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Colt1911 [192]
3 years ago
10

Multiply the polynomial (x-5)(x^2+4x-2)

Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0
I believe the answer is (x^3)-(x^2)-22x+10
scoundrel [369]3 years ago
7 0

Answer:

x³ - x² - 22x + 10

Step-by-step explanation:

Given

(x - 5)(x² + 4x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + 4x - 2) - 5(x² + 4x - 2) ← distribute both parenthesis

= x³ + 4x² - 2x - 5x² - 20x + 10 ← collect like terms

= x³ + (4x² - 5x²) + (- 2x - 20x) + 10

= x³ + (- x²) + (- 22x) + 10

= x³ - x² - 22x + 10

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Step-by-step explanation:

8 0
3 years ago
What value of x makes the equation true?<br> 3(4x-5)-4x+1=-6<br> Please show work
V125BC [204]

Answer:

x = 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

3(4x - 5) - 4x + 1 = -6

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 3:                    12x - 15 - 4x + 1 = -6
  2. Combine like terms:       8x - 14 = -6
  3. Isolate <em>x</em> term:                 8x = 8
  4. Isolate <em>x</em>:                          x = 1

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    3(4(1) - 5) - 4(1) + 1 = -6
  2. Multiply:                               3(4 - 5) - 4 + 1 = -6
  3. Subtract:                              3(-1) - 4 + 1 = -6
  4. Multiply:                               -3 - 4 + 1 = -6
  5. Subtract:                              -7 + 1 = -6
  6. Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = 1 is the solution to the equation.

3 0
3 years ago
Explain whether you would want a higher or lower interest rate.
tia_tia [17]

the product of x and 5.2 is 140. find the value of X

8 0
3 years ago
Write and equation in slope intercept form (y=mx+b) for the graph below
soldier1979 [14.2K]

Answer:

y=1/3x+0 or y=1/3x

Step-by-step explanation:

find the slope by taking two points and putting them in

y2 - y1/x2 - x1

so, (3,1) and (6,2) becomes 2-1/6-3 or 1/3 so, slope is 1/3

then to find y intercept you can put a point (6,2) and slope (1/3) into slope intercept form y - y1 = m(x - x1)

y - 2 = 1/3(x-6)

when you solve this you get y = 1/3x + 0, so y intercept is 0. you can also see. this on the graph given

4 0
3 years ago
Tina was given the function y = x 2+ x – 5. For what x value(s) would y = 15?
ziro4ka [17]

Answer:

the correct answer is 4

Step-by-step explanation:

y = x^2 + x - 5

y = 4^2 + 4 - 5

y= 16 + 4 -5

y = 15

6 0
3 years ago
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