Answer:
Ms. Cortez earns 500 dollars for working 30 hours. It's the last choice.
Step-by-step explanation:
You just have to substitute 30 into the equation in place of x, since x represents hours.
f(30) = 50 + 15(30)
f(30) = 50 + 450
f(30 = 500
Answer:

Step-by-step explanation:
If two lines are perpendicular, they create 4 90° angles. Meaning, in this case, that m<DBC = 90 and m<DBA = 90.
We're given that m<DBE = 2x - 1 and that m<CBE = 5x - 42.
The sum of angles DBE and CBE = m<DBC = 90°
We can add the two angles and set it equal to 90 to find x

Answers:
- The direct variation equation is y = 5x
- If x = 4, then y = 20
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Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
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Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
Answer:
The slope is 2. (m=2).
Step-by-step explanation:
y+5=2x+2
y+5-5=2x+2-5
y=2x-3
Equation is y=2x-3.
y=y-intercept
x=slope
Hence, the slope is 2.
Hope this helps and stay safe!
Answer:
In the given diagram the side opposite angle J is LR which is :
<h2>
Option D</h2>