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3 years ago

Use the grouping method to factor this polynomial completely. 3x3 + 12x2 + 2x + 8

Mathematics

1 answer:

dezoksy [38]3 years ago

3 0

Answer:

(3x^2 + 2)(x + 4).

Step-by-step explanation:

3x3 + 12x2 + 2x + 8

3x^2(x + 4) + 2(x + 4) The x + 4 is common to the 2 groups so we have:

(3x^2 + 2)(x + 4).

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A streetlamp has a 20 ft shadow that makes a 40° angle with the ground. which expression represents the height of the street lam

Oduvanchick [21]

Answer:

20 sin 40° ≈ 12.86 ft

Step-by-step explanation:

Let the height of the street lamp be x

Opposite angle is 40° and the shadow, the hypotenuse of the formed triangle is 20 ft.

sin 40° = x/20
x = 20sin 40°
x ≈ 12.86 ft

6 0

2 years ago

Solve -17 = x/-3 for x.

MA_775_DIABLO [31]

Answer:

x = 51

Step-by-step explanation:

-17 = x/-3

Multiply each side by -3

-3 * -17 = x / -3 * -3

51 = x

4 0

2 years ago

Read 2 more answers

Simplify the following rational expression and express in expanded form.

VladimirAG [237]

Answer:

D m = $-\frac{3}{8}$

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> $\frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}$

=> $-\frac{2m + 1}{8m + 3}$

to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:

=> $-\frac{2m + 1}{8(-\frac{3}{8} ) + 3}$ = $-\frac{2m + 1}{-3 + 3}$ = $-\frac{2m + 1}{0}$

in this case, the values of m from option D make the denominator of the fraction equals 0.

6 0

2 years ago

Solve the quadratic function by factoring. You must fill in

Stells [14]

Answer:

5x+2=0

Step-by-step explanation:

When factoring you add or subtract your factors that are similar.

For example 9x-4x+ 5x

and this is how you get 5x+2=0

Any Questions?

4 0

2 years ago

Read 2 more answers

Please answer number 29 ASAP

Effectus [21]

$h = 5b - 2$

$\frac 1 2 b h= 36$

$b(5b - 2) = 72$

$5b^2 - 2b - 72 = 0$

$(b - 4)(5b + 18) = 0$

$b = 4 \textrm{ or }b = -18/5$

We can rule out the negative length.

$h = 72/b = 72/4 = 18$

Answer: b=4, h=18

3 0

2 years ago

Read 2 more answers