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charle [14.2K]
3 years ago
5

15. The rectangular room is given by the trinomial x^2+4x-12. What are the possible dimensions of the rectangle? Use factoring.

(1 point)
(x-6) and (x-2)
(x+6) and (x+2)
(x-6) and (x+2)
(x+6) and (x-2)
17. What is the factored form of the following expression? X^2+2xy-48y^2 (1 point)
a. (x+6y)(x-8y)
b. (x-6y)(x-8y)
c. (x+6y)(x+8y)
d. (x-6y)(x+8y)
18. The area of a rectangular art studio is given by the trinomial 24x^2-4x-8. What are the possible dimensions of the studio? Use factoring.
a. (3x-2) and (8x-4)
b. (3x-2) and (8x+4)
(3x-2) and (8x-4)
(3x+2) and (8x-4)
Mathematics
1 answer:
a_sh-v [17]3 years ago
3 0
15.   x^2 +4x - 12 = 0
       We need to find square roots of this equation.
       solutions are   x1 = 2 and x2 = -6
       using factoring we can write this equation in a form:
       a* (x-x1) * (x-x2) where  "a" is coefficient in front of x^2 ( in this case its 1)
       therefore solution is
       (x-2) and (x+6)

17.    d) is the answer. To solve these kinds of questions just multiply factors and see if they match your expression.

18. again, we solve equation 24x^2 -4x -8 = 0
      x1 = -1/2 and x2 = 2/3
      24(x+1/2)*(x-2/3)
      8(x+1/2)*(3x-2)
      (8x + 4)*(3x-2)
answer is b)
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Answer:

x = 0

Step-by-step explanation:

Step 1: Write equation

-19 = x - 19

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

  1. Add 19 to both sides: 0 = x
  2. Rewrite: x = 0

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-19 = 0 - 19

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3 years ago
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76.8 of what is 40.32
bearhunter [10]
Hey there

Lets solve this question together,

Convert 76.8% to a decimal.

0.768 * x=40.32

Multiply 0.768 by x to get 0.768x.

0.768x=40.32

Multiply each term by 1 / 0.768 and simplify.

Cancel the common factor of 0.768.

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What number should both sides of the following equation be multiplied by to solve for g? g divided by 2 = 4
77julia77 [94]

Answer: Multiply both sides by 2.

Step-by-step explanation:

g divided by 2  is equal to 4 .

We could represent that with the equation :

\frac{g}{2} = 4     To solve for g  in this case multiply both sides by 2.

\frac{g}{2} * 2 = 4(2)     2 cancels out on the left side so we will be left with g. On the right side will be left with 8  after multiplying.

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Hey can someone please help me out with theses. And please show work. Thank you I really appreciate it.
Kamila [148]
3x+9=5
3x=-4
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8z-1=11
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2 years ago
Solve the equation by finding square roots. x2-1/4=0
Serjik [45]

Answer:

x = ±1/2

Step-by-step explanation:

x^2-1/4=0

Add 1/4 to each side

x^2 -1/4+1/4 = 0+1/4

x^2 = 1/4

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