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4 years ago

Which function represents g(x), a reflection of f(x) = 2/5(10)x across the x-axis?

1 answer:

3 0

Please use the "caret" sign (^) to indicate exponentiation, and follow rules of PEMDAS for priority of operations, including parentheses.

In general, reflection about the x-axis is achieved by negation of the function.
For example, the reflection of p(x) across the x-axis is q(x)=-p(x).

Assuming f(x)=(2/5)10^x, the reflection of f(x) across the x-axis is
g(x)=-f(x)=-(2/5)10^x.

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Please help me with this problem:Which properties justify the steps taken to solve the system?{2x−4y=183x+3y=0Drag and drop the

Hatshy [7]

First step.

If we multiply by 3 the first equation and by 2 the second equation we get the first step:

$\begin{gathered} 6x-12y=54 \\ 6x+6y=0 \end{gathered}$

therefore, the answer for the first box is: Multiplication property of equality.

Second step.

If we subtract both equations, we have

$-18y=54$

then, the answer for the second box is: Subtraction property of equality

Third step.

By dividing both sides of our last result by -18, we get

$y=\frac{54}{-18}=-3$

then, the answer for the third step is: Division property of equality.

Fourth step.

Once we have obtained the result for variable y (which is -3), we need to find the result for variable x. So, by substituting our result for y into the first equation, we have

$2x-4(-3)=18$

Therefore, the answer for the fourth box is: Substitution property of equality.

Fifth step.

Then, by simplifying our last result, in which there is a product of -4 and -3, we get

$2x+12=18$

Thefore, the answer for the fifth box is: Simplify.

Sixth step.

Now, by subtracting 12 to both sides, we have

$2x=6$

then, the answer for the sixth box is: Subtraction property of equality.

Seventh step.

Finally, by dividing both sides by 2, we obtain

$x=3$

Then, the answer for the seventh box is: Division property of equality.

5 0

2 years ago

There are already 1,600 gallons of water in a swimming pool. If water is filling the pool at a rate of 25 gallons per minute, wh

AnnZ [28]

Answer:

y = 25m + 1400 is your equation

7 0

3 years ago

Read 2 more answers

Can anyone help me please

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

We need to check each u value to say if each one is correct...

8 $\leq$ u - 27

when u = 33

8 $\leq$ 33 - 27

8 $\leq$ 6

and it's true!

So, 33 is solution

when u = 39

8 $\leq$ 39 - 27

8 $\leq$ 12

It isn't true. No solution!

When u = 31

8 $\leq$ 31 - 27

8 $\leq$ 4

It's true and it also is a solution.

when u = 35

8 $\leq$ 35 - 27

8 $\leq$ 8

it's true and it also is a solution.

4 0

4 years ago

What is the slope intercept of (2001,17.60) and (2002,18.75)

Sedaia [141]

Do you mean the slope of the line or the y-intercept
(2002-2001)/(18.75-17.60)= 0.869 =slope
y=mx + b -> 2001= 0.869 (17.60) +b -> b= 1985.7= y-intercept

3 0

4 years ago

The table gives the average age of airplanes per airline at Camila’s local airport. By what percent is the number of airlines wi

VladimirAG [237]

The percentage that the number of airlines with an average airplane age of 14 is less than the number of airlines with an average airplane age of 11 is:

B. 20%.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

$P = \frac{a}{b} \times 100\%$

The percentage of airlines with an average age of 14 years is:

$P = \frac{2}{15} \times 100\% = 13.33\%$

The percentage of airlines with an average age of 11 years is:

$P = \frac{5}{15} \times 100\% = 33.33\%$

The difference is:

33.33% - 13.33% = 20%.

Hence option B is correct.

More can be learned about percentages at brainly.com/question/10491646

#SPJ1

6 0

2 years ago