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ad-work [718]
3 years ago
7

ANS ASAP... will mark him/her as BRAINLIEST The 1rst one!!

Mathematics
1 answer:
prisoha [69]3 years ago
6 0

7x - 14 = 4x + 19

7x - 4x = 14 + 19

3x = 33

x = 11

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Consider the function f(x)= 2/5x-4
Gre4nikov [31]

Answer: a) \frac{5}{2}x+10=f^{-1}(x)=g(x)

Step-by-step explanation:

Since we have given that

f(x)=\frac{2}{5}x-4

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

y=\frac{2}{5}x-4

Switching x to y , we get

x=\frac{2}{5}y-4

5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)

b) . Use composition to show that f(x) and g(x) are inverses of each other.

\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

Similarly,

\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


5 0
3 years ago
What is the value of C? <br><br> 55<br> 70<br> 95<br> 110
Lana71 [14]

Answer:

c°=70°

Step-by-step explanation:

taking that it would be an alternate interior totaling 180°

take the difference: 180°-110°=70°

4 0
3 years ago
Write an inequality to model the situation: The number n of people who applied for the job was at least 6.
JulsSmile [24]

Answer:

d

Step-by-step explanation:

6 0
2 years ago
If X is a random variable denoting number of defective items, which discrete probability distribution is appropriate
Lesechka [4]

Considering that for each item, there are only two possible outcomes, and the probability of an item being defective is independent of any other item, the binomial distribution is appropriate.

<h3>What is the binomial probability distribution?</h3>

It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0
1 year ago
I need help on math please
Afina-wow [57]
3.
a. y=28.4x
b. 4,260 grams in 150 ounces

4. 2b - 11
8 0
2 years ago
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