Answer:
5n+8
Step-by-step explanation:
We are swamped with questions today so i will not be able to provide you with work. But I'm a college professor. Trust my answer.
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Answer:
f(x) = 15
Step-by-step explanation:
"If f(x)= 5x + 40, what is f(x) when x = -5?"
Substitute x for -5:
f(x) = 5x + 40
f(x) = 5(-5) + 40
f(x) = -25 + 40
f(x) = 15
Answer:
Undefined
Explanation:
When a line is vertical like that, the slope is undefined. If it was horizontal, then it would be zero. Positive slopes go in an upward right direction. Negative slopes go in a downward left direction.
Answer:
32°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the trig function relating angles to the opposite and adjacent sides of the triangle is ...
Tan = Opposite/Adjacent
The side opposite the angle x is shown as having measure 5; the side adjacent has measure 8. Putting all this in the above equation gives ...
tan(x) = 5/8
To find the angle from the value of the tangent, you use the inverse of the tangent function. The name of that is the <em>arctangent</em> function. It is often written as tan⁻¹(x) and often accessible on your calculator using a "second function" key. Some calculators, like the one shown in the attachment, recognize the arctan function name.
x = arctan(5/8) ≈ 32°
The value of x rounded to the nearest whole degree is 32°.