OA. Graph D
OB. Graph B
OC. Graph A
OD. Graph C
A
C
& I
of
B
D
SUBMIT

Answer: It should look something like this.

Step-by-step explanation:

The graph of f(x) = (x + 3)(x - 2) is a parabolic function that is the product of two linear factors, (x + 3) and (x - 2).

The graph is given below.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To understand the graph, we can begin by considering the x-intercepts, which are the points where the graph crosses the x-axis.

These occur where the value of f(x) is zero, which happens when either

x + 3 = 0 or x - 2 = 0.

So the x-intercepts are x = -3 and x = 2.

Next, we can consider the leading coefficient, which is 1 in this case.

Since the leading coefficient is positive, the parabola opens upward.

We can also find the vertex of the parabola by completing the square.

We have:

f(x) = x² + x(-2 + 3) - 2(-3)

f(x) = x² + x + 6

Now we can rewrite this in vertex form:

f(x) = (x + 1/2)² + 23/4

So the vertex is (-1/2, 23/4), which is a minimum point on the graph.

Thus,

We can sketch the graph of f(x) = (x + 3)(x - 2) as an upward-opening parabola that crosses the x-axis at -3 and 2 and has a minimum point at (-1/2, 23/4).

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Answer:

r = 21

Step-by-step explanation:

nth of sequence P :

[tex]T_{n} = 4n -2[/tex]

[tex]r^{th} term[/tex] : [tex]4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{2x+4}{x(x+2)(x-4)} =\frac{a}{x} +\frac{b}{x+2} +\frac{c}{x-4} \\2x+4=a(x+2)(x-4) +bx(x-4)+cx(x+2)\\[/tex]

put x=0

0+4=a(0+2)(0-4)+0+0

-8a=4

a=-4/8=-1/2

put x+2=0 or x=-2

2(-2)+4=0+b(-2)(-2-4)+0

12b=0

b=0

put x-4=0 or x=4

2(4)+4=0+0+c(4)(4+2)

24c=12

c=12/24=1/2

[tex]\frac{2x+4}{x(x+2)(x-4)} =\frac{-1}{2x} +0+\frac{1}{2(x-4)} \\\frac{2x+4}{x(x+2)(x-4)} =\frac{-1}{2x} +\frac{1}{2(x-4)}[/tex]

Answer:

2

Step-by-step explanation:

Congruent shapes are 2 shapes that are ewual in size angles and sides, but they can be rotated or moved around in any way

Answer:

A and B

Step-by-step explanation:

Hello!

Parallel lines are lines with the same slope but different y-intercept.

y = mx + b

A:

y = 2x + 3 has a slope of 2 and a y-intercept of 3.

B:

y = 2x - 5 has a slope of 2 and a y-intercept of -5

C:

y = -2x + 3 has a slope of -2 and a y-intercept of 3

Since A and B have the same slope but a different y-intercept, they are parallel lines.

Answer:
1) C
2) D
3) 26
4) A
5) 68
6) Triangle MNL

Explanation:
1) C does not equal to 180. If you add up all the numbers it adds up to 169. Any triangle; interior adds up to 180.
2) When you minus 180 - 29.1 - 80 ; it equals to 70.9.
3) 180 - 32 - 122 = 26. You could also add 32 + 122; getting 154. Then 180 - 154.
4) We see a square box, meaning it's a right triangle. 180 - 90 - 42.7 = 47.3.
5) You can draw a picture to help you and see it visualize it. But it's the same process : 180 - 97 - 15 = 68
6) The whole triangle was 180. Equaling the whole as 108 was wrong.

- Hope this helps!

Answer:

500(10) + 600(2)

Step-by-step explanation:

Answer:

500(10) + 600(2)

Step-by-step explanatio:

500*10+600*2

 5,000+1,200

        6,200

Volume is a three-dimensional scalar quantity. The amount of water that this tank will hold till it is a quarter full is 576.576 ft³.

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

The total volume of the right rectangular prism will be,

Total Volume = 17.6ft × 12.6ft × 10.4ft

                       = 2306.304 ft³

Since the total volume of the right rectangular prism is 2306.304 ft³, the water it will hold will be equal to its volume.

Now, the amount of water that this tank will hold till it is a quarter full is,

Amount of water = Total volume /4

                            = 2306.304ft³ / 4

                            = 576.576ft³

Hence, the amount of water that this tank will hold till it is a quarter full is 576.576 ft³.

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Point (3,0) is system solution.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

We have

y> -2

x + y <4

First inequation:

-5> -2 (incorrect)

Second inequality:

1-5 <4 (correct)

First inequation:

0> -2 (correct)

Second inequality:

0+3 <4 (correct)

First inequation:

-2> -2 (incorrect)

Second inequality:

-1-2 <4 (correct)

First inequation:

5> -2 (correct)

Second inequality:

1+5 <4 (incorrect)

Hence, Point (3,0) is system solution.

