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3 years ago

Please help! It's due soon.

Mathematics

1 answer:

Sedbober [7]3 years ago

6 0

Answer:

Because f(g(x)) = g(f(x)) = x, f and g are inverse functions.

Step-by-step explanation:

f(g(x)) = f( $\frac{1}{4}\sqrt{x}$ ) = $16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x$

g(f(x)) = g $(16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x$

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Simplify the expression -3 ÷ (-2/5

Harlamova29_29 [7]

Answer:

7.5

Step-by-step explanation:

To solve this expression, we can use PEMDAS or order of operations.

Parenthesis

Exponents

Multiplication>Division (Depends on which comes first from left to right)

Addition>Subtraction (See Multiplication>Division)

So First, lets solve the Parenthesis. -2/5=-.4

So now, our equation is -3/-.4

There is no exponents or multiplication, so lets just Divide.

-3/-.4=7.5

The solution is 7.5

Hope this helps!

6 0

3 years ago

The are of a rectangular community the graden is 300 square feet. The length of a rectangular graden is three times its width. F

Keith_Richards [23]

Answer:

length: 30 ft
width: 10 ft

Step-by-step explanation:

The description of the garden fits that of 3 squares arranged side-by-side. The area of each of those would be 100 ft², so their side length would be ...

s = √A= √(100 ft²) = 10 ft

This dimension is the width of the garden, whose length is 3 times this amount.

The length and width of the garden are 30 ft and 10 ft, respectively.

3 0

3 years ago

Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile

Llana [10]

Answer: 37

Step-by-step explanation:

Given : Significance level : $\alpha:1-0.98=0.02$

Critical value : $z_{\alpha/2}=z_{0.01}=2.33$

margin of error : E= 1 mile per gallon

Population standard deviation: $\sigma=2.6$ miles per gallon.

We know that when the population standard deviation is known then the formula to find the sample size is given by :

$n=(\dfrac{z_{\alpha/2}\times \sigma}{E})^2$

$n=(\dfrac{(2.33)\times 2.6}{1})^2=36.699364\approx37$ [Round to the next whole number.]

Hence, the required number of automobiles should be used in the test = 37

7 0

3 years ago

Pleaseeeee please help me out.......

SIZIF [17.4K]

The answer is C hope this helps

4 0

3 years ago

Read 2 more answers

Find the area of the shaded region

xxTIMURxx [149]

Answer:

25.12

Step-by-step explanation:

8π = P

3 0

3 years ago