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3 years ago

Graph f(x)=x and g(x) = 1/2x -5. Then describe the transformation from the graph of f(x)=x to the graph of g(x) - 1/2x -5

Mathematics

1 answer:

seropon [69]3 years ago

7 0

Answer:

Vertical Shrink by 1/2 and down 5

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Is the following variable categorical or quantitative? Collect data from a sample of teenagers with a question that asks ‘‘Do yo

Gnom [1K]

Answer:

The following variable is categorical.

Step-by-step explanation:

Consider the provided information.

Categorical variables: It take the values of categories or labels and position an entity in one of more classes.

Quantitative variables: It take numerical values and represent a calculation of some kind.

Now consider the given scenario.

Teenagers with a question that asks ‘‘Do you eat at least five servings a day of fruits and vegetables?"

Here we have two categories i.e fruits and vegetables.

Therefore, the following variable is categorical.

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3 years ago

Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.)

masya89 [10]

Answer:

$(x-4)^2+(y+5)^2=90$

Step-by-step explanation:

The equation of a circle of radius r, centered at the point (a,b) is

$(x-a)^2+(y-b)^2=r^2$

We already know the center is at $(4,-5)$ , we are just missing the radius. To find the radius, we can use the fact that the circle passes through the point (7,4), and so the radius is just the distance from the center to this point (see attached image). So we find the distance by using distance formula between the points (7,4) and (4,-5):

radius $=\sqrt{(7-4)^2+(4-(-5))^2}=\sqrt{3^2+9^2}=\sqrt{90}$

And now that we know the radius, we can write the equation of the circle:

$(x-4)^2+(y-(-5))^2=\sqrt{90}^2$

$(x-4)^2+(y+5)^2=90$

5 0

3 years ago

What does 2:6 = 14:_______

pshichka [43]

Answer:

14:42

Step-by-step explanation:

As we got 2 to get to 14, that means that we need to times by 7. Then we times the 6 by 7 to get the answer of 42.

5 0

3 years ago

Read 2 more answers

An airline charges an extra fee if a suitcase weighs more than 50 pounds. After packing, Li’s suitcase weighs 47.75 pounds. Whic

Alexus [3.1K]

For this case, the first thing we must do is define a variable.
We have then:
x: additional amount of weight that Li can add.
We write now the inequality that represents the problem.
We have then:
$x + 47.75 \leq 50
$
Answer:
An inequality that can be used to determine how much more weight can be added to the suitcase without going over the 50-pound weight limit is:
$x + 47.75 \leq 50$