Select the correct answer.
Martha manages a home improvement store and uses this function to model the number of customers that visit the store each hour on a
Saturday afternoon.
n(t) = -2.82t2 + 25.746 + 60.87
Which graph would most likely be associated with this model?

Select The Correct Answer.Martha Manages A Home Improvement Store And Uses This Function To Model The

Answers

Answer 1

The given quadratic equation gives the parameters of the shape of the

graph of the equation.

The graph that is most likely associated with the model is; graph B

Reasons:

The given function is n(t) = -2.82·t² + 25.74·t + 60.87

by analyzing the above function, we have;

At t = 0

n(0) = -2.82 × 0² + 25.74 × 0 + 60.87 = 60.87

The x-coordinate of the maximum point is given by [tex]\displaystyle x = -\frac{b}{2 \cdot a}[/tex]

Which gives;

[tex]\displaystyle t = -\frac{25.74}{2 \times (-2.82)} \approx 4.564[/tex]

The maximum value of the function is therefore;

n(4.564) = -2.82 × 4.564² + 25.74 × 4.564 + 60.87 ≈ 119.61

The characteristics of the equation are;

Initial value of equation = 60.87

t-coordinate of the maximum point, t ≈ 4.564

Maximum value of the of the function = 119.61

By comparing with the given graphs, we have;

[tex]\begin{tabular}{c|c|c|}&Graph A&Graph B\\Initial value&100&75\\t-value at max point&7&4\\Maximum value&200&125\end{array}\right][/tex]

Therefore, the graph that will most likely be associated with the model is; graph B.

Learn more about graphs of quadratic equations here:

https://brainly.com/question/10989920

Answer 2

Answer:

The correct answer is graph B.

Step-by-step explanation:

I got it right on the Edmentum test.


Related Questions

kam
An object oscillates as it moves along
the x-axis. Its displacement varies with
time according to the equation
x = 3 cos(6pi t + pi/2)

where t is in seconds

What is the frequency of this motion?

Answers

The frequency of this motion is 3 Hz

The standard equation of an oscillation is given by:

x = A cos(ωt + Ф)

Where x is displacement, A is amplitude, ω is angular frequency = 2πf and Ф is phase difference.

Given the equation:

x = 3 cos(6πt + π/2)

Hence;

ω =

2πf = 6π

f = 3 Hz

The frequency of this motion is 3 Hz

Find out more about frequency at: https://brainly.com/question/254161

Sara has a cell phone plan that charges $2 per minute for her long distance calls to Italy. She also has a pay a flat fee of $10 each month to have this plan, no matter how many minutes she talks on the phone. If Sara talks for 20 minutes long distance this month, how much money does she have to pay in total? Show work that supports your response.

Answers

Answer:

50

Step-by-step explanation:

she pays 10 in a flat fees and 2 dollars a minute so you multiply the 2 by 20 and add 10

4. The original price of a pair of shoes is $80 and they are on sale for $48. What is the percent of discount?
O A 32%
O B. 40%
OC. 60%
O D. 66.7%

Answers

Answer:

c

Step-by-step explanation:

80 × percent = 48

percent = 48/80

= 0.6

= 60%

Write the equation of the line that passes through the points (-1, 2) and (6, 3) in slope-intercept form.​

Answers

Answer:

Step-by-step explanation:

Given:

x1 = -1

x2 = 6

y1 = 2

y2 = 3

Solution:

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( 3 - 2 ) / ( 6 - -1 )

m = 1 / ( 6 + 1 )

m = 1/7

Then,

y - y1 = m ( x - x1 )

y - 2 = 1/7 ( x - -1)

y - 2 = 1/7 ( x + 1 )

y - 2 = 1/7x + 1/7

y = 1/7x + 1/7 + 2

y = 1/7x + 15/7

The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
158, 155, 152, ...
Find the 34th term

Answers

The 34th term of the sequence 158, 155, 152 ...... is 59

The sequence is as follows:

158, 155, 152 ......

let

a = first term = 158

d = common difference = 155 - 158 = -3

Using Arithmetic progression formula, let's find the 34th term as follows:

aₙ = a + (n - 1)d

a₃₄ = 158 + (34 - 1)-3

a₃₄ = 158 + (33)(-3)

a₃₄ = 158 - 99

a₃₄ = 59

Therefore, the 34th term of the sequence is 59.

learn more about sequence here: https://brainly.com/question/23251262?referrer=searchResults

PLEASE HELP ME!!!!!!!​

Answers

Answer:

The answer is B

Step-by-step explanation:

The answer would be B because the domain of a function is always all real numbers.

