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3 years ago

Which three expressions are equivalent to the expression 3x − 12 − 2(x + 12)?

Mathematics

2 answers:

Sergio039 [100]3 years ago

6 0

Answer:

The answer should be x - 36

Step-by-step explanation:

enot [183]3 years ago

4 0

Answer:

Step-by-step explanation:

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In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second

Molodets [167]

Given:

In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second.

To find:

The equation for the given situation if the sum of the numbers is 77.

Solution:

a. Let the first number in the set is x.

The second is 3 more than the first. So, the second number is $(x+3)$ .

The 3rd number is a square of the second. So, the third number is $(x+3)^2$ .

Therefore, the first, second and third numbers are $x,(x+3),(x+3)^2$ respectively.

b. The sum of the numbers is 77.

First number + Second number + Third number = 77

c. So, the equation in terms of x is:

$x+(x+3)+(x+3)^2=77$

Therefore, the required equation is $x+(x+3)+(x+3)^2=77$ .

d. On simplification, we get

$x+x+3+x^2+6x+9=77$ $[\because (a+b)^2=a^2+2ab+b^2]$

$x^2+(6x+x+x)+(3+9)=77$

$x^2+8x+12=77$

Subtract 77 from both sides.

$x^2+8x+12-77=77-77$

$x^2+8x-65=0$

Therefore, the simplified form of the required equation is $x^2+8x-65=0$ .

6 0

2 years ago

Which polynomial represents (6 x 2 −x−9)(4x−7)?

nydimaria [60]

Answer:

The answer to your question is 24x³ - 46x²- 28x + 63

Step-by-step explanation:

Data

(6x² - x - 9)(4x - 7)

Process

1.- Multiply 4x by the three terms of the first polynomial

(6x² - x - 9)(4x) = 24x³ - 4x² - 36x

2.- Multiply -7 by the three terms of the first polynomial

(6x² - x - 9)(-7) = -42x² + 7x + 63

3.- Add both result

24x³ - 4x² - 36x -42x² + 7x + 63 = 24x³ - 46x²- 28x + 63

6 0

3 years ago

HELP. A triangle is dilated by a scale factor of 2 and the area of the original figure is x units.

7nadin3 [17]

Answer:

4x.

Step-by-step explanation:

If the scale factor is 2 then the area factor is 2^2 = 4.

So the area of the new triangle is 4*x.

8 0

2 years ago

Carter invested $16,000 in an account paying an interest rate of 5.6% compounded monthly. Assuming no deposits or withdrawals ar

jenyasd209 [6]

Answer:

11 years.

Step-by-step explanation:

Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:

16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600

Y = 11

16,000 x 1.4666 ^ 132 = X

29,581.70 = X

Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.

8 0

2 years ago

What is an equivalent fraction for 4/2

s344n2d4d5 [400]

Answer:2

Step-by-step explanation:

5 0

2 years ago

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