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Answer:

1.  25%

2 and 3:  See below.

Step-by-step explanation:

1.  There are 4 letters in the box, all different.  The odds of randomly picking 1 letter is 1/4, or 25%  That is true for any of the letters.

Questions 2 and 3 technically cannot be answered.  In both cases, the selection process involves more than random chance.  The selection of a nurse depends on qualifications such as training and experience.  Winning the math quiz depends on knowledge and practice.  Neither question is a random selection.

If the questions were random, the answers would be:

2.  1/5 or 20% that Eunice gets picked, and

2.  6/10 or 60% that a girl wins

Answer:

None of these

Step-by-step explanation:

See attached image

So

Like that

f(2)

f(3)

As you can see

It's an geometric progression

So the formula is

None of the above

The percentage of Container A that is full after the pumping is complete is; 45.3%

The formula for volume of a cylinder is;

V = πr²h

Volume of Cylinder A is;

V = π × 12² × 13

V = 1872π

Volume of Cylinder B is;

V = π × 8² × 16

V = 1024π

After pumping, volume in container A will be;

V_new = 1872π - 1024π

V_new = 848π

Percentage is;

848π/1872π * 100% = 45.3%

Thus, 45.3% of Container A is full after the pumping is complete.

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Answer:

Father=36 years old

Step-by-step explanation:

5 people 4 children and a father

average age=12

add the ages

3+5+6+10=24

24+12=36

check the work

36 +24=60

60/5=12

answer=36

Answer:

36 years old

Step-by-step explanation:

The average age of father and four children can be expressed in mathematics as:

[tex]\displaystyle \large{\dfrac{f+c_1+c_2+c_3+c_4}{5}}[/tex]

The above expression is what you call average value or mostly known as mean - the mean value is sum of all data values divided by number of data values. The formula reference for mean/average value is:

[tex]\displaystyle \large{\dfrac{x_1+x_2+x_3+...+x_n}{n} = \dfrac{1}{n} \sum_{i=1}^n x_i}[/tex]

Determine or let the following be:

It is also given in the question that children’s ages are 3, 5, 6 and 10. Hence:

[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} = 12}[/tex]

From above, it is also given that average of father’s age and children’s age is 12 years old - that now gives us an equation. What we have to do now is to solve for f.

First, multiply 5 both sides to get rid of denominator.

[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} \cdot 5 = 12 \cdot 5}\\\\\displaystyle \large{f+3+5+6+10=60}[/tex]

Evaluate 3+5+6+10 which equals 24.

[tex]\displaystyle \large{f+24=60}[/tex]

Next, subtract both sides by 24 to isolate f-term.

[tex]\displaystyle \large{f+24-24=60-24}\\\\\displaystyle \large{f=36}[/tex]

Finally, we have received the value of term which is f = 36. We know that the term represents father’s age and therefore, father’s age is 36 years old!

If you have any doubts, please let me know in the comment!

x=13 and don't forget to mark me brainlist!

Answer:

25.5

Step-by-step explanation:

I did the same assignment

Answer:

  410.1 m

Step-by-step explanation:

In a right triangle, the ratio of the side opposite an acute angle to the side adjacent to that acute angle is the tangent of the angle.

  Tan = Opposite/Adjacent

__

  tan(C) = BA/BC

  tan(34°) = BA/(608 m) . . . . . . using the tangent relation with given values

Multiplying both sides of the equation by (608 m) gives ...

  (608 m)tan(34°) = BA

  BA ≈ 410.101 m ≈ 410.1 m . . . . . rounded to tenths

_____

Additional comment

Other relations in the right triangle are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

These relations are collected in the mnemonic SOH CAH TOA.

Amir should buy the computer in Paris

Amir would pay the most sales tax in Maryland.

Amir would pay $60 in sales tax in Washington DC

The complete question is

Amir lives in Washington, DC. He wants to buy a new computer for college, and it will cost him $1,000. In Washington, DC, the sales tax rate is 6 percent. In a nearby town in paris the sales tax rate is 5 percent. A few miles away in Maryland, the sales tax rate is 9 percent. To spend the least amount total, Amir should buy the computer in . Amir would pay the most sales tax in . Amir would pay $60 in sales tax in

A sales tax is a tax paid to a governing body for the sales of certain goods and services.

In Washington, DC, the sales tax rate is 6 percent.

Paris, the sales tax rate is 5 percent.

Maryland, the sales tax rate is 9 percent.