Need help please. High school Geometry

Answers

Answer: last one

Step-by-step explanation:

Please find the range of these numbers

Answers

Answer:

91 - 74 = 17

Step-by-step explanation:

The range is the difference between the highest and lowest values in a set of numbers.

For a field trip 20 students rode in cars and the rest filled 5 buses. How many students were in each bus if no more than 250 students went on the trip?

Answers

Answer:

46 bc 250 -20 =230 and 230÷5= 46

What is the HCF of 62 and 24 ?

Answers

Answer: As you can see when you list out the factors of each number, 2 is the greatest number that 24 and 62 divides into.

Step-by-step explanation:

I need help with this question

Answers

Answer:

Option D

Step-by-step explanation:

a^2 + b^2 = c^2

5^2+b^2=9^2

25+b^2=81

b^2=56

b=2√14

Alg 2 the problem is below please help !!!

Answers

The answer is: -72.19634511

what color is my shirt?? PLEASE HELP I FORGOT

Answers

Answer:

um

Step-by-step explanation:

Answer:

Its white! atleast i think its white because your pfp has white clothes on

A shop charges $4.95 for a large 9-ounce frozen
yogurt.

What is the cost per ounce of the frozen yogurt?

Answers

Answer: $0.55

Step-by-step explanation:

$4.95/9=$0.55 ( 1 ounce frozen yogurt)

A shop charges $4.95 for 9 ounces frozen yogurt, then the cost of per ounce yogurt is $0.55.

What is an arithmetic operation?

Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given data in the question,

Price of 9 ounce yogurt = $4.95

Then,

The cost of per ounce of yogurt = 4.95/9 = $0.55.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ2

The lengths of 3-inch nails manufactured on a machine are normally distributed with a mean of 3.0 inches and a standard deviation of .009 inch. The nails that are either shorter than 2.98 inches or longer are than 3.02 inches are unusable. What percentage of all the nails produced by this machine are unusable?

Answers

Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 3 inches, hence [tex]\mu = 3[/tex].The standard deviation is of 0.009 inches, hence [tex]\sigma = 0.009[/tex].

Nails that are more than 0.02 inches from the mean are unusable, hence:

[tex]Z = \frac{0.02}{\sigma}[/tex]

[tex]Z = \frac{0.02}{0.009}[/tex]

[tex]Z = 2.22[/tex]

The proportion is P(|Z| > 2.22), which is 2 multiplied by the p-value of Z = -2.22.

Z = -2.22 has a p-value of 0.0132.

2 x 0.0132 = 0.0264

0.0264 x 100% = 2.64%

2.64% of all the nails produced by this machine are unusable.

You can learn more about the normal distribution at https://brainly.com/question/24663213

if the nth term of a sequence is n^2-5 what are the first three terms and the 10th term

Answers

Answer:

-4, -1, 4

95

Step-by-step explanation:

when n is 1

n² - 5 = 1² - 5

1 - 5 = -4

when n is 2

n² - 5 = 2² - 5

4 - 5 = -1

when n is 3

n² -5 = 3² - 5

9 - 5 = 4

10th term, when n is 10

n² - 5 = 10² - 5

100 - 5 = 95

Solve for x in the equation x2 + 4x-4=8.
O x = -6 or x = 2
X=-2+2/2
O x = -2 or x = 6
O x=2+2V5

Answers

[tex] {x}^{2} + 4x - 4 = 8 \\ = > {x}^{2} + 4x - 4 - 8 = 0 \\ = > {x}^{2} + 4x - 12 = 0 \\ = > {x}^{2} + 6x - 2x - 12 = 0 \\ = > x(x + 6) - 2(x + 6) = 0 \\ = > (x - 2)(x + 6) = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 6 [/tex]

Answer:

x = -6 or x = 2

Hope you could get an idea from here.

