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trasher [3.6K]
2 years ago
8

Find the vertex of the function h(x) = x2 – 4x – 21

Mathematics
1 answer:
lakkis [162]2 years ago
7 0

Answer: (2, -25)

Step-by-step explanation:

The x coordinate of the vertex is x=-\frac{-4}{2(1)}=2.

When x=2, h(2)=2^2 - 4(2)-21=-25.

So, the vertex is (2, -25).

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Help me with this question please
mojhsa [17]

Step-by-step explanation:

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as one shirt costs $15, we need to see how often 15 fits into 65, as that is the answer how many shirts he can buy for this money.

65 / 15 = 4.333333333...

since he cannot buy a part shirt, we can only rely on the integer part of the calculation.

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8 0
2 years ago
Kendall received dollars for his birthday. Joshua received dollars for his birthday. Which of the following is true?
12345 [234]
<span>Kendall's birthday money = Joshua's birthday money</span>
5 0
3 years ago
What is the expression for "the difference of 3 and 5 times a number"
soldi70 [24.7K]
(3 - 5)x

Hope this helps! :)
8 0
3 years ago
Read 2 more answers
Blake and Ned work for home remodeling business they are putting the final touches on a home they renovated. working alone Blake
stiks02 [169]

Answer:

3.6 hours

Step-by-step explanation:

Blake can do work in hours = 9

Blake can do a part of work in 1 hour = \frac{1}{9}

Ned can paint the same room in six hours.

Ned can do a part of work in 1 hour = \frac{1}{6}

They can do a part of work together in 1 hour =  \frac{1}{9}+\frac{1}{6}

                                                                           =  \frac{5}{18}  

Now they can do \frac{5}{18}  part of work in hour = 1

So, they can do whole work in hours =  \frac{1}{\frac{5}{18}}

                                                             =  3.6

Hence it will take 3.6 hours to paint the room if they work together.

6 0
3 years ago
Barbara deposited $300 in the bank. If the bank pays her simple interest at the rate of 4 percent per year, how much money will
grigory [225]

Answer:

309

Step-by-step explanation:

The formula for simple interest is

A = P(1 + rt)

where A is the amount of money in the account

P is the principal invested

r is the interest rate in decimal form

t is the time invested in years

We know

P = 300

r = 4% = .04

t = 9 months = 9 months * 1 year/12 months = .75 year

Substituting into the equation

A = 300(1 + .04*.75)

  =300 (1+.03)

  =300(1.03)

   = 309

4 0
3 years ago
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