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3 years ago

F(x)=4x-2, g(x)=-2x+1

Mathematics

1 answer:

Liula [17]3 years ago

7 0

Answer:

what is question write nicely and what to fond

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What is the equation of the line

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Answer: y= -7

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4 years ago

Suppose an account pays 2.5% interest that is compounded annually. At the beginning of each year, $10,000 is deposited into the

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The answer is 75,474

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2 years ago

How can I factorise (2x cubed - 5x + 3) ?

PilotLPTM [1.2K]

$2x^3-5x+3=2x^3-2x-3x+3\\\\=2x(x^2-1)-3(x-1)\\\\=2x\underbrace{(x^2-1^2)}_{use\ (*)}-3(x-1)\ \ \ |(*)\ a^2-b^2=(a-b)(a+b)\\\\=2x\underbrace{(x-1)}_{(**)}(x+1)-3\underbrace{(x-1)}_{(**)}\\\\=(x-1)[2x(x+1)-3]\\\\=(x-1)\underbrace{(2x^2+2x-3)}_{(***)}\\\\(***)\ 2x^2+2x-3\to a=2;\ b=2;\ c=-3\\\\x=\frac{b^2\pm\sqrt{b^2-4ac}}{2a}$

$therefore\\x=\frac{-2\pm\sqrt{2^2-4(2)(-3)}}{2(2)}=\frac{-2\pm\sqrt{4+24}}{4}=\frac{-2\pm\sqrt{28}}{4}=\frac{-2\pm\sqrt{4\cdot7}}{4}=\frac{-2\pm2\sqrt7}{4}\\\\=\frac{-1\pm\sqrt7}{2}\\\\so,\ the\ answer:\\\\(x-1)\cdot2\left(x-\frac{-1-\sqrt7}{2}\right)\left(x-\frac{-1+\sqrt7}{2}\right)\\\\=\boxed{(x-1)(2x+1+\sqrt7)\left(x+\frac{1-\sqrt7}{2}\right)}=\boxed{\frac{1}{2}(x-1)(2x+1+\sqrt7)(2x+1-\sqrt7)}$

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3 years ago

Read 2 more answers

What is the distance between (1,-5) and (-3,6)

spin [16.1K]

Answer:

$\large\boxed{\sqrt{137}}$

Step-by-step explanation:

The formula of a distance between two points:

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

We have the points (1, -5) and (-3, 6). Substitute:

$d=\sqrt{(6-(-5))^2+(-3-1)^2}=\sqrt{11^2+(-4)^2}=\sqrt{121+16}=\sqrt{137}$

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3 years ago

A student is given the problem: x^3+7x+9. Which of the following statements is false? A. Completing the square cannot be used to

oksano4ka [1.4K]

Answer:

<u>False</u>: C. Completing the square can be used to solve the given equation.

Step-by-step explanation:

First of all, no equation is given. Any answer that suggests a way of finding solutions to the given equation will be false.

The statement of B is debatable. The method of completing the square is most often used for quadratics, but might reasonably be applied in any situation where a perfect square can be created by regrouping the terms.

Statements A and D essentially say the same thing. Both are true. That fact makes statement C false. Statement C is the one you're looking for.

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3 years ago