All categories

3 years ago

Write an equation to match each graph:

Mathematics

2 answers:

morpeh [17]3 years ago

5 0

Write an equation to match each graph.

Solution:

The first graph is V shaped graph centered at origin, (0,0) and the graph is not shifted or translated. So, the equation of first graph is,

y=|x|

The second graph is V shaped graph centered at (1,0) and y=|x| is horizontally shifted right by 1 unit. So, the equation of second graph is,

y=|x-1|

The third graph is also V shaped but, it is inverted V graph centered at (0,1) . As, the graph is inverted V So, the graph must have y=-|x|. But, as the center is (0,1). So, the graph is shifted up by 1 unit. So, the equation of the third graph is,

y=-|x|+1

The fourth graph is shifted V graph, whose center is (1,-1). So, y=|x| is shifted right by 1 unit and down by 1 unit. So, the equation of fourth graph is,

y=|x-1|-1

The center of fifth graph is (-1,0), So, y=|x| graph is shifted left by 1 unit. So, the equation of fifth graph is

y=|x+1|

Nikolay [14]3 years ago

3 0

The equation should be y=|x| BUT i am not 100%. there would be no shifts because the vertex is on the origin.

You might be interested in

Charlie separates his favorite gumballs based on color. He put the red ones in a red bowl, green ones in a green bowl, and brown

Aleks04 [339]

100% or 1 because there are only red gumballs in the red bowl.

7 0

3 years ago

sweet t has 2 orange picks for every 5 green. I f there are 21 picks in all, how many picks are orange?

weeeeeb [17]

If there are 21 picks, 6 are orange

8 0

3 years ago

Read 2 more answers

In a simple regression analysis (where y is a dependent and x an independent variable), if the y-intercept is positive, then it

Rom4ik [11]

Answer:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

On this case the correct answer would be:

E. none of the above

Since the intercept has no association between the increase/decrease of the dependent variable respect to the independent variable

Step-by-step explanation:

Assuming the following options:

A. there is a positive correlation between X and Y

B. there is a negative correlation between X and Y

C. if X is increased, Y must also increase

D. if Y is increased, X must also increase

E. none of the above

If we want a model $y = mx +b$ where m represent the lope and b the intercept

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

On this case the correct answer would be:

E. none of the above

Since the intercept has no association between the increase/decrease of the dependent variable respect to the independent variable

3 0

2 years ago

Which pair of numbers have a greatest common factor of 7?

ella [17]

<span>The GCF is the number that is a factor of both (or all) of the numbers of a given set and which is the biggest factor of this kind (often the smaller number of the two)

7 and 14 have a greatest common factor of 7.

28 and 7 also have a GCF of 7, so the first two responses fit.

21 and 3 have a GCF of 3, so that isn't correct.

7 and 1 have a GCF of 1, so that's incorrect as well.</span>

3 0

3 years ago

Read 2 more answers

Maria needs to make a total of 80 deliveries this week. So far she has completed 48 of them. What percentage of her total delive

Amiraneli [1.4K]

What I always do to solve this, is find a common factor for each number first.

Usually 4 or 5 works best. I'll use 4.

4 goes into 80 20 times, which means that 4 = 5% of 80.

If 4 = 5%, and 48 = 12 x 4, then 48 must equal 60% of 80.

(Another way to solve this problem is: simplify 48 / 80. This simplifies to 3/5.

3/5 = 60%)!

4 0

3 years ago