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4 years ago

PLEASE HELP! 17 POINTS I think it's D but I'm not sure

Mathematics

1 answer:

miss Akunina [59]4 years ago

4 0

I honestly believe its D but I'm not for sure. Sorry if i didn't help much

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25 is 32% of what number?

faust18 [17]

32% of 25 is 8.

It would be formed some what like this but I'm not really sure

25/32*100

Correct me if I am wrong.

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4 years ago

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Theo gets 2 stars for every 5 correct answers he gives. What is the minimum number of correct answers Theo must give if he wants

LenKa [72]

4 stars bc 2 stars for 5 4 stars for ten 6 for 15

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4 years ago

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Write each expression as a product of linear factors 1. X^2+1/2x 2. X^2+2x-3 3. (2x-3)^2 4. X^3+2x^2-19x-20

Grace [21]

Answer:

1. X^2+1/2x = $x(x+\frac{1}{2})$

2. X^2+2x-3 = $(x-1)(x+3)$

3. (2x-3)^2 = (2x-3)(2x-3)

4. X^3+2x^2-19x-20 = $(x+1)(x-4)(x+5)$

Step-by-step explanation:

Each expression can be written as a product of linear factors as follows

1. X^2+1/2x ⇒ $x^{2} + \frac{1}{2}x$

$x^{2} + \frac{1}{2}x$ = $x(x+\frac{1}{2})$

Hence, X^2+1/2x = $x(x+\frac{1}{2})$

2. X^2+2x-3 ⇒ $x^{2} +2x-3$

$x^{2} +2x-3 = x^{2} +3x-x-3$

$x^{2} +3x-x-3 = x(x+3) -1(x+3)$

$x(x+3) -1(x+3) = (x-1)(x+3)$

Hence, X^2+2x-3 = $(x-1)(x+3)$

3. (2x-3)^2 ⇒ $(2x-3)^{2}$

$(2x-3)^{2} = (2x-3)(2x-3)$

Hence, (2x-3)^2 = (2x-3)(2x-3)

4. X^3+2x^2-19x-20 ⇒ $x^{3}+2x^{2} -19x -20$

$x^{3}+2x^{2} -19x -20 = (x+1)(x^{2} +x-20)$

First,

$x^{2} +x-20 = x^{2} +5x-4x-20\\x^{2} +5x-4x-20= x(x+5)-4(x+5)\\x(x+5)-4(x+5) = (x-4)(x+5)$

∴ $(x+1)(x^{2} +x-20) = (x+1)(x-4)(x+5)$

Hence, X^3+2x^2-19x-20 = $(x+1)(x-4)(x+5)$

3 0

3 years ago

You currently have $8,700 (Present Value) in an account that has an interest rate of 3% per year compounded annually (1 times pe

Irina18 [472]

Approximately, in <u>25 years</u>, your present value of $8,700 investment will reach the future value of $18,270 at 3% per year compounded annually.

<h3>What is the present value?</h3>

The present value is the future value discounted for a period to the current time.

The future value refers to the present value that yields a compounded value in the future.

An investment's period (N) can be computed using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

I/Y (Interest per year) = 3%

PV (Present Value) = $8,700

FV (Future Value) = $18,269.79

PMT (Periodic Payment) = $0

Results:

N (# of periods) = 25.1

Total Interest = $9,569.79

Thus, in 25 years, the future value of $18,270 will be ready to be withdrawn.

Learn more about the present and future values at brainly.com/question/24703884

#SPJ1

7 0

2 years ago

Determine weather the statement is true or false. Justify your answer

topjm [15]

$\begin{gathered} \cos (-\frac{7\pi}{2})=\cos (\pi+\frac{\pi}{2}) \\ \cos (-\frac{7\pi}{2})=\cos (\frac{3\pi}{2}) \end{gathered}$

As we know:

$\begin{gathered} \cos (x)=0 \\ for \\ x=\pi n-\frac{\pi}{2} \\ n\in Z \end{gathered}$

For:

$\begin{gathered} n=2 \\ x=2\pi-\frac{\pi}{2}=\frac{3\pi}{2} \\ for \\ n=-3 \\ x=-3\pi-\frac{\pi}{2}=-\frac{7\pi}{2} \end{gathered}$

Therefore:

$\begin{gathered} \cos (-\frac{7\pi}{2})=0 \\ and \\ \cos (\frac{3\pi}{2})=0 \\ so\colon \\ 0=0 \\ This_{\text{ }}is_{\text{ }}true \end{gathered}$

Therefore, the statement is true

7 0

1 year ago