The box and whisker plot displays a set of data obtained from a marketing survey. Drag each item to the appropriate position on the number line. Drag the extra item to the box not associated with the number line.

Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)

To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.

4x^2 - 7x - 15 = 0

4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7

4x^2 - 12x + 5x - 15 = 0

4x(x - 3) + 5(x - 3) = 0

(4x + 5)(x - 3) = 0

4x + 5 = 0

x = -5/4

x - 3 = 0

x = 3

Part B: minimum, (7/8, -289/16)

The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.

To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.

b = -7

a = 4

x = -(-7) / 2(4) = 7/8

Now that we know the x-value, we can plug it into the function and solve for the y-value.

y = 4(7/8)^2 - 7(7/8) - 15

y = 4(49/64) - 49/8 - 15

y = 196/64 - 392/64 - 960/64

y = -1156/64 = -289/16 = -18 1/16

Part C:

First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.

Hope this helps!

Answer:

Give the other guy brainliest

Step-by-step explanation:

Part A: The x-intercepts are (-5/4, 0) and (3, 0)

0=4x^2-7x-15

0=4x^2-12x+5x-15

0=4x(x-3)+5(x-3)

0=(4x+5)(x-3)

Basic math:

x=-5/4

x=3

Part B: The vertex is going to be minimum because if a>0, then the parabola opens up and it is a minimum (a as in ax^2+bx+c).

In order to find the vertex's coordinates, we can use -b/2a. In the equation, b=-7, and a=4. The formula would look like or 7/8. We now know the x coordinate. We can use that to find the y value.

y=4(7/8)^2-7(7/8)-15=y=18  =-18.0625=289/16

Part C: Graph the x-intercepts found in part A, then graph the vertex found in part B. Then graph a U shape that opens up going through all the points to make the parabola. Because it is positive, the U will face up, not down.

answer: x < 8

Step-by-step explanation: the inequailty is 100 + 7.55x < 160 if you subtract 100 on both sides you get 7.55x < 60 divide 7.55 you should get 7.947 which rounds up to 8 so your answer would be x < 8

Answer:

Percentage is a part of a whole. The percentage change in the number of paper clips is 12.5%.

Given to us

Number of Paper clips Initialy= 72

Number of Paper clips now = 63

We know that the paper clip, in the beginning, was 72 but later on it was reduced to 63. therefore, the paper clips were reduced from the initial value.

\text{Percentage change} =\rm \dfrac{Initial\ value\ - final\ value}{Initial\ value} \times 100Percentage change=

Initial value

Initial value −final value

×100

Substitute the value,

\text{The percentage change in the paperclip } =\rm \dfrac{Initial\ value\ - final\ value}{Initial\ value} \times 100The percentage change in the paperclip =

Initial value

Initial value −final value

×100

\begin{gathered}\begin{aligned}\text{The percentage change in the paperclip } &=\rm \dfrac{72-63}{72} \times 100\\\\&= 12.5\% \end{aligned}\end{gathered}

The percentage change in the paperclip

=

72

72−63

×100

=12.5%

Hence, the percentage change in the number of paper clips is 12.5%.

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Step-by-step explanation:

THIS ANSWER IS CORRECT

BRAIN LESS ANSWER

Answer:

1) y=3 (0,3)

2) y=7 (4,7)

3) y=8 (5,8)

4) y=9 (6,9)

Step-by-step explanation:

These are the answer because you are just adding 3 to the x coordinate which will be the number for the y coordinate.

Answer:

I need the table, if you give the table ill answer it right away.

Step-by-step explanation:

Answer:

2 x 10^3 times

Step-by-step explanation:

-lukelaws

I hope I helped if I did please mark me brainliest!

