If f(x) = 2 - x, express 2f(a) + f(2a) in simplest form.

If F(x) = 2 - X, Express 2f(a) + F(2a) In Simplest Form.

Answers

Answer 1

Answer:

6 - 4a

Step-by-step explanation:

From the question given,

f(x) = 2 - x

2f(a) + f(2a) =.?

First, we shall obtain f(a). This can be obtained as follow:

f(x) = 2 - x

x = a

f(a) = 2 - a

Next, we shall obtain 2f(a). This is can be obtained as follow:

f(a) = 2 - a

2f(a) = 2(2 - a)

2f(a) = 4 - 2a

Next, we shall obtain f(2a). This can be obtained as follow:

f(x) = 2 - x

x = 2a

f(2a) = 2 - 2a

Finally, we shall determine 2f(a) + f(2a) as follow:

2f(a) = 4 - 2a

f(2a) = 2 - 2a

2f(a) + f(2a) =?

2f(a) + f(2a) = (4 - 2a) + (2 - 2a)

2f(a) + f(2a) = 4 - 2a + 2 - 2a

2f(a) + f(2a) = 4 + 2 - 2a - 2a

2f(a) + f(2a) = 6 - 4a

Therefore, 2f(a) + f(2a) is equivalent to 6 - 4a


Related Questions

Which y values are represented on the the graph below?

Answers

Answer:

The value is of y is 1 . please follow me I will give u more answer

The range of the line segment will be - 3 ≤ y ≤ 3. Then the correct option is A.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

From the graph, the maximum value of the line segment will be 3 and the minimum value of the line segment will be negative 3. Then the range can be given as,

R = [-3, 3]

- 3 ≤ y ≤ 3

The range of the line segment will be - 3 ≤ y ≤ 3. Then the correct option is A.

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ2

The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with:______.
a) 5:7.
b) 6:9.
c) 33:100.
d) 21:63.

Answers

The question is incomplete. Here is the complete question

The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with this same ratio?

Answer:

21:63

Step-by-step explanation:

The ratio of the width to the rectangle is 1:3

= 1/3

= 0.333333

From the options given we have the following ratios

=5:7

= 5/7

= 0.71428

= 6:9

= 6/9

= 0.666666

= 33:100

= 33/100

= 0.33

= 21:63

= 21/63

= 0.3333333

Hence the ratio which represents the rectangle given above is 21:63

A company produces 4.56 times 10 Superscript 3 light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.36 times 10 Superscript 2 weeks?
4.5 times 10 Superscript 1 light bulbs
1.4 times 10 Superscript 5 light bulbs
4.5 times 10 Superscript 6 light bulbs
45 times 10 Superscript 6 light bulbs

Answers

Socratic said
(C) 4.5 times 10 Superscript 6 light bulbs

Answer:

4.5 times 10 Superscript 6 light bulbs

Step-by-step explanation:

I took the test (:

Can you help me understand all this...


1.1,-0.1,-1.3,-2.5,-3.7,-4.9,-6.1,-7.3

Answers

Answer:

Su diferencia es -1.2

Step-by-step explanation:

Analizando la jerarquía de los números esta va de ascendente (mayor) a decendente (menor).

Como se puede ver tu primer número es 1.1 y el que le sigue es -0.1, ahí se podría hacer la primera ecuación que es una resta de números 1.1-0.1=1.2. Vamos a retomar el segundo valor y poner el resultado que nos dio al principio (recordando la ley de los signos:negativo más negativo, pues se suman pero el signo negativo estará presente ahí), para tener sentido aquí hay una explicación.

-0.1-1.2=-1.3 y lo mismo hacemos -1.3-1.2=-2.5

Write the expression in the standard form a+b i
(8-8i) + (1+6i )= (simplify the answer)

Answers

Answer:

Step-by-step explanation:

(8 - 8i) + (1 + 6i)

8 + 1 - 8i + 6i

9 - 2i

Find
-/16. (4 points)
a
-4
ob
4
Ос
+4
Od
-8

Answers

Answer:

4i

Step-by-step explanation:

I hope its not too complicated

[tex]\sqrt{-16} \\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}\\\\\sqrt{-16}=\sqrt{-1}\sqrt{16}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\=\sqrt{16}i\\\\\sqrt{16}=4\\\\=4i[/tex]

The Lions won 35 out of 40 games this season. What fraction of the games did the Lions win?Write your answer in simplest form.___________________________________

Answers

Answer:

7/8

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

Divide common factors from both the numerator and denominator. Divide 5 from both top and bottom:

(35/40)/(5/5) = 7/8

7/8 is your answer.

