Answer:
find the value of x that makes the denominator zero: x = 7
Step-by-step explanation:
A vertical asymptote shows up where the denominator is zero. As the denominator gets closer to zero, the function value gets larger without bound (unless there is a numerator factor that cancels the one in the denominator).
To find the value of x at the vertical asymptote, solve the equation ...
denominator = 0
x - 7 = 0
x = 7 . . . . . . . add 7 to both sides
Answer:
Where is the options
Step-by-step explanation:
Answer:
8 units
Step-by-step explanation:
<u>Area of a rectangle</u> = <em>Width</em> multiplied by Length
Substitute in all the known numbers into this formula to get
<u>72</u> = <em>(9)</em> ×
Solve the equation for x, to find out the length
![9(2x+4)=72](https://tex.z-dn.net/?f=9%282x%2B4%29%3D72)
![2x+4=72/9](https://tex.z-dn.net/?f=2x%2B4%3D72%2F9)
![2x+4=8](https://tex.z-dn.net/?f=2x%2B4%3D8)
![2x=8-4](https://tex.z-dn.net/?f=2x%3D8-4)
![2x=4](https://tex.z-dn.net/?f=2x%3D4)
![x=4/2](https://tex.z-dn.net/?f=x%3D4%2F2)
![x=2](https://tex.z-dn.net/?f=x%3D2)
Length of the rectangle = ![(2x+4)](https://tex.z-dn.net/?f=%282x%2B4%29)
![2(2)+4](https://tex.z-dn.net/?f=2%282%29%2B4)
![4+4=8](https://tex.z-dn.net/?f=4%2B4%3D8)
Answer:
Step-by-step explanation:
15lawns/9hours= 1.6 lawns mowed per hour
1.6lph*27hours=43.2 lawns
Answer:
Each shirt cost $12
Step-by-step explanation:
First, we have to interpret this question and turn each to an equation, letting shirts represent the letter s and ties represent the letter t.
6 shirts and 3 ties cost $79.50 would be interpreted to 6s+3t=79.5 ,and 3 shirts and 2 ties cost $41 would be interpreted to 3s+2t=41
Hence we have two equations, and we solve them simultaneously.
6s+3t=79.5 (Equation 1)
3s+2t=41 (Equation 2)
We can either use the substitution method or the elimination method but for the sake of this question, we use the Elimination method.
6s+3t=79.5 (Equation 1)
3s+2t=41 (Equation 2)
We multiply equation 1 by 2 and we multiply equation 2 by 3, I'm prefer to eliminate the
2(6s+3t=79.5)
12s+6t=159 Equation 3
3(3s+2t=41)
9s+6t=123 Equation 4
We subtract equation 4 from equation 3.
12s+6t=159
9s+6t=123
12s-9s=3s
6t-6t=0
159-123=36
We therefore have
3s=36
Divide both sides by 3
s=36/3
s=12
One shirt cost $12