The response to this question is that p has a value of 8, or the cube root of 8. i.e. p=∛8.
Why do you use the term "Cube roots"?An integer y such that y³ = x is known as the cube root of a number x in mathematics. All nonzero complex numbers have three different complex cube roots, while all nonzero real numbers have exactly one real cube root and two complex conjugate cube roots. When we multiply a factor three times to obtain a number, we have obtained the cube root of that factor. Three cube root of, ending cubic root is the sign for the cube root. In contrast to cubing an integer, finding its cube root is a mathematical operation.
According to the equation, p³=8
We can clearly see that the power of p is 3.
Now by taking cube root on both the sides, we can see that the value of p is
∛p³=∛8
⇒p=∛8
The value of p in the equation cube root of 8.
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Ivanna can type 54 words in 9 minutes. what is her rate in words per minutes
Answer: 6 words per minute
Step-by-step explanation:
54 words / 9 minutes =
54/9=6 words per minute
Answer:
6 words/min
Step-by-step explanation:
9 min --- 54 words
÷9 ( )÷9
1 min --- 6 words
Xochitl earned $94.80 at her job when she worked for 4 hours. What was her hourly
wage, in dollars per hour?
Answer: $23.70/hr
Step-by-step explanation:
x= hourly wage
4= the number of hours worked
$94.80=total earned
4x=$94.80
x=$94.80/4
x= $23.70/hr
She earned $23.70 per hour
Diana usually drives at an average rate of 30 mph. If Diana drives at an average rate of x mph, how long will it take her to get to Tony's house?
Diana drives for two hours at a speed of 30 mph, covering a total distance of 60 miles to get to Tony's house.
What exactly is average speed?Average speed is described as the ratio of a body's total distance traveled to the total time required to reach its destination.The total distance covered by the element in a given time interval is the average speed. A scalar quantity is average speed. It is depicted by magnitude and lacks direction.Diana drives for two hours at a speed of 30 miles per hour.
To calculate the distance she will travel
Average speed = total distance / total time
Total time = two hours and the average speed = 30 mph
30 mph = total distance / two hours
Total distance = 30 × 2
Total distance = 60 miles
Therefore, Diana drives for 2 hours at a speed of 30 mph, so the total distance traveled is 60 miles to get to Tony's house.
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statistically speaking, the value that describes how far off an average could be is called the error.
The accuracy of a survey estimate refers to the closeness of the estimate to the true population value. Where there is a discrepancy between the value of the survey estimate and the true population value, the difference between the two is referred to as the error of the survey estimate.
The total error of the survey estimate results from the two types of error:
sampling error, which arises when only a part of the population is used to represent the whole population; and
the non-sampling error which can occur at any stage of a sample survey and can also occur with censuses. Sampling error can be measured mathematically whereas measuring non-sampling error can be difficult.
Sampling error is affected by a number of factors including sample size, sample design, the sampling fraction, and the variability within the population. In general, larger sample sizes decrease the sampling error, however, this decrease is not directly proportional.
The most commonly used measure of sampling error is called the standard error (SE). The standard error is a measure of the spread of estimates around the "true value". In practice, only one estimate is available, so the standard error can not be calculated directly.
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Malia uses 51 yards of ribbon to make 17 bows. the relationship between ribbon and bows is proportional. how many yards of ribbon does malia need to make 68 bows?
Malia that uses 51 yards of ribbon to make 17 bows will have to use 204 yards of ribbon to make 68 bows
To solve this problem we will use a rule of three with the problem information:
17 bows-------- 51 yards of ribbon
68 bows-------- x
Applying the rule of three we get:
x = (68 bows * 51 yards of ribbon) /17 bows
x = 204 yards of ribbon
What is rule of three?It describes the proportionality of 3 known data and an unknown data. When you have more than 3 known facts that are involved in the proportionality, it is known as a compound rule. The rule of three is also known as a direct proportions.
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Write 512 as a product of primes.
