Answer:
![(-7,4]\text{ or }\{x|-7](https://tex.z-dn.net/?f=%28-7%2C4%5D%5Ctext%7B%20or%20%7D%5C%7Bx%7C-7%3Cx%5Cleq%204%5C%7D)
Step-by-step explanation:
The domain is the span of x-values covered by the function.
From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.
However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.
Therefore, the domain is, in interval notation:
![(-7,4]](https://tex.z-dn.net/?f=%28-7%2C4%5D)
We use parentheses on the left because we do not include -7. And we use brackets on the right because we <em>do </em>include the 4.
And in set notation, this is:
Answer:
No
Step-by-step explanation:
Do they have common factors?
No which is why they are not able to be simplified further
so no
Since this is a 45-45-90 right triangle, the hypotenuse = sqrt2 * leg
24 is the hypotenuse so we need to find the leg.
24 = sqrt2 * leg
Divide both sides by sqrt2
leg = 16.97
A = (1/2)b*h
A = (1/2)*16.97*16.97
A = 144ft^2
<h3>I'll teach you how to solve 8x² = 15 - 14x</h3>
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8x² = 15 - 14x
Add 14x to both sides:
8x^2 +14x =15-14x+14x
Simplify:
8x^2 +14x =15
Subtract 15 from both sides:
8x^2+14x-15 = 15-15
SImplify:
8x^2+14x-15 = 0
Solve with the quadratic formula:
x= 
= 3/4
x= = -5/2
The solutions to the quadratic formula are:
x= 3/4, x=-5/2
Your Answer Is x= 3/4, x=-5/2
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