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trasher [3.6K]
3 years ago
13

If f(x) is an even function and f(3)=5 then what is the value of 4f(3)+2f(-3)?

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

4f(3)+2f(-3)=30

Step-by-step explanation:

We have been given that f(x) is an even function and f(3)=5. We are asked to find the value of 4f(3)+2f(-3).

Since we know that graph of an even function is symmetric with respect to y-axis. By the definition of an even function, a function f is even if and only if f(-x)=f(x) for all x in the domain of f.  

Since we have been given that f(x) is an even function, so f(3)=f(-3).

Upon substituting our given values we will get,

4f(3)+2f(-3)=4*5+2*5

4f(3)+2f(-3)=20+10

4f(3)+2f(-3)=30

Therefore, the value of 4f(3)+2f(-3) will be 30.

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Triangle STV has vertices S (-3, -2) , T (-4, 3) and V (-2, 3). If (x, y) arrow (x+2, y-3), what are the vertices of its image?
jeka94

Answer:

  see below

Step-by-step explanation:

The mapping tells you how to find the vertices of the image:

  (x, y) ⇒ (x +2, y -3)

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  V(-2, 3) ⇒ V'(-2 +2, 3 -3) = V'(0, 0)

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3 years ago
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Step-by-step explanation:

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3 years ago
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Gabriela Mistral was a poet, diplomat, teacher and humanitarian. Each week she worked a certain amount of days as a poet diploma
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Answer:

Gabriela Mistral works as a humanitarian for 8 days.

Step-by-step explanation:

Gabriela Mistral was a poet, diplomat, teacher and humanitarian such that each week she worked a certain amount of days as a poet diplomat teacher and humanitarian.

Ratio is 1:1:3:2

Let x denotes total number of days Gabriela Mistral work.

As she works 12 days as a teacher,

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Total number of days =x=28

So,

she works as a humanitarian for \frac{2}{7}x=\frac{2}{7}(28)=8 days.

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Answer:

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Step-by-step explanation:

8 1/2  blocks can also be written as 8.5 blocks.

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