Use index notation when giving your answer.
help me please
Answer:
2⁹
Step-by-step explanation:
Repeatedly dividing 512 by 2 which is a prime number gives:
512 = 2 x 2 x 2 x 2 x 2 x 2 x 2x 2 x 2 = 2⁹ in index notation
Answer:
1,2,4,8,16,32,64,128,256,and 512
Jill's plant is 15 inches tall and grows 0.25 inches each week, Mox's plant is 18 inches fall and grows 0.25 inches each week. At this rate, will Jill's plan! ever be faller than Max's Explain
28.007 x 10² = _____
28.007 x 10² = _2800.7_
[tex] \red{ {10}^{2} } = 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = \red{100} \times 28.007 \: \: multiply \: the \: numbers \\ = \green {2800.7}\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
that's all :)
#CarryOnLearning
[tex] \: \Large \mathbb{SOLUTION:}[/tex]
[tex] \: \: \text{28.007 × 10² }[/tex]
[tex] \: \: \text{Calculate the power}[/tex]
[tex] \: \: \text{28.007 × 100 }[/tex]
[tex] \: \: \text{Calculate the product or quotient}[/tex]
[tex] \: \: \text{\underline{\underline{2800.7}}}[/tex]
Need help question 5!
Answer: a.{2, 4, 5, 7, 15} b.{2, 3, 5, 6.5, 9}
Step-by-step explanation: for (a.) you find the median and both extremes, lower and highest value, and for (b.) you just have to re-find the median and the new upper and lower quartiles.
Hope this helps c:
consider a traingle of base 1 cm and height 1 cm.on the same base and on the same side, second traingle is drawn with half the previous height.if this process continues as many times as possible what will be the total area of all the traingles thus formed????
As n approaches infinity, the area of the triangle decreases until it equals 1, resulting in a triangle of area 1.
What is a geometric summation equation?Every term in a geometric sequence has a fixed relationship to the term before it. A popular representation of a geometric sequence containing the initial term a, the common ratio r, and a finite number of terms is a, a*r, a*r₂, ..., a*r(ₙ₋₁).
According to given value;
The area of first triangle =(1)*(1)*(1/2)=1/2
The area of second triangle =(1/2)*(1/2)
=(1/2)²
The area of third triangle =(1/2)²*(1/2)=(1/2)³
The area of [tex]n^{th}[/tex] triangle = (1/2)ⁿso the total area of all triangle is formed;=(1/2)+(1/2)²+(1/3)³+.......+(1/2)ⁿ
=(1)-(1/2ⁿ)
The formula of geometric summation equation;= a₁-(1-qⁿ)/(1-q)
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the set of differentiable real-valued functions f on the interval .0; 3/ such that f 0 .2/ d b is a subspace of r.0;3/ if and only if b d 0.
The condition [tex]f^{\prime}(2)[/tex] = 0 to form a subspace of [tex]\mathbb{R}^{(0,3)}[/tex] is that f ∈ S is that otherwise, S wouldn't be closed under addition and thus would not be a subspace of [tex]\mathbb{R}^{(0,3)}[/tex].
What is additive identity?An identity element (like 0 in the collective of whole numbers under operation of addition) that leaves unaffected any element that it is added in a provided mathematical system.
Now, for the given question.
I'd just like to comment on the paragraph about intuition as well as the additive identity: That instinct is incorrect.
First, we could perhaps define a object that we need to confirm is a subspace of [tex]\mathbb{R}^{(0,3)}[/tex] in a more precise manner than the translation in which it is initially presented. We want to look at a set, S.
Where,
[tex]S=\left\{x, f \mid 0 < x < 3, f \in \mathbb{R}^{(0,3)} \wedge f^{\prime}(x)=0\right\}[/tex]
We are specifically tasked with having to prove the restriction just on derivative of f, which is best accomplished in the manner made reference.
The fact that S, as described above, describes a functional space explains why my initial intuition about problem is ultimately incorrect. I was hindering myself by viewing it solely as a geometric space.
As a result, I missed the fact that zero function (the additive identity in such a functional space) is indeed a natural member of S.
