Use the graph of a quadratic function to find the following:
a. Vertex
B. Axis of symmetry
C. Y-intercept
D. X-intercept
E. Domain and range

Don’t mind my answers

Step-by-step explanation:

let width be "w"

given,length of rectangle is 3 units greater than its width

length= w+ 3

perimeter of rectangle= 2( l+ b)

= 2[( w+3)+ w]

= 2(w to the power of 2 + 3w)

= 2w to the power of 2 + 6w

is the answer

The perimeter of the rectangle is 4w+6 units

The perimeter of a rectangle is the sum of its four sides. Perimeter of Rectangle = 2 (Length + Width) units.

According to the question

Width of rectangle = w

Length of rectangle = w+3

Perimeter of Rectangle = 2 (Length + Width)

                                        = 2( w+3 +w)

                                        = 2(2w+3)

                                        = 4w+6 units

Hence, The perimeter of the rectangle is 4w+6 units .

To know more about Perimeter of Rectangle here :

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Answer: b,c and d.

Step-by-step explanation:

The options that are true are:

b. Z scores are defined for observations from distributions of any shape and skew.

c. The Z score for the median of a symmetric distribution is approximately 0.

d. Calculating percentiles based on the Z table is only appropriate for observations that come from a nearly normal distribution.

It should be noted that option A"The Z score for the median of a left skewed distribution is negative" is false.

For a left skewed distribution, it should be noted that the mean is less than the median which in turn is less than the mode and this will bring about a positive outcome, therefore the corresponding z-score for the median will also be positive and bit negative.

Therefore, b, c and d are true.

If the z-score for the median of the left-skewed distribution is negative then A is false. Then the correct option is B, C, and D.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

It should be noted that in option A, the z-score for the median of the left-skewed distribution is negative.

A. The Z-score for the median of a left-skewed distribution is negative. This is false.

B. Z-scores are defined for observations from distributions of any shape and skew. This is true.

C. The Z-score for the median of a symmetric distribution is approximately 0. This is true.

D. Calculating percentiles based on the Z-table is only appropriate for observations that come from a nearly normal distribution. This is true.

More about the z-score link is given below.

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x = 145°

the sum of interior angles of octagon formula

S = (n - 2)×180°

n = 8

S = (8 - 2)×180°

S = 6×180°

S = 1080°

we have 1 angle = 65° & others are equal to each other

1080° - 65° = 7x

7x = 1015°

x = 1015° : 7

x = 145°

Answer:

7.5 seconds.

Step-by-step explanation:

The height of the arrow as a function of time t is given by :

[tex]h = -16t^2 + 118t + 15[/tex]

Here, 118 ft/s is the initial velocity and 15 feet is the height of the platform. We need to find How many seconds will take the arrow to reach the  ground. When it reaches the ground, h(t) = 0

[tex]-16t^2 + 118t + 15=0[/tex]

The above is a quadratic equation. The solution of the above equation is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, b = 118, a = -16 and c = 15

So,

[tex]t=\dfrac{-118\pm \sqrt{(118)^2-4(-16)(15)} }{2\times (-16)}\\\\t=-0.125\ \text{and}\ 7.5\ s[/tex]

Time can't be negative.

So, it will take 7.5 seconds to reach the ground.

Answer:

G

Step-by-step explanation:

the perimeter is the sum of all sides so we have

[tex]P=a^{2} -ab+a-2a+a^2+ab\\\\P=(a^2-2a^2+a^2)+(-ab+2b)+a\\\\P=(0a^2)+(ab)+a\\\\P=ab+a[/tex]

Answer:

G

Step-by-step explanation:

hope this helps!!!!!!!!!m:)

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(-4, 7) and S(5,3)

The midpoint is

We have the final answer as

Hope this helps you

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(0.5 \: , \: 5)}}}}}[/tex]

Step-by-step explanation:

Let A ( -4 , 7 ) be ( x₁ , y₁ ) and S ( 5 , 3 ) be ( x₂ , y₂ )

Finding the midpoint

[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2})}} [/tex]

[tex] \longrightarrow{ \sf{( \frac{ - 4 + 5}{2} \: , \: \frac{7 + 3}{2}) }}[/tex]

[tex] \longrightarrow{ \sf{( \frac{1}{2} \:, \: \frac{10}{2} }})[/tex]

[tex] \longrightarrow{ \sf{( 0.5 \: , \: 5}})[/tex]

Hope I helped!

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Answer:

False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

[tex]6=(1-9)=(6-1)=9\\\\6=-8=5=9\\\\\boxed{6\neq-8\neq5\neq9}[/tex]

Hope this helps.

Answer:

9(7+9)

Step-by-step explanation:

The greatest common factor in this situation is 9 so you could factor out 9 and get 9(7+9) you can check this answer by multiplying both numbers by the number on the outside of the parenthesis.

hope this helps mark brainliest please

Answer:

The greatest common factor is 9 you could change it to 9(7+9) you can make sure this answer is correct by multiplying both numbers by the number in the parentheses.

Step-by-step explanation:

Answer:

  (9, 18)

Step-by-step explanation:

If point P is 3/4 of the distance from B to C, it means that ...

  BP/BC = 3/4

  (P - B) = 3/4(C - B) . . . . . . multiply by BC = (C-B)

  P = B + 3/4C -3/4B . . . . . add B

  P = (1/4)B +(3/4)C = (B +3C)/4

  P = ((0, 0) +3(12, 24))/4 = (36, 72)/4 = (9, 18)

The desired point is (9, 18).

__

As we showed, since B = (0, 0), the point is 3/4 of the coordinates of C.

