Standard form: -3x +5y= -1
Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
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= -3 + 1.5 + 6
= 4.5
Two possible solutions are: (4.5, 8.5) and (8, 6.3)
<h3>How to graph the inequality?</h3>
Let x represents hours dog walking and y represents hours washing cars.
So, we have:
Earnings = Rate of dog walk * x + Rate of car wash * y
This gives
Earnings = 7x + 11y
He wants to earn at least $125.
This means that:
7x + 11y ≥ 125
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)
Read more about inequalities at:
brainly.com/question/25275758
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I’m pretty sure it would be 1/5, because scaling is changing the y values of the function. If the y value of the original is 10, you need to multiply/scale the new one by 1/5 to get the y value of 2
We know, Area = Length * Width
So, with area 42, dimensions could be: 1 * 42
2 * 21
3 * 14
6 * 7
Just draw the lines with that measures, two pair of two equal opposite lines.
Hope this helps!