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The complete question is-
I'm working my way through Axler's "Linear Algebra Done Right", and I've run into a proposition that I don't understand. Namely:
The set of differentiable real-valued functions f on the interval (0, 3) such that [tex]f^{\prime}(2)[/tex] = b is a subspace of [tex]\mathbb{R}^{(0,3)}[/tex] if and only if b = 0.
My intution is that this has something to do with the fact that a subspace requires an additive identity, but that because the domain of the differentiable functions is open and exludes 0, we have to make some concessions (i.e. [tex]f^{\prime}(2)[/tex] = 0), though I'm unsure of how to work up a proof that backs this.
Why must [tex]f^{\prime}(2)[/tex] = 0 to form a subspace of [tex]\mathbb{R}^{(0,3)}[/tex]?
the ratio to the number of adults to the number of chirldren at a restaraunt is 3 to 7 whats a equavielent fraction
The equivalent fraction is: 3/7 or 6/14 or 15/35
What is an equivalent fraction?Equivalent fractions are those that, despite their visual differences, reflect the same value. You will have consumed half of a cake, for instance, if you have one, divide it into two equal pieces, and then eat one of the pieces.
Given:
Ratio of number of adults to that of children = 3:7
3 : 7 = 3/7
There can be 'n' number of equivalent fractions for this fraction, such as: 3/7, 6/14, 15/35
Hence, The equivalent fraction is: 3/7, 6/14, 15/35
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Convert the decimal below to a fraction in simplest form.
0.166
(166÷2)
______
(1000÷2) = 83/500
f(x) = √2-x-x²
Find domain and range
The function of domain is X∈R and the range is [tex]\[\left\{ {f \in \mathbb{R}:f \le \frac{1}{4}(1 + 4\sqrt 2 )} \right\}\].[/tex]
The given function is [tex]\[f\left( x \right) = \sqrt {2 - x - {x^2}} \][/tex]
Domain: The domain of a function is the set of input or argument values for which the function is real.
Use commutative properties to reorder the terms
[tex]\[f(x) = \sqrt { - x + 2} - {x^2}\][/tex]
Separate the function into parts to determine the domain of each part
[tex]\[f\left( x \right) = \sqrt { - x + 2} \]=-x+2= x^{2}[/tex]
Domain is XR (all real numbers)
The function has no undefined points nor domain constraints. Therefore, the domain is X∈R.
Range: The set of values of the dependent variable for which a function is defined
Range of [tex]\[\left\{ {f \in \mathbb{R}:f \le \frac{1}{4}(1 + 4\sqrt 2 )} \right\}\][/tex]
Combine the ranges of all domain intervals to obtain the function range.
Hence, the domain and the range of the function [tex]\[f\left( x \right) = \sqrt {2 - x - {x^2}} \][/tex] are
Domain = X∈R
Range [tex]=\[\left\{ {f \in \mathbb{R}:f \le \frac{1}{4}(1 + 4\sqrt 2 )} \right\}\][/tex].
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Kara's Custom Tees experienced fixed costs of $800 and a variable cost of $3 per shirt. Write an equation that can be used to determine the total costs encountered by Kara's Custom Tees when x shirts are produced. Then, determine the total cost of producing 75 shirts.
The total cost of producing 75 shirts will be $1050.
It is given that Kara's Custom Tees experienced fixed costs of $800 and variable cost of $3 per shirt.
We have to find an equation and also the total cost of producing 75 shirts.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , multiplication , etc.
As per the question ;
Fixed cost = $ 800
and
Variable cost per shirt = $3.
If x shirts are produced then ; then equation will be ;
= 800 + 3x
And total cost of 75 shirts will be ;
= 800 + 3 × 75
= 800 + 225
= $ 1050
Thus , the total cost of producing 75 shirts will be $1050.
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c. Would the sum of the interior angles of a triangle in this type of geometry be different from those of triangle in Euclidean geometry? Explain.
The fact that the sum of the interior angles of a triangle add up to 180 is equivalent to the parallel postulate. Therefore, the sum of the interior angles of a triangle in this type of geometry be different from those of triangle in Euclidean geometry.