Answer:

See below ~

Step-by-step explanation:

A)

B)

C)

D)

E)

Answer:

A, B and C are correct

Step-by-step explanation:

[tex](-a)(b)=-ab[/tex]

[tex](-a)(-b)=ab[/tex]

[tex]\sf A) \quad 3(-18)(5)=3(-90)=-270[/tex]

[tex]\sf B) \quad (-7)(-3)(10)=7 \cdot 3 (10)=21(10)=210[/tex]

[tex]\sf C) \quad (4)(-25)(-10)=(4)(25 \cdot 10)=(4)(250)=1000[/tex]

[tex]\sf D) \quad (-3)(-5)(8)=(3 \cdot 5)(8)=(15)(8)=120[/tex]

[tex]\sf E) \quad (-10)(-10)(-10)=(10 \cdot 10)(-10)=(100)(-10)=-1000[/tex]

Answer:

4. 30 ft

5. 4m

6. 32 mm

Step-by-step explanation:

Diameter = 2(radius)

Since they give the radius in all of them, you multiply the radius by 2 for all.

4. 15 * 2 = 30 ft

5. 2 * 2 = 4 m

6. 16 * 2 = 32 mm

Answer:

4. 30 ft          5. 4m      6. 32 mm

Step-by-step explanation:

Answer:

k&F 20 degrees

Step-by-step explanation:

hope it helps

Answer: 3: 50.24

Step-by-step explanation: 3: because to find the circumferrence you would do 3.14×8 the radius 25.12×2= 50.24, now with that try the other 2

Answer:

volume=Length x width x height

so area is Length x width, therefore you would just take 2,025 and divide by 9 to get 225 sq. ft for the area.

Step-by-step explanation:

Answer:

227 square feet

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

V = Bh

where B is the area of the base, and h is the height.

Filling in the given information, we have ...

2043 ft³ = B·(9 ft)

Dividing by the coefficient of B gives its value:

B = (2043 ft³)/(9 ft) = 227 ft²

The area of the floor is 227 square feet.

I hope this helped have a great day

Answer:

57

Step-by-step explanation:

There's three shapes, 2 triangles and 1 rectangle.

1. To find the area of a rectangle multiply the legth x width, so 5*2, which is 10.

2. To find the area of a traingle multiply the length and width, and then divide that by two. For the smaller triangle do 6*5, which is 30, and divide that by 2 for 15.

3. The big triangle shows the length of one side but not on the other. Because the length of the rectangle is the same on both sides, and the length 3 and 5 are on the same line, the other length of the large triangle is 8.

4. 8*8 is 64, and dividing that by 2 is 32.

5. Add all of the numbers: 10+15+32, which is 57.

The area of a 2D form is the amount of space within its perimeter. The total area of the given figure is 57 inches².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Let the given figure be divided into three parts. Such that the triangle on the left side or the bigger triangle is represented by A and the triangle on the right side of the smaller triangle is represented by B. The area of the given shape can be written as,

Area of triangle A = 1/2 × Height of triangle A × Base of the triangle A                               = 1/2 × 8 inches × 8 inches

                              = 32 inches²

Area of rectangle = Length × Breadth

                             = 5 inches × 2 inches

                             = 10 inches²

Area of triangle B = 1/2 × Height of triangle B × Base of the triangle B                                         = 1/2 × 5 inches × 6 inches

                             = 15 inches²

Further, the total area of the shape can be written as,

Total area = 32 inches² + 10 inches² + 15 inches²

                 = 57 inches²

Hence, the total area of the given figure is 57 inches².

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Answer:

this is an obtuse angle

Step-by-step explanation:

a picture for proof

Answer:

It's 50,000 times bigger.

Step-by-step explanation:

3×10¹⁵ ÷ 6×10¹⁰ = (3 ÷ 6)×(10¹⁵÷10¹⁰) = 0.5×10¹⁵⁻¹⁰ = (5×10⁻¹)×10⁵ = 5×10⁻¹⁺⁵ = 5×10⁴ It is 5×10⁴ (= 50,000) times bigger.

