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2 years ago

Stephen charges $25 for each lawn he mows. Identify the dependent and independent variable

1 answer:

3 0

Because Stephen always gets $25 it doesn't change making it the Dependent Variable, but how many lawns she mows can change making it Independent.

Dependent = $25

Independent = Lawns Mowed

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Help please 1. Describe the transformations necessary to transform the graph of

natta225 [31]

Here are all the steps, and what they do:

STEP 1: HORIZONTAL TRANSLATION

We transform

$x^2\mapsto (x-1)^2$

The general transformation is

$f(x)\mapsto f(x+k)$

These transformations translate the graph horizontally, k units to the left if k>0, k units to the right if k<0.

In this case, k = -1, so we translate the original graph 1 unit to the right.

STEP 2: VERTICAL STRETCH

We transform

$(x-1)^2\mapsto 3(x-1)^2$

The general transformation is

$f(x)\mapsto kf(x)$

These transformations stretch the graph vertically. The graph expands if |k|>1, while it shrinks if 0<|k|<1. If k is negative, we also reflect the graph with respect to the x axis.

In this case, k = 3, so we stretch the graph vertically by a factor 3.

STEP 3: VERTICAL TRANSLATION

We transform

$3(x-1)^2\mapsto 3(x-1)^2+4$

The general transformation is

$f(x)\mapsto f(x)+k$

These transformations translate the graph vertically, k units up if k>0, k units down if k<0.

In this case, k = 4, so we translate the graph 4 units up.

So, we start from the original graph of $f(x)=x^2$ and we:

Translate it 1 unit to the right
Stretch it vertically by a factor 3
Translate it 4 units up

(the order is important!)

to get the graph of $g(x)=3(x-1)^2+4$

4 0

2 years ago

Please help me with his geometry question

Reil [10]

Is this <ABD?

if so, all lines tangent to a circle, its point of tangency is perpendicular to the center of the circle. So <ABD = 90 degrees

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7Bx%7D%20%20%20-%202x%20%3D%20y" id="TexFormula1" title=" \frac{y}{x} - 2x

dem82 [27]

Answer:

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

Step-by-step explanation:

3 0

3 years ago

How many dollars are in 65536

mezya [45]

65 thousand 5 hundred and thirty six dollars

4 0

3 years ago

Which of these could be considered a statistical question? A.How many pets does Tom have at home? B.On average, how many plants

meriva

Answer:

<h2>B. On average, how many plants do the students in your class have at home?</h2>

Step-by-step explanation:

A statistical question must have the characteristic of variability, that is, it must be a question that can be answered by a collective, where each person has a slaightly or big different answer, because all of them are different, that's the variability ingredient.

Among the options, you can notice that only B has this characteristic, it's the only statistical question. In other words, question A and C are questions about one person, they don't have variability.

5 0

3 years ago