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Alborosie
3 years ago
12

HELP ME!! plz? Combing like terms.

Mathematics
1 answer:
Bad White [126]3 years ago
5 0

T: 8x+19

7x-2(4-2x)+6(5-x)-x+2-(6x+5) = 7x-8+2x+30+6x-x+2-6x-5 = 8x+19

Y: 56-8x

9-(-2-3x)+4(-x+6)-x+12-3(2x-3) = 9+2+3x-4x+24-x+12-6x+9 = 56-8x

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The square root of Pi is approximately 1.77245.

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3 years ago
Describe the solution(s) to 9x² - 36x + 36 = 0 by just determining the radicand. Show your work. (10 points) Part B: Describe th
Mariana [72]

The solution to the equations are:

  • 9x² - 36x + 36 = 0 has two equal real solutions
  • x² - x + 4 = 0 has no real solutions
  • The factored expression of 4x² + 23 – 35 is 4(x² -3)

<h3>Part A: Describe the solution</h3>

The equation is given as:

9x\² - 36x + 36 = 0

The above equation is a quadratic equation which can be represented as:

ax\² + bx + c = 0

The discriminant (d) is calculated as:

d = b\² - 4ac

So, we have:

d = (-36)\² - 4 * 9 * 36

d = 0

A discriminant of 0 means that the equation has two equal real solutions

Hence, 9x² - 36x + 36 = 0 has two equal real solutions

<h3>Part B: Describe the solution</h3>

The equation is given as:

x\² - x + 4 = 0

The above equation can be represented as:

ax\² + bx + c = 0

The discriminant (d) is calculated as:

d = b\² - 4ac

So, we have:

d = (-1)\² - 4 * 1 * 4

d = -15

A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

<h3>Part C: The solution to the expression</h3>

We have:

4x\² + 23 - 35

Evaluate the difference

4x\² -12

Factor out 4

4(x\² -3)

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

Read more about quadratic expressions at:

brainly.com/question/10449635

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5 0
1 year ago
1. Determine a rule that could be used to explain how the volume of a
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Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

                                  V_c = \pi *r^2*h

- Similarly, the volume of cone ( V_c ) is represented by:

                                  V_c = \frac{1}{3}*\pi *r^2 * h

Where,

               r : The radius of cylinder / radius of circular base of the cone

               h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

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Where,

            C: The constant of proportionality

- Hence the proportional relation is expressed as:

                                 V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

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- Hence, the relations for each of the two bodies becomes:

                              V = (\frac{1}{3} \pi *r^2*h)*a^2

                                          &

                              V = ( \pi *r^2*h)*a^2

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