Mathematics, 02.11.2019 23:31 lee1817

Can anyone me do the questions that are circled with red and you don't need to do the graphing calculator thing,

Can anyone me do the questions that are circled with red and you don't need to do the graphing calc

Answers: 1

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Answer from: PaulJames

There are six problems circled in red.

As requested, only the analytical solutions are shown.

Question 16. Factor the polynomial

(h + 4) (h + 11)

Question 17. Factor the polynomial

(x - 2) (x -20)

Question 18. Factor the polynomial

(x - 12) (x + 2)

Question 19. Factor the polynomial

(m - 7) (m + 6)

Question 20. Solve the equation

x = 4 and x = 3

Question 22. Solve the equation

x = 9 and x = - 3.

Explanation:

Question 16. Factor the polynomial

44+15h+h^2

1. Rearrange the terms:

2. Open two parenthesis and place the common variable, h, as the first term of each.

You are going to determine the values of a and b.

3. The values of a and b must satisfy that their product is 44 and their sum is 15.

a + b = 15 and a × b = 44 11 and 4 meet those conditions: 11 + 4 = 15, and 11 × 4 = 44.

So, the factored polynomial is:

Question 17. Factor the polynomial

40-22x+x^2

1. Rearrange the terms:

2. Write two binomials; each with first term x

(x-a)(x-b)

The negative sign for a comes from the negative sign before 22x; the negative sign of b comes from the product of the signs of -22x and + 40.

3. Find a and b such that a + b = 22 and a × b = 40

20 + 2 = 22 and 20 × 2 = 40, so the binomials are (x - 2) and (x - 20)

And the factored polynomial is:

Question 18. Factor the polynomial

-24-10x+x^2

1. Rearrange the terms

2. Sketch two binomials

The negative sign for a corresponds to the negative sign for -10x, and the positive sign for b corresponds to the multplication of the signs of -10x and -4.

3. Find a and b such that their product is -24 and their aum is - 10.

Those numbers are - 12 and + 2:

- 12 + 2 = - 10- 12 × (2) = - 24

Thus, the two factors are (x - 12) and (x +2).

And the factored polynomial is:

Question 19. Factor the polynomial

-42-m+m^2

1. Rearrange the terms

2. Sketch the factors:

The negative sign for a corresponds to the negative sign in front of m, the positive sign for b corresponds to the product of the signs of -m and -42.

3. Find two numbers, a and b, such that - a + b = - 1, and a × b = - 42

Those numbers are 6 and 7:

- 7 + 6 = - 1-7 × 6 = - 42

Then, the factors are m - 7 and m + 6.

The factored polynomial is:

Question 20. Solve the equation

x^2-7x+12=0

1. Factor the left side:

Find two numbers that sum -7 and their product is + 12. Those two numbers are - 4 and - 3.

2. Use the zero product rule

x - 4 = 0 or x - 3 = 0x = 4 or x = 3

Both, x = 4 and x = 3 are solutions.

Hence, the solutions are x = 4 and x = 3.

Question 22. Solve the equation

x^2-6x=27

1. Move 27 to the left side (using subtraction property of equalities):

2. Factor the polynomial.

Find two numbers whose sum is - 6 and their product is - 27.

Those numbers are - 9 and + 3:

- 9 + 3 = - 6- 9 × 3 = 27 (x-9)(x+3)=0

3. Zero product rule

$x-9=0\\ \\ x=9\\ \\ x+3=0\\ \\ x=-3$

The two solutions are: x = 9 and x = -3

Answer from: Quest

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24 -24

-3x = -51

2nd step: divide.

-3x = -51

3 3

x = 17

hope this

Answer from: Quest

-1

step-by-step explanation:

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