How to illustrate the information?There is only one parallel to the given line in Riemannian geometry. A straight line of finite length that can be continued endlessly is the second postulate of Euclid.
One of the non-Euclidean geometries that entirely rejects the validity of Euclid's fifth postulate and alters his second postulate is Riemannian geometry, commonly known as elliptic geometry. The fifth postulate of Euclid states that there is only one line that passes through a point that is not on a particular line and is parallel to that line.
In this case, the angles won't change as it's always equal
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Use the graph of
f(x) = x3
to write an equation for the function represented by each graph.
Answer:
y = - x³ - 3x² - 3x - 4
Step-by-step explanation:
!!!!!!
The function represented in the graph is -
[tex]y\ =\ -\left(x+0.9\right)^{3}-3.3[/tex]
What is a exponent? What is logarithmic function?In mathematics, if -
xⁿ = k
then -
[n] is called exponent
[x] is called base.
Logarithm is the inverse function to exponentiation. That means the logarithm of a number [x] to the base [b] is the exponent to which [b] must be raised, to produce [x]. We can write -
[tex]y = log_{e}x[/tex]
We have the function as -
f(x) = x³
Refer to the graph of the function in the modified form. The function after being translated is same as the one given in the question. The function after translation is -
[tex]y\ =\ -\left(x+0.9\right)^{3}-3.3[/tex]
Therefore, the function represented in the graph is -
[tex]y\ =\ -\left(x+0.9\right)^{3}-3.3[/tex]
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If you move 50.0 meters in 10.0 seconds, what is your speed
Answer:
5 m/s
Step-by-step explanation:
The equation for speed is distance/time. The distance given is 50 meters. The time given is 10 minutes. 50/10 is 5. 5 meters per second is your speed.
A college student is considering a subscription to a social- net working
Internet site that advertises its costs as "only 87 cents per day." What is the
cost of membership in dollars per year?
Answer:
$317.55
Step-by-step explanation:
There are 365 days in a year and the subscription is 0.87 cents per day.
365 * 0.87 = 317.55
an aaba form can be repeated to create a larger form; when b and a are repeated after the first aaba, it is called a
An AABA form can be repeated to create a larger form; when b and a are repeated after the first AABA, it is called a "partial reprise". The BA or ABA sections of the AABA structure are repeated in the majority of partial reprises.
What is reprise?The term "reprise" is derived from the French word "repris," which means "act of taking back." The word is also derived from the Latin word "reprendre," which means "taken up again." The term is typically used in music, but it can refer to any continuation of an action.
Various uses of reprise in musics are given below-
Music that is classical: Reprises are most prevalent in the sonata form's recapitulation section.Music for films: Characters and settings are given specific motifs by film composers. These motifs reappear throughout the film.Theatrical musicals: Repetition is used in musical theater as scenarios develop and characters reappear.Jazz: Repetition is used by jazz musicians in a head-solo-head music format. The players begin with a pre-composed segment labeled the head, then break off towards solos influenced by that head, & finish with a reprise of a initial theme.Rock and pop: Pop and rock are created on repetition, and whenever a tune, vocal hook, or entire chorus is repeated, we can call it a reprise.To know more about pop music, here
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write an inequality for the graph.
The inequality for the graph is given by y > | x - 5 | + 1 .
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
A graphical representation of an inequality in 2 dimension refers to as the region above or below the graph.
Given the graph of an inequality we write the required inequality using translation properties of a graph.
The parent function of the graph can be written as y > | x |.
the graph of y > | x | is attached below.
The following steps are used to write the inequality:
Now for the vertical shift of 1 unit of the graph we replace the y value with y-1. Therefore the new inequality becomes y-1> |x| or , y = | x | +1Now for the horizontal shift of 5 units of the graph we replace the x with x-5 , Therefore the graph becomes y > | x - 5 | + 1Hence the required inequality for the graph is given by y > | x - 5 | + 1
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f(x) = 8x
g(x) = 12x + 3
Find (f g)(x)
f(x)= 14
g(x)= 3 - 12x
find f(x) • g(x)
please, it’s for tomorrow and i need whit the process
a) for given functions f(x) = 8x and g(x) = 12x + 3,
(f g)(x) = 96x² + 24x
b) for functions f(x)= 14 and g(x)= 3 - 12x,
f(x) • g(x) = 42 - 168x
In this question, we have been given two functions.
