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3 years ago

6

State the transformations of the following function in order: = − 3|6 − 2| + 1

1 answer:

Arlecino [84]3 years ago

5 0

Answer:

6

Step-by-step explanation:

-3 | 6 - 2| + 1

-3 + 6 + 2 + 1

-3 + 9 = 6

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Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through

stiks02 [169]

Answer:

$x + 2y= 2$

Step-by-step explanation:

Given

Points:

$F = (4,9)$

$G = (1,3)$

Required

Determine the equation of line that is perpendicular to the given points and that pass through $(2,0)$

First, we need to determine the slope, m of FG

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$F = (4,9)$ --- $(x_1,y_1)$

$G = (1,3)$ --- $(x_2,y_2)$

$m = \frac{3 - 9}{1 - 4}$

$m = \frac{- 6}{- 3}$

$m =2$

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

$m_2 = -\frac{1}{m}$

$m_2 = -\frac{1}{2}$

The equation of the line is then calculated as:

$y - y_1 = m_2(x - x_1)$

Where

$m_2 = -\frac{1}{2}$

$(x_1,y_1) = (2,0)$

$y - 0 = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}x + 1$

Multiply through by 2

$2y = -x + 2$

Add x to both sides

$x + 2y= -x +x+ 2$

$x + 2y= 2$

Hence, the line of the equation is $x + 2y= 2$

8 0

3 years ago

Read 2 more answers

Please help me I need to submit this asap

frez [133]

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here { a, b ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) = $\frac{1}{2}$ ← from (- 1, $\frac{1}{2}$ ) , thus

average rate of change = $\frac{4-\frac{1}{2} }{2-(-1)}$ = $\frac{\frac{7}{2} }{3}$ = $\frac{7}{6}$ → D

8 0

4 years ago

A CD usually sells for $13.00. If the CD is 30% off, and sales tax is 8%, what is the total price of the CD, including tax?

slamgirl [31]

I think it's $10.14.

8 0

3 years ago

The diameter of a cookie is 2 inches. If pico’s 3.14, what is the area of the cookie, rounded to the nearest 10th?

Amanda [17]

For this case we must find the area of the cookie, knowing that it has a circular shape. By definition, the area of a circle is given by:

$A = \pi * r ^ 2$

Where:

r: It is the radius of the circle

According to the data we have:

$r = \frac {2} {2} = 1 \ in$

Thus, the area of the cookie is:

$A = \pi * (1) ^ 1$

We have $\pi = 3.14$

$A = 3.14 * 1\\A = 3.14$

We round:

$A = 3.1$

Thus, the area of the cookie is $3.1 \ in ^ 2$

Answer:

$3.1 \ in ^ 2$

6 0

3 years ago

Determine the effective monthly growth rate for a population that grows at a rate of 23% each year.

ivolga24 [154]

Answer:B.) 1.74%

Step-by-step explanation:

3 0

3 years ago