Select the correct answer from each drop-down menu. The table below represents the function f, and the following graph represents the function g. x -6 -5 -4 -3 -2 -1 0 1 f(x) 8 -2 -8 -10 -8 -2 8 22 Complete the following statements. The functions f and g have . The y-intercept of f is the y-intercept of g. Over the interval [-6, -3], the average rate of change of f is the average rate of change of g.

Using translation concepts, the graph of g(x) = |x + 2| is given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that:

f(x) = |x|, h = -2, g(x) = f(x - h)

Hence, the equation of g(x) is:

g(x) = f(x + 2) = |x + 2|.

The graph is given at the end of the answer.

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Answer:

Mr brickman

Step-by-step explanation:

the frequency

Answer:

Circle

Step-by-step explanation:

because a hyper bole is (y-k) 2b2 -(x-h) 2a2=1

ellipse is = (x-h) 2a2 + (y-k) 2b2 = 1

parabola is y= a (x-h) 2+ k

that's why circle is the answer

Answer:

Eric earns around 7 dollars an hour

Step-by-step explanation:

use points given by the graph at 1 hour he earns around 7 dollars, at 2 hours he earns around 14

the slope is your income per hours so using rise over run we get 7/1 and 14/2 both give you your answer of 7 dollars an hour

Answer:

1. Right 4 units

2. Up 2 units

3. Horizontal Shrink by 2

4. Reflection across y-axis

Answer:

Radius is half the diamiter of a circle, basically the whole length from one point of the circle to the middle.

Answer:

Radius is how far the middle of the circle is from the edge of the circle.  For example, we know that a circle has a middle point and we know that we have a line around it in the shape of a circle.  The radius would be the distance from the middle point to the outer line of the circle.

The pressure at the depth of 5 meters will be 333.34 N / cm ²

Pressure is defined as the normal force acting at the per unit area of any object.

Given that:-

The pressure at the 5 m below sea level will be:-

3  m  =  200

1  m   =  200 / 3

5 m =  200/3  x   5

5m  =  333.34  N / cm²

Therefore the pressure at the depth of 5 meters will be 333.34 N / cm ²

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Answer: (I changed it back to fraction form instead of decimal because it seems that is how you are doing it)

Two possible lengths of ribbon (In inches) are 25 and 133  3/4

Step-by-step explanation

Okay, so- First, You need to find out how much ribbon is there before the two additional ones are added. Like this:

12 + 14  2/4 + 14  3/4 = 41  1/4

Next, subtract that amount from 200 to get the number of inches of ribbon that are needed to get 200 inches of ribbon. Like this:

(I changed it to a decimal to make it easier, so don't mind that)

200 - 41.25 = 158.75

So, 158.75 inches of ribbon are needed to get 200 inches. You can subtract any number less than 158.75 from that to get two seperate ribbon measurements.

(This might sound confusing so here)

For example:

158.75 - 25 = 133.75 (The bolded numbers are the two measurements)

158.75 - 65 = 93.75

So, Two possible lengths (in inches) of ribbon that kelly could have added are "25" and "133.75 "

Two possible lengths (in inches) of ribbon that kelly could have added are also "65" and "93.75"

Hope this helps! Please tell me if you have any questions!

Answer:

11%

Step-by-step explanation:

old population- 120,000

new population- 133,200

increase - 133200-120000

=13200

percentage increase:

(13200*100)/120000

=11%

Answer:

4

Step-by-step explanation:

First you have to analyze the word equations. Let x equal to Annabell's age and y equal her mother's age

3x + y = 42

6 + 6x = y

Then you use substitution to find x

3x + 6 + 6x = 42

9x = 36

x = 4

Answer:

One less zebra

Step-by-step explanation:

T        z        l

0       200   220

1         160    175       (subtract 40 from 200  and 45 from 220)

2        120    130

3         80      85

4         40  =  40      <===== lion has zebra lunch before the river is reached

Zdistance = 200 - 40s

Ldistance = 220 - 45 s            where  's' is seconds

Answer:

20

Step-by-step explanation:

Find 30% of the class
then add it

30% x 14 / 70% = 6

6 + 14 = 20 kids
Hope it helped ! Have a nice day !

we know that 14 is 70%, how much will it be for 100%? or namely the whole class?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 14 & 70\\ x& 100 \end{array} \implies \cfrac{14}{x}=\cfrac{70}{100}\implies \cfrac{14}{x}=\cfrac{7}{10} \\\\\\ 140=7x\implies \cfrac{140}{7}=x\implies 20=x[/tex]

Answer:

3 , 2.96 , 1/5 (0.2)  
3.48 , 3 , 1/4 (0.25)

Step-by-step explanation:

descending order

Answer:

  179 billion liters

Step-by-step explanation:

The variable t represents years since 2000, so in the year 2000 the value of t is zero.