1. To buy the computer he should prefer Paris

2. To pay the most sales tax he should prefer Maryland.

3. To  pay $60 in sales tax in he should prefer Washington DC.

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Answer:

virginia, maryland, washington

Step-by-step explanation:

edge

Answer:

  HA congruence postulate

Step-by-step explanation:

In order to show W is equidistant from A and Z, we must demonstrate that WA ≅ WZ. The HA congruence postulate can be used for that purpose.

__

WX bisects AXZ, so ∠WXA≅∠WXZ by the definition of an angle bisector. By the reflexive property of congruence, WX≅WX. The angles at A and Z are given as right angles.

So, we have triangles WAX and WZX that are right triangles with congruent hypotenuse and corresponding angle. These are the preconditions for the application of the HA congruence postulate. That postulate says the triangles WAX and WZX are congruent, so ...

WA ≅ WZ by CPCTC. Hence W is equidistant from the outside rays.

__

Additional comment

The definition of distance from a point to a line is the perpendicular distance from the point to the line. In this geometry, the perpendicular distances from W to the outside rays are the lengths of segments WA and WZ. That is why we need to show those lengths are the same.

Answer: 1.601 × 10^-1

Step-by-step explanation: 1 minute = 60 seconds or 1 second = 1/60 minutes

9.63 seconds = 9.63/60 minutes

9.63/60 = 963/6x1000 = 321/2x1000

=160.1/1000=1.601/10 = 1.601 x 10^-1 minutes :)

Answer:

1. < 3
2. < 8
3. < 5
4. < 4
5. < 6
6. < 7
7. < 2
8. < 1
9. < 8

< = Angle

Answer:

A B and C

Step-by-step explanation:

The x-intercept of the function [tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex] is -3

The function is given as:

[tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex]

The x-intercept is when h(x) =0.

So, we have:

[tex]3 * \sqrt[3]{x - 5} +6 = 0[/tex]

Subtract 6 from both sides

[tex]3 * \sqrt[3]{x - 5} = -6[/tex]

Divide both sides by 3

[tex]\sqrt[3]{x - 5} = -2[/tex]

Take the cube of both sides

x - 5 = -8

Add 5 to both sides

x = -3

Hence, the x-intercept of the function is -3

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Answer:

Step-by-step explanation:

^^

Answer:

The answer is [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

A.  20

B. 20 (what is the 30 thing)

C. 28

D. 36

E. 20

F. 96

Answer:

You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:

1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?

2. What role does creativity play in "The Bat-Poet"?

3. How does the character of Squeaky change over the course of "Raymond's Run"?

4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.

You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.

• Submit completed pre-writing and outline documents.

• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.

• Use transitions appropriate to the pattern of organization.

• Use vocabulary to create tone and voice.

• Cite primary source (quotation).

• Submit completed revision checklist.

• Vary sentence structure.

• Create sentences with parallel structures.

• Use technology in the writing process.

Step-by-step explanation:

Answer:

20° and 30°

Step-by-step explanation:

the sum of the 4 angles in a quadrilateral = 360°

given 2 angles are 200° and 110° , then remaining 2 angles sum to

360° - 200° - 110° = 360° - 310° = 50°

sum the parts of the ratio, 2 + 3 = 5 parts , then

1 part = 50° ÷ 5 = 10° , so

2 parts = 2 × 10° = 20°

3 parts = 3 × 10° = 30°

the two angles are 20° and 30°

Answer:

[tex]a= -\dfrac 23\\\\ b = -8\\\\ c = -47[/tex]

Step-by-step explanation:

[tex]b(x) = -\dfrac 23(x+6)^2 -23\\\\\\~~~~~~=-\dfrac 23(x^2 +2\cdot 6 \cdot x +6^2) -23\\\\\\~~~~~~=-\dfrac 23(x^2 +12x +36) -23\\\\\\~~~~~~=-\dfrac 23 x^2 - \dfrac{24}3 x - \dfrac{72}{3}-23\\\\\\~~~~~~=-\dfrac 23 x^2 -8x-24-23\\\\\\~~~~~~=-\dfrac 23x^2 -8x -47\\\\\text{By comparing}~ -\dfrac 23x^2 -8x -47~\text{with the standard form, }~ ax^2 +bx +c,\\\\a= -\dfrac 23,~ b = -8~ \text{and}~ c = -47[/tex]

Using the normal distribution, it is found that there is a 0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 8.4, \sigma = 1.8, n = 32, s = \frac{1.8}{\sqrt{32}} = 0.3182[/tex]

The probability that their mean repair time is less than 8.9 hours is the p-value of Z when X = 8.9, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8.9 - 8.4}{0.3182}[/tex]

Z = 1.57

Z = 1.57 has a p-value of 0.9418.

1 - 0.9418 = 0.0582.

0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.

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