Therefore, a linear equation in two variables has infinitely many solutions. Thus, y = 3x + 5 has infinitely many solutions. Hence (iii) is the correct answer.
1Use the Zero Product Property to solve for x.
a. (x +13)(x - 7) = 0
b. (2x+ 3)(3x - 7) = 0
C. x(x-3) = 0
d. x^2 – 5x = 0
e. x^2 – 2x – 35 = 0
f. 3x^2 + 14x - 5 = 0
a. x + 13 = 0
x = -13
x-7= 0
x= 7
b. 2x +3 = 0
2x = -3
x= -3/2 or -1.5
3x -7 = 0
3x = 7
x = 7/3
c. x = 0
or x = 3
these you have to change it into that form first
d. x= 5
or x = 0
e. x= 7
or x = -5
f. x = 1/3 or -5
solve the following pair of simultaneous equations. you can use any 3 methods. 2x- y= 5, x+2y=5.
Answer:
2x-y= 5, x + 2y=5
Step-by-step explanation:
x = 3, y = 1
H. Pete wants a new truck. The sale price is 15% lower than the original price. The sale price is $20,000. Write and evaluate an expression for the original price Uses for sale price and p for original price. L. Emma Lee needs a new road bike. The sale price is 10% lower than the original price. The sale price is $450. Write and evaluate an expression for the original price, Uses for sale price and p for original price. J. You can find the distance in feet that an object falls in t seconds using the expression 1612. If you drop a ball from a tall building, how far does the ball fall in 5 seconds?
100-15=85%=SP
[tex]\\ \sf\longmapsto 85\%\times x=20000[/tex]
[tex]\\ \sf\longmapsto \dfrac{85}{100}x=20000[/tex]
[tex]\\ \sf\longmapsto x=20000\times \dfrac{100}{85}[/tex]
[tex]\\ \sf\longmapsto x=235.2(100)[/tex]
[tex]\\ \sf\longmapsto CP=23520[/tex]
Solution:-2SP=450Discount=10%CP=?100-10=90%=SP
[tex]\\ \sf\longmapsto 90\%\times x=450[/tex]
[tex]\\ \sf\longmapsto \dfrac{90}{100}x=450[/tex]
[tex]\\ \sf\longmapsto x=450\times \dfrac{100}{90}[/tex]
[tex]\\ \sf\longmapsto x=5(100)[/tex]
[tex]\\ \sf\longmapsto CP=500[/tex]
f(4) =
If g(x) = 2, x =
Answer:
f(4)=-10
x=0 if g(x)=2
i hope you will understand it
Need awnsers please
Answer:
<C+83=90 [ sum of complementary angles ]
<C=90-83
<C=7
Now,
<C+83=180 [ sum of supplementary angles ]
<C=180-83
<C=97
how I do this plzz help
Answer:
I also don't know because I did not read this chapter
Answer:
yes how can we do this i am also confusing
A truck can be rented from Company A for $140 a day plus $0.80 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
600 miles in a day.
Step-by-step explanation:
Variable x = number of miles
Company A: 140 + 0.80x
Company B: 80 + 0.90x
Set up an equation:
140 + 0.80x = 80 + 0.90x
Isolate variable x:
60 + 0.80x = 0.90x
60 = 0.10x
600 = x
Check your work:
140 + 0.80(600) = 80 + 0.90(600)
140 + 480 = 80 + 540
620 = 620
Correct!
Given the equation 5x + 23 = - 2x - 12, which order of operations completely solves for x? (1 point)
O Add 2x, then subtrost 23, lastly divide by - 7
Subtract 2x, then add -23, lastly divide by 7
O
Subtract 5x, then add 12, lastly divide by 7
Subtract 5x, then add 12, lastly divide by - 7
4.(01.02)
Answer:
-5
Step-by-step explanation:
5x+23= -2x-12
Add 2x to the other side
7x+23= -12
Subtract 23 from the other side
7x= -35
Divide 7 from the other side
x= -5
Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope (- 5, - 7); m = 1/3
Answer:
y + 7 = 1/3 (x + 5)
Step-by-step explanation:
The format for writing a point-slope equation is: y - y1 = m(x - x1).
