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klasskru [66]
3 years ago
11

F(x)=a^x which of the following expressions is equal to f(3) * f(4) f(3^4) f(3+4) F(3*4)

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0

Answer:

option 2

f(3+4)

Step-by-step explanation:

To understand this problem, what we can do is solve and compare with the results they give us.

f(x)=a^x           f(3) * f(4)

f(3) = a^(3)      f(4) = a^(4)

we replace

f(3) * f(4) = a^3 * a^4

as they are powers of the same base

f(3) * f(4) = a^(3+4)

f(3) * f(4) = a^7

Now let's do it with the options they give us

1.   f(3^4)      f(x)=a^x

3^4 = 81     x = 81

f(81) = a^81    wrong option

2.   f(3+4)      f(x)=a^x

3+4 = 7     x = 7

f(7) = a^7       correct option

3.   f(3*4)      f(x)=a^x

3*4 = 12     x = 12

f(12) = a^12      wrong option

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Pavlova-9 [17]
First we look for the area of the triangle which is given by:
 A = (1/2) * (4) * (6)
 A = 12 feet ^ 2
 Area of the rectangles:
 Rectangle 1:
 R1 = (4) * (8)
 R1 = 32 feet ^ 2
 Rectangle 2:
 R2 = (6) * (8)
 R2 = 48 feet ^ 2
 Rectangle 3:
 R3 = (root (6 ^ 2 + 4 ^ 2)) * (8))
 R3 = 57,68882041 feet ^ 2
 The total area will be:
 A = 2A + R1 + R2 + R3
 Substituting values:
 A = 2 * (12) + 32 + 48 + 57,68882041
 A = 161.6888204 feet ^ 2
 Answer:
 
The total area of the prism is:
 
A = 161.6888204 feet ^ 2
6 0
2 years ago
What is the answer to thiss
lana [24]

Hi Student!

This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression.  So let's plug in the values and solve.

<u>Plug in the values</u>

  • m^2 + 5
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<u>Factor out the exponent</u>

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<u>Combine</u>

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Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.

5 0
2 years ago
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zysi [14]

Answer:

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We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

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Step-by-step explanation:

Given equation:

f(x) =2x - 2

g(x) =5-x

We need to find the difference of slopes and y-intercepts of the given equations.

The standard form of a slope intercept equation of line is given by:

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Writing the given equations in standard form to find slope and y-intercept.

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We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

Difference of y-intercepts of f(x)\ and\ g(x) is = -2-5=-7

We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

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Step-by-step explanation:

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