if you vertically compress the absolute value parent function f(x)=|x| by a factor of 3 what is the equation of the new function

Answer:

The answer is the option A

Eric rode [tex]2[/tex] more miles per week than Kim rode

Step-by-step explanation:

Step 1

Find the number of miles that Kim rode per week

Divide the total miles by the total weeks

so

[tex]\frac{135}{9}\frac{miles}{weeks}= 15\frac{miles}{week}[/tex]

Step 2

Find the number of miles that Eric rode per week

Divide the total miles by the total weeks

so

[tex]\frac{102}{6}\frac{miles}{weeks}= 17\frac{miles}{week}[/tex]

Step 3

Compare the unit rates

Kim [tex]15\frac{miles}{week}[/tex]

Eric [tex]17\frac{miles}{week}[/tex]

[tex]17\frac{miles}{week}-15\frac{miles}{week}=2\frac{miles}{week}[/tex]

so

Eric rode [tex]2[/tex] more miles per week than Kim rode

Sylvia can wrap 6 candles.

To find out how many candles Sylvia can wrap with 3/4 of a yard of paper, we need to divide the total paper by the paper needed for each candle. Since it takes 1/8 of a yard to wrap one candle, we can find the number of candles by dividing 3/4 by 1/8:

3/4 ÷ 1/8 = 3/4 x 8/1 = 6 candles

Therefore, Sylvia can wrap 6 candles with the available paper.

Answer:

2.5 :)

Step-by-step explanation:

Answer:

The above one is partly correct the answer (for odyssey ware) is                        (-(1)/(2)x+2y)(-2)

-(1)/(2) (-2 x + 8 y)

and 3( x - 2 y) + 2( y - x)

Hope this helps people in the future ☜(ﾟヮﾟ☜)

Step-by-step explanation:

Answer:

The length of EF is [tex]4\sqrt{17}[/tex] units.

Step-by-step explanation:

The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1).

Using distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]BC=\sqrt{(3+1)^2+(1-2)^2}=\sqrt{17}[/tex]

It is given that ΔDEF ∼ ΔABC.

If two triangles are similar then the corresponding sides are proportional.

[tex]\frac{AB}{DE}=\frac{BC}{EF}[/tex]

[tex]\frac{AB}{4AB}=\frac{BC}{EF}[/tex]        (DE = 4AB)

[tex]\frac{1}{4}=\frac{BC}{EF}[/tex]

[tex]EF=4\times BC[/tex]

[tex]EF=4\times \sqrt{17}[/tex]

[tex]EF=4\sqrt{17}[/tex]

Therefore the length of EF is [tex]4\sqrt{17}[/tex] units.

Answer:

Wilhem

Step-by-step explanation:

The given equation is

[tex]32g+8g-10g=150[/tex]

Step 1 : Add 32g and 8g.

[tex](32g+8g)-10g=150[/tex]

[tex](32+8)g-10g=150[/tex]

[tex]40g-10g=150[/tex]

Step 2: Subtract 10 from 40.

[tex](40-10)g=150[/tex]

[tex]30g=150[/tex]

Step 3: Divide both sides by 30, find the value of g.

[tex]\frac{30g}{30}=\frac{150}{30}[/tex]

[tex]g=5[/tex]

The value of g is 5.

Therefore, Wilhem is correct.

Answer: D

Wilhem

Step-by-step explanation:

Edge2020

The correct answer is 100 months, 8060$,

To solve this problem, we need to find the point where the total cost of Xfinity cable and Direct TV cable services become equal, and then calculate the corresponding cost at that point.

Given:

- Xfinity cable charges a [tex]$60[/tex] setup fee and [tex]$80[/tex] per month.

- Direct TV charges a [tex]$160[/tex] equipment fee and [tex]$79[/tex] per month.

Let's define the total cost functions for both cable services:

Xfinity cable total cost ([tex]C_x[/tex]) after x months:

[tex]C_x = 60 + 80x[/tex]

Direct TV total cost ([tex]C_d[/tex]) after x months:

[tex]C_d = 160 + 79x[/tex]

To find the point where the total costs are equal, we set the two equations equal to each other and solve for x:

[tex]60 + 80x = 160 + 79x[/tex]

[tex]x = 100[/tex]

Substituting x = 100 into either equation, we can find the total cost at that point:

[tex]C_x = 60 + 80(100) = 8060[/tex]

[tex]C_d = 160 + 79(100) = 8060[/tex]

Therefore, after 100 months, the total cost of both cable services will be the same at [tex]$8060[/tex].

