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3 years ago

Which graph represents the piecewise-defined function?

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

6 0

Answer: The correct option is 1.

Explanation:

The given piecewise function is,

$y=\begin{cases}-\frac{4}{5}x-3 & \text{ if } x$

It means if x<0, then

$f(x)=-\frac{4}{5}x-3$

If $x\geq2$ , then

$f(x)=3x-10$

Since the f(x) is defined for x<0 and $x\geq2$ , therefore the function f(x) is not defined for $0\leq x$ .

From the graph 2, 3 and 4 we can easily noticed that for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.

Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for $0\leq x$ , hence the first option is correct.

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Nina earns $15 for each yard she mows the table shows her earnings for 0, 1, 2 and 3 yards mowed how much will Nina earn if she

Paha777 [63]

Hello there!

According to the chart, you can see that for every lawn Nina mows, she earns $15. So it's increasing by 15 per yard.

Let's see if this will help:

1 yard= $15
6 yards = ???

I don't want to give you the answer right away, since I want you to learn how to do it. :)

I hope my hint helped!!

(If you're really stuck, take 6 times 15)!

Hope this helped!!

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8 0

3 years ago

95 points <br><br> Simplify (4^9/4^3)^5 Show your work for full credit

dexar [7]

Answer:

$4^{30}$

Step-by-step explanation:

$(4^9/4^3)^5=$
$(4^{9-3})^5=$
$(4^6)^5=$
$4^{6*5}=$
$4^{30}$

3 0

2 years ago

Read 2 more answers

1.Are AC^line and BE^line congruent? Explain.

Ksivusya [100]

Line AC has 7 spaces and line BE has 8

to know this you count from letter A to C which is 7. and then B to E which is 8

They ARE NOT CONGRUENT

3 0

3 years ago

What is the variable used to predict another variable called________.A. Independent variableB. Dependent variableC. Moderating v

UkoKoshka [18]

Answer:

A. Independent variable

Step-by-step explanation:

The prediction of a variable can be done if we have the independent variable. Which is the required variable that is used to determine the value of the other variable. The variable to be predicted is dependent on the required variable.

An independent variable can also be referred to as a predictor variable. When its value is known, it can be used to obtain the dependent variable.

7 0

3 years ago

Factor completely 4x4 − 24x3 + 36x2.

ipn [44]

The previous answer from another person got deleted, so I'm here to put it back in my own words.

(Edit: The answer is A)

First of all, you can take 4 out of each, so simplify everything by 4.

4(x^4 - 6x^3 + 9x^2)

Next, you can see that you're able to take out x^2

4x^2(x^2 - 6x + 9)

You can see that both x^2 and 9 are perfect squares, meaning you can crunch them together like this

(x+3)^2 or (x-3)^2

Of course, only one would work, and as fate has it, (x-3)^ produces x^2 - 6x + 9

This would turn the now factored equation into :

4x^2(x-3)^2 or 4x^2(x-3)(x-3), this means the answer is A

6 0

3 years ago