Answer:

Yes, ratios of blue paint to yellow paint form a proportional relationship

Step-by-step explanation:

In case of the first person:

Number of blue parts = 2

Number of yellow parts [tex]=3[/tex]

In case of another person:

Number of blue parts [tex]=4[/tex]

Number of yellow parts [tex]=6[/tex]

Ratio of blue parts [tex]=2:4=1:2[/tex]

Ratio of yellow parts [tex]=3:6=1:2[/tex]

As ration of blue parts is equal to the ratio of yellow parts, ratios of blue paint to yellow paint form a proportional relationship

Answer:

B?

Step-by-step explanation:

On this number line there is no seven, but there is everything from 1 to 0.

Answer:

B. ( 7/10) / ( 1/10)

Step-by-step explanation:

|

|

V

Answer:

-22/40, 18/24, 8

Step-by-step explanation:

Answer:

D;132.00

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Answer:

x = 3

Step-by-step explanation:

We divide 6 on both sides

Answer:

3

Step-by-step explanation:

Answer:

5a-7

Step-by-step explanation:

-7+5a

We can rearrange the order

5a-7

Answer:

C. 5a-7

Step-by-step explanation:

5a−7 = -7+5a

Answer: a. They can find the present value of the remaining 20 years worth of payments.

Step-by-step explanation:

The present value of the payments for the servicing of the loan is the amount of the loan that is still owed because the payments include both the interest and the principal repayments.

The Schmidts can therefore find out the amount they still owe by checking the present value of the remaining 20 years worth of payments.

As the payments are usually constant they can be treated as an annuity so using the monthly payment as the annuity, the interest rate as the discount rate and the 20 years ( 240 months) as the period, they should be able to find the present value of the loan.

Answer:

[tex]20\ lawns = \$240[/tex]

[tex]9 \ lawns = \$108[/tex]

See Attachment for Graph

Step-by-step explanation:

Given

[tex]1\ lawn = \$12[/tex]

Solving (a): Number of lawns in $240

[tex]1\ lawn = \$12[/tex]

Multiply both sides by 20

[tex]20 * 1\ lawn = \$12 * 20[/tex]

[tex]20\ lawns = \$240[/tex]

Solving (b): Cost of mowing 9 lawns

[tex]1\ lawn = \$12[/tex]

Multiply both sides by 9

[tex]9 * 1\ lawn = \$12 * 9[/tex]

[tex]9 \ lawns = \$108[/tex]

To create a graph, we need to generate a formula;

If

[tex]1\ lawn = \$12[/tex]

[tex]2\ lawn = \$24[/tex]

[tex]3\ lawns = \$36[/tex]

[tex]x\ lawns = \$12x[/tex]

So:

The graph formula is

[tex]y = 12x[/tex]

See Attachment for Graph

Answer:

shrimp cocktail: 0.00 or 0%

lifesaver: 0.25 or 25%

gum: 0.05 or 5%

chocolates or lifesaver: 0.80 or 80%

Not Cracker: 0.85 or 85%

Any treat: 1.00 or 100%

Step-by-step explanation:

First Add all of them together

22+10+6+2=40

now divide

22/40 0.55

10/40=0.25

6/40=0.15

2/40=0.05

add/subtract

0.25+0.55=80%

1-0.15=0.85

Hope this helps! Plz award Brainliest : )

Answer:

the 3rd triangle

Step-by-step explanation:

they are congruent

sub to pewdiepie

Answer:

The degree of polynomial of 57 is 0.

Answer:

[tex]1\,\,m^3\,=\,10^6\,\,cm^3[/tex]

Step-by-step explanation:

To find: conversion factor between cubic meters and cubic  centimeters

Solution:

One meter is 100 times greater than one centimeter .

1 meter = 100 centimeter

That is [tex]1\,\,m\,=\,100\,\,cm[/tex]

So,

[tex]1\,m^3\,=\,1000000\,cm^3[/tex]

or

[tex]1\,m^3\,=10^6\,cm^3[/tex]

or

[tex]1\,cm^3\,=\,\frac{1}{10^6}\,m^3[/tex]

Answer:

Step-by-step explanation:

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

[tex]\frac{l}{b}= \frac{1}{2}[/tex]

b = 2l ------(2)

From equations (1) and (2),

l + 2l = 75

3l = 75

l = 25 m

Width 'b' = 2(25) = 50 m

Now we have to draw a rectangle with a scale = 25 : 2

Therefore, Scale factor = [tex]\frac{25}{l}=\frac{25}{2}[/tex]

l = 2 cm

Similarly,

[tex]\frac{50}{w}=\frac{25}{2}[/tex]

w = 4 cm

Now we can draw a rectangle with length = 2 cm and width = 4 cm.

Answer:

x = 6 weeks

Step-by-step explanation:

We'll let x represent the number of weeks it will take to save enough money. If she saves $11 each week, then in x weeks she will save  11x dollars.

Add this to the 107 she has already saved, and at the end of 11 weeks she will have    11x + 107 dollars.

We want the amount saved to be equal to the price of the bike, so our equation is

11x + 107 = 173

In a word problem, writing the equation is usually the hardest part. Now we solve the equation.

Subtract 107 from both sides to get

11x = 66

Divide both sides by 11 to get

x = 6 weeks

Answer:

variable

Step-by-step explanation:

lndividuals are the people or objects included in the study. A variable is the characteristic of the individual to be measured or observed. For example, if we want to do a study about the people who have climbed Mt.

Answer:

variable is the characteristics of an individual to be observed or measured.

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Answer:

- 3 ≤ n ≤ 8

Step-by-step explanation:

Express the interval using inequality notation: -3,8

Interval between - 3 and 8, assumed both included, expressed as:

Answer: 18 and 36

Step-by-step explanation:

The scale is 8m for every 2 in and the actual area is 144m2 so we need to covert that into inches. You divide 144 by 8 which = 18 and then multiply 18 x 2 which is equal to 36.