When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect? (4 points) There will be no change to the graph because the exponential portion of the function remains the same. The y-intercept is 22 spaces higher. The x‐intercept is 22 spaces higher. All input values are moved 22 spaces to the right.

Answers

Answer 1

Answer:

the y-intercept is 22 spaces higher.

Step-by-step explanation:

I don't know, what special operations you want to express with 3(5)x.

as it is written this simply means

3×5×x

no exponents or other special things are visible.

but it should not matter.

whatever is the first function is unchanged the first part of the second function.

so, the only difference is the "+ 22" part.

and that simply means that all y values (the functional result values) are increased by 22.

you know that "f(x) =" has the same meaning as "y =".

and with that also the y-intercept (the y value when x = 0, and therefore the point, where the curve intersects the y-axis) is increased by 22 spaces.


Related Questions

does someone mind helping me with this problem? Thank you!

Answers

Step-by-step explanation:

∠A + ∠B + ∠C = 180°

Here the value of ∠B and C is given below...we need to find the value of ∠A ....

a + 120° + 40° = 180°

a + 160° = 180°

a = 160° - 180°

a = 20°

[tex]...[/tex]

Which expression is equivalent to 76a^2 b^3 / 19 a b

Answers

[tex]\\ \rm\Rrightarrow \dfrac{76a^2b^3}{19ab}[/tex]

Use exponent rule

a^m÷a^n=a^{m-n}

[tex]\\ \rm\Rrightarrow \dfrac{76}{19}a^{2-1}b^{3-1}[/tex]

[tex]\\ \rm\Rrightarrow 4a^1b^2[/tex]

[tex]\\ \rm\Rrightarrow 4ab^2[/tex]

What is the equation of the line that is perpendicular to the line y = 4x + 3 and
passes through the point (4, -1)?
O A y-¹-x-2
O B. y=-x+1
OC. y= 4x-17
O D. y=-1x

Answers

Step-by-step explanation:

perpendicular means at a 90° angle.

the slope (incline) of a line is always the factor of x. in our case of the original line 4.

it is the ratio of

y change / x change

so, the "4" is actually 4/1.

a perpendicular slope is just turning y/x upside down and flips the sign.

so, the slope of our new line is

-1/4

and the new line looks like

y = -1/4 x + b

to get b we simply use the point coordinates for x and y :

-1 = -1/4 × 4 + b

-1 = -1 + b

so, b = 0

the final equation for our new line is

y = -1/4 x or -x/4

so I guess you left something out at the answer options, and the answer would be D.

Gabriel is raising money for a school trip by selling lollipops and bags of chips. The price of each lollipop is $1 and the price of each bag of chips is $1.50. Yesterday Gabriel made $30 from selling a total of 26 lollipops and bags of chips. Graphically solve a system of equations in order to determine the number of lollipops sold, x,x, and the number of bags of chips sold, yy.

Answers

Answer:

[tex]x + \frac{3}{2} y = 30[/tex]

and

[tex]x + y = 26[/tex]

Answer:

18 lollipops8 bags of chips

Step-by-step explanation:

The equations we want to graph are one for the revenue, and one for the number of items sold.

__

revenue

The revenue from each lollipop is $1, so the revenue in dollars from selling  x of them is 1·x = x. The revenue from each bag of chips is $1.50, so the revenue from selling y of them is 1.50·y = 1.5y. The total revenue from selling x lollipops and y bags of chips is ...

  x +1.5y = 30 . . . . . dollars

__

item count

The total number of items sold is ...

  x + y = 26

__

solution

The graph shows the solution to these two equations is ...

  (x, y) = (18, 8)

The number of lollipops sold is 18; the number of bags of chips sold is 8.

Help me thank you very much

Answers

Sadie finished her walk at 3:45 pm

Answer:

3:45

Step-by-step explanation:

The current time is 3:15. Rotate the minute hand 90 degrees twice, and now the minute hand should be on the 9, which would mean the time is 3:45.

After one rotation and after two rotations:

Juanito has a bag of marbles. In his bag he has 5 yellow marbles, 5 blue marbles, 3 red marbles, and 2 white marbles. What is the P(white marbles)?

