What is the domain and range for first graph

Answer: g(-6)=15

Step-by-step explanation:

The range of the average cost function of a cell phone that has an initial and monthly costs $400 and $50 is r:(50, 400)

Initial price for the cell phone = $400

Charges per month after purchase = $50

The rational function representing the average monthly cost = c(t)

Required; The range of the average monthly cost function, c(t)

Solution:

The total cost of owning the cell phone, C, is therefore;

Where;

∆t = The number of months after purchase

The average monthly cost is therefore;

[tex]c(t) = \frac{C}{ \Delta t} [/tex]

At ∆t ≈ 0, we have;

C ≈ 400

The cost for the month at ∆t ≈ 0, is therefore, c(t) = $400

At ∆t ≈ ∞, we have;

Therefore;

[tex] \lim\limits_{∆t→∞} c(t) = \frac{400+ 50× ∆t}{ ∆t} ≈ 50[/tex]

Which gives;

The range of c(t) is (50, 400)

The correct option is therefore;

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There is a translation of 3 units to the right and 4 units upwards to translate ABCD into A'B'C'D',  then the correct option is C.

"Shifted 3 units right and 4 units up"

Let's just compare one of the vertices to identify the translation applied.

We can see that the coordinates of vertice A are (2, 3).

While the coordinates of the vertice A' are (5, 7)

If we take the difference between these two coordinate pairs, we will et

A' - A = (5, 7) - (2, 3)

Remember that this difference is computed component to component, so we have:

(5, 7) - (2, 3) = (5 - 2, 7 - 3) = (3, 4)

From this we can conclude that we hade a translation of 3 units to the right and 4 units upwards to translate ABCD into A'B'C'D',  then the correct option is C.

"Shifted 3 units right and 4 units up"

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Answer:750 milliliters

Step-by-step explanation:

2.5 liters=2500 milli

5*350=1750 milli

2000-1750=750 milli

Answer:

it's true, not false.

Step-by-step explanation:

it's true, not false.

The value of X is 3.4

Disclaimer:

We will consider arithmetic mean in this case as which mean is not mentioned.

The total number of terms are 5

thus, arithmetic mean= 6

            6= (2+8+9+7.6+x)/5

      30 = 26.6+x

x=30-26.6=3.4

Thus the value of X is 3.4

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Main Answer:x= 3.4

Concept and definitions should be there

The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.

To calculate it:

• add up all the numbers,

• then divide by how many numbers there are.

Given data

the value of x 2,8,9,7.6,x the mean is 6

Solving part

As we know that

mean =(sum of the terms)/(Number of terms)

By substituting the values, we get

6=(2+8+9+7.6+x)/5

30= x+26.6

x= 30-26.6

x= 3.4

Final Answer: Thusx= 3.4 is the correct answer.

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Answer:

[tex] \sf \large \: \frac{ - 263}{4} [/tex]

Step-by-step explanation:

5(9/12−14)+0.5

=5(3/4−14)+0.5

=5(−53/4)+0.5

=−265/4+0.5

=−263/4

The number of miles that they traveled when San Diego fell asleep will be 176 miles.

It should be noted that from the information, San Diego's family took a road trip to Mount Rushmore and San Diego fell asleep 44% of the way through the trip.

In this case, the total length of the trip was 400 miles.

Therefore, the number of miles that they traveled when he fell asleep will be:

= Percentage × Total miles

= 44% × 400

= 0.44 × 400

= 176 mile

Therefore, the number of miles that they traveled when San Diego fell asleep will be 176 miles.

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35, ∠2 and ∠4 are alternate interior angles, so m∠2 = m∠4.

What is alternate interior angles?

Given

           m∠4=35

From the image given, angle 2 and angle 4 lie on opposite side of the line that intercepts the two parallel lines, AB and CD. Angle 2 and angle 4 both lie within the parallel lines.

Therefore, ∠2 and ∠4  are alternate interior angles.

Thus,

m ∠2 = m∠4 (alternate interior angles theorem)

since m∠4 = 35°

therefore m∠2 = 35°

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Answer:

I may have mixed up the meaning of the variables...

Step-by-step explanation:

Every additional 1 card sold, price decrease $0.05 Known point, (6, 280). x is price, p is ... number of cards sold.

The equivalent choice of √7x √x+2 is x√7 + 2√7x

The product expression is given as:

√7x √x+2

Rewrite as:

√7x * (√x + 2)

Expand the bracket

√7x^2 + 2√7x

Take the square root of x^2

So, we have

x√7 + 2√7x

Hence, the equivalent choice of √7x √x+2 is x√7 + 2√7x

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The actual kitchen measures 18m in width.

• In mathematics, the unitary method is used to find the necessary value by first determining the value of a single unit and then multiplying the number by the single unit value.

• For example, if a car travels 60 kilometers on three litres of gasoline, we can calculate the number of kilometers traveled on one litre of gasoline using the unitary method.

We are given that Luther drew a scale drawing of an Italian restaurant. He used a scale on which 1 millimetre equals 6 meters. We need to find the width of the kitchen if in the drawing it is 3 mm wide.

