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4 years ago

Help please if you can? If f(x) = -2x - 5 and g(x) = x^4 what is (gºf)(-4)

Mathematics

1 answer:

Cerrena [4.2K]4 years ago

3 0

Answer:

Step-by-step explanation:

g(x) = x^4 put f(x) in for x in g(x)

g(f(x)) = (f(x))^4 Substitute the value for f(x) which is (-2x - 5) put - 4 in for the x in f(x)

g(f(x) = (-2x - 5)^4

g(f(x)) = (- 2*(- 4) - 5)^4 Combine

g(f(x)) = (8 - 5)^4 Subtract

g(-4) = (3)^4 Raise 3 to the 4th power

g(-4) = 81 Answer.

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almond37 [142]

Radio Barn : 200 + .15 x x = the weekly sales

Woofer: 300 + .10x

set them equal to find when they are them same

200 + .15x = 300 + .10x

subtract .10x from both sides

200 +.15x -.10x = 300 + .10x-.10x

200 +.05x = 300

subtract 200 from each side

200+.05x -200 = 300-200

.05x = 100

divide each side by .05

.05x/.05 = 100/.05

x =2000

The 2 jobs pay the same when the weekly sales are 2000 dollars

2. {x - 5 = -y}

{2y - 10 = -2x}

x-5 = -y

add 5 to each side

x = -y+5

multiply each side by -2

-2x = 2y -10

the 2 equations are the same, it has an infinite number of solutions

The system is dependent since the 2 equations are the same line

3. {2x = y - 7}

{4x - 2y - 14 = 0}

2x = y-7

subtract y-7 from each side

2x - (y-7) = 0

2x -y+7 =0

multiply by 2

4x -2y +14 =0

subtract the two equations

4x -2y +14 =0

4x - 2y - 14 = 0

---------------------------

28 = 0

since this cannot happen the lines will never cross ( parallel lines)

the system is inconsistent

5 0

3 years ago

A right triangle as shown below

anastassius [24]

Answer:

sin a = 7/25

cos a = 24/25

tan a = 7/24

Step-by-step explanation:

Trig. How wonderful. I get tripped up on these types of problems some times, so I decided to try to help! To start, write out the three ratios.

SOH (sine=opposite/hypotenuse) CAH (cosine=adjacent/hypotenuse) TOA (tangent=opposite/adjacent)

Then, label the triangle with “hypotenuse” “adjacent” and “opposite.” This helps us correctly use and find the raitos. Then, use these ratios to find out the ratios of A!

sin a = 7/25

cos a = 24/25

tan a = 7/24

If needed, just divide the ratios to get their decimal form!

6 0

3 years ago

CHANCE TO WIN BRAINLIEST! How much time does the average person spend on their phone (hours)?

soldi70 [24.7K]

8 hours and 41 mins per day!
(About 9 hours)
Hoped I helped!

4 0

4 years ago

Help Please! I dont get it

KIM [24]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The formula to calculate the circumference is $\pi d$

d is the diameter (double the radius)

Substitute the values in:

Circumference = (3.14)(3 x 2)

Circumference = 18.84

It would be option D. 18.84 m

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0

3 years ago

Read 2 more answers

How do you simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%2B%5Csqrt%7B6%7D%20%7D%7B%5Csqrt%7B8%7D%20%2B%

blondinia [14]

The trick is to exploit the difference of squares formula,

$a^2-b^2=(a-b)(a+b)$

Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:

$(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2$

Whatever you do to the denominator, you have to do to the numerator too. So

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2$

Expand the numerator:

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}$

So we have

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2$

But √12 = √(3•4) = 2√3, so

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}$

7 0

3 years ago