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katovenus [111]
3 years ago
5

Show work, please someone help me, i'm confused still on this concept.

Mathematics
1 answer:
BigorU [14]3 years ago
3 0
Answer: choice C) -15x^4y

-----------------------------------------

Explanation:

The coefficients are -3 and 5. They are the numbers to the left of the variable terms
Multiply the coefficients to get -3*5 = -15. So -15 is the coefficient in the answer

Multiply the x terms to get x^3 times x = x^(3+1) = x^4. Notice the exponents are being added

Do the same for the y terms as well: y^2 times y^(-1) = y^(2+(-1)) = y^(2-1) = y^1 = y

So we have a final coefficient of -15, the x terms simplify to x^4 and the y terms simplify to just y

Put this all together and we end up with -15x^4y which is what choice C is showing

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Given the function h(x) = 3(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
otez555 [7]

We can write the function in terms of y rather than h(x) so that:

y = 3 (5)^x

 

A. The rate of change is simply calculated as:

r = (y2 – y1) / (x2 – x1) where r stands for rate

 

Section A:

rA = [3 (5)^1 – 3 (5)^0] / (1 – 0)

rA = 12

 

Section B:

rB = [3 (5)^3 – 3 (5)^2] / (3 – 2)

rB = 300

 

B. We take the ratio of rB / rA:

rB/rA = 300 / 12

rB/rA = 25

 

So we see that the rate of change of section B is 25 times greater than A

7 0
3 years ago
1. Below is data collected from a random sample of 40 people at the public library. If the public library has 300 people, then w
nataly862011 [7]

Answer:

please do the math luke a lesson and the beta is very weird so you want to do something about that so i suggest that you do 300.

5 0
2 years ago
Find the angle of rotation that maps point D onto point A
Charra [1.4K]

Answer:

A - 144

Step-by-step explanation:

everything else would be too far

8 0
2 years ago
How do you solve 42 divided by 63
Dafna1 [17]

42  ÷ 63

  63 -> 420

63x6=378


420-378=42

       63->420


So, how many times does 63 go into 42? Well, it doesn't. So put down a zero on your paper, and then a decimal. So if we add a zero onto 42, it becomes 420. Well, 420 is divisible by 63. In fact, 63 goes into 420 6 times, making a total of 378. 420-378 = 42. Then the process begins again. So you've got a 0.6, and that six just keeps on repeating. On paper, you're gonna wanna put a dash over the six to show that it's repeating.


Anyways, the answer is .66 repeating.

6 0
3 years ago
Read 2 more answers
It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.
vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

y\ \alpha\ \frac{1}{x^2}

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

y\ = \ \frac{k}{x^2}

Where k is the constant of proportionality

When x decreased by 50%

Y = \frac{k}{(x - 0.5x)^2}

Y = \frac{k}{(0.5x)^2}

Y = \frac{k}{0.25x^2}

Expand

Y = \frac{1}{0.25} * \frac{k}{x^2}

Substitute \frac{k}{x^2} for y

Y = \frac{1}{0.25} * y

Y = 4 * y

Y = 4 y

The percentage change is then calculated as:

\%Change = \frac{Y - y}{y} * 100\%

\%Change = \frac{4y - y}{y} * 100\%

\%Change = \frac{3y}{y} * 100\%

\%Change = 3 * 100\%

\%Change = 300\%

<em>The percentage in y is 300%</em>

7 0
3 years ago
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