Step-by-step explanation:
[tex]y - y1 = m(x - x1)[/tex]
where, m = 1/3, x1 = -5 and y1 = -7
[tex]y -( - 7) = \frac{1}{3} (x - ( - 5))[/tex]
[tex]y + 7 = \frac{1}{3} (x + 5)[/tex]
[tex]y = \frac{1}{3} x + \frac{5}{3} + 7[/tex]
[tex]y = \frac{1}{3} x + \frac{26}{3} [/tex]
[tex]y = \frac{1}{3} (x + 26)[/tex]
WILL MARK BRAINLIEST HELP PLEASEEE
This is the graph.
Type of Factor Beginning Frog Count Simulation 1 (Low) Simulation 2 (High)
Predators (alligators) 50k 90k 10k
Pollution 50k 50k 35k
Food (mosquitoes) 50k 25k 85k
Use the graphs you printed from the data chart in the virtual lab and analyze the data. Make a note of any trends that you discover.
Predators (alligators):
Pollution:
Food (mosquitoes):
Answer:
Predators (alligators): increased but then sharply decreased
Pollution: stayed the same but then decreased
Food (mosquitoes): decreased but quickly increased
Step-by-step explanation:
i d k what you want me to really do but this is what I think
Find the H.C.F of 32, 48 and 64
Answer:
Step-by-step explanation:
Factor into primes
32: 2*2*2*2*2
48: 2*2*2*2*3
64: 2*2*2*2*2*2
The highest common factor is 2*2*2*2 = 16
The smallest circle in the figure has a radius of 2 inches. Which equation gives the area A of the shaded part of the figure? Recall that A = (pi)r^2
Answer:
60π in²
Step-by-step explanation:
Inner Circle:
r = 2 in
Area of inner circle = πr²
= π* 2 * 2
= 4π in²
Middle circle:
r = 6 + 2 = 8 in
Area of middle circle = π * 8 * 8
= 64π in²
Area of shaded region = area of middle circle -area of inner circle
= 64π - 4π
= 60π in²
Answer:
A = 60pi
Step-by-step explanation:
the radius of the smallest circle is 2 inches so that would give us an area of 4pi. the distance in the shaded part is 6 inches, since we're wanting to find the area of the shaded part, we'll add the radius of the smallest circle, 2 inches, and add it to the length of the shaded circle, 6 inches, to get a radius of 8 inches. plug 8 inches into the formula and youll get 64pi then subtract the 4pi from 64pi and youll get 60pi, which is the area of the shaded part of a circle.
solve this problem I am not able to solve this please help me
Answer:
4/5
Step-by-step explanation:
What a unique handwriting you have there. Anyways for this types of questions you just have to imagine a right-angled triangle and write down the values and an angle (2A).
First, to find height of the triangle, you can try using Pythagorean theorem, √(5²-3²) and you'll get the value 4.
Remember the formula,
sin a = opposite/hypothenuse.
Substitute the values in,
sin 2A = 4/5
what is the vaule of 11a+2(3a+4b)-5b for a=6 and b=-2
Answer:
96
Step-by-step explanation:
a= 6 b = - 2
So just subsitute all the a and b into the number they gave
11(6) + 2(3(6)+4(-2)) - 5(-2)
66+ 2(10) +10
66+20+10
96
Just be careful with your positive and negatives
A triangle has two sides of length 16 and 2. What is the smallest possible whole-number length for the third side?\
In a survey, 250 people were asked if they smoke…..
Answer:
90%
Step-by-step explanation:
22%
Simplify the answer has to be a positive exponent Please help!
5^4 /5
Use the exponent rule x^a/x^b = x^a-b
5^4/5 = 5^4-1 = 5^3
Answer as a positive exponent is 5^3
Pls I need help on this
Answer1:
-1
Step-by-step explanation:
distributed, so it must be the number before parenthesis
-(-3c+5) = -1(-3c+5)
1.How many semi-circles are there in a circle?
2.How many quadrants form a circle?
3.Which line touches a point on the circumference of the circle?
4.The line touching the inside circumference of the circle is called the _______.
5.The part of the circle enclosed by two radii inside the circle is known as the ______.
6.The distance around the circle is the ________.
7.Which is the longest chord in the circle?
8.The _______ is same as the perimeter of a rectangle.
Answer:
1. 2semicircle
2. 4 quadrant
3. tangent
4.chord
5.The region enclosed by two radii and an arc of a circle is called the sector of a circle.
6. The distance around the circle is called circumference.
7.Diameter is the longest chord of the circle..
8.The perimeter of sum of all the side lengths of a shape. is same
What are the names of three collinear points?
