The function f(x) = 2(3.5)x is reflected across the x-axis to create g(x). what is the function definition of g(x)? g(x) = (3.5x) what is the initial value of g(x)? what are the outputs for inputs of –1 and 1 in g(x)? g(−1) = g(1) =

Answers

Answer 1

1) The reflected function [tex]g(x)=-2(3.5)^x[/tex] is defined everywhere.

2) Initial value of g(x) or g(0) is 1

3) Value of g(1) is -7

4) Value of g(-1) is -4/7

The given function is:

[tex]y=2(3.5)^x[/tex]

How reflection about the x-axis takes place?

We know that when a function is reflected about the x-axis,

y becomes -y while x is unchanged.

So, the reflection of [tex]y=2(3.5)^x[/tex] about x-axis is:

[tex]-y=2(3.5)^x[/tex]

[tex]y=-2(3.5)^x[/tex]

[tex]g(x)=-2(3.5)^x[/tex]

g(x) is an exponential function defined everywhere.

[tex]g(0) =-2[/tex]

[tex]g(1) =-7[/tex]

[tex]g(-1) =-\frac{4}{7}[/tex]

Therefore, 1) The reflected function [tex]g(x)=-2(3.5)^x[/tex] is defined everywhere.

2) Initial value of g(x) or g(0) is 1

3) Value of g(1) is -7

4) Value of g(-1) is -4/7

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Answer 2

Answer:

1. g(x) = -2 (3.5x)

2. -2

3. g(−1) = 0.57

4. g(1) = -7

Step-by-step explanation:


Related Questions

Can someone find The volume of the shaded portion of the cylinder??????????????????????? I have attached the picture

Answers

Step-by-step explanation:

Area of circle = πr², π = 22/7 or 355/133. Here it is said to use '3.14'. I will use the same.

Volume = cross-section area * height

Cross-section area of bigger one = π(3m)²

Volume = π(3m)² * height

= 9π * 5 m³ = 45π m³

Cross-section area of smaller one= π(1m)²

Volume = π(1m)² * height

= π * 5 m³ = 5π m³

Since a large part(cylinder of 1 m is not here):

Required volume = total volume - volume of smaller circle(cylinder)

= 45π - 5π m³

= 40π m³ = 40(3.14) m³

= 125.6 m³

ANSWER QUICKLY PLZZZZZZ ASAP
READ QUESTIONS CAREFULLY
ONLY ANSWER IF YOU KNOW ​

Answers

Answer:

107.25 metres.

Step-by-step explanation:

diameter of circle = 150m,

so,

radius = 75 m

perimeter of semi circle

= pi × r

= 3.14 × 75

= 235.5 m

perimeter of rectangle

= 2 × (l+b)

= 2 × (150 + 75)

= 450 m

perimeter of shaded region

= perimeter of rectangle - perimeter of semi circle/2

= 450 - 235.5/2

=107.25 metres

Find the length of the third side. If necessary, round to the nearest tenth. 4 7​

Answers

4^2 + 7^2 = c^2
16 + 49 = c^2

C^2 = 65

65 square root

C = 8.06 or rounded is 8.1

PLEASE HELP ME WITH THIS RIDDLE

Both of my parents gave me 250$ each and now I have 500$ and then I bought a phone for 450$ and now I have 50 dollars left so i gave my friend 30 dollars because he asked. Now I have 20$ left. Since I have 20$ left I’ll give my parents 10$ each and now they want from me 240$ each and in total I have 480$ to give to my parents but my friend gave my 30$ dollars back that I gave him and now I have 510$ where did that 10$ in the 520$ come from??

Answers

Answer:

15000 pay on the ship for me

The smaller triangle is dilated to create the larger triangle. The center
of dilation is plotted, but not labeled.

Answers

Answer:

Point D is the point of dilation.

Step-by-step explanation:

If the smaller triangle A'B'C' is dilated to form a larger triangle ABC by the dilation about point D,

Ratio of the DA and DA' will be equal to the ratio of DB and DB'.

Length of DA = 3 units

Length of DA' = 1 unit

Coordinates of D → (3, 0)

Coordinates of B → (9, 3)

Coordinates of B' → (5, 1)

Use the formula of distance between the two points to find find the length of DB and DB'

Length of DB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(3-0)^2+(9-3)^2}[/tex]

                                                                 [tex]=\sqrt{45}[/tex]

                                                                 [tex]=3\sqrt{5}[/tex]

Length of DB' = [tex]\sqrt{(5-3)^2+(1-0)^2}[/tex]

                       [tex]=\sqrt{5}[/tex]

Ratio of DB and DB' = [tex]\frac{3\sqrt{5} }{\sqrt{5} } =3:1[/tex]

Ratio of DA and DA' = 3 : 1

Since, [tex]\frac{DA}{DA'}=\frac{DB}{DB'}[/tex]

Therefore, smaller triangle is dilated by a scale factor of 3 to form the bigger triangle about the point D.

