Graph the given function.
f(x)=(x-1)^3+2

Hi :)

Radius is half the diameter

4.6 mm (2) = 9.2 mm

The diameter of the circle is 9.2 mm.

Answer: (1, 2)

Concept:

There are three general ways to solve systems of equations:

Since the question has specific requirements, we are going to use elimination

Solve:

Given expressions

x + 5y = 11

-x + 4y = 7

Add both equations together to elimination [x] variable

(x + 5y) + (-x + 4y) = 11 + 7

x - x + 5y + 4y = 18

9y = 18

Divide 9 on both sides

9y / 9 = 18 / 9

[tex]\boxed{y=2}[/tex]

Find the x value

x + 5y = 11 ⇔ Given equation

x + 5(2) = 11 ⇔ Substitute values of y

x + 10 = 11 ⇔ Simplify by multiplication

x + 10 - 10 = 11 - 10 ⇔ Subtract 10 on both sides

[tex]\boxed{x=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Stack the two equations and add them together as if they were multi-digit numbers. That will eliminate the x and then you can solve for the y. Knowing y you can then go back and solve for x.

Step-by-step explanation:

x + 5y = 11

-x + 4y = 7

---------------- "Add" the equations above to get the equation below.

9y = 18

Now you can divide both sides by 9 to see that y is equal to 2.

Now that you know that y = 2 you can substitute y in either of the two original equations. I'll use the first.

x + 5(2)= 11

x + 10 = 11

x = 1

Answer:

8/3 or 2.6667

Step-by-step explanation:

when you divide fractions you use a technique called KCF

K = keep

C = change

F = flip

You write the equation [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{4}[/tex]

you keep [tex]\frac{2}{3}[/tex]

you change the symbol, so from ÷ you change it to x

and flip the last fraction, so you would have  [tex]\frac{4}{1}[/tex]

then you solve it

[tex]\frac{2}{3}[/tex] x  [tex]\frac{4}{1}[/tex] = [tex]\frac{8}{3}[/tex]

The result of 2/3 divided by 1/4 in simplest form is 8/3 .

Division: It is one of the four basic mathematical operation, the other three being addition, subtraction, multiplication.

Given, division of [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{4}[/tex].

Division of fractional terms:

[tex]=\dfrac{\frac{a}{b}}{\frac{c}{d}}\\= (a)\times(d)/(b)\times(c)[/tex]

Apply, division process of fractional terms.

[tex]=\dfrac{\frac{2}{4}}{\frac{1}{3}}\\ = (2)\times(4)/(1)\times(3)[/tex]

[tex]= \frac{8}{3}[/tex]

Know more about division,

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Answer:

if it's 6 ft tall cast a 4 ft long shadow there's a difference of two feet so you look at 23 ft Shadow add two ft and u have 25 ft tall

Answer:

x=12

Step-by-step explanation:

2x-15 + 2x-6 = 15

4x = 36

x = 9

2 x 9 - 6 = 12

[tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Step-by-step explanation:

[tex](12 {m}^{7} - 36m) \div 6m[/tex]

➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]

➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]

➡️ [tex](2 {m}^{7} - 6m)m[/tex]

➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Answer:

d= 7.81

r= 3.905

Step-by-step explanation:

Answer:

The correct answer is D

Take D

Answer:

100%

Step-by-step explanation:

This question doesn't really make sense but technically it's 100%

Answer:

Step-by-step explanation:

The unknown number is reflected as n.

The sum of 5 and four times a number is 32:

Four less than the square of a number is 12:

The product of 3 and four more than a number is 20:

Answer:

157.5

Step-by-step explanation:

14×180/16

= 315/2

= 157.5

Answer:

Step-by-step explanation:

16 sides  

n-2=14

14x 180 = 2250

2250/16 =157.5 = 158

Answer:

Step-by-step explanation:

The question is not totally clear. I will assume that the spinner has 2 colors, red and blue.

Your chances of rolling a 3 are 1 in 6 = 1/6

Your chance of getting blue is 1/2

Your chances are 1/2 * 1/6 = 1/12

As a decimal that is 0.0833333

As a % it is 8.3333 %

Answer:

Here is your answer . Hope this is helpful to you.

