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2 years ago

Is the following statement TRUE or FALSE? Select the best choice from the following to justify your

Mathematics

1 answer:

ale4655 [162]2 years ago

5 0

Answer:

$first \: answer \: is \: true$

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Consider the parent quadratic function f(x) = x2.

zloy xaker [14]

F(x)=x+c, where c is an arbitrary constant.
if c is positive then translation above
if c is negative then translation down
reflection of f(x)=x^2 across x-axis then
f(x)=-x^2

5 0

2 years ago

Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)

LenaWriter [7]

Answer:

The slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(-1, -2)

(3, 4)

Determining the slope between (-1, -2) and (3, 4)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)$

$m=\frac{4-\left(-2\right)}{3-\left(-1\right)}$

$m=\frac{3}{2}$

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

$4=\frac{3}{2}\left(3\right)+b$

switch sides

$\frac{3}{2}\left(3\right)+b=4$

$\frac{9}{2}+b=4$

subtract 9/2 from both sides

$\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}$

$b=-\frac{1}{2}$

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

$y = mx+b$

$y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)$

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Therefore, the slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

8 0

2 years ago

Simplify the expression <br> -7(3e-2f+4)+6e-2

Shkiper50 [21]

Answer: here it is 14f-30-15e

5 0

3 years ago

How many ounces are in 8 cups

Olenka [21]

First ask your self how many ounces are in 1 cup?
8 ounces
So to find how many ounces are in 8 cups, you have to multiply how many ounces in one cyp (8) by 8
8×8=64
64 ounces

3 0

3 years ago

Read 2 more answers

Which list orders the numbers from least to greatest

VLD [36.1K]

Answer:

3rd option

Step-by-step explanation:

-5 is smaller than -2.

-2 is smaller than 1

1 is smaller than 3

8 0

3 years ago

Read 2 more answers