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worty [1.4K]
3 years ago
13

Use the function below to find f(4).

Mathematics
2 answers:
Aleks04 [339]3 years ago
8 0
F(x) = 1/3 * 4^x.......f(4)....so we sub in 4 for x
f(4) = 1/3 * 4^4
f(4) = 1/3 * 256
f(4) = 256/3 <===
Jlenok [28]3 years ago
3 0

Answer:  The correct option is (C) \dfrac{256}{3}.

Step-by-step explanation:  The given function is

f(x)=\dfrac{1}{3}\times 4^x.

We are to find the value of f(4).

To find the value of f(4), we need to substitute the value of x as 4 in the given definition of function f(x).

Substituting x = 4 in f(x), we have

f(4)=\dfrac{1}{3}\times 4^4=\dfrac{1}{3}\times 256=\dfrac{256}{3}.

Therefore, the value of f(4) is \dfrac{256}{3}.

Option (C) is correct.

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Yuki888 [10]
C due to the fact that it is C and C is the correct answer
5 0
4 years ago
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What is the equation of a line going through points (-15,70) and (5,10)
andrey2020 [161]
Simple....

you have:

(-15,70) and (5,10)

Using-->>

\frac{  y_{1} -y_{2} }{ x_{1}-  x_{2} }

\frac{70-10}{-15-5} = \frac{60}{-20} = -3

Using y=mx+b...and any of the coordinates....

70= -3(-15)+b

70=45+b

70=45+b
-45  -45

25=b

y=-3x+25

Thus,your answer.

8 0
3 years ago
Is (1,3) a solution of the graphed inequality, y=5/2x-3?
Viefleur [7K]

Answer:

Yes

Step-by-step Explanation:

The image below shows proof that the point (1,3) is part of the inequality y>5/2x-3

Hope this helps! :)

4 0
3 years ago
Explain the
Ivenika [448]

Answer:

a2=12 (the second term of the sequence is 12)

Step-by-step explanation:

a5=324

If the term to term rule is multiply by any number, we deal with geometrical sequence

The formula you should use is an= a1*r^(n-1)  where n is the number of the term which we know. In our case we know

a5, so use 5 instead of n

Then you have a5=a1*r^4 where r is the number 3 (because each next term is greater than previous in 3 times)

a5=324

324= a1*3^4

324=a1*81

a1=4 (We find the first term of sequence, because having it you can easily search for every term )

Return to the formula an= a1*r^n-1

Now search for the second term using 2 instead of n in the formula

a2= a1*r^1

a2=a1*r, a1=4, r=3

a2=4*3=12

7 0
3 years ago
Select the correct answer. The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of
Marianna [84]

Answer: The correct answer is C: 6x² + x - 26 = 0

Step-by-step explanation: All the variables in the question have been identified, that is, the area, the height and the base of the triangle. The area of a triangle is defined as

Area = ½ x B x H

Area = 13,

Base = B and

Height = 6B + 1

The question states that the height is 1 more than 6 times it's base. Hence the height would be, Base x 6, plus 1, that is, 6B + 1

The area can now be expressed properly as follows,

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By cross multiplication we now have

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Subtract 26 from both sides of the equation

6B² + B - 26 = 0

However, the answer uses x as the unknown variable. So if you use x as the base of the triangle instead of B, your answer would result in

6x² + x - 26 = 0

8 0
3 years ago
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