Answer:
No solution
Step-by-step explanation:
On the left side we have one half x plus one half x which equals x. On the right side we have x + 1. So the equation becomes x = x + 1. Subtracting x from both sides we get 0 = 1, which is false. Therefore there is no solution to this problem.
How would I solve these problems
Answer:
1a. -( x + 1)² + 4
1b. y-intercept at y = 3
1c. x-intercepts at x = -3 and x = 1
Derivation of 1b and 1c below
Step-by-step explanation:
Question 1a
The vertex equation form of a parabola is given by
y = a(x-h)² + k where (h, k) are the coordinates of the vertex
If a > 0 then the parabola is facing up(vertex is at a minimum) and if a < 0 then parabola is facing down (vertex at a maximum)
From the graph we see that the parabola is facing down so a = -1
The vertex is at (-1, 4) so h = -1 and k = 4
Therefore the equation of the parabola is
y = -1(x - h)² + k = -1(x- (-1))² + 4 = -1(x + 1)² + 4
y = -( x + 1)² + 4 (Answer 1a)
Question 1b
The y-intercept is the y-value where the parabola crosses the y-axis. From the graph we see that the parabola crosses the y-axis at y = 3 and x = 0
So y-intercept from the graph is 3
To solve algebraically, set x = 0 in the parabola equation and solve for y
We get, for x = 0,
y = - (0 + 1)² + 4
y = -(1²) + 4 = -1 + 4 = 3
Hence verified
Question 1c
There will be two x-intercepts for a parabola. Looking at the graph we see that the parabola intersects the x-axis at two points (-3, 0) and (1, 0). So the two x-intercepts are -3 and 1
Algebraically we can determine the x-intercepts by setting y = 0 and solving for the two values of x
Setting y = 0 in the parabolic equation, we get
y = 0 = -(x + 1)² + 4
Switch sides
-(x + 1)² + 4 = 0
-(x + 1)² = -(x² + 2x + 1) = -x² -2x - 1
-(x + 1)² + 4 = 0
==> -x² -2x - 1 + 4 = 0
==> -x² - 2x +3 = 0
Multiply by -1 both sides
==> x² + 2x - 3 = 0
Solve this quadratic equation by factoring
x² + 2x - 3 = (x - 1)(x + 3) = 0
The solutions are
x - 1 = 0 ==> x = 1
x + 3 = 0 ==> x = -3
Hence verified
Sophia buys 13 bottles of cranberry juice at the corner store for a total cost of $7.02. If each bottle costs the same amount, how much is 14 bottles of juice?
The cost for 14 cranberry juice bottles would be $7.56
In this question, Sophia buys 13 bottles of cranberry juice at the corner store for a total cost of $7.02
If each bottle costs the same amount, we need to find the amount for 14 bottles of juice.
Let x be the cost of one bottle of cranberry juice.
13 bottles of cranberry juice costs $7.02
So, we get an equation,
13x = $7.02
We solve above equation to find the cost of 1 bottle of cranberry juice.
x = $0.54
By unitary method the cost for 14 cranberry juice bottles would be,
14 × 0.54 = $7.56
Therefore, the cost for 14 cranberry juice bottles would be $7.56
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If f(x) = -2x - 3 and g(x) = x^2 5x what is f(-1)
Answer:
it's -2/67x12w<3(xyz)
How to understand algebra 1 dot plots
We can understand dot plot by taking example of be the choice of foods that you and your friends ate for snacks.
A dot plot is a type of graphical display that uses filled circles (dots) and a simple scale to compare counts (frequencies) within a category or group when working with small data sets with few groups . A chart with letters or words (non-numeric categories) on the x-axis is called a qualitative dot plot. The dot plot above is a qualitative dot plot because A, E, I, O, and U are not numeric. Qualitative variables cannot be described in terms of center, spread, or shape. If the x-axis contains numbers (numerical categories), it is called a quantitative dot plot. This dot plot can be described in terms of center, spread, or shape.Dot plots are used to represent small amounts of data. To analyze this chart, let's say four people are having a snack together. Snack selections are pizza, burgers, fries, and pasta. Using the dot plant, we can see that everyone chose pizza. Also, her 3 other people in your group added burgers to their snack plates. The graph also shows that two people in the group added French fries and one person in the group added pasta to their meal.
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Subtract using a number line.
-3.3-(-0.6)
Plot the minuend and, the difference on the number line.
Answer:
2.7
Step-by-step explanation:
When you subtract a negative number, you are actually adding because the negatives cancel out. So, it will be -3.3+0.6, which is -2.7
hope this helps! ibrahim
Hi there! Your answer is 2.7
Step-by-step explanation:
Add: -3.3+-0.6 = 2.7
When subtracting two negative numbers, this will result in a positive number since the negatives cancel each other out.
