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kati45 [8]
3 years ago
8

Can someone pls help me . Thank you .

Mathematics
1 answer:
Pavel [41]3 years ago
5 0
Answer:
1). 24
2). 8

Explanation:
1).

285$ - 45$ = 240$
240$/10 = 24$

Therefore, he pays 24$ a month.

2).
Let x be the number than triple:

3x - 5 = 19
3x = 19 + 5
3x = 24
x = 24/3
x = 8
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4 years ago
Find the inverse of the following function. Then prove they are inverses of one another.
solmaris [256]

Answer: \dfrac{x^2+1}{2}

Step-by-step explanation:

Given

f(x)=\sqrt{2x-1}

We can write it as

\Rightarrow y=\sqrt{2x-1}

Express x in terms of y

\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}

Replace y be x to get the inverse

\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}

To prove, it is inverse of f(x). f(f^{-1}(x))=x

\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x

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8 0
3 years ago
What is the simple interest earned on $3,672 at 4.5% for three years?
olasank [31]

Answer: interest at the end of 3 years is $495.72

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

T = 3 years

P = $3,672

R = 4.5%

Therefore

I = (3672 × 4.5 × 3)/100

I = 49572/100

I = 495.72

6 0
3 years ago
Read 2 more answers
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