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Keith_Richards [23]
3 years ago
13

Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25

Mathematics
2 answers:
Naily [24]3 years ago
7 0

Answer:

The required expression is 4x^2-25

Step-by-step explanation:

The difference of squares formula is given by

(a+b)(a-b)=a^2-b^2

We have been given that one factor is 2x+5. Hence, a = 2x, b = 5

It means that other factor must be (a-b) = (2x-5)

Hence, in order to find the expression, we can multiply the factors.

(2x+5)(2x-5)

Using the difference of squares formula

(2x+5)(2x-5)\\\\=(2x)^2-5^2\\\\4x^2-25

Therefore, the required expression is 4x^2-25

aleksley [76]3 years ago
5 0
I hope this helps you

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Answer:

(x,-\frac{3}{2} x+2)

Step-by-step explanation:

For y= \frac{-3}{2} x+2  the set of points that include all solutions are (x,y) such that   y= \frac{-3}{2} x+2; then we have (x,y)=(x,\frac{-3}{2} x+2).

What is important to stress here is that (x,-\frac{3}{2} x+2) represents all of the solutions, while other points that we are given represent one solution  (for example, point (2,-1) is just one solution)

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Derrick will need $39,500 in 10 years for college tuition. How much should his parents invest now at 9.5% annual interest, compo
erastova [34]

Answer:

His parents should invest $15,278.16 to reach this goal ⇒ 4th answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Derrick will need $39,500 in 10 years for college tuition

∴ The future amount is $39,500

∴ The time for investment is 10 years

- P is the money his parents invest now at 9.5% annual interest,

 compounded daily

∴ The rate is 9.5% per year compounded daily

- The formula of the compounded interest is:

  A=P(1+\frac{r}{n})^{nt} , where

# A is the future value of money

# P is the value of investment

# r is the rate of interest in decimal

# t is the time of investment

# n is the period of the time

∵ A = $39,500

∵ t = 10

∵ r = 9.5/100 = 0.095

∵ n = 365 ⇒ compounded daily

- Lets use the formula above to find P

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∴ 39500=p(2.58539)

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∴ P = $15278.16

∴ His parents should invest $15,278.16 to reach this goal

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