We need to find the given function.
a) f(x) = 8x and g(x) = 12x + 3
To find (f g)(x)
We know that, the product of functions f(x) and g(x) is:
(f g)(x) = f(x) . g(x)
(f g)(x) = (8x) (12x + 3)
(f g)(x) = 96x² + 24x
So, for given functions f(x) = 8x and g(x) = 12x + 3,
(f g)(x) = 96x² + 24x
b) f(x)= 14 and g(x)= 3 - 12x
To find f(x) • g(x)
f(x) • g(x) = (14) . (3 - 12x)
f(x) • g(x) = 42 - 168x
So, for functions f(x)= 14 and g(x)= 3 - 12x,
f(x) • g(x) = 42 - 168x
Therefore, a) for given functions f(x) = 8x and g(x) = 12x + 3,
(f g)(x) = 96x² + 24x
b) for functions f(x)= 14 and g(x)= 3 - 12x,
f(x) • g(x) = 42 - 168x
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A line contains points M, N, O, P, Q, R, S with arrows instead of endpoints.
Which point is located on ray PQ?
point M
point N
point O
point RA line contains points M, N, O, P, Q, R, S with arrows instead of endpoints.
Which point is located on ray PQ?
point M
point N
point O
point R
The point which is located on the ray PQ as required in the task content given that the points M, N, O, P, Q, R, S are collinear is; point R.
Which point among the answer choices is one which is located on the ray PQ as required in the task content?It follows from the task content that the point which is located on the ray PQ is to be identified among the given answer choices.
Since all points given are said to be contained on a line, it can therefore be inferred that the points are collinear.
Also, by the definition of a ray; it follows that the ray PQ is one which starts from P and goes through Q and continues in the direction of Q.
Ultimately, the point which is located on such ray as described above among the answer choices is the point R.
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Answer:
Point R
Step-by-step explanation:
TRUE OF FALSE. A dilation with a scale factor that is not equal to 1 is always used to create
similar figures while it is never used to create congruent figures.
Answer:
False! as long as the the Scale Factor is 1, there is still a possibility that the figure will be congruent or greater! GOOD LUCK!
Answer: True
Step-by-step explanation: This is the difference between using transformations to create similar figures vs using transformations to create congruent figures. Similar figures are figures with the same shape. Congruent figures are figures with the same shape and size. If the scale factor is not equal to 1, then the figures are similar. If the scale factor is equal to 1, then the figures are congruent.
Harry is saving for the deposit for an apartment. He has 21 350 EUR, but needs at least 30
000 EUR in 3 years time.
He compares banks that offer annual interest compounded monthly.
What is the minimum interest rate he requires to meet his needs? Give your answer to three
significant figures.
[Answer format: 00.0%]
We need to know about the concept of compound interest to solve the given problem. The minimum interest rate that Harry needs to meet his need is 11.4%
Compound interest can be described as the interest that you earn on both the principal amount and the interest earned. In this question it is said that the bank offers annual interest compounded monthly, we will be using a formula to solve this problem. Since Harry has 21350 EUR we will take that as the principal amount and the minimum amount that he needs is 30000 EUR we will consider this to be the final amount at the end of 3 years. We need to find out the rate of interest that the bank offers.
A=P[tex](1+\frac{r}{12} )^{12t}[/tex] where A is amount, P is principal, r is the rate of interest and t is time period.
P=21350 EUR
A=30000 EUR
t=3
30000=21350[tex](1+\frac{r}{12}) ^{36}[/tex]
[tex]\frac{600}{427} =(1+\frac{r}{12}) ^{36}[/tex]
1+[tex]\frac{r}{12}[/tex]=1.00949
r/12=0.00949
r=0.1139
r=11.4%
Therefore we found that the minimum rate of interest Harry requires to meet his needs is 11.4%
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How many different whole numbers between 1 and 150 have exactly 3 different factors?