Hope this helps! :)
In triangle PQR,work out the values of a ,b and c.Give your reason for you answer .
Answer:
m∠a = 100°
m∠b = 100°
m∠c = 110°
Step-by-step explanation:
Calculation of m∠a
∠a is an exterior angle of ΔPST .
Therefore m∠a = sum of the interior angles of ΔPST
m∠a = 30 + 70 = 100°
Calculation of m∠c
∠c and ∠PST are supplementary so their measures must add up to 180°
m∠c + 70° = 180° so m∠c = 180 - 70 = 110°
Calculation of m∠b
QRST is a quadrilateral.
The sum of the interior angles of the quadrilateral = 360°
So m∠a + m∠b + 50 + m∠c = 360°
We have already computed ∠a = 100° and ∠c = 110°
So 100 + m∠b + 50 + 110 = 360°
260 + m∠b = 360
m∠b = 360 - 260 = 100°
Miguel saves 1/6 of his wage. He spends one third of his wage on his mortgage. How much does he have left ?
hi
1/3 =2 /6
so 1/6 +2/6 = 3/6
as 3/6 is half if his income, then he remains the other half
Can someone halp real quick.
Brainliest award
The equation of the line passing through (14, 25) and (9, -10) is given by y = 7x - 73
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The standard equation of a line is:
y = mx + b
Where m is the rate of change and b is the y intercept
The equation of the line passing through the point (14, 25) and (9, -10) is:
y - 25 = [(-10 - 25)/(9 - 14)](x - 14)
y = 7x - 73
The equation of the line passing through (14, 25) and (9, -10) is given by y = 7x - 73
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how is dimension related to the number of coordinates need to locate a point?
Twice the difference of a number and 2 is greater than or equal to 16
Answer: n>=10
Step-by-step explanation:
n=number
2(n-2)>=16
2n-4>=16
2n>=20
n>=10
Answer:
[tex]2(x-2)\geq 16[/tex]
[tex]2x-4\geq 16[/tex]
[tex]2x\geq 20[/tex]
[tex]x\geq 10[/tex]
Step-by-step explanation:
Speed and travel time are inversely related, the faster you go, the less time it takes
to get to your destination. If it takes 20 minutes to get to school when you go 30 mph,
how long will it take to get to school if you travel 45 mph? (hint: speed=k/time)
Answer:
Step-by-step explanation:
speed = distance/time
however speed is a compound measure
distance to school = speed x time
= 30mph x 1/3hr
= 10m
time = 10m / 45mph
= 13.3 (recurring)
= 13 mins
11. There are 8 fluid ounces in one cup. If you
double the amount of fluid ounces, will the
amount of cups also double? Write an
argument that can be used to defend your
solution.
Answer:
Yes
Step-by-step explanation:
Imagine you have 1 cup. It’s 8 oz. Then imagine someone came up and doubled the # of ounces you have. Now you have 16 oz or 2 cups. 2 cups is double one.
This isn’t a good explanation, sorry lol
But honestly, just think of it as a fraction, what you do to the top, you do to the bottom. As long as you do the same thing to the cups that you did to the ounces, the cups and ounces will remain proportional.
The diameter of a strand of rope is 1.2 × inch. The diameter of a strand of floss is 2.0 × inch.
How much longer is the diameter of the strand of rope than the diameter of the strand of floss?
A. 2.0 × inch
B. 1.0 × inch
C. 2.0 × inch
D. 1.0 × inch
The rope's diameter is 10⁻³ inches greater than that of the floss, for example.
The diameter of a stand of rope is 1.2 × 10⁻³ inch.
The diameter of a strand of floss is 2 × 10⁻⁴ inches.
Subtract the diameter of the floss strand from the diameter of the rope to determine how much longer the diameter of the rope is than the diameter of the floss.
Therefore, the length by which the diameter of the strand of rope is longer than the diameter of the strand of floss will be:
= 1.2 × 10⁻³ inch - 2 × 10⁻⁴ inches
Now,
= 12 × 10⁻⁴ inch - 2 × 10⁻⁴ inch
= 10 × 10⁻⁴ inch
= 10⁻³ inch
The diameter of the strand of rope is 10⁻³ inches longer than the diameter of the strand of floss.
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a racetrack charges $80 each seat in the lower section, $65 for each seat in the upper sections, and $30 for field tickets. there are three times the number of seats in the upper section as compare to the lower section. the revenue from selling all 21,200 seats is $915,000. how many of each ticket were sold at the racetrack?
