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Nitella [24]
3 years ago
12

what algebraic expression must be added to the sum of 3x squared + 4x + 8 and 2x squared -6x + 3 to give 9x squared -2x - 5 as t

he result?
Mathematics
1 answer:
gregori [183]3 years ago
3 0
<span>3x^2 + 4x + 8 + 2x^2 - 6x + 3 to give result as 9x^2 -2x - 5


</span>3x^2 + 4x + 8 + 2x^2 - 6x + 3 
= 5x^2 - 2x + 11

so

9x^2 -2x - 5 - (5x^2 - 2x + 11)
= 9x^2 -2x - 5 -  5x^2 +  2x - 11
= 4x^2 -16

answer

expression (4x^2 -16) must be added to the sum of (3x^2 + 4x + 8) and (2x^2 - 6x + 3) to give the result as (9x^2 - 2x - 5)
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PLEASE HELP
irina [24]

Using simple interest, it is found that:

  • The amount invested at 7% is $2,000.
  • The amount invested at 8% is $8,000.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The interest after t years in is modeled by:

I(t) = Prt

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

In this problem:

  • A total of $10,000 was invested, hence P_1 + P_2 = 10000.
  • Two accounts paying 7% and 8% annual interest, respectively, hence r_1 = 0.07, r_2 = 0.08.
  • The total interest earned for the year was $780, hence t = 1, I_1 + I_2 = 780

Then:

I_1 = 0.07P_1

I_2 = 0.08P_2

Considering P_1 + P_2 = 10000 \rightarrow P_2 = 10000 - P_1:

I_2 = 0.08(10000 - P_1)

Considering I_1 + I_2 = 780 \rightarrow I_2 = 780 - I_1:

780 - I_1 = 0.08(10000 - P_1)

Considering I_1 = 0.07P_1:

780 - I_1 = 0.08(10000 - P_1)

780 - 0.07P_1 = 0.08(10000 - P_1)

0.01P_1 = 20

P_1 = \frac{20}{0.01}

P_1 = 2000

And:

P_1 + P_2 = 10000

2000 + P_2 = 10000

P_2 = 8000

Then:

  • The amount invested at 7% is $2,000.
  • The amount invested at 8% is $8,000.

You can learn more about simple interest at brainly.com/question/25296782

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2 years ago
Point M lies between points L and N on line LN. If LN = 12x +16, what is the length of line LN in units?
LenKa [72]

Answer:

LN = 64 units

Step-by-step explanation:

I got it correct on the test

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3 years ago
A parking garage ramp rises to connect two
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Angle 1 = 180-10= 170 degrees, and the relationship is called supplementary angles
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4 years ago
Answer==&gt;x+2<br>process?​
coldgirl [10]

Step-by-step explanation:

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3 years ago
Which of the following represents the factored form of f(x) = x3 − 81x?
sladkih [1.3K]
You're original equation has a -81, so the factored form will have to have a positive and negative multiplying one another to achieve that...

f(x) = x(x + 9)(x - 9)
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