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3 years ago

PLEASE HELP! When x = 1 — 2 , 3x 2 =

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

4 0

Plug in the x value.

3(1-2)2=?
1-2= -1
3(-1)= -3
-3(2)= -6.

The answer is -6.

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$

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3 years ago

The lengths of two sides of a triangle are 3 feet and 5 feet. Which could be the length of the third side?

aivan3 [116]

Answer:

b) 8 feet

Step-by-step explanation:

5+3=8

So, the answer will be 8

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2 years ago

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Step-by-step explanation: Because I am smart

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1 year ago

GCF for 44 77 210 126

alexgriva [62]

The GCF for 44, 77,210, and 126 is 1 . I know this because other than one they have none of the same factors that go into each of the numbers.

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