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dimulka [17.4K]
3 years ago
14

H(t)=-16t^{2}+100t+10 find the domain and range. please

Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer:

Step-by-step explanation:

The graph of this function is that of a parabola that opens down (due to the negative coefficient of t^2).  The axis of symmetry is

        -b          -100

x = --------- = ----------- = 50/16 = 25/8.

        2a        2(-16)

The y value of the vertex is h(25/8) = -16(25/8)^2 + 100(25/8) + 10, or 166/25.

The largest value this function can take on is 166/25.  Thus, the range is

(-infinity, 166/25).

Since the given function is a polynomial, the domain consists of all real numbers.

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In form ax+by+c=0
pav-90 [236]
I don't get you but if you transform the equation to it's standard form, it will be
3x+4y=4
First, Multiply each term by 4:
y(4)=-3x/4(4)+1(4)
4y=-12x/4+4
4y=-3x+4
Now add 3x to both sides of the equation:
4y+3x=-3x+3x+4
3x+4y=0+4
3x+4y=4
5 0
3 years ago
ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account. What
kipiarov [429]

Answer:

Ordinary annuity

Step-by-step explanation:

Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.

To find : What type of annuity is this?

Solution :

Annuity is the form of insurance in which some of the money is paid each year to secure for future.

There are two types of annuity:

Ordinary annuity - In this annuity the payment is made at the end of each period  over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.

Annuity due - is the opposite of ordinary annuity as in this the payment is made at the beginning of each period.

In the given situation the annuity is ordinary annuity because the investment is done each year for 5 years.


7 0
3 years ago
Read 2 more answers
Which answer choice below correctly represents the quotient of 846 = 35?
avanturin [10]

Answer:

where image?

Step-by-step explanation:

8 0
3 years ago
Why do scientists use percentages less than 1
olganol [36]
They use percents less than one to get the the exact number
3 0
3 years ago
I forgot how to do most of this yet they gave it to me as hw ‍♀️
svp [43]

18.

-2(-9)+3

18+3

21

Explanation: -2(-9) When multiplying numbers that have both a negative sign, the answer is positive. Multiply normally.

19.

-6(-4)0

24(0)

0

Explanation: -6(-4) As I explained before, the answer would be positive.

24(0) Every number multiplied by 0 is 0.

20.

56+(-7)

49

Explanation: 56+(-7) Any problem like this is just basically going to be 56-7.

21.

-36+(-4)

-40

Explanation: -36+(-4) You are simply adding normally then adding the sign. This will only work if the signs are the same. (Signs are positive and negative.)

   

8 0
3 years ago
Read 2 more answers
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