Answer:
C
Step-by-step explanation:
x + 6 not hard
Answer:
b. 4:35 p.m
Step-by-step explanation:
Her speed in t minutes after 4:30 p.m. is modeled by the following equation:
![v(t) = v(0) + at](https://tex.z-dn.net/?f=v%28t%29%20%3D%20v%280%29%20%2B%20at)
In which v(0) is her speed at 4:30 pm and a is the acceleration.
At 4:30 p.m. she looks down at her speedometer and notices that she is going 45 mph.
This means that ![v(0) = 45](https://tex.z-dn.net/?f=v%280%29%20%3D%2045)
Ten minutes later she looks down at the speedometer again and notices that she is going 55 mph.
This means that ![v(10) = 55](https://tex.z-dn.net/?f=v%2810%29%20%3D%2055)
So
![v(t) = v(0) + at](https://tex.z-dn.net/?f=v%28t%29%20%3D%20v%280%29%20%2B%20at)
![55 = 45 + 10a](https://tex.z-dn.net/?f=55%20%3D%2045%20%2B%2010a)
![10a = 10](https://tex.z-dn.net/?f=10a%20%3D%2010)
![a = 1](https://tex.z-dn.net/?f=a%20%3D%201)
So
![v(t) = 45 + t](https://tex.z-dn.net/?f=v%28t%29%20%3D%2045%20%2B%20t)
When was she moving exactly 50 mph?
This is t minutes after 4:30 p.m.
t is found when v(t) = 50. So
![v(t) = 45 + t](https://tex.z-dn.net/?f=v%28t%29%20%3D%2045%20%2B%20t)
![50 = 45 + t](https://tex.z-dn.net/?f=50%20%3D%2045%20%2B%20t)
![t = 5](https://tex.z-dn.net/?f=t%20%3D%205)
5 minutes after 4:30 p.m. is 4:35 p.m.
So the correct answer is:
b. 4:35 p.m
Answer:
k + 8 = y
17 < 9(x)
4(x²-8)
Step-by-step explanation:
i hope it helps
Answer:
Slope of AB = 3
line p: y = 3x - 10
see attached for graph
Step-by-step explanation:
Given vertices:
- A = (1, 1)
- B = (2, 4)
- C = (4, 2)
<u>Slope of AB</u>
![\textsf{let}\:(x_1,y_1)=(1,1)](https://tex.z-dn.net/?f=%5Ctextsf%7Blet%7D%5C%3A%28x_1%2Cy_1%29%3D%281%2C1%29)
![\textsf{let}\:(x_2,y_2)=(2,4)](https://tex.z-dn.net/?f=%5Ctextsf%7Blet%7D%5C%3A%28x_2%2Cy_2%29%3D%282%2C4%29)
![\implies \textsf{slope of AB}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-1}{2-1}=3](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%7Bslope%20of%20AB%7D%5C%3A%28m%29%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cdfrac%7B4-1%7D%7B2-1%7D%3D3)
<u>Equation of line p</u>
Use point C (4, 2) and the slope of AB in the point-slope form of a linear equation, then simplify to slope-intercept form:
![\begin{aligned}y-y_1 &=m(x-x_1)\\\implies y-2 &=3(x-4)\\y &=3x-10\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dy-y_1%20%26%3Dm%28x-x_1%29%5C%5C%5Cimplies%20y-2%20%26%3D3%28x-4%29%5C%5Cy%20%26%3D3x-10%5C%5C%5Cend%7Baligned%7D)
It’s A because the y column contains a different set of numbers.