SOMEONE HELP!! LOOK AT THE IMAGE

Answers

We know that the answer is either a or b. In by reading for 30 seconds, the answer is indeed B.

Cuanto es 0.5 en fracción

Answers

Answer:

5/10

Step-by-step explanation:

a cube has that measure 7 centimeters each. what is the volume?

Answers

Answer:

Volume = 343 cm³

Step-by-step explanation:

Given :-

Edge measure = 7 cm

To Find :-

Volume

Solving :-

Volume = (edge measure)³Volume = 7³Volume = 7 x 7 x 7Volume = 343 cm³

50 POINTS!!!
Help me with this pls
Answer with explanation = Brainliest
Absurd answers = report

Answers

Answer:

A)

Step-by-step explanation:

A systems of equations that are 2 completely separate lines will have 1 solution.

A systems of equations that are the same line will have infinite amount of solutions.

A systems of equation that have parallel lines will have no solution.

We see that B, C, and D are all 2 completely separate lines with their own slope and y-intercept. Therefore, they will have 1 solution.

A is our answer because we see that they have the same slope but different y-intercepts. This means that they are parallel lines and will never intersect each other, thus providing us with no solution.


Write an equivalent expression by distributing the "-" sign outside the
parentheses:
-(-9c – 5.9d + 7.9)

Answers

Answer:

[tex]9c+5.9d-7.9[/tex]

Step-by-step explanation:

[tex]-\left(-9c-5.9d+7.9\right)[/tex]

[tex]\mathrm{Distribute\:parentheses}[/tex]

[tex]=-\left(-9c\right)-\left(-5.9d\right)-\left(7.9\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]

[tex]=9c+5.9d-7.9[/tex]

~Learn with Lenvy~

Can some one help me with this step by step with the answer as well?

Answers

Answer:

There isn't enough information to answer the question

Step-by-step explanation:

In preparation for an earnings report, a large retailer wants to estimate p = the proportion of annual sales that occur during the months of November and December. A SRS of sales from last year revealed that 37 of the randomly selected sales occurred during the months of November and December while 124 occurred during the rest of the year.



Calculate a 95% confidence interval for p

Answers

Answer:

720 I know this because i did this :)

Step-by-step explanation:

The 95% confidence interval for the proportion p is (0.156, 0.302)

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To calculate a 95% confidence interval for the proportion p, we can use the following formula:

p ± z√(p(1-p)/n)

where p is the sample proportion (37/161), z is the critical value for a 95% confidence level (1.96 for a large sample size), and n is the sample size (161).

Plugging in these values, we get:

p ± z√(p(1-p)/n)

= 0.229 ± 1.96√((0.229)(0.771)/161)

= 0.229 ± 0.073

Therefore, the 95% confidence interval for p is (0.156, 0.302).

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Simplify -|-5 + 2|.
7
3
-7
-3

Answers

Answer:

-3

Step-by-step explanation:

-|-5+2|

-|-3|

=-3

..................

The answer is A and I know that cause I just took the test

x+6/2 + 5−4x/3 − 8−x/6 =0

Answers

Answer:

x = 0

Step-by-step explanation:

x+\frac{6}{2}+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0

x+3+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0

x+3+5-\frac{4x}{3}-8-\frac{x}{6}=0

x-\frac{4x}{3}-\frac{x}{6}+3+5-8=0

x-\frac{4x}{3}-\frac{x}{6}=0

x\cdot \:6-\frac{4x}{3}\cdot \:6-\frac{x}{6}\cdot \:6=0\cdot \:6

6x-8x-x=0

-3x=0

\frac{-3x}{-3}=\frac{0}{-3}

x=0

The midpoints of a GH is M(5, 7). One endpoint is H(12, -9). Find the coordinates of endpoint G. Find the distance between the endpoints GH.

Answers

Answer:

Step-by-step explanation:

(x+12/2,y-9/2)=(5,7)

x+12=10,y-9=14

x=-2,y=23

The coordinates of endpoint G is (-2, 23) if the midpoints of a GH is M(5, 7). One endpoint is H(12, -9).

What is an ordered double?

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

The midpoint of a GH is M(5, 7). One endpoint is H(12, -9).

The coordinates of endpoint G (x, y)

Using mid-point theorem:

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

(x + 12)/2 = 5

x + 12 = 10

x = 10 - 12

x = -2

(y -9)/2 = 7

y - 9  = 14

y = 14 + 9

y = 23

Thus, the coordinates of endpoint G is (-2, 23) if the midpoints of a GH is M(5, 7). One endpoint is H(12, -9).

