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

Answer: n - 10 ≤ 25

Step-by-step explanation:

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]

Answer:

a) 249 = 249 or 2.49 × 10²

b) - 100 = - (10)²

c) 10 + 7169 = 7179

Step-by-step explanation:

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

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.

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 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

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

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.

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

Answer:

10 feet

Step-by-step explanation:

i took the test

Answer:

III

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

Answer:

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

Answer:

4.5 times 10 Superscript 6 light bulbs

Step-by-step explanation:

I took the test (:

Answer:

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

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.

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

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 )

Answer:

Easy .2619

Step-by-step explanation:

hope it helped

Answer:

46 Teas and 29 Coffees

Step-by-step explanation:

46×3= 138

29×6= 174

174+138=312

Answer:

The answer is 1.) None

Step-by-step explanation:

Hope this helps you :)

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.

~

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

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.

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

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]

Answer:

Step-by-step explanation:

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

8 + 1 - 8i + 6i

9 - 2i