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Anvisha [2.4K]
3 years ago
14

Expand and simplify 9 (x-y)^2-9(x+y)(x-y)

Mathematics
1 answer:
yuradex [85]3 years ago
5 0

To simplify the problem it would be: -18xy+18y^2

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PLEASE HELP ASAP f(x) = x2 What is g(x)?
vfiekz [6]

Answer:

c. g(x) = 4x^2

Step-by-step explanation:

From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.

We can then look and see that g(1) = 4 as shown by the point given to us on the graph.

To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e

Option C:

once we plug in 1 for x, our equation looks like

4(1)^2.

1^2 = 1, and 4(1) = 4,

so g(1) = 4. and our point is (1,4).

This is the same as the graph so this is the CORRECT answer.

If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.

Option D:

once we plug in 1 for x, our equation looks like

16(1)^2

1^2 = 1, and 16(1) = 16,

so g(1) = 16. and our point is (1,16).

This is different than the graph so this is the WRONG answer.

3 0
2 years ago
The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. Which of the following equations could b
Nastasia [14]

Answer:

0.15m+25=c

replace c with 71.50

the third one

25+0.15m=71.8

3 0
3 years ago
Read 2 more answers
72 is the product of Mai's height and 6.<br> 
7nadin3 [17]

Answer:

12

Step-by-step explanation:

72/6 = 12

Or 72= h*6

Be sure to mark me brainliest!

3 0
3 years ago
Read 2 more answers
As part of his math assignment, Santos has to estimate the height
ycow [4]

Answer:

105.46 feet

Step-by-step explanation:

We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.

Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.

5 0
3 years ago
Which point on the graph shows the amount of water in the bucket after 1 second? Hint: Type your answer in the form (x coordinat
Taya2010 [7]

Answer:

\displaystyle \left(1,\frac{5}{12}\right)

Step-by-step explanation:

<u>Graphs</u>

The graph shows the amount of water in gallons as a function of time in seconds.

We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.

Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

w=mt+b

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.

Using the point (0,0):

0=m(0)+b

It follows that b=0

The equation now takes the form:

w=mt

Using the point (12,5):

5=m(12)

We find m:

\displaystyle m=\frac{5}{12}

The final equation is:

\displaystyle w=\frac{5}{12}\cdot t

Substituting t=1:

\displaystyle w(1)=\frac{5}{12}\cdot (1)=\frac{5}{12}

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:

\boxed{\displaystyle \left(1,\frac{5}{12}\right)}

6 0
3 years ago
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