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whoever answers i will have u brainlist:)

Answers

Answer:

your answer should be ty

Step-by-step explanation:

Ok thank you so much

If PQ = 20 and QR = 22, then find the length of PR.

Answers

Answer: 44

Step-by-step explanation: I'm assuming P is on the left most side and R is on the right most side. The two segments of the line adds up to the entire line so it would be PQ(20)+QR(22)=PR(44)

A regular triangle rotated about its center by 360 degrees maps onto itself at
different angles of rotation.

Answers

Answer:

there is a lot of different rotations

Step-by-step explanation:

and multiple of 360 and could go infinitely while 90, 180, 270 degrees will not work.

5. If the measure of angle 4 is 135 degrees, what is the measure
of angle 5?

Answers

Answer:

Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?

If the measure of an angle is 135°,

then the measure of its supplement is 45°.

We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°

Whoever is willing to help I will give extra point I will probably get some done myself but I will need help with the rest

Answers

Answer:

are you just listing defnitions or what

Step-by-step explanation:

4. What is the value of |–19|?

Answers

Answer:

Absolute value;

The non-negative value of x(in your case -19) without regard to its sign.

Basically how far in distance x(in your case -19) is away from 0.

|–19| = 19

Answer:

19

Step-by-step explanation:

Given the following question:

When dealing with absolute value we need to understand that all negatives in between "|  |" are changed into positives. See absolute value (| |) as if its a car wash, and negatives are dirty cars.

In this case...
[tex]|-19 |[/tex]
[tex]|-19 |=19[/tex]
[tex]=19[/tex]

Hope this helps.


You and two friends are
playing hockey. You make 8
out of 15 shots. Your first
friend makes 7 out of 10 shots
and your second friend makes
6 out of 12 shots. Who is the
better shooter?

Answers

Answer:

the first friend

Step-by-step explanation:

your percentage is 8/15 = 53.3%

your first friend's percentage is 7/10 = 70%

your second friend percentage is 6/12 = 50%

round 22.5240 to the nearest thasands please help

Answers

Answer:

It is 22.524

Step-by-step explanation:

Rolled oats : chopped peanuts write the indicated ratio.then find and interpret the value of the ratiothe ratio is blank the amount of rolled oats in yhe recipe is blank times the amount of chopped peanuts rolled oats 2 cups and xhopped peanuts 1/2

Answers

Answer:

The ratio of cups of mixed nuts to cups of granola is /First, we need to get the total number of granola cups. This can be done by adding all the components' cups as follows:

number of granola cups = 6 + 2 + 0.5 + 1 + 1 + 0.5

number of granola cups = 11 cups

Now, we are given that:

number of cups of mixed nuts is 2 cups

To get the ratio between the cups of mixed nuts and total granola cups, we will simply divide the two quantities as follows:

Hope this helps :)

Step-by-step explanation:

Granola is a munchable snack that is prepared using various kinds of nuts, seeds, and sometimes a binding agent such as honey is used in the preparation of granola.

In the question above, we are giving the ingredients and quantities which is used in the preparation of granola

6 cups rolled oats, 2 cups mixed nuts, 1 /2 cup sesame seed, 1 cup dried cranberries, 1 cup dried unsweetened coconut, 1 /2 cup honey.

Step 1

We would be adding up the ingredients to find the total number of cups

6 + 2 +  + 1 + 1 +  = 11 cups

The total number of cups = 11 cups

Step 2

The cups of mixed nuts given in the question = 2 cups

The total number of cups of granola is given = 11 cups

Therefore, the ratio of cups of mixed nuts to cups of granola is 2 : 11

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express 200085000 in scientific notation

Answers

Answer:

2.00085 * 10^8

Step-by-step explanation:

Classify the triangle by its angles and sides.

Answers

Answer:

D) Obtuse Scalene this is the answer

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

Answer:

C

Step-by-step explanation:

Help pls pls pls plssss

Answers

Rained 3cm more than Monday

Answer:

3/8

Step-by-step explanation:

2 1/8 - 1 3/4

2 1/8 - 1 6/8

17/8 - 14/8

3/8

Is this supplementary or congruent?

Answers

Answer:

supplementary

Step-by-step explanation:

we have,

2x+96=180

=> 2x = 180- 96

=> 2x = 82

now,

82 + 96 = 180

so they are supplementary angles

8 cm
3 cm
A
Figures not drawn to scale.
What is the length of side A in centimeters?

1/6
1/2
2
6

Answers

Answer:

6 cm

Step-by-step explanation:

Scale factor = 4/8 = 1/2

A* 1/2 = 3

A = 2*3

A = 6 cm

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