How does the graph of g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3?

g(x) is shifted 2 units to the right and 6 units down.
g(x) is shifted 2 units to the right and 6 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.

Step-by-step explanation:

= 3x - 2x + 24x

= 3 × 4 - 2 × 4 + 24 × 4

= 12 - 8 + 96

= 12 + 96 - 8

= 108 - 8

= 100

Answer:

The correct answer is 1/4 gallon.

Step-by-step explanation:

If we add all the fractions from the line plot, we will get 10/8 gallon.

10/8 divided by 5 is .25.

.25 converted to a fraction would be 1/4.

Hope this helps:) Goodluck!

Answer:

I think it is D, if I am wrong I am sooooo sorry

Answer:

Step-by-step explanation:

Answer:

x1 =-3+3[tex]\sqrt{2}[/tex] and x2=-3-3[tex]\sqrt{2\\}[/tex]

Step-by-step explanation:

x² + 6x-9 = 0

-6±[tex]\sqrt{6^{2}-4(1)(-9) }[/tex] / 2

-6±[tex]\sqrt{72}[/tex] /2

so

x1 = -6+[tex]\sqrt{72[/tex] /2

x1 =-3+3[tex]\sqrt{2}[/tex]

and

x2 = -6-[tex]\sqrt{72[/tex] /2

x2=-3-3    [tex]\sqrt{2\\}[/tex]

Answer:

110°

Step-by-step explanation:

if we're looking for the bearing of C from A, the angle should be formed at A

then, starting from the north poles, move in a clockwise direction till you meet the line coming from C . then, sum up the angles involved.

which is = 45°+ 65° = 110°

therefore, the bearing of C from A is 110°

Answer:

y = 6

1/3 indicates that we may have to multiply the number by 3 to get the whole number. Multiply 3 by the part given, 2.

3 × 2 = 6

Answer:

B

Step-by-step explanation:

answer is based on results from the Cartesian plane

Answer:

5 1/4 gallons

Step-by-step explanation:

Hope this helps and have a nice day

Answer:

53.90

Step-by-step explanation:

30.80/8=3.85 (price per pack)

3.85 x 14 = 53.90

Answer:

7[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Take 9 out of [tex]\sqrt{63}[/tex]

You get 3[tex]\sqrt{7}[/tex]

Take 4 out of [tex]\sqrt{28}[/tex]

You get 2[tex]\sqrt{7}[/tex]

So, 3(3[tex]\sqrt{7}[/tex]) - 2[tex]\sqrt{7}[/tex]

= 9  [tex]\sqrt{7}[/tex] - 2[tex]\sqrt{7}[/tex]

=7[tex]\sqrt{7}[/tex]

Answer:

A≈9248.85

Step-by-step explanation:

A=2πrh+2πr2=2·π·32·14+2·π·322≈9248.84877

Answer:

V≈25.13in³

Step-by-step explanation:

Answer: The function h because the graphs of f and h are symmetrical about the line y=x.

Like terms are those terms that are having the same variables, also the variables are of the same order as well. The first step to solving an equation is to rearrange the like terms.

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

To solve an equation the first step is to rearrange the equation such that like terms are together.

Hence, the first step to solving an equation is to rearrange the like terms.

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The two formats used in an observation checklist are: D. Performance profiles and SMART Targets.

Observation checklist can be defined as the process of observing and evaluating  a person or group of  people performance.

When carrying out an observation checklist  endeavors to make sure that  the checklists are dated.

Observation checklist includes Performance profiles and SMART Targets. Where SMART stands for:

S=Specific

M=Measurable

A=Achievable

R=Relevant

T= Time-Bound

Therefore the correct option is D.

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Answer:

Step-by-step explanation:

Equation

-6(1-4v) = 3v-8(-6-6v)                  Use the distributive property to get rid of the brackets.

Solution

-6 + 24v = 3v +48 +48v              Combine

-6 + 24v = 51v + 48                     Subtract 24v from both sides

-6 +24v-24v =51v-24v +48         Combine.