So,

1mm = 6m

3 mm =?

3 mm = 6*3

3 mm = 18 m

The actual width of the kitchen is 18 m.

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Answer:

x = 17

Step-by-step explanation

the two interior angles add up to the exterior.

False

• Systematic Sampling is a probability sampling method where people or researchers select members of the population in a regular interval.

• For example, by selecting  every 17th person on the list of the population. If the population is in the random order, this can imitate the benefits of random sampling.

• Systematic sampling can help in minimizing biased samples and poor survey results. If there is a low risk for manipulation of data .

• Systematic sampling introduces certain arbitrary parameters in the data. This can cause overrepresentation or underrepresentation of patterns

In systematic sampling, members from a large population are selected according to a random starting and a fixed periodic interval.

Only stratified sampling, where the population is divided into several data, guarantees the member of each group within a population will be sampled.

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Answer:

The number is divisible by 3.

Step-by-step explanation:

The conclusion is what a conditional statement ends with.

Answer:  x = 12

Step-by-step explanation:

1) Convert mixed numbers into improper fractions: [tex]21\frac{2}{3} =\frac{21*3+2}{3} =\frac{65}{3}[/tex]

New equation written as: [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{65}{3}+\frac{7}{3}[/tex]

2) [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{65+7}{3}[/tex]

3) Add the numbers 65 + 7 = 72: [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{72}{3}[/tex]

4) Divide 72/3 = 24: [tex]\frac{5}{3}x+\frac{1}{3}x=24[/tex]

5) Multiply both sides by 3. Note: * = multiply: [tex]\frac{5}{3}x*3+\frac{1}{3}x*3=24*3[/tex]

6) Simplify: 6x = 72

7) Divide both sides by 6: [tex]\frac{6x}{6}=\frac{72}{6}[/tex]

x = 12

The lake's current water is dropped ( 55 / 3 ) feet below the normal water level.

A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.

Let x be the normal water level of the lake.

At the beginning of the fall, the level of water of the lake is [tex]11\frac{1}{3}[/tex] feet below the water level.

So, the change in water level [tex]-11\frac{1}{3}[/tex].

Then, the water level of the lake dropped [tex]7\frac{2}{3}[/tex] feet after the drought.

Again, the change in water level will be [tex]-7\frac{2}{3}[/tex].

Hence, the total change in water level will be:

[tex]=-11\frac{1}{3}-7\frac{2}{3}[/tex]

= ( - 33 + 1 ) / 3 - ( 21 + 2 ) / 3

= ( - 32 / 3 ) - ( 23 / 3 )

= ( - 55 / 3 )

Therefore, the lake's water level dropped ( 55 / 3 ) feet below the normal water level.

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The desired inequalities are given as follows:

A. A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.

B. D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.

For graph A, as nothing is plotted on the line, we have a inequality with no solution.

The successor of a number(number plus 1), will always be greater than the number, hence the inequality that has no solution is:

A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.

For graph B, as the entire line is plotted, we have a inequality with all real values as solution.

From the same logic above, of the successor, the correct option is:

D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.

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Answer:

C m > 5 or m < -19

Step-by-step explanation:

i took the test

Answer:

(-5,5) and (0,-0.1) , solutions to the equation

(5,5) and (10,5) ...not solution to the inequality

Step-by-step explanation:

5,5) and (0,-0.1) ,,,they are solutions to the inequality since they lie in the required region (unshaded region)

(5,5) and (10,5) ,,,they lie in the shaded region which is the required region hence not among the required points.

Answer:

2x^2 + 8x

Step-by-step explanation:

Area of triangle: base x height / 2

So: 2x(2x+8)/2

We cancel 2 so:

x(2x+8)

then = 2x^2 + 8x

Answer: the answer would be all real numbers

Step-by-step explanation:

I got it right on the test

We're given:

The first term is 1. It appears that, to get each consecutive term, we have to multiply the previous term by -3.

Therefore, to get each the next two terms, we have to multiply the previous term by -3.

Therefore, to get each the next two terms, we have to multiply the previous term by -3.

========================================================

Explanation:

15 - 2.5x is the same as 15 + (-2.5)x

Then we can swap the terms to get -2.5x+15

Therefore, the original equation is the same as -2.5x+15 = 40

To solve this equation, we follow PEMDAS in reverse. So instead of starting with the "P", we start with the "S". There's no subtraction operations to undo, so we move onto the "A". There is an additional operation to undo, which is the +15

To undo the +15, we subtract 15 from both sides

-2.5x+15 = 40

-2.5x+15-15 = 40-15

-2.5x = 25

The next step after this would be to divide both sides by -2.5 to undo the multiplication. The -2.5x means "-2.5 times x".

Answer:

2

Step-by-step explanation:

MAD stands for mean absolute deviation.
The larger the MAD, the more spread out the data set is.

This means that Jason’s grades must vary more.

Answer: 98.9°

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180 degrees.

=180-81.1

=98.9°