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Alja [10]
3 years ago
14

Find f(t – 3) for f(x) = 4x2 – 8x + 4.

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

Answer:

4t^2 - 32t + 64.

Step-by-step explanation:

f(x) = 4x2 – 8x + 4

f(t - 3) = 4(t - 3)^2 - 8(t - 3) + 4

= 4(t^2 - 6t + 9) - 8t + 24 + 4

= 4t^2 - 24t + 36 - 8t + 28

=  4t^2 - 32t + 64.

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A cone has a diameter of 12 ft and a slant height of 20 ft. Explain whether tripling both dimensions would triple the surface ar
Ratling [72]
<span>Tripling both dimensions would NOT triple the surface area.  If you triple both dimensions, then the surface area is 9 times as long as the surface area of original cone.</span>
8 0
3 years ago
Please help and explain
Murrr4er [49]

Answer: Option A

x=\frac{3+i}{2} or x=\frac{3-i}{2}

Step-by-step explanation:

Use the quadratic formula to find the zeros of the function.

For a function of the form

ax ^ 2 + bx + c = 0

The quadratic formula is:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case the function is:

2x^2-6x+5=0

So

a=2\\b=-6\\c=5

Then using the quadratic formula we have that:

x=\frac{-(-6)\±\sqrt{(-6)^2-4(2)(5)}}{2(2)}

x=\frac{6\±\sqrt{36-40}}{4}

x=\frac{6\±\sqrt{-4}}{4}

Remember that \sqrt{-1}=i

x=\frac{6\±\sqrt{4}*\sqrt{-1}}{4}

x=\frac{6\±\sqrt{4}i}{4}

x=\frac{6\±2i}{4}

x=\frac{3\±i}{2}

x=\frac{3+i}{2} or x=\frac{3-i}{2}

3 0
3 years ago
What is the difference between a rate that is compounded annually and a rate that is compounded semiannually
8090 [49]

Answer:

the rate compounded semi-annually is compounded twice in a year. thus, this rate is higher than the rate compounded annually which is compounded once in a year

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

For example, there are two banks

Bank A offers 10% rate with semi-annual compounding

Bank B offers 10% rate with annual compounding.

If you deposit $100, the amount you would have after 2 years in each bank is

A = 100x (1 + 0.1/2)^4 = 121.55

B = 100 x (1 + 0.1)^2 = 121

The interest in bank a is 0.55 higher than that in bank B

3 0
3 years ago
The price of an item yesterday was $180. Today, the price rose to $279. Find the percentage increase.
olga55 [171]

Answer: 55%

1. 279 - 180 = 99

2. 99 divided by 180 = 0.55

3. 0.55 x 100 is 55.

55 is the percentage

3 0
3 years ago
Read 2 more answers
What is the value of x?
RSB [31]

An exterior angle equals the sum of the remote interior angles .

So


x + 60 = 95

x = 95 - 60

x = 35


Answer

B. 35

7 0
3 years ago
Read 2 more answers
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