-6 = 27v + 48                              Subtract 48 from both sides.

-6-48 = 27v+48-48                     Combine

-54 = 27v                                    Divide by 27

-54/27=27v/27

-2 = v

Answer

v=-2

Answer:

y = -1/5x + 2.6

Step-by-step explanation:

Put the equation into slope intercept form:

5x - y = 12

-y = -5x + 12

y = 5x - 12

The slope of a perpendicular line will be the opposite reciprocal.

So, the slope of the new line will be -1/5

Then, plug this slope and the given point into the equation y = mx + b to find b

y = mx + b

3 = -1/5(-2) + b

3 = 0.4 + b

2.6 = b

So, the equation will be y = -1/5x + 2.6

Answer:

1/4

Step-by-step explanation:

y = a^x

1/16 = a^2

so the answer is 1/4

The mean and standard deviation for the GPA of the students will be 3 and 0.8165.

The mean simply means the average of a given set of numbers. The mean will be:

= 12/4

= 3

The standard deviation will be:

= ✓2/3

= 0.8165

The 95% confidence interval for the populations mean GPA will be 1.70 < U < 4.30. The interval lower limit is:

= 3.00 - 1.299.l

= 1.70

The interval upper limit will be;

= 3.00 + 1.299

= 4.30

Also, the regression line is Y = -1.2857 + 0.3571x.

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Using the given information, the value of the f(3) is 155

From the question, we are to determine the value of f(3)

From the given information,

f(n) = 5f(n-1) + 5

∴ f(2) = 5f(2-1) +5

f(2) = 5f(1) + 5

From the given information,

f(1) = 5

Then,

f(2) = 5(5) + 5

f(2) = 25 + 5

f(2) = 30

Also,

f(3) = 5f(3-1) + 5

f(3) = 5f(2) + 5

∴ f(3) = 5(30) + 5

f(3) = 150 + 5

f(3) = 155

Hence, the value of the f(3) is 155.

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Answer:

7(7x²-9x +1)

Step-by-step explanation:

49x²-63x+7

7(7x²-9x +1)

When the ball hits the ground,

h=0

vt�16t^2=0

64t-16t^2=0..

t(64-16t)=0

t=0 (reject, not reasonable)

or

64-16t=0

16t=64

t=64/16=4

How long will it take for the ball to hit the ground? 4 seconds

Answer:

B

Step-by-step explanation:

the biggest portion of the pie graph is labeled comedy, so that would be your answer.

The solution -1 is an extraneous solution

Neither -1 nor -6 is a true solution to the equation.

Option D is the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To solve the equation x + 4 = √(x + 10), we need to isolate the radical term on one side of the equation and then square both sides to eliminate the radical.

Here are the steps:

x + 4 = √(x + 10)

Subtract 4 from both sides:

x = √(x + 10) - 4

Square both sides:

x² = (√(x + 10) - 4)²

Expand the right side using the formula (a - b)^2 = a^2 - 2ab + b^2:

x² = x + 6 - 8√(x + 10)

Move all terms to the left side:

x² - x - 6 + 8√(x + 10) = 0

To solve this equation, we can use a substitution u = √(x + 10):

u = √(x + 10)

Square both sides:

u² = x + 10

Substitute into the original equation:

(u² - 10) + 4 = u

Simplify:

u² - u - 6 = 0

Factor:

(u - 3)(u + 2) = 0

So u = 3 or u = -2.

But u = -2 leads to a negative value under the square root in the substitution u = √(x + 10), which is not allowed.

Therefore, we only consider u = 3, which gives:

√(x + 10) = 3

Square both sides:

x + 10 = 9

Subtract 10 from both sides:

x = -1

So the solution to the original equation is x = -1.

To check if it is extraneous, we need to substitute it back into the original equation:

x + 4 = √(x + 10)

-1 + 4 = √(-1 + 10)

3 = √9

3 = 3

The equation is true, so x = -1 is a valid solution and not extraneous.

Therefore,

Neither -1 nor -6 is a true solution to the equation.

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