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Katen [24]
3 years ago
13

Factor the polynomial expression 15x^2 - 2x - 8

Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

Answer:

(3 x + 2) (5 x - 4)

Step-by-step explanation:

Factor the following:

15 x^2 - 2 x - 8

Factor the quadratic 15 x^2 - 2 x - 8. The coefficient of x^2 is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12. So 15 x^2 - 2 x - 8 = 15 x^2 - 12 x + 10 x - 8 = 5 x (3 x + 2) - 4 (3 x + 2):

5 x (3 x + 2) - 4 (3 x + 2)

Factor 3 x + 2 from 5 x (3 x + 2) - 4 (3 x + 2):

Answer: (3 x + 2) (5 x - 4)

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PLZ HELP WILL MARK BRAINLIEST
Fantom [35]

Answer:

  g(x) = (1/6)(x +7)^2 -8

Step-by-step explanation:

The transformation ...

  g(x) = a·f(x -h) +k

represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...

  g(x) = (1/6)(x +7)^2 -8

6 0
3 years ago
An angle measures 15 degrees more than its complement. Find the measures of the two angles
ale4655 [162]

x = one angle

y = other angle

y = 15+x

complements add to 90 degrees

x+y = 90

substitute for y (15+x)

x + 15+x = 90

combine like terms

2x+ 15 = 90

subtract 15 from each side

2x = 75

divide  each side by 2

x = 75/2

x = 37.5

y = x+15

y = 37.5 + 15

y =52.5

The two angles are 37.5 and 52.5


3 0
3 years ago
A survey was conducted
inna [77]

Answer: 9/25 or 36%

Step-by-step explanation:

72 + 28 + 62 + 38 = 200

There are 200 people in total and 72 are youngsters who like sport cars.

So, the number of youngsters who like cars out of the total number of people is 72/200.

Now, find a greatest common divisor. In this case, the greatest common divisor is 8.

72 / 8 = 9

200 / 8 = 25

9/25 (fraction)

25 * 4 = 100

9 * 4 = 36

36/100 = 36% (percentage)

4 0
4 years ago
Read 2 more answers
Enter the simplified form of the complex fraction in the box. Assume no denominator equals zero.
Olenka [21]

Answer:

\frac{(9-x)}{3x}

Step-by-step explanation:

we have

\frac{\frac{2}{x-3}-\frac{3}{x}}{\frac{3}{x-3}}

step 1

Solve the numerator of the quotient

\frac{2}{x-3}-\frac{3}{x}=\frac{2x-3(x-3)}{(x-3)x}=\frac{2x-3x+9}{(x-3)x}=\frac{9-x}{(x-3)x}

step 2

substitute in the original expression

\frac{\frac{9-x}{(x-3)x}}{\frac{3}{x-3}}

\frac{(x-3)(9-x)}{3x(x-3)}

step 3

simplify

\frac{(9-x)}{3x}

5 0
3 years ago
11x+6y=-48 slope intercept
lesya [120]

Answer:

y = -11/6x - 8

Step-by-step explanation:

<u>Step 1:  Solve for y</u>

11x + 6y = -48

11x + 6y - 11x = -48 - 11x

6y / 6 = (-48 - 11x) / 6

y = -8 - 11/6x

Answer:  y = -11/6x - 8

5 0
3 years ago
Read 2 more answers
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