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crimeas [40]
3 years ago
6

Noah earned w dollars over the summer. Mai earned x dollars, which is y dollars

Mathematics
1 answer:
Aneli [31]3 years ago
5 0

Answer:

what is the question please explain

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F(x)=2x+3 and g(x)=4x-2. Find f(x) x g(x). Find f(x) - g(x).
const2013 [10]

Answer:

<u><em>f(x) * g(x) is </em></u><u><em>8x^2 + 8x -6</em></u>

<u><em>f(x) - g(x) is </em></u><u><em>-2x + 5</em></u>

Step-by-step explanation:

<u><em>When finding the answer, we can notice they already give the values for the needed answers.</em></u>

<u><em>The first one requires f(x) and g(x). At the beginning of the question it shows that </em></u><u><em>f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).</em></u>

<u><em>The same goes for g(x). At the begginning of the question, it shows that </em></u><u><em>g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).</em></u>

<u><em>f(x) * g(x)</em></u>

<u><em>(2x+3) * (4x-2)</em></u>

<u><em>To find the answer, we need to </em></u><u><em>distibute the 2x+3 into 4x-2</em></u><u><em>.</em></u>

<u><em>To distribute, we do </em></u><u><em>:</em></u>

<u><em>2x * (4x-2)   +   3 * (4x-2)</em></u>

<u><em>First we distribute the 2x</em></u>

<u><em>2x * 4x  =  8x^2        and        2x * -2  =  -4x</em></u>

<u><em>8x^2 - 4x</em></u>

<u><em>Next we distibute the 3</em></u>

<u><em>3 * 4x  =  12x        and        3 * -2 = -6</em></u>

<u><em>12x - 6</em></u>

<u><em>Now we can combine them by</em></u><u><em> adding like terms </em></u><u><em>to get the asnwer:</em></u>

<u><em>8x^2 = 8x^2</em></u>

<u><em>-4x + 12x = 8x</em></u>

<u><em>-6 = -6</em></u>

<u><em>The first answer is </em></u><u><em>8x^2 + 8x -6</em></u>

<u><em>Second question:</em></u>

<u><em>Since we already know the values for f(x) and g(x), all we have to do is </em></u><u><em>plug in the values</em></u><u><em>.</em></u>

<u><em>(2x+3) - (4x-2)</em></u>

<u><em>This time, since we are subtracting, all we have to do is </em></u><u><em>subtract like terms</em></u><u><em>.</em></u>

<u><em>2x - 4x = -2x</em></u>

<u><em>3 - (-2) = 5</em></u>

<u><em>The second answer is </em></u><u><em>-2x + 5</em></u>

3 0
2 years ago
.) mr. Brown bought a TV for $450. He has already paid 60% of the purchase
emmasim [6.3K]

Answer:

$180

Step-by-step explanation:

.60 x 450 =270

450-270=180

8 0
3 years ago
PLEASE HELP
katovenus [111]
First, to solve for the mean absolute deviation, we need the mean of the data set. So for this case, it's (1+1+2+2+2+4)/6 = 2. To get the mean absolut deviation, we'll need the average of the difference between each data and the mean. That is [ (2 - 1) + (2 -1) + (2 - 2) + (2 - 2) + (2 - 2) + (4 - 2) ]/6 = 4/6 = 0.67. From the choices, the closest is 0.7. So the answer must be A<span>.</span>
4 0
3 years ago
Read 2 more answers
A Nike hoodie usually costs $60. The hoodie is on sale for 20% off. What is the sale price of the hoodie?
bulgar [2K]

Answer:

C

Step-by-step explanation:

100%-20%=80%

0.8*60=48

<3

Red

6 0
3 years ago
Read 2 more answers
Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. 2, 6, 15, 9,
Phantasy [73]

Answer:

6.7

Step-by-step explanation:

The given data set is

2, 6, 15, 9, 11, 22, 1, 4, 8, 19

We need to find the standard devision of the data.

Formula for mean:

Mean=\dfrac{\text{Sum of observations}}{\text{Number of observations}}

Mean=\dfrac{2+6+15+9+11+22+1+4+8+19}{10}

Mean=\dfrac{97}{10}

Mean=9.7

Fomula for standard deviation:

\text{Standard deviation}=\sqrt{\dfrac{\sum (x-\overline{x})^2}{n}}

\sum (x-\overline{x})^2=(2-9.7)^2+(6-9.7)^2+(15-9.7)^2+(9-9.7)^2+(11-9.7)^2+(22-9.7)^2+(1-9.7)^2+(4-9.7)^2+(8-9.7)^2+(19-9.7)^2=452.1

\text{Standard deviation}=\sqrt{\dfrac{452.1}{10}}

\text{Standard deviation}=\sqrt{45.21}

\text{Standard deviation}=6.72383818961

\text{Standard deviation}\approx 6.7

Therefore, the standard deviation is 6.7.

3 0
3 years ago
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