Answer:

71.43%

Step-by-step explanation:

$77___100%

$55___x=71.43%

$55*100/$77 = 71.43%

Answer:

its A beacuse

Step-by-step explanation:

Simplifying

41n(7x) = 8

Remove parenthesis around (7x)

41n * 7x = 8

Reorder the terms for easier multiplication:

41 * 7n * x = 8

Multiply 41 * 7

287n * x = 8

Multiply n * x

287nx = 8

Solving

287nx = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '287x'.

n = 0.02787456446x-1

Simplifying

n = 0.02787456446x-1

The choice that matches the graph of the function as is defined to Graph A.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

The given function are;

f(x)= 2 ,if 2 < x ≤ 4

f(x)= 4, if 4 < x ≤ 6

f(x)= 6  ,if 6 < x ≤ 8

This means that how we get the staircase pattern as shown in graph A. This is considered a piecewise function since we're graphing pieces of various other functions.

Hence, the choice that matches the graph of the function as is defined to Graph A.

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Answer:

13/18

Step-by-step explanation:

im a math teacher at k12 online school

Explanation:

1) Draw a table

+      1       2      3      4      5      6

1     2      3      4      5      6      7

2     3      4      5      6      7      8

3      4      5      6      7      8      9

4      5      6      7      8      9      10

5     6      7      8      9      10      11

6      7      8      9      10      11       12

2) Then you count how many are above 5 (not in bold). I got 26, so this will be your numerator.

3) Finally, for the denominator, do 6x6 which is 36.

Answer:

Your answer as a fraction will be 26/36 (if asked to simplify, then it's 13/18)

The height of a cone with a volume and base area of 2,144.7 cubic inches and 201.1 square inches respectively is 32 inches

volume of a cone = 1 / 3 πr²h

where

Therefore,

volume of the cone =  2,144.7 cubic inches

Base area = 201.1 square inches.

πr² = Base area

Therefore,

2144.7  = 1 / 3 × 201.1  × h

6434.1 = 201.1 h

h = 6434.1 / 201.1

h = 31.9945300845

h = 32 inches

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Answer:

you'd land on A 3 times, on B 4 times, C 5 times

Step-by-step explanation:

you simply have to divide 12 by each of the values

so basically:

A= 12 : 4

B= 12 : 3

C= Well it's 5 out of 12 so the answers already there

Answer:

32 spot light

Step-by-step explanation:

lets say each spot light was 20$ the answer would be 32 cuz 32 x 20 = 640 so our equation would be 640 ÷ 20 = x and x = 32

Answer:

the mode that repeats the most is 2.2 becuase to find it you need to find the number that repeats the most in the table. To find the median you add all the numbers and divide them to get the answer that is 2.7 for the mean but to find the median you need to order them from least to greatest and the answer you get for the median is 2.6 so hopefully that is the correct answer for all of them.

Step-by-step explanation: Mark me brainliest please if you want and see you next time :DDDDDDDDD

Answer:

Reflection is every point is the same distance from a central line

Reflected is a transformation representing a flip of a figure

Step-by-step explanation:

Sorry!!!!

Answer:

he can use a random sample or a random number generator which is a tool for making or generating numbers with no pattern to make a good representative of that population but it can be more if you want. He can also choose three people or more by asking them to raise their hand who wants to be a volunteer and do not raise their hand if they dont want. So hopefully those are the two ways.

Step-by-step explanation: Sorry if i get it wrong but i tried my best i had.

Answer:

I think it would be 120

Step-by-step explanation:

6x10x2=120

Answer: NO

Step-by-step explanation:

This is because if you think about it, only the people that want to do the survey do it. Those who dont want to do it dont have to. This makes it voluntary. Any time the surveyed person gets to choose if they can do it it is voluntary. Furthermore, If it is voluntary it can usually represent all of the different peoples. But in this case, the shy people dont get a say because they would choose to not survey. So the shy people would not be represented. That is why this isn't random.