Answers

2/15

Step-by-step explanation:

yellow Marbles =5

blue marble =5

red marbles =3

white marbles =2

total marbles =15

p of white marbles= white marble/ total marble

so 2/15

in simplest from 7.5

Steven earns extra money babysitting. he charges $20.25 for 3 hours and $40.50 for 6 hours.

enter an equation to represent the relationship. let x represent the number of hours steven babysits and y represent the amount he charges.

the equation is y = ________

Answers

Y=6.75x
He charges $6.75 per hour

helpp quick enough points

Answers

Answer:

- 16 hope it helps a lot for you

Here is a list of numbers:
87 12 7
the median
the range
the mode
Find:
a)
b)
c)
a)
b)
C
AA
11 10 7 12
vle.mat

Answers

Answer:

aa

Step-by-step explanation:

n a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. However, 89% of the students believe that five minutes is not enough time for students to change classes. Let p hat Subscript Upper F and p hat Subscript Upper S be the sample proportions of teachers and students, respectively, who believe that five minutes is not enough time for students to change classes. Suppose 28 teachers and 100 students are selected at random and asked their opinion on the amount of time students have to change class. Which of the following is the correct shape and justification of the sampling distribution of p hat Subscript Upper F Baseline minus p hat Subscript s ?

Answers

The difference (faculty-student) in the sample proportions of those who believe that five minutes is not enough time for students to change classes typically varies about 0.096 from the true difference in proportions. Option D is correct.

What is the standard deviation?

It is a measurement of statistical data dispersion. The degree to which the value varies is known as standard deviation.

The standard deviation of the sampling distribution is found as;

[tex]\rm \sigma_F-\sigma_s= \sqrt{\frac{0.37 \times (1-0.37)}{28}+\frac{0.89 \times (1-0.89)}{100} } \\\\ \sigma_F-\sigma_s=0.096[/tex]

The difference in the sample proportions of those who think five minutes is not enough time for students to switch classrooms generally differs by roughly 0.096 from the actual difference in proportions.

Hence option D is correct.

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Translate the shape A three squares left and three squares up.What are the coordinates of the vertices of the image?

Answers

The resulting coordinate of the vertices after translation will be (-2, 1), (-2, 4) and (0, 4)

What is translation?

Translation is a transformation techniques of changing the position of an object on the xy-plane.

If the coordinate A is translated three squares left and three squares up, the translation rule will be (x, y)-> (x-3, y+3)

Given the coordinate of the triangle A to be (1, 4), (1, 1) and (3,1), the resulting coordinate of the vertices after translation will be (-2, 1), (-2, 4) and (0, 4)

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A local truck rental charges $45 to rent a truck plus $0.15 per mile. This local company has a restriction on the miles stating in the contract that no more than 50 miles can be driven. Write a function, C, that represents the cost for driving m miles

Answers

The linear function C that represents the cost of driving m miles is given by:

[tex]C(m) = 45 + 0.15m, m \leq 50[/tex]

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the fixed cost of $45 as the y-intercept, and the cost of $0.15 per mile as the slope, and that at most 50 miles can be driven, the function is given by:

[tex]C(m) = 45 + 0.15m, m \leq 50[/tex]

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in the adjoining figure cross out dissimilar one and represent the set formed by following method​

Answers

Answer:

cross out 4

Step-by-step explanation:

explanation

If a and b are negative real numbers and
a

Answers

Answer:

[tex]a^{2} > b^{2}[/tex]

Step-by-step explanation:

if  a<b<0

then the absolute value for a is greater than that of b

as a results, the square of a should be greater than that of b

Step-by-step explanation:

remember,

e.g. -12 < -8

or -741 < -589

but then the corresponding positive numbers

12 > 8

741 > 589

so, if we have 2 negative numbers a, b with a < b, then

a² > b²

because the square is always delivering a positive number.

and as positive a > positive b, then so is a² > b².

3.) What is the measure of angle a in the triangle below?
a
50°

Answers

40°

Step-by-step explanation:

 ∠ACB = ∠DCE ( vertically opposite angle )

Now...

a + 90° + 50° = 180° ( the sum of interior angle of triangle is 180° )

a + 140° = 180°

a = 180° - 140°

a = 40°

hence the value of a is 40°

The answer is 40 degrees
Opposite angles are congruent and equal in measure so the bottom angle is 50 and their is a right angle that is90. Sum of all three angles is 180.
50 + 90 + a = 180 so
It is 40.

Math the expression to its side

Answers

Answer:

Step-by-step explanation:

2^-4 = 1/(2x2x2x2)= 1/16

2^5= 2x2x2x2x2= 32

5^3 = 5x5x5= 125

5^-2 = 1/(5x5)= 1/25

Use the information in the table to answer the question.

Eitan and Asher are playing a game using two six-sided number cubes. To win the game, Eitan has to roll a sum of 11 or more.

A table with 36 possible outcomes.

