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3 years ago

Given f(x) = 1/3(4 - x)2,what is the value of f(16)?

Mathematics

2 answers:

SpyIntel [72]3 years ago

7 0

Answer:

f(16)= -8

Step-by-step explanation:

f(16)= 1/3(4-16)2

Tresset [83]3 years ago

4 0

Answer:

-8

Step-by-step explanation:

To answer this question, you must plug in the given 16 to the equation

f(16)= 1/3(4-16)2

f(16)= 1/3(-12)2

f(16)= 1/3(-24)

f(16)= -8

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find the lenght of the poster board is 2 feet and the width is 1 whats the serea of the board of the poster

rusak2 [61]

2 square feet is the answer

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3 years ago

Please help me!!!!! Its exponents!

Vlad [161]

Answer:

Please check the answer below.

Step-by-step explanation:

Considering the statement

$2^?$

If $?$ is an whole number.

Set of whole number = {0, 1, 2, 3, ....}

Example 1:

When statement is always true:

For x > 0, the statement will be always be true.

Lets put x = 1

$2^1$

2 < 3

So, the statement is true when x = 1

Example 2:

When statement is always true:

For x > 0, the statement will be always be true.

Lets put x = 2

$2^2$

4 < 9

So, the statement is true when x = 2

Example 3:

When statement is Never true:

For x = 0, the statement will never be true.

Lets put x = 0

$2^0$

$\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0$

$2^0=1, 3^0=1$

So,

$1$

Therefore, the statement is False.

Keywords: exponential number, whole number

Learn more about exponential number from brainly.com/question/3141841

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6 0

3 years ago

Ann invested $61,000 into two accounts. The first account pays an annual interest rate of 5% and the second account pays an annu

sp2606 [1]

Answer:

2nd Account has $19,000

1st Account has $42,000

Step-by-step explanation:

First let's split the money invested.

x is money in account 1

y is money in account 2

1st equation

$61,000=x+y

5%=0.05

7%=0.07

2nd equation

0.05*x+0.07*y=$3,430

x=61,000-y

substitute into 2nd equation

0.05(61,000-y)+0.07y=3430

Solve.

3050-0.05y+0.07y=3430

0.02y=3430-3050

0.02y=380

y=380/0.02

y=$19,000

There are 2(two) ways to solve for the 1st account, but I will do it the long way.

y=61,000-x

substitute into 2nd equation

0.07(61,000-x)+0.05x=3430

Solve.

4270-0.07x+0.05x=3430

-0.02x=3430-4270

-0.02x=-840

x=-840/-0.02

x=$42,000

The short way...

x=61,000-y

x=61,000-19,000

x=$42,000

4 0

3 years ago

Help ASAP please I am desperate

snow_lady [41]

Answer:

I think the first one is 18 and I think the second one is the 3rd one

7 0

3 years ago

The height of an object off the ground, h (in feet) t seconds after it is launched into the air is given by

creativ13 [48]

The average rate of change of h over the interval is -48 feet per second.

Given,

The height of an object off the ground, h (in feet) t seconds after it is launched into the air is given by

h(t) = −16t2 + 96t, 0 ≤ t ≤ 6.

We need to find the average rate of change of h over the interval [3, 6].

<h3>How do we find the average rate of change of a function over an interval?</h3>

If we have an interval [a, b] and a function f(x).

The rate of change is given by:

= f(b) - f(a) / b - a

We have,

h(t) = −16t² + 96t and [3, 6].

h(6) = -16 x 6² + 96 x 6 = -576 + 576 = 0

h(3) = -16 x 3² + 96 x 3 = -144 + 288 = 144

The average rate of change of h is:

= h(6) - h(3) / 6 - 3

= 0 - 144 / 3

= -144 / 3

= -48

Thus the average rate of change of h over the interval is -48 feet per second.

Learn more about the average rate of change here:

brainly.com/question/23780823

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3 0

1 year ago