How to answer this piecewise function?

How To Answer This Piecewise Function?

Answers

Answer 1

Answer:

well the answer is... and then you... which leads to.....

Step-by-step explanation:

Answer 2
Answer: -2*g(x) + 2

This shifts the graph down 1 unit, reflects over the x axis, then vertically dilates by a factor of 2.

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

Explanation:

Refer to the figures below. The screenshots may be a bit on the big side, so brainly might attempt to reduce the size. To fix this, click on the magnifying glass to get a better look. There are 4 images in total.

Figure 1 is the original graph your teacher gave you.

Figure 2 shows the translation of the parabola 1 unit down. This aligns the right piece of the red parabola to the green V curve. This junction location is (1,0).

Afterward, in figure 3, we reflect the parabola over the x axis to have the left endpoint of the parabola (-3,8) move to (-3,-8). Unfortunately the (-3,-8) doesn't match up with the right most piece of the blue cubic curve.

Luckily, a quick fix is to double the y coordinate from -8 to -16 and the two pieces match perfectly. The other junction is (-3,-16). This is shown in figure 4.

To summarize, we did these transformations in the order presented.

Shift down 1 unit (figure 2)Reflect over the x axis (figure 3)Vertically stretch or dilate by a factor of 2 (figure 4)

--------------

Now to shift down 1 unit, we subtract 1 from each g(x) output.

Therefore, we go from g(x) to g(x)-1

Reflect over the x axis to get -(g(x) - 1) = -g(x) + 1

Lastly, we double everything when applying the dilation mentioned to end up with the final answer:  -2*g(x) + 2

You can use a tool like GeoGebra to check your work. It's the app I used to make the figures shown below.

How To Answer This Piecewise Function?
How To Answer This Piecewise Function?
How To Answer This Piecewise Function?
How To Answer This Piecewise Function?

Related Questions

Help help help help help help help help help help help help help

Answers

Step-by-step explanation:

Answer:

√21

Step-by-step explanation:

2^2+b^2=5^2

4+b^2=25

b^2=21

√ b^2=√ 21

If peter spent 500 dollars, how much did john spent?

Answers

Answer:

500 dollars spend by john

Help me find the expressions that are equivalent ?

Answers

it equals 729, so 3^6 also equals 729, and so does 9^3.

branliest would be appreciated:))

Answer:

3⁶

Step-by-step explanation:

We know that,

⇒ [tex]a^{x} *a^{y} =a^{(x+y)}\\[/tex]

⇒ [tex]\frac{a^x}{a^y} =a^{(x-y)}[/tex]

⇒ [tex](a^x)^y=a^x^y[/tex]

Let us solve it now.

3⁴ × 3²

3 ⁽ ⁴ ⁺ ² ⁾

3⁶ ⇒ 729

And let us find the value of each expression which are given as answers and find the expressions which are equivalent to 729 ( 3⁶ ).

3⁶ ⇒ 729                  ( YES )9⁶ ⇒ 531,441            ( NO )9³ ⇒  729                 ( YES ) 3⁸ ⇒  6,561               ( NO )9⁸ ⇒ 43,046,721       ( NO )

Tell me how to write linear equations for slopes, but in a way that's easy to understand.
Oh, and if you can, explain linear functions too

Answers

Answer:

First linear equattion is equation with two variables and its formlla is y=mx+b . Where y and x are variables and m is the slope . And b is rhe y intercept means the value which get from the value of x is 0. and x intercept is the value when y is 0

Q. find the value of x

Answers

Answer:

to find the value of x, bring the variable to the leftside and bring all the remaining values to the right side

Step-by-step explanation:

Thank me later

What is the range of function g?

Answers

Answer:

C          -4,-3

Step-by-step explanation:

for PLATO

The range is given as [tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]. Then the correct option is C.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The range of the function will be

The range will be a real number, but Exclude the line x = -3 and circle point on the graph at (5, -4)

Then the range is given as

[tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]

Then the correct option is C.

More about the domain and range link is given below.

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A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph.

Answers

60 mph = 1 mile per minute
10:20 AM -> 1:00 PM = 2 hours and 40 minutes
2 hours 40 minutes = 160 minutes
Boston -> Stamford = 160 miles

If f(x) =1/9x-2 what is f^1(x)
F^1(x) 9x+18
F^1(x) = 5x+2
F^1(x) =9x+2
F^1(x)=-2+1/9

Answers

Answer: 9x+18

Step-by-step explanation:

Find the sum. Include all calculations in your answer. -4 5/8 =2 1/8
please hurry!

