100.20 < 7.40t + 41
The chemistry club can spend exactly $100.20 for 8 hours, but cannot exceed 8 hours to keep the maxed limit. So 8 hours or less
Answer:
Answer: Option D.
Step-by-step explanation:
Hey there!!
Here, To find the equation of a st.line passing through point (3,1) is :
![(y - 1) = m1(x - 3)](https://tex.z-dn.net/?f=%28y%20-%201%29%20%3D%20m1%28x%20-%203%29)
It is the first equation.
Given, Another equation is:
![y = \frac{2}{3} x + 1](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20x%20%2B%201)
It is 2nd equation.
Comparing the 2nd equation with y = mx+c we get,
Slope (m2) = 2/3.
As per the condition of parallel lines,
m1 = m2 = 2/3.
Putting, the value of m1 in equation 1st we get,
![(y - 1) = \frac{2}{3} (x - 3)](https://tex.z-dn.net/?f=%28y%20-%201%29%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20%28x%20-%203%29)
or, 3 (y-1) = 2(x-3)
or, 3y - 3 = 2x - 6
![y = \frac{2x - 6 + 3}{3}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B2x%20-%206%20%2B%203%7D%7B3%7D%20)
![y = \frac{2}{3} x - 1](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20x%20-%201)
Diving-3/3 = -1.
Therefore, y = 2/3 x - 1 is the required equation.
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em><em><u>.</u></em>
Answer:The expression is 6y - 4x
Step-by-step explanation:
The temperature drops 2 degrees in x hours, we could write it as
(-2)x
Because it drops for 10 hours, change the x into 10
(-2)(10)
= -2 × 10
The answer is option a