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3 years ago

Need help fast please! Factor by grouping. 6x³ + 24x² -7x -28 =

Mathematics

1 answer:

olchik [2.2K]3 years ago

5 0

Answer:

(x+4)(6x^2 - 7)

Step-by-step explanation:

Focus on the first 2 terms first and on the second 2 terms last:

6x^3 + 24x^2 = 6x^2(x+4)

-7x-28 = -7(x+4)

We see that the factor (x+4) is common to both pairs: common to the first 2 terms and common to the last 2 terms.

Thus,

6x³ + 24x² -7x -28 = (x+4)(6x^2 - 7(x+4)

Factoring out x+4, we get (6x^2 - 7), and so 6x³ + 24x² -7x -28 in factored form is (x+4)(6x^2 - 7).

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On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).

Semenov [28]

Answer:

Approximately 9 units.

Step-by-step explanation:

To find the distance between two ordered pairs, we can use the distance formula. The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Let (2,-3) be x₁ and y₁ respectively, and let (-4,4) be x₂ and y₂, respectively.

$d=\sqrt{(-4-2)^2+(4--3)^2} \\d=\sqrt{(-6)^2+(7)^2} \\d=\sqrt{36+49} \\d=\sqrt{85}\approx9$

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3 years ago

Simplify the expression (2 square root sign 27) - (3 square root sign 32)

monitta

Answer:

$3\sqrt{3} - 4\sqrt{2}$

Step-by-step explanation:

The expression (2 square root sign 27) - (3 square root sign 32) is $2\sqrt{27} - 3\sqrt{32}$ .

To simplify, simplify inside the radicals by removing perfect square factors.

$\sqrt{27} =\sqrt{9*3} =3\sqrt{3}$

$\sqrt{32} =\sqrt{16*2} =4\sqrt{2}$

The expression becomes $3\sqrt{3} - 4\sqrt{2}$ .

This cannot be simplified anymore because whats under the radical is not the same.

6 0

3 years ago

Please help asap 15 pts

hammer [34]

= -4x + 8y + 4x + 8y

= 16y

Answer

d) 16y

7 0

3 years ago

Explain how knowing that 5/8= 0.625 heps you write the decimal for 4 5/8

netineya [11]

To convert a fraction to a decimal , the solution is to divide the numerator by the denominator. Since its a mixed fraction, you already know what the 5/8 of the problem is (0.625). All you do it add the 4 to the decimal and it'll be 4.0625

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3 years ago

Need help ASAP please not links please

Llana [10]

Answer:

a) 22:24 simplified the answer is 11:12

b) 21:81 simplified the answer is 7:27

Step-by-step explanation:

not sure how you were taught but those could also be

a) $\frac{22}{24}$ or simplified the answer is $\frac{11}{12}$

b) $\frac{21}{81}$ or simplified the answer is $\frac{7}{27}$

7 0

3 years ago