Answers

Answer:

Answer:

-2 1/4

Step-by-step explanation:

9.Evaluate (9/4)^1/2

Answers

3/2 that’s in exact form

The exact form is 3/4

Decimal form is 1.5

And mixed number form is 1 1/2

Given: angle 2 and angle 4 are vertical angles Prove: angle 2 congreunt angle 4

Answers

Answer:

Step-by-step explanation:

Answer: View the picture below!

Step-by-step explanation: Just did it!

Solve equation step by step
6= x+2/3​

Answers

Answer: x = 16 or if it is x+2/3 (two thirds), then 5 1/3

Step-by-step explanation: 16+2 divided by 3 = 6. 5 1/3 + 2/3 = 6.

Answer:

5 1/3

Step-by-step explanation:

Step 1:

6 = x + 2/3        Equation

Step 2:

6 - 2/3 = x       Subtract 2/3 on both sides

Answer:

5 1/3 = x          Subtract

Hope This Helps :)

Find a, b and c so that the numbers 41, 46 a, b, c have a mean of 50 and a mode of 45.

Answers

Answer:

a = 45

b = 45

c = 73

The order doesn't matter as long as we have two copies of 45 and one copy of 73.

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

Explanation:

If a,b,c are all different values, then there's no way to have a mode since the mode is the most frequent item. We need 45 to repeat itself more than once.

This means either a,b,c are the same value (45) or exactly two of those variables are equal (either a = b, b = c or a = c) to 45.

Let's assume that a = b = c = 45. If so, then

{41,46,a,b,c}

would update to

{41,46,45,45,45}

Adding those items up and dividing by 5 gets us

(41+46+45+45+45)/5 = 44.4

We don't get the mean of 50 we want. So all three a,b,c values cannot be 45.

---------------------------------

Instead, we have the case that exactly two of a,b,c are 45 and the third is something else.

Without loss of generality, let's say a = b = 45 and c is something else.

The set {41,46,a,b,c} updates to {41,46,45,45,c}

Add those values up, divide by 5, and set the result equal to the target goal of 50. The idea is to solve for c.

(41+46+45+45+c)/5 = 50

(177+c)/5 = 50

177+c = 5*50

177+c = 250

c = 250-177

c = 73

As a check,

(41+46+45+45+73)/5 = 50

which works out.

---------------------------------

So that's how we arrive to a = 45, b = 45, c = 73

The order of the letters doesn't matter. We could easily have a = 45, c = 73 and b = 45; or we could have a = 73, b = 45, c = 45.

All that matters is exactly two of the a,b,c are 45 and the third variable is 73.

This pattern follows the "multiply by 3" rule. What is the next number in the pattern?

3, 9, 27, 81, ________

Answers

Answer:

243

Step-by-step explanation:

If you are multiplying by 3 for the next number in the sequence, you would need to do 81 x 3 which is 243.

Answer:

243

Step-by-step explanation:

If you are multiplying by 3 for the next number in the sequence, you would need to do 81 x 3 which is 243.

ill give 90 Points I need this NOW!

Write the phrase as an expression.

6 more than the quotient of 15 and 3

Answers

Solution:

We know that:

Given phrase: 6 more than the quotient of 15 and 3

Rereading the phrase carefully.

{6} {more} than the {quotient of 15 and 3.} ↥       ↥                                    ↥           6      +                                 15/3

Expression formed: 6 + 15/3

You need a box that has a volume of 6 ft3. Which box has this volume?

Box 1:
l = 3 ft
w = 2 ft
h = 2 ft Box 2:
l = 2 ft
w = 1 ft
h = 3 ft Box 3:
l = 2 ft
w = 3 ft
h = 4 ft

Answers

Answer:

Box 2

Step-by-step explanation:

length x width x height = volume

Answer:

box  2

Step-by-step explanation:

What is the opposite of each number?

Drag the answer into the box to match each number.

0.1

1/7

10

-7


0.1, -0.1 ,1 ,7, 10, 1/7, -10

Answers

Answer:

the opposite of 0.1 would be -0.1

the opposite of 1/7 would be 7

the opposite of 10 would be -10

the opposite of -7 would be 7

What is the area of the shape?

Answers

Answer:

49

Step-by-step explanation:

Please check the photo.

What is y= -1/3- 9 written in standard form?

Answers

Y=Mx+B is the slope for and then go from there

Choose the model for the problem 2\3 ÷ 2
NEED ANSWERS ASAP

Answers

By using division operation we can conclude that the model for 2/3 ÷ 2 = 0.3333333335.

What is division?

Division is an arithmetic operation that involves splitting a quantity or number into equal parts. It is the process of finding how many times one quantity is contained within another quantity.

To solve the problem 2/3 ÷ 2, we can use the division operation of arithmetic. However, since this is a simple calculation, there is no need to use a complex model or tool.