Which outcome would allow Asher to have a higher probability of winning the game? Select three options.
rolling a sum of 4
rolling a sum of 9
rolling a sum that is less than 5
rolling a sum that is greater than 5 but less than 7
rolling a sum that is greater than 9 but less than 11

Answers

Answer:

rolling a sum of 9

Rolling a sum less than 5

Rolling a sum that is greater than 9 but less than 11

Step-by-step explanation:

so you have sum of 9 which is 9

sum less than 5 which is 4,3,2,1

And a sum greater than 9 but less than 11 so 10

10 +9 is greater than 11

10 +4, 10 + 3, 10 +2, 10 + 1 would work too

9+5, 9+4,9+3, 9+2 would work as well the only one who wouldn’t is 9+1 but you have more that work than don’t

Answer: b , c , e

Step-by-step explanation:

HELP PLEASE)) Point P on line AD is chosen at random. For which of the figures below is
the probability that P is on line BC 25%? Note: Diagrams are not drawn to scale.

Answers

The figure for which the probability that P is on line BC is 25% is figure (b)

How to determine the figure?

To do this, we calculate the following parameters:

Length of BC and length of the number line

Figure (a)

BC = 3 - 2 = 1

Length = 4 - 1 = 3

The probability of BC is:

P(BC) = 1/3 = 33%

Figure (b)

BC = 3 - 2 = 1

Length = 5 - 1 = 4

The probability of BC is:

P(BC) = 1/2 = 25%

Hence, the figure for which the probability that P is on line BC is 25% is figure (b)

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A change in x produces a change in y.
When the value of y is multiplied by g, the value of y changes by a factor ot k.
Find the value of k.

Answers

The value of k is 6 because I just need answers some more answers

How many yellow tiles are most likely in the bag? Enter the answer in the box. A tile is randomly selected from a bag that contains 10 tiles. The tiles are either blue, green, red, or yellow. After the color is recorded, the tile is placed back in the bag. A tile is pulled 100 times, of which 24 are blue tiles, 12 are green tiles, and 12 are red tiles.​

Answers

The number of yellow tiles that are likely to be in the bag is 5.

How many yellow tiles are in the bag?

The first step is to determine how many times the yellow tile would be picked from the bag: 100 - 24 - 12 - 12 = 52 times

Number of times the yellow tile in the bag = (52/100) x 10 = 5.2 = 5

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Please answer

"What is the cost of an orange?" Sue asked the store clerk. "If you buy two oranges and give me a dime, I will give you forty cents change from two dollars, " replied the store clerk. How much does one orange cost?

Answers

From the calculation done below, it can be seen that the cost of one orange is 85 cents.

How do we determine the cost of a product?

The cost of one orange can be determined as follows:

One dime = 10 cents

2 dollars = 200 cents

Total amount given by Sue to the store clerk = One dime + 2 dollars = 10 cents + 200 cents = 210 cents

Cost of two oranges = Total amount given by Sue to the store clerk –

Change = 210 cents – 40 cents = 170 cents

Cost of one orange = Cost of two oranges / 2 = 170 cents / 2 = 85 cents

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the cafeteria staff made sandwich each sandwich had either rye or white bread either ham or turkey and either cheese or no cheese

Answers

The complete question is

"The cafeteria staff made sandwiches. Each sandwich had either rye or white bread, either ham or turkey, and either cheese or no cheese. The staff made an equal number of each type of sandwich.

The sandwiches were placed on a tray. Without looking, Mary will choose a sandwich.

What are the chances that Mary will get a sandwich with cheese?"

The chances of Mary getting a sandwich with cheese is 1/2.

How to calculate the number of different ways?

The number of different sandwiches is calculated by multiplying all of the possibilities for each material being used.

rye or white bread: 2 options

ham or turkey: 2 options

cheese or no cheese: 2 options

So the number of different sandwiches = 2*2*2 = 8.

4 have cheese and 4 have no cheese, as the staff made an equal number of each type of sandwich.

So, The chances of Mary getting a sandwich with cheese is 4/8 = 1/2.

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One student simplified x5 + x5 to x10 . A second student simplified x5 + x5 to 2x5 . Which student is correct? Explain.

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The second student is correct.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given One student simplified x⁵ + x⁵ to x¹⁰. The second student simplified x⁵+x⁵ to 2x⁵. Since the simplification of (x⁵+x⁵) is equal to 2x⁵. Therefore, the second student is correct.

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Find the slope intercept form of 24 = 4y - 8x

Answers

Answer:

y = 2x + 6

Step-by-step explanation:

The slope-intercept form is  y = mx + c ,

where m is the slope and c is the y-intercept.

So we have to make our equation look similar to the one above.