~

please solve this question..​

Answers

Answer:

vertex = (- 1, - 4.5 )

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{2}[/tex] (x - 2)(x + 4)

The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.

To find the zeros let f(x) = 0, that is

[tex]\frac{1}{2}[/tex] (x - 2)(x + 4) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 4 = 0 ⇒ x = - 4

The x- coordinate of the vertex is therefore

x = [tex]\frac{-4+2}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

Substitute x = - 1 into f(x) for corresponding y- coordinate

f(- 1) = [tex]\frac{1}{2}[/tex] (- 1 - 2)(- 1 + 4) = [tex]\frac{1}{2}[/tex] × - 3 × 3 = 0.5 × - 9 = - 4.5

Coordinates of vertex = (- 1, - 4.5 )

NEED HELP ASAP WILL GIVE BRAINLY AWARD

Answers

To find the area of the larger figure, let's multiply the length by the width.

9 ft * 4 ft = 36ft^2

Let's do the same thing with the smaller figure.

3 ft * 4 ft = 12ft^2

Let's add the area of both figures together.

36ft^2 + 12ft^2 = 48ft^2

At least one of the numbers must be 0.

1. none
2. Hypothesis
3. Conclusion

Answers

Answer:

The answer is 1.) None

Step-by-step explanation:

Hope this helps you :)

calculate the M.A.D WILL BRAINLIST​

Answers

Answer:

24/760/7

Step-by-step explanation:

For the first dataset ...

  d1 = {20, 22, 24, 28, 29, 29, 30}

The deviations from the mean of 26 are ...

  d1 -mean(d1) = {-6, -4, -2, 2, 3, 3, 4}

so the total of the absolute values of these is 24. Since there are 7 numbers, the mean of the absolute deviations is ...

  mad = 24/7

__

For the second dataset ...

  d2 = {12, 15, 21, 30, 33, 35, 36}

The deviations from the mean of 26 are ...

  d2 -mean(d2) = {-14, -11, -5, 4, 7, 9, 10}

so the total of the absolute values of these is 60. Again, there are 7 numbers, so the mean of the absolute deviations is ...

  mad = 60/7

i will give u brainlyist plz When 1/3 is written as a repeating decimal, which digits are repeating? A. 27 B. 37 C. 73 D. 28

Answers

Answer:

1/3 in decimal format is .333333333333... so none of these are correct

A number n minus 10 is no more than 25.

Answers

Answer: n - 10 ≤ 25

Step-by-step explanation:

Jamie has 175 in her savings account every year 75 is added to her account tanner has 50 in his savings account every year 100 is added to his account and how many do you have a

Answers

Hi! The answer seems to be incomplete; however, I will try my best to help.

For Jamie, the equation will be:

175 + 75(x)

For Tanner, the equation will be:

50 + 100(x)

I am assuming that whoever has the most money after the amount of years is the correct answer, but I do not know the years they do this to give you a complete answer.

Hope I helped!

* x is how many years she adds money

A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a period of three months.) The increase in production can be modeled by the equation y = x6 − 25x4 + 199x2, where x is the number of quarters. What is the minimum duration required for the company to reach a production capacity of 4,975 units?

Answers

Answer:

  5 months

Step-by-step explanation:

We assume that y represents production capacity, rather than increase in production capacity. Then we want to solve the 6th-degree equation ...

  x^6 -25x^4 +199x^2 -4975 = 0

This can be factored in groups as ...

  x^4(x^2 -25) + 199(x^2 -25) = 0

  (x^4 +199)(x^2 -25) = 0

This has 4 complex solutions and 2 real solutions.

  x^2 = 25

  x = ±5

The duration required for capacity to reach 4975 units is 5 months.

An angle measuring 3.6 radians is drawn in standard position?
In what quadrant will the terminal side of this angle lie?
Express your answer as a Roman numeral.

Answers

Answer:

III

Step-by-step explanation: I just took the quiz

Look at the table showing prices of different items at a grocery store.
Items for Sale
Watermelons
$14.97 for 3
Boxes of Cereal
$15.80 for 4
Bags of Pretzels
$10.77 for 3
Ice Cream
$18.36 for 4
Which items cost less than $3.99 per item?
O boxes of cereal and bags of pretzels
O ice cream and watermelons
O bags of pretzels and watermelons
watermelons and boxes of cereal

Answers

Answer:

boxes of cereal and bags of pretzels

Step-by-step explanation:

I just took the test :)

Answer:

A Box of cereal and pretzels

Step-by-step explanation:

The unit price for each is under 3.99 per item.

