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2 years ago

Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?

Mathematics

1 answer:

Ber [7]2 years ago

5 0

Answer:

$x^2$ + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

(x+2)^2 + 5(x+2) - 6 = 0

x^2 + 4x + 4 + 5x + 10 - 6 = 0

x^2 + 9x + 8 = 0

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

dezoksy [38]

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).

3 0

3 years ago

The perimeter of a square is 192 centimeters. If the square is dilated by a scale factor of 0.25, what is the length of each sid

Ulleksa [173]

Answer:

60cm

Step-by-step explanation:

perimeter of a square=4L

192cm=4L

L=48cm

Dilated by ratio 0.25

1 : 0.25 = 48 : 12

New length = 48+12 = 60cm.

6 0

2 years ago

The temperature in the afternoon was 10 degrees. By 8 pm, the temperature was -5

Ket [755]

Answer:

The temperature had dropped by 15 degrees (-15 if you don't want it positive.)

Step-by-step explanation:

Okay!

This is a subtraction problem.

If it started off at 10, and went down to -5, we can do |-5 - 10| (I am using the two bars because it said change.) And we get 15!

5 0

3 years ago

Read 2 more answers

What is the percentage of cacao in hot chocolate which is made of 480 grams of milk and 20 grams of cacao?

galina1969 [7]

Given that the hot chocolate is made of 480 grams of milk and 20 grams of cacao.

We need to determine the percentage of cacao in hot chocolate.

<u>The percentage of cacao:</u>

The total grams of hot chocolate can be determined by adding the total grams of milk and the total grams of cacao.

Total grams of hot chocolate = Grams of Milk + Grams of cacao

Total grams of hot chocolate = 480 + 20 = 500 grams.

Thus, the total grams of hot chocolate is 500 grams.

Now, we shall find the percentage of cacao.

The percentage of cacao is given by

$\frac{100}{500}\times 20$

Simplifying, the values, we get,

$\frac{2000}{500}=4\%$

Thus, the percentage of cacao is 4%

6 0

3 years ago

Simplify -3x^2-5x^2(4x^3-x^2)2

PSYCHO15rus [73]

Let's simplify step-by-step.

−3x2−5x2(4x3−x2)(2)

Distribute:

=−3x2+−40x5+10x4

Answer:

=−40x5+10x4−3x2

8 0

3 years ago