The number of each ticket sold was:
The upper section contains 5160 seats, the lower section contains 1720 seats, and the field contains 17320 seats.Given Information:
Each seat in the lower section costs $80, each seat in the upper section costs $60, and field tickets cost $40.The upper section has three times the number of seats as the lower section.The total revenue from the sale of all 24,200 tickets is $1,140,000.The steps below can be used to calculate the total number of seats in each section:
Step 1 - In the lower section, enter 'x' as the total number of seats.
So, based on the data provided, the total number of seats in the upper field is '3x'. Let y be the total number of seats in the field.Step 2 - The linear equation that represents total ticket revenue.
80x + 60(3x) + 40y = 1140000260x + 40y = 1140000 ...(1)Step 3 - The linear equation representing the total number of tickets is as follows:
x + 3x + y = 24200y = 24200 - 4x ...(2)Step 4: Change the value of y in the equation (1).
260x + 40(24200 - 4x) = 1140000x = 1720 ticketsStep 5: Change the value of 'x' in equation (2).
y = 24200 - 4(1720)y = 17320 ticketsTherefore, the number of each ticket sold was:
The upper section contains 5160 seats, the lower section contains 1720 seats, and the field contains 17320 seats.Know more about linear equations here:
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The correct question is given below:
A racetrack charges $80 for each seat in the lower section, $60 for each seat in the upper section, and $40 for field tickets. There are three times the amount of seats in the upper section as the lower section. The revenue from selling all 24,200 tickets is $1,140,000. write a system to represent the situation. How many seats are in each section
a professor wants to randomly select 4 students to go to the board. she decides to randomly select the third student who enters the classroom and every seventh student after that. determine the students who will be going to the board. write down the student numbers.
The total number of students chosen is 4, 13, 22, and 31.
What is random selection?Random selection, also known as random sampling, is a method of selecting members of a population to be included in your study's sample. Random assignment, on the other hand, is a method of dividing the sample into control and experimental groups. The goal is to make the results more generalizable. The goal of selecting a random sample from a larger population is to ensure that the sample is representative of the larger group and less likely to be biased.To determine the students who will be going to the board:
The professor wishes to choose four students at random.She then chose the fourth and ninth students at random.The fourth student is chosen first.Now, using the following term formula, a + d (n - 1).
The second student is up next.
= 4 + 9(2-1) = 4 + 9(1)= 4 + 9= 13The third student will:
= 4 + 9(3-1)= 4 + 9(2)= 4 + 18= 22The fourth student will:
= 4 + 9(4-1)= 4 + 9(3)= 4+ 27= 31Therefore, the total number of students chosen is 4, 13, 22, and 31.
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bro's please help like fr I don't know WHAT IS 4 1/4 TIMES 6 AND PLAESE GIVE ME BOTH SIMP AND NOT THANK YOU <33
Answer:
Exact Form:
51/2
Decimal Form:
25.5
Mixed Number Form:
25 1/2
Step-by-step explanation:
Please help with explanation
The perimeter of the sandbox is 2x+2y.
Therefore, the inequality is
[tex]\boxed{2x+2y \leq 20}[/tex]
25 POINTS PLEASE HELP
Answer:
Step-by-step explanation:
Write the equation of a quadratic function in standard form for the parabola that passes through the given points.
(1,5), (4,0), (5,7), (1,9), (3,5), (0,8)
Answer:
5,7 given point its korrect now
Point M is on line segment
L
N
‾
LN
. Given
L
N
=
9
,
LN=9,
M
N
=
4
x
,
MN=4x, and
L
M
=
5
x
,
LM=5x, determine the numerical length of
M
N
‾
.
MN
The value of x from the given expression is 1
Addition postulateIf the point M is on the line LN, then the equivalent addition postulate is expressed as;
LM+MN = LN
Given the following
LN=9,
MN =4x
LM=5x
Substitute
5x + 4x = 9
9x = 9
x =9/9
x = 1
Hence the value of x from the given expression is 1
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A triangle has height of 15 in. And area 120^2 . What is the length of its base
Answer:
16 inches
Step-by-step explanation:
Multiply 120 by 2 to start reversing the triangle area equation.
120*2 = 240.
Now divide by 15
240/15=
16
The length is 16 inches
How to find the greatest number of identical arrangements that can be made what is 54 roses and 42 tulips or no flowers left over.
The greatest number of identical arrangements that can be made is 6 arrangements of 7 tulips and 9 roses.
The above problem we can use the greatest common factor, we are provided with the information that there are a total of 42 tulips and 54 roses. Now, we will find the greatest common factor of 54 and 42.
42- 54|2
21- 27 | 3
7 - 9
So the greatest common factor of 54 and 42 is 6, here we are left with 7 and 9 which indicates the number of tulips and roses
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Arthur is 7 years older than his brother. In 8 years, Arthur will be twice his brother's current age. How old is Arthur now?
