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4 years ago

Factor 6(2p q)^2 -5(2p q) - 25

1 answer:

3 0

Treat the 2p+q as x

6x2-5x-25
trial and error
(2x-5)(3x+5)
replace x with (2p+q)
(2(2p+q)-5)(3(2p+q)+5)
(4p+2q-5)(6p+3q+5)

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20 POINTS!!!!

koban [17]

Answer:

The correct answer is d. (40, 60)

Step-by-step explanation:

To start using the linear combination method, you need a variable that will cancel out. To get this, we will multiply the second equation by -20 and then add together.

x + y = 100

-1.4x - y = -116

-----------------

-0.4x = -16

x = 40

Now that we have the value of x, we plug into one of the original equations to find y.

x + y = 100

40 + y = 100

y = 60

3 0

3 years ago

In the circle below, O is the center and mĞ= 128° What is the measure of angle HIG?

Paul [167]

Answer:

26 degrees.

Step-by-step explanation:

From the figure it is clear that HI is the diameter and $acr(GI)=128^{\circ}$ . So,

$\angle GOI=128^{\circ}$

$\angle GOI+\angle GOH=180^{\circ}$ (linear pair)

$128^{\circ}+\angle GOH=180^{\circ}$

$\angle GOH=180^{\circ}-128^{\circ}$

$\angle GOH=52^{\circ}$

Using central angle theorem of a circle, we get

$\angle HIG=\dfrac{\angle GOH}{2}$

$\angle HIG=\dfrac{52^{\circ}}{2}$

$\angle HIG=26^{\circ}$

Therefore, the measure of angle HIG is 26 degrees.

7 0

3 years ago

Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old. How much will be in the account when he

weeeeeb [17]

Answer:

$11535.60

Step-by-step explanation:

We have been given that Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old.

To find the amount that Jackson will earn when he is 40 years old, we will use compound interest formula.

$A=P\cdot e^{rT}$

A= Amount after T years.

P= Principal amount.

e= Mathematical constant e.

r= Interest rate (in decimal form).

T= Time in years.

Let us convert our given interest rate into decimal form.

$3.8\text{ percent}=\frac{3.8}{100}=0.038$

Upon substituting our given values in above formula we will get,

$A=5000\cdot e^{(0.038\times (40-18))}$

$A=5000\cdot e^{(0.038\times 22)}$

$A=5000\cdot e^{0.836}$

$A=5000\cdot 2.307120015126555$

$A=11535.600075632775\approx 11535.60$

Therefore, Jackson will have $11535.60 in his account when he is 40 years old.

4 0

3 years ago

4g^3√25g^7x^4 need to simplify please help

vitfil [10]

$4g^3 \sqrt{25} g^7x^4$

$= (4) (5) g^{7+3}x^4$

$= 20g^{10}x^4$

5 0

4 years ago

The basic SI unit for measuring mass is the liter. True False

jeyben [28]

That is false, because you would measure with kilograms.

5 0

4 years ago

Read 2 more answers