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finlep [7]
1 year ago
10

when solving this, do i take it out of the parenthesis or make it into a square root? because its very confusing.

Mathematics
1 answer:
Licemer1 [7]1 year ago
7 0

Finding the inverse function:

We are given a function y = f(x). To find the inverse function, we exchange x with y in the original function, and then isolate y.

So

We are given the function:

f(x)=(x+7)^5

So

y=(x+7)^5

Changing x with y

x=(y+7_{})^5

Now, we have to isolate y. So

(y+7)^5=x

We can apply the fifth root to both sides. So:

\sqrt[5]{(y+7)^5}=\sqrt[5]{x}y+7=\sqrt[5]{x}f^{-1}(x)=y=\sqrt[5]{x}-7

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6x + 4<br> What tipe of polynomial is this one?
Mkey [24]

Answer:

This is a binomial.

Step-by-step explanation:

Bi means two. Therefore, since this polynomial only has two integers it is a binomial.

5 0
3 years ago
Seven times the difference of x and 4 is -10
4vir4ik [10]

Answer:

In this equation x = 2

Step-by-step explanation:

First, it is easiest to convert these words to numbers. That would make it

4 - <em>x  </em>· 7 = -10

First subtract 4 from both sides.

4 - <em>x</em> · 7 - 4 = - 10 - 4

Then you simplify.

-<em>x ·</em> 7 = -14

Divide both sides by 7.

\frac{-x(7)}{-7} = \frac{-14}{-7}


Then you simplify that fraction to 2 and thats how you get your answer.



7 0
3 years ago
Solve −(3x − 2) = −4(x + 1) − 4.
Stella [2.4K]
-(3x-2)=-4(x+1)-4
-3x+2=-4x-4-4
-3x+4x=-4-4-2
x=-10
3 0
3 years ago
Read 2 more answers
Please Help!!! Braniest will be given
Lady bird [3.3K]

To solve this word problem, we will use the Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

Our side lengths are 10 and 24ft.

So, we can plug them in for a and b.

10^2 + 24^2 = c^2

100 + 576 = 676

Then, we need to find the square root of 676.

sqrt676) = 26

So, the missing length or the hypotenuse is 26 feet.

Therefore, we require 26 feet of string to measure the length of the hypotenuse in which the room is split in half.

4 0
3 years ago
Newberg City Cafe recently introduced a new flavor of coffee. They served 23 grande cups and 51 jumbo cups of the new coffee tod
yuradex [85]

Answer:

Grand coffee cup = 1469 gm

Jumbo coffee cup = 60 gm

Step-by-step explanation:

Let x be the grande coffee cup and y be the jumbo coffee cup.

Solution:

From the first statement. They served 23 grande cups and 51 jumbo cups of the new coffee today, which equal a total of 36,846 grams.

So, the equation is.

23x+51y = 36846 ---------(1)

From the second statement. They served 58 grande cups and 68 jumbo cups of the new coffee tomorrow, which equal a total of 59460 grams.

58x+68y=59460 ----------(2)

Solve the equation 1 for x.

23x = 36846-51y

x=\frac{36846}{23}-\frac{51}{23}y

x=1602-\frac{51}{23}y ---------(3)

Substitute x=1602-\frac{51}{23}y in equation 2.

58(1602-\frac{51}{23}y)+68y=59460

92916-\frac{51\times 58}{23}y+68y=59460

-\frac{2958}{23}y+68y=59460-92916

\frac{-2958+1564}{23}y=-33456  

\frac{-1394}{23}y=-33456

Using cross multiplication.

y=\frac{-23\times 33456}{-1394}

y = 55.99

y ≅ 60 gram

Substitute y = 60 in equation 3.

x=1602-\frac{51}{23}\times 60

x=1602-\frac{3060}{23}

x=1602-133.04

x = 1469 grams

Therefore, grand coffee cup = 1469 gm and jumbo coffee cup = 60 gm

7 0
3 years ago
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