We can do this by isolating y, by adding 8x to both sides:

4y = 24 + 8x        

Now divide both sides of the equation by 4:

y = 6 + 2x

∴ y = 2x + 6

This equation is of the same form as the one given above, so this will be our solution.

Answer:

y=2x+6

Step-by-step explanation:

Step 1) Add 8x to each side of the equation.

24=4y-8x

+8x     +8x

8x+24=4y

Step 2) Divide all terms by 4 to isolate y

2x+6=y

Optional: Flip equation

y=2x+6

Help.
I need help or else i will be killed

Answers

Answer:

4

Step-by-step explanation:

4*3=12

12*3=36

36*3=108

Answer:

[tex]\boxed{\mathrm{4}}[/tex]

Step-by-step explanation:

Hi student, let me help you out!

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

First, let's take a look at the common ratio, which is 3.

Common ratio ===> the amount we multiply or divide by to obtain the next term in a geometric sequence.

Now that we know the common ratio, let's divide 12 by the common ratio, 3. This gives us 4, which is the missing term

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

[tex]\star\bigstar\underline{\overline{\underline{\overline{\text{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]

[tex]\underline{\rule{300}{4}}[/tex]

As an estimation we are told £3 is €4.
Convert £18 to euros.

Answers

Answer:

€24

Step-by-step explanation:

We can use ratios to solve this.

3:4 = 18:x

Cross multiply: 3x = 18*4

Divide: x = 18*4/3

Simplify: x = 6*4 = 24

Suppose that you increase the height of this cylinder by 10 cm. By how much does the volume increase?

radius = 5 cm, height = 7 cm

Answers

Volume is a three-dimensional scalar quantity. The increase in the volume of the cylinder is 785.398 cm³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the radius of the cylinder is 5 cm, while the height of the cylinder is 7 cm, therefore, the volume of the cylinder,

Volume = πR² × H = π×(5²)×7 = 175π cm³

Now, if the height of the cylinder is increased by 10, then the height of the cylinder will become 17 cm(10+7), therefore, the volume of the cylinder will be,

Volume = πR² × H = π×(5²)×17 = 425π cm³

Now, the increase in the volume will be,

Increase in the volume = 425π  - 175π = 250π = 785.398 cm³

Hence, the increase in the volume of the cylinder is 785.398 cm³.

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After it is planted, a tree grows at a rate of 0.8 meters per year. after 3 years the tree is 3.1 meters tall. write the equation in point-slope form that models the situation. then, predict the height of the tree after 5 years

Answers

The linear function, in point-slope form, that models the situation is:

[tex]y - 3.1 = 0.8(x - 3)[/tex]

Using the function, in 5 years, the height is of 4.7 meters.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In point-slope form, considering a point [tex](x_0, y_0)[/tex], the equation is given by:

[tex]y - y_0 = m(x - x_0)[/tex]

In this problem, we have that the slope and the point are given, respectively, as:

[tex]m = 0.8, (x_0, y_0) = (3, 3.1)[/tex]

Hence the equation is:

[tex]y - 3.1 = 0.8(x - 3)[/tex]

In 5 years, we have that x = 5, hence:

y = 3.1 + 0.8(5 - 3) = 4.7 meters.

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A bag held 3 red marbles, 1 blue marble, and 4 yellow marbles. Lee drew a red marble and did not replace it. What is the probability of drawing a yellow marble next?
A.1/4
B.1/3
C.1/2
D.4/7

Answers

Answer: D.4/7

Step-by-step explanation:

     First, we will find out how many marbles are in the bag.

3 red + 1 blue + 4 yellow - 1 red = 2 red + 1 blue + 4 yellow = 7 marbles

     Now, we will put wanted outcomes over possible outcomes.

[tex]\displaystyle \frac{\text{wanted outcomes, yellow marbles}}{\text{possible outcomes, marbles in the bag}} =\frac{4\text{ yellow}}{\text{7 marbles}} =\text{D. 4/7}[/tex]

Answer:

The answer is 4/7

D

A food truck sells latin american street tacos. The graph shows the number of corn tortillas needed for different numbers of the tacos . How many corn tortillas are needed for four orders of tacos?

Anyone please answer!

Answers

8 tortillas as per the graph
Follow the X line to the right for 4 orders, now go up the Y line to the number of corn tortillas needed indicated by the dot

Answer:

the answer is 8

Step-by-step explanation:

first you look at the graph                                                                                                 try to make a educated guess on were the x and y could be                                  which is close to 8 and 10 soo you subtract it which is 2                                           when you get the 2 you will add that with 6 to make 8!!!

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