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sweet-ann [11.9K]
3 years ago
14

H(x)=(x-3)^2

Mathematics
1 answer:
mihalych1998 [28]3 years ago
5 0

Answer:

Step-by-step explanation:

The domain of a function is all the allowed x values that make the function defined. There is nothing to make this function undefined. So the domain is negative infinity to positive infinity. All those x values are in the domain. In order to show your work, just show yourself plugging in those numbers.

You get 9, 0, and 1

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The equation x=-7ysquared describes a parabola. which way does the parabola open?
frosja888 [35]
Up, it is a positive number even squared

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The local grocery store has sorted apples by size. The distribution is approximately normal. The large apples have a mean diamet
NikAS [45]

Answer:

0

Step-by-step explanation:

Approximately 0.2% of the apples will be more than three standard deviations above the mean size. In a bin of 100 apples, 0.2% of 100=0.2% apples, this rounds down to zero apples that size or larger. (In a bin of 500 apples, there could be one apple of that size.)

3 0
3 years ago
Prime factorization of 43
Volgvan

Answer:

Step-by-step explanation:

Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.

8 0
2 years ago
Write an equation to represent the number of pages Jesse has read. Using x, the number of days Amir has been reading, write an e
katrin [286]

Question:

Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?

Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.

Answer:

It will take 6 days

Step-by-step explanation:

For Jesse:

Rate = 30\ pages/day

This implies that Jesse will cover 30y in y days

For Amir:

Rate = 35\ pages/day

This implies that Amir will cover 35x in x days

Because Amir starts a day later,

y = x + 1

So, we have the following equations:

Jesse = 30y

Amir= 35x

y = x + 1

To get the number of days when they read the same number of pages, we have:

Jesse = Amir

Substitute values for Jesse and Amir

30y = 35x

Substitute x + 1 for y

30(x+1) = 35x

Open bracket

30x+30 = 35x

Collect Like Terms

30 = 35x-30x

30 = 5x

Solve for x

\frac{30}{5} = \frac{5x}{5}

\frac{30}{5} = x

6 = x

x = 6

7 0
2 years ago
Find the length of the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches
Len [333]

Answer: a = 8

Step-by-step explanation:

Volume of a square based pyramid is given as

\frac{a^{2}h }{3} .

where a is the length of the side and h is the height.

Substituting into the formula , we have

V = \frac{a^{2}h }{3}

128 = a^{2}h /3

384= a^{2} X 6

Divide through by 6

384/6 = a^{2}

64 = a^{2}

Therefore :

a = \sqrt{\frac{64}{1} }

a = 8

6 0
3 years ago
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