$8-\frac{4}{5}f>-14-2f\ \ \ \ \ |\cdot5\\\\40-4f>-70-10f\\\\-4f+10f>-70-40\\\\6f>-110\ \ \ \ \ |:6\\\\f>-\frac{110}{6}\\\\f>-\frac{55}{3}\\\\f\in(-\frac{55}{3},\infty)$

5 0

2 years ago

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This table shows a value that represents an exponential function what is the average rate of change for this function for the in

aliya0001 [1]

Answer:

Option A is correct, i.e. 12.

Step-by-step explanation:

Given is the table of x&y relationship which represents an exponential function.

The average rate of change for a function can be found using the following formula:-

F_average = { f(b) - f(a) } / (b-a)

Given a = 3 and b = 5.

From the table, f(3) = 8 and f(5) = 32.

So, F_average = (32-8)/(5-3)

F_average = 24/2 = 12.

Hence, option A is correct, i.e. 12.

4 0

2 years ago

What is the value of x, when x2 + 5 = 21? A) 2 or -2 B) 4 or -4 C) 5.5 or -5.5 D) 8 or -8

lord [1]

X would be equal to 8.

4 0

2 years ago

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What is the radian measure for an angle that measures 720 degrees?

Scrat [10]

Answer:

720 degrees = $\frac{\pi}{4}\ radians$ or 0.785 radians.

Step-by-step explanation:

Given:

The angle in degrees in given as 720°

We need to convert this to radians.

Now, we know that, the relation between degrees and radians is given as:

180 degree = π radians

Therefore, using unitary method, the value of 1 degree can be calculated.

∴ 1 degree = $\frac{\pi}{180}\ radians$

Now, the value of 720 degrees can be calculated by multiplying the unit value and 720. So,

$720\ degrees=\frac{\pi}{180}\times 720\ radians\\\\ 720\ degrees =\frac{720\pi}{180}\\\\720\ degrees =\frac{\pi}{4}\ radians=0.785\ radians$

Hence, the measure of 720 degrees in radians is $\frac{\pi}{4}\ radians$ or 0.25π radians or 0.785 radians.

6 0

3 years ago

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