There are five whole numbers between 1 and 150 that have exactly 3 different factors. Whole numbers between 1 and 150 with exactly 3 different factors must be the square numbers whose square roots are prime.
To find the complete list begin counting...
skip 1, not prime;
2 is prime and 2 squared is 4;
3 is prime and 3 squared is 9;
skip 4 b/c it is not prime;
5 is prime and 5 squared is 25;
6 not prime;
7 prime and 7 squared is 49;
8 not prime;
10 not prime;
11 prime and squared is 121;
12 is not prime;
13 prime, but squared it is greater than 150.
The complete list is 4, 9, 25, 49, and 121. 4 has 1, 2, 4;
9 has 1, 3, 9;
25 has 1, 5, 25 ;
49 has 1, 7, 49 ;
121 has 1, 11, 121.
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What are the vertex and range of y = |x + 3| + 2?
(−3, 2); 2 ≤ y < ∞
(−3, 2); −∞ < y < ∞
(0, 5); 2 ≤ y < ∞
(0, 5); −∞ < y < ∞
Answer: B
I took the quiz
Answer:
(−3, 2); 2 ≤ y < ∞
Step-by-step explanation:
I literally took the test hours ago
whats the pattern of 1,1,11,6,6,16,11,11,21,16
The pattern is 1, 1, 11, 6, 6, 16, 11, 11, 21, 16, 16, 26.
Given,
The pattern: 1, 1, 11, 6, 6, 16, 11, 11, 21, 16.
Here,
First and second term:
1,1 = same number repeat for two times.
Third term:
11 = preceding term + 10
That is, 1 + 10 = 11: That is the third term.
As follows:
Fourth and fifth term:
6, 6 = same number repeat for two times.
Sixth term:
6 + 10 = 16
Seventh and eighth term:
11, 11 = same number repeat.
Ninth term:
11 + 10 = 21
Tenth term is given: 16
Now we have to find eleventh and twelth terms:
Tenth and eleventh should be same number repeat for two times:
16, 16
Twelth term:
16 + 10 = 26.
Now we can complete the pattern:
1, 1, 11, 6, 6, 16, 11, 11, 21, 16, 16, 26.
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what are the zeros of the expression (x-5)(2x+7)
The zeroes of the expression are 5 and -3.5.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The zeroes of the expression can be found by equating the factors of the given expression with 0. Therefore, the zeroes of the expression are,
x - 5 = 0
x = 5
2x + 7 = 0
2x = -7
x = -7/2
x = -3.5
Hence, the zeroes of the expression are 5 and -3.5.
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-30.
How can a graphing calculator help you find the solution to a system of equations? Consider this system:
5x - y = 35
3x + y = -3
a. First graph the system in a standard window. Can you see the solution on your screen?
b. To find the solution you will need to change the window on your calculator. Discuss with your team what maximum value, minimum value, and scale
you should use for the 2- and y-axes in order to see the intersection. After you have decided, check your conclusion on the graphing calculator.
c. Use a "trace" function on your calculator to find the solution from the graphs. Then solve the system algebraically.
d. Discuss the two methods with your team. Explain which one your team prefers and why.
The solution for the system of equation is 4534 and the graphical representation is attached below.
A system of equation or simultaneous equations are a pair of linear equation is 2 variables such that they represent a pair of straight line sin the cartesian plane.
The point of intersection of these two line on the cartesian plane is given by the solution of the two equation that are given.
A system of equations can be solved algebraically by matrix method , elimination method or by substitution.
Now let us solve the given equation algebraically by elimination method.
5x - y = 35
3x + y = -3
Adding the equation we get:
or, 8 x = 32
or, x = 4
putting the value of x in the first equation we get:
5 × 4 - y = 35
or, -y = 35 - 20
or, y = -15
Hence the point of intersection is ( 4 , -15 )
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