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nydimaria [60]
3 years ago
9

The domain for f(x) and g(x) is the set of all real numbers.

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0

Answer:

D

Step-by-step explanation:

note (f - g)(x) = f(x) - g(x) = 3x + 5 - x²

hence (f - g)(x) = - x² + 3x + 5 ← in standard form → D


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Explain why if a runner completes a 6.2â-mi race in 32 âmin, then he must have been running at exactly 11 âmi/hr at least twice
MA_775_DIABLO [31]

Answer:

Accelerating to top speed, deaccelerating to finish line.

Step-by-step explanation:

If the runner kept a constant speed of 11 mph for the whole duration of his run (32 minutes), the distance he would have covered is:

d=11*\frac{32}{60}\\d= 5.87\ mi

This means that, in order to run the full 6.2 miles, the runner needs to reach a speed over 11 mph. Assume he starts from rest, while accelerating the runner reaches, and the surpasses, the 11 mph mark. Since his speed at the finish line is zero, the runner has to deaccelerate from his current running speed (which should be higher than 11 mph), passing through 11 mph and reaching zero at the finish line.

3 0
3 years ago
True or false? If you took an if-then statement and inserted a "not" into each clause, the new statement would also be true.
love history [14]
Hey it would be true  i had the same question on a test
5 0
3 years ago
The base and height of a triangle are 9 yards and 10 yards respectively. Find the area of the triangle.
Lisa [10]

Answer:

45

Step-by-step explanation:

1/2×9×10

since the formula says half base times height, so therefore

Area =45

6 0
3 years ago
Question 1. Please help, What is the measure of ∠D?
erastova [34]

Step-by-step explanation:

It is 28°

Because both triangles FED and ABC are right (converse of pythagorean theorem)

Also the lengths of the side of the triangle ABC is double the lengths of the side of the other triangle

You calculate the measure of the angle ∠A in triangle ABC which is 28° (by calculation)

This will also be the measure of angle D

I'm not sure if it is right but hopefully it will help you.

8 0
3 years ago
If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
Artyom0805 [142]

Answer:

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3 years ago
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