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2 years ago

For each function, what is the output of the given input? for f(x) = 4x 7, find f(4)

Mathematics

1 answer:

shusha [124]2 years ago

6 0

I hope this helps you

x =4

f (4)= 4.4+7 = 16+7=23

f (4)= 4.4-7=16-7=9

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Evaluate the following expression when x = 31 and y = 28. 3(x-7)3 + 128 - 35

ki77a [65]

I hope this is correct

4 0

3 years ago

Given that f(x) = 19x2 + 152, solve the equation f(x) = 0

telo118 [61]

Option A

The solution is:

$x = \pm 2i \sqrt{2}$

Solution:

$f(x) = 19x^2+152$

We have to solve the equation f(x) = 0

Let f(x) = 0

$0=19x^2+152$

Solve the above equation

$19x^2 + 152 = 0$

$\mathrm{Subtract\:}152\mathrm{\:from\:both\:sides}\\\\19x^2+152-152=0-152\\\\Simplify\ the\ above\ equation\\\\19x^2 = -152\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19x^2}{19} = \frac{-152}{19}\\\\x^2 = -8$

Take square root on both sides

$x = \pm \sqrt{-8}\\\\x = \pm \sqrt{-1}\sqrt{8}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\x = \pm i\sqrt{8}\\\\x = \pm i \sqrt{2 \times 2 \times 2}\\\\x = \pm 2i\sqrt{2}$

Thus the solution is found

5 0

2 years ago

For A brainlist ** explain

IrinaVladis [17]

Answer:

So interval notation is with ( and [ where ( is exclusive and [ is inclusive.

Like (1,2) is between 1 and 2 exclusive. [1,2] is between 1 and 2 inclusive. (1,2] is between 1 and 2, 1 exclusive 2 inclusive.

at the point (6,0) you see that the graph goes from above 0 to below 0 (from positive to negative)

The values are positive when x is less than 6 and negative when x is greater than 6.

so the positive interval is

(-infinity, 6)

and with inifinity you always use exclusive

It's that because everything from all the way to the left (-infinity) to 6, is above the x-axis, which means it's positive

using this logic can you do the negative interval?

5 0

2 years ago

Cheryl has 56$ and wants to buy as many notebooks as she can to donate to her school. If each notebook cost $1.60, which inequal

Len [333]

1.60n<56
it should be greater than or equal to because if n is the amount of notebooks she can buy than n times 1.60 needs to be less or equal to $56

3 0

2 years ago

What is the range of the function y=1+2 sin (x-pi)

Step2247 [10]

The sine has a range -1 to +1 so y goes from 1+2(-1) to 1+2(1) = -1 to 3

Range: -1 ≤ y ≤ 3

3 0

2 years ago