Preform the indicated operations and simplify the result. Leave the numerator and denominar in the result in factored form.

The function g( x ) is translated to the left by 9 units and down by 5 units.

Given data ,

Let the first function be represented as f ( x )

where the value of f ( x ) = | x |

Let the translated function be g ( x )

where the value of g ( x ) = | x + 9 | - 5

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

On translating to the left , f ( x + a )

So , the function f ( x ) is translated 9 units to the left by f ( x + 9 ) = | x + 9 |

Now , when the function is translated 5 units down , f ( x ) - 5

So , the translated function is g ( x ) = | x + 9 | - 5

Hence , the function is translated to the left by 9 and up by 5 units.

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one jump=0.45cm

that means 0.45*93

=41.85

Answer:

bowl of colorful marbels

Step-by-step explanation:

bowl+marbels

Answer:

2 times faster than Sasha

Step-by-step explanation:

Because it is 15 miles and it doesn't matter how fast Sasha walks its just that times 2.5 which in this case gets us 2 times faster assuming that Sasha is walking 5 miles an hour.

Robert's speed if they meet after 2.5 hours is 4.8 mph as calculated below.

Since the perimeter of the marsh is 15 miles, and Robert and Sasha meet after 2.5 hours, they each walked 15 / 2.5 = 6 miles in that time.

Since Robert walks twice as fast as Sasha, Sasha walked 6 miles while Robert walked 2 * 6 = 12 miles.

Therefore, Robert's speed is 12 miles / 2.5 hours = 4.8 mph.

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Answer:

15 miles

Step-by-step explanation:

Speed of John biking = 10 miles per hour

Time taken by John to travel the route = 1.5 hours

We know that

distance = speed * time

now that we know time and speed for John

we can distance by using the above formula

distance = 10  miles per hour* 1.5  hour = 15 Miles

Thus, the route was 15 miles long.

Answer:

15 miles

Step-by-step explanation:

Answer:3.8

Step-by-step explanation:

Here ya go! Hope this helps!! :D

Answer:

-629.88

Step-by-step explanation:

Total winnings/losses for 543 plays=Expected payoff ⋅ Number of plays=−$1.16⋅543=−$629.88

Answer:

232.96$

Step-by-step explanation:

Answer:

"If one angle is equal to 40 degrees and the other two angles are equal, what is the number of degrees in each angle? A right angle is 90°, one angle is 40°, 90° - 40° = 50°. So the remaining two angles have a total measurement of 50°. If these two angles are equal, then each of the remaining angles are 50°/2, or 25°."

Step-by-step explanation:

Excerpt from Textbook :)

The data set with the greater range is greater for girls. The median is greater for girls.

The range of a dataset is the difference between the maximum and minimum values in the set.

The median is the middle value in a sorted dataset, or the average of the two middle values if the set has an even number of elements.

To determine which dataset has a greater range, you need to compare the difference between the highest and lowest values of the two datasets.

To determine which dataset has a larger median, you need to sort the datasets and find the middle value(s).

The range for boys is 60 as for girls the range is 80. The median for boys is 90 and for girl 110.

Hence, the data set with the greater range is greater for girls. The median is greater for girls.

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An interpretation of the relationship between the variables in this graph is that: C. you leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally, you continue at a slower (but constant) speed than before.

A graph can be defined as a type of chart which is used to graphically represent the relationship between the variables in a data set, on both the horizontal and vertical lines of a cartesian coordinate i.e x-axis and y-axis.

By critically observing the graph attached in the image below, we can infer and logically deduce that an interpretation of the relationship between the variables in this graph is that you drove at a constant speed for 2 hours, and then stopped for 1 hour. Finally, you continued at a slower, but constant speed than before.

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Answer: D

Step-by-step explanation:

Hope it helps

Answer:

A. 6 i think sorry if it's wrong

Answer:2.25

Step-by-step explanation:

If the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

It is given that,

Length of road = 9 miles

From the condition,

Mai ran 1/4 of the length of her road

Mai ran =  1/4 × length of her road

Mai ran =  1/4 × 9

Mai ran =  2.25 miles.

