______has gate cells

5. h(x)=0.5x - 1 with domain (-♾, 4) what is the range

Rudiy27

We have a domain of a function, that is, which x-es can we throw in. But we are asking which y-s will we get given that we can only throw x-es in $(-\infty,4)$ .

Let's try $x=4$ even though we are forbidden to put 4 inside $h$ we are still able to do so.

So $h(4)=0.5\cdot4-1=2-1=1$ what we just got is the upper limit of the range. The lower limit is $h(-\infty)=-\infty$ .

So the range is just $(-\infty, 1)$ .

Hope this helps :)

6 0

3 years ago

Find the exact volume of each cylinder

deff fn [24]

I need a picture of the cylinders to anwser your question.

7 0

3 years ago

During the first four months of the year, Jack earned $1270, $1150, $870 and $1450 If Jack must have an average salary of at lea

tia_tia [17]

Answer:

1010

Step-by-step explanation:

There are a whole class of questions that rely on the method to this one.

First add up what you know

1270 + 1150 + 870 + 1450 = 4740

Now add on the 5th month (which you don't know. Call it x)

4740 + x

Divide by 5

(4740 + x)/5 = 1150 and that is your equation

Solution

Multiply both sides by 5

5*(4740 + x) / 5 = 1150 * 5

4740 + x = 5750

Subtract 4740 from both sides

4740 - 4740 + x = 5750 - 4740

x = 1010

Which seems kind of low, but that's what the numbers come to.

6 0

3 years ago

Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Ky

eduard

Answer:

It will take her 3 hours to read 120 pages.

Step-by-step explanation:

The number of pages read(y) after x hour can be modeled by a linear function in the following format:

$y = ax + b$

In which a is the number of pages read per hour and b is the initial number of pages read.

A straight line goes through (0, 0)

This means that when $x = 0, y = 0$

So

$y = ax + b$

$0 = a*0 + b$

$b = 0$

(0.5, 20)

When $x = 0.5, y = 20$

So

$y = ax$

$20 = 0.5a$

$a = \frac{20}{0.5}$

$a = 40$

The function in:

$y(x) = 40x$

According to the graph, which statement must be true?

It will take her 2 hours to read 60 pages.

$y(2) = 40*2 = 80$

Less than 2 hours for 60 pages, so this is false.

It will take her 3 hours to read 120 pages.

$y(3) = 40*3 = 120$

This statement is true.

It will take her 4 hours to read 180 pages.

$y(4) = 40*4 = 160$

More than 4 hours to read 180 pages. So false.

It will take her 5 hours to read 210 pages.

$y(5) = 40*5 = 200$

More than 5 hours to read 210 pages. So false.

6 0

4 years ago

Mike is biking to catch up with his sister who is already 1200 yards ahead of him. If he bikes at a speed of 600 yards per minut

sashaice [31]

Answer:

8 minutes.

Step-by-step explanation:

Let m represent number of minutes.

We have been given that Mike is biking to catch up with his sister who is already 1200 yards ahead of him. His sister is biking at a speed of 450 yards per minute.

So total distance covered by Mike's sister after m minutes would be $450m+1200$ .