1. A.
None of the other answers, looking at the graph, make sense.
2. B.
Used distance formula.
sqrt[(0+8)^2 + (6-0)^2]
sqrt[8^2 + 6^2]
sqrt[64 + 36]
sqrt[100]
10
3. A.
Domain = x
(1,0) , (3,0) , (5,0) , (7,0)
Range = y
(0,2) , (0,4) , (0,6) , (0,2)
{(1,2) , (3,4) , (5,6) , (7,2)}
Answer:
S = x + 10
R = 2x + 10
Step-by-step explanation:
If R is Roberto's age, and S is his sister's age, then:
R = S + x
R − 10 = 2 (S − 10)
Solve with substitution.
S + x − 10 = 2 (S − 10)
S + x − 10 = 2S − 20
S = x + 10
R = 2x + 10
Answer:
slope is -1/4
y intercept is 11/2
Step-by-step explanation:
the slope is (3-5)/(10-2) = -2/8 = -1/4 (using the slope formula)
the y intercept we can set up an equation, y= mx + b
we already know m, which is -1/4 (the slope), and to find b, we could just plug in one of the points to get
5 = (-1/4)*2+b
solve the equation
b = 11/2
Answer:
Step-by-step explanation:
x-4=0
x=4
i solve by synthetic division.
4| 1 -7 14 -8
| 4 -12 8
___________
| 1 -3 2 | 0
![x^3-7x^2+14x-8=(x-4)(x2-3x+2)\\=(x-4)[x^2-x-2x+2]\\=(x-4)[x(x-1)-2(x-1)]\\=(x-4)(x-1)(x-2)](https://tex.z-dn.net/?f=x%5E3-7x%5E2%2B14x-8%3D%28x-4%29%28x2-3x%2B2%29%5C%5C%3D%28x-4%29%5Bx%5E2-x-2x%2B2%5D%5C%5C%3D%28x-4%29%5Bx%28x-1%29-2%28x-1%29%5D%5C%5C%3D%28x-4%29%28x-1%29%28x-2%29)
x-intercepts are (4,0),(1,0),(2,0)
put x=0
y=-8
y -intercept is (0,-8)
So the equation is 32x+0.15y = $250
You know that you’re going to a 5-day trip so you can change x to 5
32(5)+0.15y = $250
You multiply 32 by 5 = 160
$160+0.15y = $250
And to simplify the equation(to make it easier) you subtract 160 on both sides
0.15y = $90
Now you’re trying to find y, so divide 90 by 0.15 to find the maximum of miles you can drive.
y = 600 mi
The maximum amount of miles you can drive is 600
Graph:
I can’t show any pictures sorry
But this is how you do it
Make a number line
Graph 600 with a closed circle, like this: ●
Then make an line going to the left(because you can’t go any more than 600)
Hope this helps! :^)