A parallelogram is shown with point upper J at its center. Ray upper J upper K is drawn horizontally to the right. Ray upper J upper L is drawn horizontally to the left. Points upper A and upper D are located inside the parallelogram above point J. Point upper B is located inside the parallelogram below point J. (1 point)
Points D, J, and K are collinear.
Points A, J, and B are collinear.
Points D, J, and B are collinear.
Points L, J, and K are collinear.
Answer:
L,J, and K are collinear
Step-by-step explanation:
(2n3 - 3n4 + 7n) - (n3 - 8n4 - 7n)
Answer:
Step-by-step explanation:
(2n³ - 3n⁴ + 7n) - (n³ - 8n⁴ - 7n) = 2n³ - 3n⁴ + 7n - n³ + 8n⁴ + 7n
{Here -1 is distributed }
= 2n³ - n³ - 3n⁴ + 8n⁴ + 7n + 7n
{Combine like terms}
= n³ + 5n⁴ + 14n
Answer:
The answer is: n^3 + 5n^4 + 14n
Step-by-step explanation:
how long train take to cover 162 1/2 km at an avarage speed of 40km/hr
Answer:
4 hours and 3.75 minutes
Step-by-step explanation:
[tex]162\frac{1}{2}\div40\\= 4.0625or4\frac{5}{80} or 4\frac{1}{16}[/tex]
This would be 4 hours and 3.75 minutes
Jace has consumed 1,500 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,900 calories per day. How many calories does he have left to consume for the day? Is 1,100 a viable solution to this problem?
Yes; 1,100 is less than 1,500.
No; 1,100 is more than the 400 he burned off at the gym.
No; 1,100 will cause him to exceed 1,900.
Yes; 1,100 is less than 1,900.
Answer:
Option 3
Step-by-step explanation:
If he burned off 400 calories from 1500 consumed calories, he has 1100 consumed calories. 1900 - 1100 = 800 calories left to consume.
While option 2 also says no, it's not the right reason.
The calories left to consume for the day is 800 calories.
No, 1,100 will cause him to exceed 1,900.
Given,
Jace has consumed 1,500 calories so far today.
He has also burned off 400 calories at the gym.
He would like to keep his daily calorie total to 1,900 calories per day.
We need to find how many calories he has left to consume for the day.
And see which option is the best choice.
We have,
Calories consumed in a day = 1500
Burned calories = 400
Calories to keep in a day = 1900
Find the Calories left
= 1500 - 400
= 1100
Find how many calories need to be consumed to keep 1900 calories.
= Calories needed to keep in a day - calories remaining after burned
= 1900 - 1100
= 800
We see that the calories left to consume is 800 calories.
So 1100 is not a viable solution. It will cause him to exceed 1,900.
Thus,
The calories left to consume for the day is 800 calories.
No, 1,100 will cause him to exceed 1,900.
Learn more about finding the calories needed to consumed to keep daily calories here:
https://brainly.com/question/12862654
#SPJ2
please help easy maths
Answer:
option D
Step-by-step explanation:
y-intercept=-8
point(0,-8)
m=4
Using point slope form:
y-y1=m(x-x1)
y-(-8)=4(x-0)
y+8=4x
y=4x-8
x^2-2x/2x^2+8 - 2x^2/8-4x+2x^2-x^3
Answer:
[tex]-2x^3+\frac{11}{4} x^2 - 4x +8[/tex]
(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))
Answer:
Here is your answer . Hope this helps.
A rectangle has an area of 48cm^2 & a perimeter of 38cm. What are the dimensions of the rectangle?
(If you can answer this, I'll give u Brainliest :])
C............... .......
Answer:
10 is your answer
Step-by-step explanation:
I would love brainliest, thanks!
Madison is starting her own sewing business. Madison thinks she will do a better job than her competitors, so she thinks she can charge $13.63 per hour. If she knows she will only be able to work 50 hours per week, how much money will she earn each week?
Answer:
$681.50
Step-by-step explanation:
$13.63 x 50 = $ 681.50
1. A number is represented by x. How would we represent:
a) 2 more that the number.
b) 5 times the number.
c) 3 less than twice the number.
d) Twice as much as 3 less than the number.
e) A 1/4 of the number.
Step-by-step explanation:
If the number is represented by x, then
x+25x2x-3(x-3)21/4× x=x/4helpppppp me please i need help
Answer:
2nd one?
Step-by-step explanation:
Have a good day
-Bradi