Here are the steps to solve the problem:

Divide 2 by 3:

2 ÷ 3 = 0.666666667 (rounded to nine decimal places)

Divide the result from step 1 by 2:

0.666666667 ÷ 2 = 0.3333333335 (rounded to ten decimal places)

Therefore, 2/3 ÷ 2 = 0.3333333335.

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which of the following is a complex number?

Answers

Answer:

The complex number is B, [tex]3\sqrt{\frac{7}{5}}+\sqrt{-\frac{9}{5}}[/tex]

Step-by-step explanation:

A complex number should be written in the form [tex]a+bi[/tex], where a and b are real numbers, and i is an imaginary number.

Recall that [tex]\sqrt{-1}=i[/tex]. Since letter B has the second term [tex]\sqrt{-\frac{9}{5}}[/tex], we can say

[tex]\sqrt{-\frac{9}{5}}=\sqrt{-1\cdot\frac{9}{5}}=i\sqrt{\frac{9}{5}}[/tex]

Therefore, the number can be written as

[tex]3\sqrt{\frac{7}{5}}+i\sqrt{\frac{9}{5}}[/tex].

Which pair of triangles can be proved congruent by SAS?

Answers

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The Triangles congruent by SAS criteria are the ones in choice B

where the two sides are given equal, one side is common in there and they have a right angle between the mentioned two sides.

So, it makes it more reasonable

Hope you understood ~ ask me if there's any doubt or more questions !

state the set of multiples of 3 between 5 and 29​

Answers

Answer:

6, 9, 12, 15, 18, 21, 24, 27,

Step-by-step explanation:

Hope it helps

The volleyball team is selling raffle tickets for $1. 50 each. It wants to make at least $250 from the sales. Assume everyone buys the same number of tickets. If there are 75 people at the fundraiser, what is the least number of tickets each person needs to buy to meet that goal?.

Answers

The least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.

What is an algebraic expression?

The algebraic expression are used to represent the general problem in the mathematical way to solve them to find the value of unknown variable.

Let suppose the number of tickets sold are n. As the volleyball team is selling raffle tickets for $1.50 each and the total fund raised by selling the ticket is $250.

Thus, the number of tickets sold are,

[tex]n=\dfrac{250}{1.5}\\n\approx167[/tex]

Now everyone buys the same number of tickets and there are 75 people at the fundraiser. Thus, the number of tickets purchased by each fundraiser is,

[tex]x=\dfrac{167}{75}\\x=2.23[/tex]

The number of tickets should be more than 2.23 buy by each people to earn the profit at least or more than $250.

Hence, the least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.

Learn more about the algebraic expression here;

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HURRY PLEASE THIS NEED TO BE ANSWERD IN 30 SECONDS FAKE ANSWER WILL BE REPORTED : )

Answers

Answer: (-6,0)

Step-by-step explanation:

Hope this helps!

If I bought 2 1/4 pounds of hamburger, and the hamburger costed 4.48 dollars per pound, how much would it all cost? (I need answers quick, I'm in a test!)

Answers

Answer: $10.08

2 pounds of hamburger would equal $8.96.

1/4 of 4.48 is $1.12.

Add $8.96 and $1.12 is $10.08

Please help ASAP!!
Thank you!

Answers

Answer:

x=22

Step-by-step explanation:

(5x+4)+44+x = 180. reason [being co-interior angle)

48+6x = 180

6x = 132

x=22

Find the area A of polygon ABCDEFG with the given vertices.

A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)

Answers

The area A of polygon ABCDEFG with the given vertices is 10 square units

How to find the area A of polygon ABCDEFG with the given vertices?

The vertices are given as

A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)

The area of the polygon is calculated using

Area = 1/2 * |(x1y2 -x2y1) +(x2y3 -x3y2) + ..... + (xny -xyn)|

So, we have

Area = 1/2 * |(0 * 5 - 5 * 2) + (2 * 3 - 5 * 2) + (2 * 2 - 3 * 3) + (3 * 2 - 2 * 1) + (1 * 3 - 2 * 0) + (0 * 3 - 3 * -4) +(-4 * 5 - 3 * 0)|

Evaluate the sum of products

So, we have

Area = 1/2 * |-20|

Remove the absolute bracket

So, we have

Area = 1/2 * 20

Evaluate the products

So, we have

Area = 10

Hence, the area A of polygon ABCDEFG with the given vertices is 10 square units

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Use the table to identify the values of pand that should be used to factor x2
+ 9x - 10 as (x + p)(x + a).
р
1
--1
2.
2
-10
10
-5
5
p+a
9
9
-3
3
O A. 2 and -5
O B. -2 and 5
O c. 1 and -10
OD. -1 and 10

Answers

Answer:
Hope it helped =D

Question is in the pic​

Answers

Answer:

y=-3x-1

Step-by-step explanation:

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