When t=0, the exponential term is 1, so the value of the function is the multiplier of the exponential factor, 179.

__

Approximately 179 billion liters of soda was consumed in 2000.

Answer:

  reflection in the line y=4

Step-by-step explanation:

Triangle B is a mirror image of Triangle A. Point (-1, 4) is shared between the two figures, so is invariant in the transformation.

__

Triangle B is a reflection of Triangle A in the horizontal line y=4.

Answer:

1/6

Step-by-step explanation:

favorable over total outcomes

favorable is 6

total is 36

6/36 = 1/6

6 favorable outcomes are:

(1,6), (2,5), (3,4), (4,3), (5,2), (6,1) }

total of 36 outcomes are :

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

testbookcom

quora Praneethreddy Ravi Shetye

Answer:

B

Step-by-step explanation:

a+2d=0

a+3d=6

d=6

a=6-3(6)

a=6-18

a= -12

a+(n-1)d

= -12+(n-1)6

= -12+6n-6

= -18+6n

Answer:

[tex]A\approx43.2\:\text{m}^2[/tex]

Step-by-step explanation:

Find the missing side using Pythagoras' Theorem

[tex]a^2+b^2=c^2\\5^2+b^2=18^2\\25+b^2=324\\b^2=299\\b=\sqrt{299}\:\text{m}[/tex]

Find the area of the triangle

[tex]\displaystyle A=\frac{bh}{2}\\ \\A=\frac{5\sqrt{299}}{2}\\ \\A\approx43.2\:\text{m}^2[/tex]

Answer:

45m2

Step-by-step explanation:

i can add this if you need!!

Answer:

The surface area of a cube is 6s2 where s is the length of an edge. If 6s2 = 384, then we can solve this to fund that s = 8.

Step-by-step explanation:

Answer: 12 meters

Step-by-step explanation: 108 / 9 = 12

Answer:

12 meters

Step-by-step explanation:

108/9 is 12 meters

Inches i believe. This of course depends on the size of the wheel, but if its a wheel on a care it would be inches.

Given:

Handle

Main body

The total amount of wood needed to build the rolling pin.

[tex]\huge\boxed{\sf{Formula: \pi {r}^{2} h}}[/tex]

[tex]\huge\boxed{\sf{\red\pi \red= \red3\red.\red1\red4}}[/tex]

[tex]V = 3.14 \times {0.5}^{2} \times 4[/tex]

[tex]V = 3.14 \: {in}^{3} [/tex]

[tex]\boxed{\sf{V = 3.2 \: {in}^{3} }}[/tex]

[tex]V = 3.14 \times {1.5}^{2} \times 14[/tex]

[tex]V = 98.91 \: {in}^{3} [/tex]

[tex]\boxed{\sf{V = 99 \: {in}^{3} }}[/tex]

[tex]V = 3.2+99 [/tex]

[tex]\large\boxed{\sf{V = 102.2 \: {in}^{3} }}[/tex]

Hence, the total amount of wood needed to build the rolling pin is 102.2 cubic inches.

The volume of the copper used to make the pipe is 25.12 cm³.

To calculate the volume of the copper used to make the pipe, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the volume of the copper used to make the pipe is 25.12 cm³

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The perimeter of the larger hexagon, where the smaller hexagon is increased by a factor of 5:7 is: 84 units.

If two shapes are similar, the ratio of their perimeter equals the ratio of their respective sides.

Since the smaller hexagon is increased by a factor of 5:7, therefore:

Length of the larger hexagon = 7/5 × 10 = 14 units.

Perimeter of the larger hexagon = 6(14) = 84 units.

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Answer:

f(3) = 11

Step-by-step explanation:

Substitute x=3 into the equation so:
f(3) = 6+5

f(3) = 11

        [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

        find f(3) when f(x)=2x=5

[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

      Write 3 in lieu of x and simplify:-

                           [tex]\Large\text{f(3)=2(3)+5}[/tex]

     [tex]\bigstar[/tex] On simplification,

                          [tex]\Large\text{f(3)=6+5}[/tex]

[tex]\bigstar[/tex] Which results in

                         [tex]\Large\text{f(3)=11}[/tex]

      [tex]\rule{50}{1}\smile\smile\smile\smile\rule{50}{1}[/tex]