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3 years ago

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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Maria Contrerras earned $53,000 in taxable income. She figured her tax from the single taxpayer table above.

Dennis_Churaev [7]

Answer:

Tax= $ 7,173.5

Step-by-step explanation:

Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to

$ 77,100.

Tax for $ 31,850 is $ 4,386

Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over

25 % of $ 11,150= $ 2,787.5

Total Tax= $ 4386 + $ 2787.5= $ 7,173.5

Step-by-step explanation:

yes

7 0

3 years ago

Norma Jean makes $25 per hour. She works 35 hours per week. She gets a commission of 15% on her total sales. How much should Nor

TEA [102]

Answer:

$24166.67

Step-by-step explanation:

$25 per hour and works 35 hours per week

Norma Jean makes 35 * 25 (without sales) = $875

Total commission made by Norma = 4500-875 = $3625

let total number of sales by Norma be x

15% is the same as 15/100

so (15/100) * x =3625 multiplying both sides by 100

15x = 362500 making x subject of formula

x = 362500/15

x = 24 166.67

Norma should sell total items worth $24166.67

6 0

3 years ago

Read 2 more answers

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denpristay [2]

Answer:

chocolate, marshmellows, and chocolate sprinkle

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

PLEASE ANSWER CORRECTLY, I WILL GIVE BRAINLIEST <3 THANKS IN ADVANCE!

guajiro [1.7K]

Answer:

1 : 15

2: 12

3: 52

4: 27.3

Step-by-step explanation:

For #1:

if line m and n are perpendicular then they will create right angles

Right angles have a measure of 90 degrees

That being said we can find the measure of the missing angle by subtracting the measure of the known angle (75) from 90

so k = 90 - 75

90 - 75 = 15

Hence k = 15.

For #3 ( very similar to #1, only difference is the values of the angles )

so R = 90 - 38

90 - 38 = 52

Hence, R = 52

For #2 and #4

Complementary angles have a sum of 90°

So like the previous questions we can find the measure of the missing angle by subtract the measure of the given angle from 90

∠V = 90 - 78

90 - 78 = 12

Hence ∠V = 12

∠Y = 90 - 62.7

90 - 62.7 = 27.3

Hence ∠Y = 27.3

6 0

3 years ago

Two fair dice are tossed, and the up face on each die is recorded. Find the probability of observing each of the following event

Paladinen [302]

Answer:

Step-by-step explanation:

The sample space is shown in the attached photo.

Probability = number of favourable outcomes/total number of outcomes.

Looking at the diagram, the total possible outcomes is 36.

A) from the diagram, the total number of events in which the sum of the numbers is odd is 18. Therefore, the probability that the sum of the numbers is odd is

18/36 = 1/2

B) the total number of events in which the sum of the numbers is 10 or more is 6. Therefore, the probability that the sum of the numbers is 10 or more is

6/36 = 1/6

C) the total number of events in which 3 appears on each of the two dice is 1. Therefore, the probability that 3 appears on each of the two dice is

1/36

7 0

3 years ago