Answer:
15 years old
Step-by-step explanation:
Answer: 22
Step-by-step explanation:
this problem is solved by a system of equations
Let Arthur’s current age be represented by:a
His brother’s current age will be represented by: b
The first equation will be:
a = 7 + b
The second equation will be:
a + 8 = 2b
now we solve for the equations. Plug in a = 7+b into a in the second equation.
So now we have
b+7+8=2b
Simplify:
B+15=2b
15=b
We aren’t done yet though
Arthur’s brother is 15 years old but since he is 7 years older we need to add 7 to 15
Hence, Arthur is 22 years old.
10. Faye wrote a list of values in descending order, but one of the values was erased as shown.
Which of the following could be the missing value?
b. 60%
c. 5.8
d. √23
31.12√26
The erased value in the descending order series is 5.8 so option (C) will be correct.
What is a series?A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.
Given the descending order series ;
31/5,---- 5 1/2, √26
Since the series is descending its means every next term must be smaller than the previous.
In the given option
6 1/4 = 6.25 and 31/5 = 6.2 so 6.25 > 6.2 so it will not the missing term.
60% refers to 0.60 but 5 1/2 > 0.60 so it is also no solution.
5.8 < 6.2 and 5 1/2 < 5.8 so it will be the solution.
Last √23 = 4.795 but 5 1/2 > 4.795 so it will also not solution.
Hence "The erased value in the descending order series is 5.8".
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a digital scale measures weight to the nearest 0.2 pound which measurement shows an apporpriate level of precision for the scalae brainly
A. 130.4 pounds shows an appropriate level of precision for the scale
The quantity 0.2 pound represents readability of the digital scale. It is also known by the terms division size or resolution. The number indicates the division in digital scale. The scale division will be 20 in case 0.2 readability. Another example of readability can be understood by more simple divisions. For instance, 1 gram readability can be divided into divisions like 5 or 25 etc.
Capacity, is another term related to digital scale. It refers to the highest amount that can be weighed safely by the digital scale. Precision is defined as the total number of digits in any given number. Among the given options, the option with 4 digits will be the correct option. This is represented in option A. 130.4 pounds. Hence, it shows an appropriate level of precision.
The complete question is -
A digital scale measures weight to the nearest 0.2 pound. Which
measurement shows an appropriate level of precision for the scale?
A.130.4 pounds
B.124.75 pounds
C.125 pounds
D.120 pounds
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barry is going to post-secondary school for three years. should barry get a student loan or personal line of credit to pay for his education? why?
Since Barry is going to post-secondary school for three years, a personal line of credit is vital to pay for his education.
How to illustrate the information?It should be noted that when a individual collects a loan, the person will have to pay it back with an extra amount as interest.
In this case, it's important for him to use his personal line or credit rather than collecting a student loan from people. This isn't good in this scenario.
Therefore, since Barry is going to post-secondary school for three years, a personal line of credit is vital to pay for his education.
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f(x)=2x-3
g(x)=2x³+6
find f(-2) and g(-3)
Answer:
-7
-48
Step-by-step explanation:
-2*2 = -4. -4-3=-7
-3*-3*-3=-27 -27*2=-54. -54+6=-48
When writing the range for the quadratic
parent function we use a bracket next to
infinity. Why do we use parenthesis next to
zero for the range of the exponential parent
function?
the value y = 0 does not belong to the range, that is why we need to use parenthesis next to the range.
Why do we use parenthesis next to zero for the range of the exponential parent function?When we write in interval notation, the parenthesis are used to denote that the "ends" of the interval don't belong to the interval.
This means that in (a, b).
a and b don't belong to that interval.
While if instead we wrote [a, b]
In that case, a and b belong.
For the case of the exponential function:
y = a^x
As x tends to really large negative values, the value of y will tend to zero asymptotically. This means that y is really close to zero, but it is never equal to zero.
Then the value y = 0 does not belong to the range, that is why we need to use parenthesis next to the range.
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show working out I’ll give u brainless if u help mehhhh
Miriam is 5 cm taller than her sister,who is ? cm tall.write an expression of mia's height in cm.
The expression of Mia's height in cm is 5 + x
How to write an expression of Mia's height in cm?The given parameters are
Mia's height = 5 cm taller than her sister
Her sister's height = x
The parameter "Mia's height = 5 cm taller than her sister" means that
Mia's height = 5 cm + her sister's height
Substitute Her sister's height = x in Mia's height = 5 cm + her sister's height
Mia's height = 5 cm + x
This means that the expression of Mia's height in cm is 5 + x
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