Thus, if the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.

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Volume of the cylinder =  6838.92 cubic inches

We have to given that;

Sam needs to fill a cylindrical container with punch.

And, The container has a radius of 11 inches and a height of 18 inches.

Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.

Volume of a cylinder = πr²h

Where,

r=radius

h= height

Then,

π=22/7 or 3.14 (constant value)

r=11 inches

h=18 inches

Volume of a cylinder is,

= 3.14 × (11)² × 18

= 6838.92 cubic inches

Hence, Volume of the cylinder =  6838.92 cubic inches

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Answer:

\(54\)

Step-by-step explanation:

Formula for average A of two numbers m and n is:

\(A=\frac{m+n}{2}\)

Substitute the value m=36 and n=72

\(A=\frac{36+72}{2}\)

This is equivalent to:

\(A=\frac{108}{2}\)

The average is:

\(A=54\)

Answer:

y=7x²−42x+67

There is a graph below to help you out

Answer:

Step-by-step explanation:

The range of a data set is the difference between the greatest area and the smallest area, then for the Eastern and Western respectively:

Then, find the difference between the range for the cities in the west and the cities in the east;

The domain and range are the set of all real numbers, so:

Domain: x ∈ R

Range: x ∈ R

Thus, the correct option is  the second one

For any function y = f(x), we define the domain as the set of the possible values of x (the ones on the horizontal axis) and the range is the set of the possible values of y (vertical axis).

In this case, we have a linear equation (you can see that the lines extend to the bottom left and the top right)

So both domain and range are the sets of all real numbers.

Thus, the correct option is  the second one.

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The total value of the exponential expression is a³

What is Exponentiation ?

Exponentiation is a mathematical operation that involves the base number (b) and the exponent (or power) number (n), and is represented as bⁿ. Its pronunciation is "b (raised) to the (power of) n." Exponentiation corresponds to repeated base multiplication where n is a positive integer; so, bⁿ is the result of multiplying n bases.

Now, The given expression is :

a^3 (2a^2 + 4bc^4)^ 0

From the properties of exponents we know that:

a⁰ = 1

Therefore the value of the part of the expression (2a² + 4bc⁴)⁰ is 1

Hence,  The total value of the exponential expression is a³

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Answer:

222

Step-by-step explanation:

What I did was calculate the area of each sides of the triangular prism.

For the two triangles:

1/2(6x5)=15 (for 1 triangle, notice there are 2 so -> 30)

For the 2 rectangles:

5x12=60 x2 = 120

For the base:

6x12=72

Add all them together we get 222

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

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Answer:

i think its

\(P(x) = i ^{3}\)

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

To solve this question, we can convert the fraction into decimal form momentarily, so that 5 1/2 is now 5.5, and 3 1/2 is now 3.5. We know that Sara has already driven 3.5 hours, and it takes 5.5 to get to her aunts house. To dins how much longer Sara has left to drive, simply subtract the total amount of hours by the hours already completed:

5.5 - 3.5 = 2.0

Meaning, Sara has 2 hours left to drive

Hope this helps :)

Answer:

-1 is the first one to the left of the 0

-5 is the 5th one to the left of the 0

2 is the 2nd one to the right of the 0

4 is the 4th one to the right of the 0

Step-by-step explanation:

hope this helped!

it would be cool if you gave me the brainliest.

Answer:

162

Step-by-step explanation:

to find the surface area of the rectangles do base x height

5 x 10 = 50

there are 3 sides on a triangle so do 50 x 3 = 150

now we need to find the area of the triangles

the formula for the surface area would be base x height ÷ 2

3 x 4 = 12

12 ÷ 2 is 6

because there are 2 triangles you would need to multiply it by 2

6 x 2 is 12

add it all together

12 + 150 is 162