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3 years ago

For this question, use the following functions.

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

5 0

Answer:

4x + 18

Step-by-step explanation:

This is called a composite function, meaning passing the range of one function as a domain of another function.

For f(f(x)), the inner-function's range is passed as the domain of the outer function.

We can do so by substitution,

The range of f(x) can be written as 2x + 6 for any defined x values,

So we will substitute 2x + 6 as the 'x' of another function which is in this case

f(x) again, so it looks like this 2(2x+6) + 6 which can be simplified into

4x + 18

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Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?. .

Andru [333]

Let

n-------> the number of nickels

q------> the number of quarters

we know that

$1\ quarter=\$0.25\\1\ nickel=\$0.05$

$0.05n+0.25q=1.60$ ----> equation A

$q=3n$ ----> equation B

substitute equation B in equation A

$0.05n+0.25[3n]=1.60$

$0.05n+0.75n=1.60$

$0.80n=1.60$

$n=2$

Find the value of q

$q=3*2=6$

therefore

The answer part a) is

the number of nickels are $2$ and the number of quarters are $6$

the answer Part b) is

The expressions that represents the number of quarters is

$q=3n$

5 0

2 years ago

Read 2 more answers

Complete the following statements.

Ray Of Light [21]

1.
11 16
— X — = 44
4 1

Answer to number 1. —- 44 cups.

2.
880 yards is half of 1,760. So, if 1,760 yards is 1 mile then 880 yards (1/2) is .5 mile.

Answer to number 2. —- 0.5 mile.

3.
36 7
— X — =84
1 3

Answer to number 3. —- 84 inches.

ANSWER:
1. 44 cups
2. 0.5 mile
3.84 inches

Hope this helped you understand you how to do this. Have a great day. A thank you and (or) brainliest is always appreciated. (Optional....) Goodbye!

8 0

2 years ago

Prove that (Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A

iVinArrow [24]

Answer:

The answer is below

Step-by-step explanation:

We need to prove that:

(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.

Firstly, 1 / cos A = sec A, 1 / sin A = cosec A and tanA = sinA / cosA.

Also, 1 + tan²A = sec²A; sec²A - 1 = tan²A

$\frac{\sqrt{secA-1} }{\sqrt{secA+1} } +\frac{\sqrt{secA+1} }{\sqrt{secA-1} } =\frac{(\sqrt{secA-1)}(\sqrt{secA-1})+(\sqrt{secA+1)}(\sqrt{secA+1}) }{(\sqrt{secA+1})(\sqrt{secA-1}) } \\\\=\frac{secA-1+(secA+1)}{\sqrt{sec^2A-secA+secA-1} } \\\\=\frac{2secA}{\sqrt{sec^2A-1} } \\\\=\frac{2secA}{\sqrt{tan^2A} } \\\\=\frac{2secA}{tanA} \\\\=\frac{2*\frac{1}{cosA} }{\frac{sinA}{cosA} }\\\\= 2*\frac{1}{cosA}*\frac{cosA}{sinA}\\\\=2*\frac{1}{sinAA}\\\\=2cosecA$

7 0

2 years ago

Write formula for arithmetic sequence when first term is not given

SashulF [63]

An = am + (n – 1)d.
i feel like this can work

8 0

2 years ago

PLS ANWSER ASAP IN TI ED!!

NikAS [45]

Answer:

Option (2)

Step-by-step explanation:

x = 1 is represented by a solid point on a number line.

x > 1 is represented by an arrow starting from x = 1 towards infinity

If we mix both the properties, x ≥ will be represented by an arrow starting from a solid point at x = 1 and moving towards the values greater than one.

From the options given,

Arrow mentioned in Option (2) will be the correct representation of the inequality.

7 0

2 years ago