1. Evaluate the following:
a) 249 =
b) - 100
c) 10 + 7169

Answers

Answer:

a) 249 = 249 or 2.49 × 10²

b) - 100 = - (10)²

c) 10 + 7169 = 7179

Step-by-step explanation:

6x+3=38-x
help please

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]6x+3=38-x[/tex]

Subtract 3 from both sides:

[tex]6x+3-3=38-x-3[/tex]

[tex]6x=-x+35[/tex]

Add x to both sides:

[tex]6x+x=-x+35+x[/tex]

[tex]7x=35[/tex]

Divide 7 on both sides:

[tex]\frac{7x}{7}=\frac{35}{7}[/tex]

[tex]x=5[/tex]

Which subset does 22 belong in

Answers

whole numbers, rational numbers and integers

solve for x
[tex] - 6x + 14 = 32 - 4x[/tex]
how do I solve​

Answers

do you want to answer or how to solve

Answer:

x = -9

Step-by-step explanation:

add 4x to both sides of the equal sign so then you'd have -2x + 14 = 32

then subtract 14 from both sides to where you have -2x = 18

then divide both sides by -2 and get x= -9

the number of hours you work in a week.​

Answers

Answer:56 hours a week is what you have to work 8 hours a day 7 days a week

write two and six hundreds nineteen thousandths in decimal.​

Answers

Answer:

Easy .2619

Step-by-step explanation:

hope it helped

I got “.2619” as the answer

Researchers randomly divide participants into groups. Each group takes a different amount of omega-3 fatty acid supplements daily for a month. One group receives a placebo. The researchers measure the impact on cholesterol levels in the blood. What is the purpose of random assignment in this experiment

Answers

Answer:

To increase the accuracy of the research results and prevent skewness in the data

Step-by-step explanation:

Random assignment is a measure taken in experiments to ensure that there is no pattern in the qualities of individuals chosen for the study. This would ensure that any results obtained from the experiment can be rightly attributed to the research treatments and not to any other factor. It helps to eliminate bias in choosing the participants of the study. The researcher randomly assigns subjects to the treatment and control groups.

In the experiment described above, random assignment is necessary as it would ensure that participants do not have shared characteristics which could be a possible cause of the results obtained from the study and not the omega-3 fatty acid supplements administered.

a deer stands cast a shadow 15 feet long at the same time that a 4-foot-tall casts a shadow that is 6feet long. how tall is the deer stand

Answers

Answer:

10 feet

Step-by-step explanation:

i took the test

Using this linear inequality: 10C + 4 > 2C

Explain how to solve the inequality use both English and Math Sentences in your explanation, and how complete your explanation is.

Answers

Answer:

C > –½

Step-by-step explanation:

10C + 4 > 2C

The above inequality can be solved as follow:

10C + 4 > 2C

Collect like terms

4 > 2C – 10C

4 > – 8C

Divide both side by –8

Note: the inequality sign will change since we are dividing by a negative value.

4/ –8 < –8C/ –8

– ½ < C

Thus,

C > –½

Solve | | 2x + 5 | – 3 | = 8

Answers

The answer is X=-2,7 . Also u can use Socratic for answers

2x-2 ???????????????????????????????????????????????????

Answers

-4 also chill on the question marks LOL

The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 114.
What are their ages?

Answers

x = Edna's age

x + 1 = Ellie's age

x + 2 = Elsa's age

the sum of their ages = 114

Let's set all of their ages equal to 114

x + x + 1 + x + 2 = 114

Combine like terms

3x + 3 = 114

Subtract 3 from both sides

3x = 111

Divide both sides by 3

x = 37

Edna's age = x = 37 years old

Ellie's age = x + 1 = 37 + 1 = 38 years old

Elsa's age = x + 2 = 37 + 2 = 39 years old

A coffee stand sells cups of coffee for $6 and cups of tea for $3. Tuesday a total of 75 cups were sold and the total money collected was $312. How many cups of coffee and how many cups of tea were sold

Answers

Answer:

46 Teas and 29 Coffees

Step-by-step explanation:

46×3= 138

29×6= 174

174+138=312

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