Answer:

132

Step-by-step explanation:

First you need to find the area of both regions (shaded and not shaded)

To find the shaded regions area multiply length by width

20 x 8 = 160

Then find the area of the unshaded region

7 x 4 = 28

Finally subtract the unshaded region from the shaded region

160 - 28 = 132

Answer:0.50

Step-by-step explanation:

Range= Highest number - lowest number

=1.50 -1.00= 0.50

Answer:

Option B is correct

Step-by-step explanation:

Let the number be x

Second number = x + 1

Sum = 85

x + x + 1 = 85

2x + 1 = 85

2x = 85 - 1

2x = 84

x = 84/2 = 42

Numbers are 42 and 43

Answer:

B) x+(x+1)=85

Step-by-step explanation:

Consecutive means in a row

Let x be the first integer

x+1 is the next integer

x+x+1 = 85

Answer:

x = 3

13 miles between Madison and Jamie's house.

Step-by-step explanation:

If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.

(3x + 2) + (3x + 4) = 9x - 3

Let's add up the terms first

3x + 2 + 3x + 4 = 9x - 3

6x + 6 = 9x - 3

Let's move the variables to the right side by subtract 6x from both sides

6x + 6 = 9x - 3

-6x         -6x

6 = 3x - 3

Add 3 to both sides

6 = 3x - 3

+3        +3

9 = 3x

Isolate the variable, x, by dividing both sides by the coefficient, 3.

9/3 = 3x/3

x = 3

Now we need to find the distance between Madison's and Jamie's house.

3x + 4

Plug in 3 in place of the x

3(3) + 4

9 + 4 = 13

Answer:

Step-by-step explanation:

If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.

The financial statement performed by Snell Corporation shows how the revenue recognition provides financial statement users(i.e. the client that uses Snell Co. service in May, June, and July) with relevant information regarding the services associated with revenue from customer contracts.

In the given case, the Snell Co. service charge was hiked in May since the entire service income must be accounted for in May. The amount owed from a client is seen as a current asset on the balance sheet, and once the amount is received from a client, it is removed off from the current asset. Thus it is added to the zero dollars ($0) company's cash balance. In this case, the cash collected in June and July is not recorded as revenue.

We can conclude that the monthly revenue recorded from Snell Co. performance and services for the client in May, June, and July for this service is as follows:

Months                               Revenue

May                                     $1000

June                                       0

July                                         0

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Revenue is only earned after the required obligation (goods delivered or service rendered) has been fulfilled. From the question, we noted that Snell Co. performs and completes services for a client in May hence the revenue was earned in May irrespective of when money was received for the service rendered.

As such revenue earned in;

May is $1,000

June is $0

July is $0

for the service rendered

Answer:

please give me brilliant answer

Boundless Algebra

Quadratic Functions and Factoring

Graphs of Quadratic Functions

Parts of a Parabola

The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.

LEARNING OBJECTIVES

Describe the parts and features of parabolas

KEY TAKEAWAYS

Key Points

The graph of a quadratic function is a U-shaped curve called a parabola.

The sign on the coefficient aa of the quadratic function affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up).

The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex.

The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function.

Key Terms

vertex: The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function.

axis of symmetry: A vertical line drawn through the vertex of a parabola around which the parabola is symmetric.

zeros: In a given function, the values of xx at which y=0y=0, also called roots.

Recall that a quadratic function has the form

f(x)=ax2+bx+cf(x)=ax2+bx+c.

where aa, bb, and cc are constants, and a≠0a≠0.

The graph of a quadratic function is a U-shaped curve called a parabola.  This shape is shown below.



Parabola : The graph of a quadratic function is a parabola.

In graphs of quadratic functions, the sign on the coefficient aa affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up). This is shown below.



Direction of Parabolas: The sign on the coefficient aa determines the direction of the parabola.

Features of Parabolas

Parabolas have several recognizable features that characterize their shape and placement on the Cartesian plane.

Vertex

One important feature of the parabola is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.

Axis of Symmetry

Parabolas also have an axis of symmetry, which is parallel to the y-axis. The axis of symmetry is a vertical line drawn through the vertex.

yy-intercept

The y-intercept is the point at which the parabola crosses the y-axis. There cannot be more than one such point, for the graph of a quadratic function. If there were, the curve would not be a function, as there would be two yy values for one xx value, at zero.

xx-intercepts

The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of xx at which y=0y=0. There may be zero, one, or two xx-intercepts. The number of xx-intercepts varies depending upon the location of the graph (see the diagram below).



Possible xx-intercepts: A parabola can have no x-intercepts, one x-intercept, or two x-intercepts

Recall that if the quadratic function is set equal to zero, then the result is a quadratic equation. The solutions to the equation are called the roots of the function. These are the same roots that are observable as the xx-intercepts of the parabola.

Notice that, for parabolas with two xx-intercepts, the vertex always falls between the roots. Due to the fact that parabolas are symmetric, the 

Answer:

9 miles

Step-by-step explanation:

I have to ask here too: are you sure you have this description right ? because cm and miles are usually not used in combination.

but fine.

