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3 years ago

Solve the quadratic equations below using the factorization method.

Mathematics

1 answer:

liubo4ka [24]3 years ago

4 0

Answer: omg this is hard

Step-by-step explanation:

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The difference of a number and six is negative four

jonny [76]

10, i believe. i hope this helps :)

5 0

3 years ago

Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)

timofeeve [1]

Answer: $x-2y-2=0$

Step-by-step explanation:

Given :

$f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8$

Point of intersection :

$f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}$

$x=2\,;f(2)=2^2-4=0\\x=\frac{-3}{2}\,; f\left ( \frac{3}{2} \right )=\left ( \frac{3}{2} \right )^2-4=\frac{-7}{4}=-1.75$

So, we have points $\left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )$

Equation of line passing through two points $\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )$

Let $\left ( x_1,y_1 \right )=\left ( 2,0 \right )\,,\,\left ( x_2,y_2 \right )=\left ( -1.5,-1.75\ \right )$

So, equation is as follows :

$y-0=\frac{-1.75-0}{-1.5-2}\left ( x-2 \right )\\y=\frac{-1.75}{-3.5}\left ( x-2 \right )\\y=\frac{1}{2}(x-2)\\2y=x-2\\x-2y-2=0$

4 0

4 years ago

F(3)-f(2)=-2(x-3)2+4

Paul [167]

answer:

the answer will be 4

step-by-step explanation:

6 0

3 years ago

Read 2 more answers

An offshore oil well is leaking oil and creating a circular oil slick. If the radius of the slick is growing at a rate of 2 mile

Genrish500 [490]

Answer:

37.7 mi²/h

Step-by-step explanation:

The area formula is ...

A = πr²

Differentiating with respect to time gives ...

dA/dt = 2πr·dr/dt

Filling in the given values, we have ...

dA/dt = 2π(3 mi)(2 mi/h) = 12π mi²/h

The area is increasing at the rate of about 37.7 mi² per hour.

5 0

3 years ago

Which functions have an additive rate of change of 3? Select two options.

mezya [45]

The answers would be 9 and 6

8 0

3 years ago