Answer:

y = ($2.750 / app) . x

Step-by-step explanation:

Let's call

There is a linear relation between x and y, that follows the general form:

y = a . x + b

where

a is the slope

b is the y-intercept

The slope is:

Δy / Δx = $22.00 / 8 app = $2.750 / app

The, we have

y = ($2.750 / app) . x + b

When x = 0 (no app has been sold), y = 0 (no money has been earned).

0 = ($2.750 / app) . 0 + b

b = 0

The equation representing the proportionality between x and y is:

y = ($2.750 / app) . x

Final answer:

Geometric transformations include translations, rotations, reflections, and dilations; while the first three preserve figure size and shape, dilations change the size of the figure by a scale factor.

Explanation:

Geometric transformations include translations, rotations, reflections, and dilations, all of which change a figure's position and/or size on the plane while maintaining the straightness of lines and parallelism where applicable. These transformations are similar in that they can be applied to geometric figures to alter their position or size within a coordinate system. A major difference between dilations and the other transformations is that dilations change the size of the figure but do not preserve angles and lengths in the same way as the others. A dilation either enlarges or shrinks a figure by a scale factor from a central point, while translations, rotations, and reflections do not alter the size of the figure, only its position or orientation.

Answer:

Since the aide has only 3 days to come up with the results So, firstly he will collect the data of those people only who has the right to vote which is called the population of interest.

The size of the sample will depend on the population of the country.

Finally, for method of selection, a random and wide range of people must be surveyed. Ideally, he would want people from different professions, age groups, political parties, and geographical locations.

Since the aide has only 3 days, the most practical decision may be to use online surveys spread around varying interest groups to collect the information in the given short period of time. Because it is very difficult to collect this information in a very short period of time.

The resistance of the aluminum wire with a diameter of 100 mils and a length of two miles is 0.20 ohms.

To calculate the resistance of a piece of aluminum wire, we first need to convert the diameter from mils to cmils. 1 mil is equal to 1000 cmils. So, a diameter of 100 mils is equal to 100,000 cmils. Next, we need to use the K value for aluminum, which is 1.82 ohms * cmil/ft. We convert the length of the wire from miles to feet, which gives us 10560 feet. Now, we can calculate the resistance using the formula:

Resistance = (K * Length) / Area

Where K is the conductivity of aluminum, Length is the length of the wire in feet, and Area is the cross-sectional area of the wire in cmils. Plugging in the values, we get:

Resistance = (1.82 * 10560) / 100000 = 0.1957 ohms

Therefore, the resistance of the aluminum wire is 0.20 ohms.

The resistance of the aluminum wire with a diameter of 100 mils and a length of two miles, at 68°F, is 0.0002784 ohms.

To calculate the resistance of the aluminum wire, we need to convert the diameter from mils to cmils. 1 mil is equal to 1000 cmils.

So, the diameter of the wire in cmils would be 100 * 1000 = 100,000 cmils.

Next, we need to use the K value for aluminum, which is 2.65 micro-ohm cmil/foot. We need to convert the length of the wire from miles to feet. 1 mile is equal to 5280 feet.

So, the length of the wire in feet would be 2 * 5280 = 10,560 feet.

Now, we can calculate the resistance using the formula R = (K * L) / A, where R is the resistance, K is the K value for aluminum, L is the length of the wire in feet, and A is the cross-sectional area of the wire in cmils.

Plugging in the values, we get R = (2.65 * 10^(-6) * 10560) / 100000 = 0.0002784 ohms.

Answer:

y – 4 = –1 (x – 2)

y – 7 = –1 (x – (–1))

y = –x + 6

Step-by-step explanation:

To find the linear equation using the point-slope form method, determine the slope and substitute the coordinates into the formula.

To find the linear equation of a line that passes through the points (-1, 7) and (2, 4) using the point-slope form method, follow these steps:

Using these steps, the correct options are:

a. Find the slope using the formula: m = (4 - 7) / (2 - (-1))
b. Substitute the coordinates (2, 4) into the point-slope formula: y - 4 = m(x - 2)

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