1 cm <-> 4.5 miles

2 cm <-> ? miles

remember questions like "if 1 apple costs $1.10, how much are 2 apples or 5 or 10 apples ?"

you remember what you had to do ?

pretty common sense : you multiplied the price by the same number that you multiplied the unit count number with. so, in my example, by 2, by 5 and by 10. and you got $2.20, $5.50 and $11.00 as prices.

so, what do you think we need to do to calculate the miles that are residents by 2 cm on the map ?

right ! we need to multiply by 2 - because 2×1 = 2.

so, 4.5 × 2 = 9 miles

yes, if 1 cm on the map stands for 4.5 actual miles, then 2 cm stand for 2×4.5 = 9 actual miles.

Answer:

Hence, total surface area of the pyramid is 360 cm².

Step-by-step explanation:

We first calculate slant height L of the pyramid with base s=10 cm and height 12 cm:

L²=H²+(s/2)²=122+(10/2)²=122+5²

=144+25=169⇒

L=(169)^1/2=13

The perimeter of the base is P=4s, since it is a square, therefore, 

P=4×10=40 cm

The general formula for the lateral surface area of a regular pyramid is LSA=1/2Pl where P represents the perimeter of the base and l is the slant height.

Since the perimeter of the pyramid is P=40 cm and the slant height is l=13 cm, therefore, the lateral surface area is:

LSA=1/2Pl=1/2×40×13=260 cm²

Now, the area of the base B=s² with s=10 cm is:

B=s²=10²=100 cm²

The general formula for the total surface area of a regular pyramid is TSA=1/2Pl+B where P represents the perimeter of the base, l is the slant height and B is the area of the base.

Since LSA=1/2Pl=260 cm² and area of the base is B=100 cm², therefore, the total surface area is:

TSA=1/2Pl+B=260+100=360 cm²

Hence, total surface area of the pyramid is 360 cm².

Answer:

1 as

3/5 × 2/2 = 6/10

Step-by-step explanation:

Hope it helps

Answer: 2 pens and 4 pencils.

Step-by-step explanation:

If you buy 2 pens it is equal to $2.

If you buy 4 pencils it is also equal to $2.

2+2=4

and 2 pens and 4 pencils is equal to 6 in total.

Answer

[tex]2[/tex] pens and [tex]4[/tex] pencils were bought for [tex]\$4[/tex] such that [tex]6[/tex] pens and pencils are bought for [tex]\$4[/tex] and each pen costs [tex]\$1[/tex] and each pencil costs [tex]\$0.50[/tex].

The equation whose variables' highest power is one is known as linear equation.

To find the unknown quantities, always assume it to be a variable and then form the equation based on the conditions given in the question.

Let the number of pens bought be [tex]x[/tex].

and the number of pencils bought be [tex]y[/tex].

The total number of pens and pencils [tex]=6[/tex].

So, the first equation is,

[tex]x+y=6[/tex]

[tex]x=6-y[/tex] ... (i)

And the costs per pen and pencil is [tex]\$1[/tex] and [tex]\$0.50[/tex] respectively.

So, the second equation is,

[tex]x+0.5y=4[/tex] ... (ii)

Now, solve the pair of linear equations.

Put the value of [tex]x[/tex] in the equation (ii),

[tex]6-y+0.5y=4\\-0.5y=-2\\y=4[/tex]

So,

[tex]x=6-4\\x=2[/tex]

Thus, [tex]2[/tex] pens and [tex]4[/tex] pencils were bought for [tex]\$4[/tex].

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Step-by-step explanation:

The angle between vectors is given by

[tex]\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|}[/tex]

The magnitudes for the vectors are as follows:

[tex]|\vec{\textbf{a}}| = \sqrt{a_x^2 + a_y^2 + a_z^2}[/tex]

[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 +(-5)^2 + (3)^2} = 6.16[/tex]

[tex]|\vec{\textbf{b}}| = \sqrt{b_x^2 + b_y^2 + b_z^2}[/tex]

[tex]\:\:\:\:\:\:\:= \sqrt{(3)^2 + (1)^2 + (4)^2} = 5.10[/tex]

The dot product between the vectors is

[tex]\vec{\textbf{a}}\cdot \vec{\textbf{b}} = (2)(3) + (-5)(1) + (3)(4) = 13[/tex]

Therefore, the angle between the two vectors is

[tex]\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|} = \dfrac{13}{(6.16)(5.10)}[/tex]

or

[tex]\theta = 65.56°[/tex]

Answer:

range is the y part and domain is the x so the range is the y coordinates

-6,-3,-2,-2,1,4

Step-by-step explanation: