If f(x) = x^3, what is the equation of the graphed function?

A. y = f(x-3) - 2
B. y = f(x+3) - 2
C. y = f(x+2) - 3
D. y = f(x-2) + 3

Answer:

the answer is b

Step-by-step explanation:

Answer:

4. 5. 3. are correct im pretty sure

Step-by-step explanation:

Statements 1, 2, and 3 about f(x) and g(x) are "true".

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.

x  : 1   3   5   7   9

g(x): 3  7   11   15   19

Here the slope of the function g(x) is 2.

This means statements 1 and 2 are false because slopes are different.

To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.

Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.

The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.

To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.

Therefore, the true statements are 2, 3, and 4.

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Answer:

the equation is in form

y=mx+b where

m=slope

and

b=y-int (the y value for the vertex)

first we look to see what the y value is for the point where x=0 and we can see that it is 5 so b=5

then we look at the slope, slope it the amont of units up then to the side are needed to reach the next point, in this case the line goes up 1 then to the right 1 so the slope is 1/1 (1) so the full equation is

y=x+5

Step-by-step explanation:

Answer:$15.66

Step-by-step explanation:

Step-by-step explanation:

The approximate tip is - 12.30$

Because bill is 81.79$

and tip - 15%

therefore bill amount divided by 15/100

==> 81.79* 15% is 12.30$

Step-by-step explanation:

There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.

Common difference = (16-12)/(5-3) = 2.

Hence number of white tiles = 2n + 6.

Answer:

x=15

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Looking at the graph, we can see the roots at two points

these are points x = 4 and x = 5

This can be written in their linear forms as;

x-4 and x-5

Finding the products of both, we have

x(x-5) -4(x-5)

= x^2 -5x -4x + 20

= x^2 - 9x + 20

Answer:

B

Step-by-step explanation:

it is

Answer:

no solution

Step-by-step explanation:

Step-by-step explanation:

The equation of the line is y = 1.5x + 3.

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

Answer:

Slope m = 6

y-intercept b = -5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

[Slope-Intercept Form]   y = 6x - 5

Step 2: Break Function

Identify Parts

Slope m = 6

y-intercept b = -5

Answer:

[tex]slope:6\\y-intercept:-5[/tex]

Step-by-step explanation:

Given the line:

[tex]y=6x-5[/tex]

We can first refresh our memory with slope-intercept form:

[tex]y=mx+b[/tex]

In slope-intercept form:

[tex]m=slope\\b=y-intercept[/tex]

With that information, using the given equation for the line, we can conclude that:

[tex]m=6[/tex]

[tex]b=-5[/tex]

Answer:

x = 0

Step-by-step explanation:

In order to solve for x, first combine both fractions on the left

To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4

It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:

8x+24/32

Multiply 4x-2/8 by 4, you will get:

16x-8/32

Now you can add 16x-8/32 + 8x+24/32, you would get:

24x+16/32

Now you can start to solve for x

Your new equation is 24x+16/32 = 1/2

To solve for x, first multiply diagonally, then solve like a regular equation.

Multiply 24x+16 by 2 to get 48x+32

Then multiply 32 by 1 to get 32

Your new equation is 48x+32=32

Now subtract 32 by 32 to get 48x=0

Now divide 48 by 0 to get x=0

Answer: ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.

Answer:

9:1, 18:2, 27:3, 36:4, 45:5 or 1,2,3,4,5

Step-by-step explanation:

This is the answer because:

1) We can see that eah ratio is being multiplied with the next number. We can say this because 9 x 2 = 18 and 1 x 2 = 2 which is 18:2 just like that 9 x 3 = 27 and 1 x 3 = 3 which makes the ratio 27:3.

2) If we keep on doing this, 9 x 4 = 36 and 1 x 4 = 4 which makes the ratio 36:4.

Therefore, the answer is 4.

Hope this helps! :D

Miami gets 6.12 more inches of rain.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68

While it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.

Hence, For Miami;

= 1.61 + 2.24 + 2.99 + 3.15 + 5.35 +9.68

= 25.02

For Tampa;

= 2.24 + 2.8 + 3.03 + 2.05 + 2.09 + 6.69

= 18.90

Thus, Find difference as;

= 25.02 - 18.90

= 6.12

Therefore, Miami gets 6.12 more inches of rain.

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Answer:

45 meters per 30 seconds

Step-by-step explanation:

To figure this question out you first gave to find the unit rate of meters per second by dividing 105 by 70.

105 divided by 70 = 1.5

So Susan can swim 1.5 meters per second.

Then we multiply that amount by 30 to find the number of meters she can swim in 30 seconds.

1.5 x 30 = 45 meters

So, in conclusion, Susan can swim 45 meters per 30 seconds

Step-by-step explanation:

Let x be the price of an adult ticket.

Then 0.5x is the price of a child ticket.

We have 2x + 4(0.5x) = £152, therefore 4x = £152 and x = £38.

Hence the price of an adult ticket is £38.

Answer:

Step-by-step explanation:

2a+4c=152

2c=a

4c+2a=152

2c-a=0

Use simultaneous equation

Substitute 2c=a

                  c=a divided by 2 in the first equation and find value of a and c

9514 1404 393

Answer:

Step-by-step explanation:

The measure of an arc is the measure of the corresponding central angle.

__

Short arc AB is shown as subtending a central angle of 102°, so the measure of arc AB is 102°.

__

The sum of arc measures in a circle is 360°, so the measure of arc ADB is 258°, the value that adds with 102° to make 360°.

Given:

The factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex]  of a ton away as samples.

To find:

what fraction of a ton did they give away?

Solution:

According to the question, the factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex] of a ton away as samples. So,

[tex]\text{Samples}=\dfrac{1}{3}\left(\dfrac{1}{9}(1\text{ ton})\right)[/tex]

[tex]\text{Samples}=\dfrac{1}{3}\times \dfrac{1}{9}\times (1\text{ ton})[/tex]

[tex]\text{Samples}=\dfrac{1}{27}\times (1\text{ ton})[/tex]

[tex]\text{Samples}=\dfrac{1}{27}(1\text{ ton})[/tex]

So, samples is [tex]\dfrac{1}{27}[/tex] of a ton.

Therefore, they give away [tex]\dfrac{1}{27}[/tex] of a ton as samples.

Answer: 1. 4

2. 12

3. 6

4. 8

Step-by-step explanation:

Answer:

g(x): horizontal compression

h(x): vertical stretch

p(x): vertical compression

w(x): horizontal stretch

Step-by-step explanation:

g(x): horizontal compression

h(x): vertical stretch

p(x): vertical compression

w(x): horizontal stretch

Answer:

Independent: videos rented; Dependent: total cost; f(v) = 2.5v + 25

Step-by-step explanation:

plz mark as brainliest i tryed my best im sure its right

Answer:

15.13cm

Step-by-step explanation:

From that above question:

We are told that:

Lateral surface area of a right circular cone : πr√r² + h²

We are give the following parameters:

Lateral surface area = 236.64cm²

Radius = 4.75cm

We are to find the height

Making h the subject of the formula

h = √[(A/r)² - πr²]/π

h = √[(236.64/4.75)²- π ×4.75²]/π

h = 15.12975 cm

Approximately to the nearest hundredth = 15.13cm