Doubt clarification - use comment section.

A rental car company charges $35 per day to rent a car and $0.15 for every mile driven. Enola wants to rent a car, knowing that:
She plans to drive 450 miles.
She has at most $260 to spend.

Write and solve an inequality which can be used to determine xx, the number of days Enola can afford to rent while staying within her budget.

Answers

Answer:

260≤67.5+35x

Step-by-step explanation:

The ratio of the radii of two circles is 2:3. Find the ratio of their areas. If the area of the bigger circle is 3123 sq. cm, find the area of the smaller circle.​

Answers

Answer:

Your answer .

Step-by-step explanation:

Planes A and B intersect. Vertical plane B intersects horizontal plane A at line E D. Line C D is on plane A. Which describes the intersection of planes A and B? line CD line ED point C point D.

Answers

The description of the intersection of plane A and plane B is line CD

From the question (see attachment for the diagram of both planes), we have the following highlights

Point C is on plane A and plane BPoint D is on plane A and plane B

Both planes meet at the line that joins points C and D.

Hence, the description of the intersection of plane A and plane B is line CD

Read more about planes and lines at:

https://brainly.com/question/13099718

Answer:

The first answer, CD, is correct.

Edg, 2023

Which sign makes this number sentence true?
|-56|___ 1561

A)>
B)<
C)=
D) X

Answers

The absolute value of -56 is 56

the new sentence is 56____1561

A is not true because 56 is not bigger then 1561 if you count and put on number line

B is very true if you look at A. 56 is smaller than 1516

So, the answer is a

I hope this helped if it's wrong, plz blame me.

Ps.Brainlist would help a lot

Answer:

B

Step-by-step explanation:

The | | around -56 means absolute value or the total of the number, which in this case is 56, therefore 56 is less than 1561.

Which of the values shown are potential roots of f(x) = 3x3 â€"" 13x2 â€"" 3x 45? Select all that apply.

Answers

The potential roots of the function are, [tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex]

And the accurate root is 3 it can be determined by using rules of the rational root equation.

Given that,

Function; [tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45[/tex]

We have to determine,

Which of the values shown are potential roots of the given equation?

According to the question,

Potential roots of the polynomial are all possible roots of f(x).

[tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45[/tex]

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

[tex]\rm p=\dfrac{All\ the \ positive}{Negative\ factors \ of\ 45}[/tex]

[tex]\rm q=\dfrac{All\ the \ positive}{Negative\ factors \ of\ 3}[/tex]

The factor of the term 45 are,

[tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45[/tex]

And The factor of 3 are,

[tex]\pm1, \ \pm3[/tex]

All the possible roots are,

[tex]\dfrac{p}{q} = \pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex]

Now check for all the rational roots which are possible for the given function,

[tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45\\\\ f(1) = 3(1)^3 - 13(1)^2 -3(1) + 45 = 3-13-3+45 = 32\neq 0\\\\ f(-1) = 3(-1)^3 - 13(-1)^2 -3(-1) + 45 =- 3-13+3+45 = 32\neq 0\\\\ f(3) = 3(3)^3 - 13(3)^2 -3(3) + 45 = 81-117-9+45 =0\\\\ f(-3) = 3(-3)^3 - 13(-3)^2 -3(-3) + 45 = -81+117+9+45 =-144\neq 0[/tex]

Therefore, x = 3 is the potential root of the given function.

Hence, The potential roots of the function are, [tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex].

For more details about Potential roots refer to the link given below.

https://brainly.com/question/25873992

Answer: ALL OF THEM

Step-by-step explanation:

Find the area between f(x) = 3x and f(x) = x2 on the interval (0,3]

Answers

Answer:

[tex]A=4.5[/tex]

Step-by-step explanation:

The area between two curves over the interval [tex][a,b][/tex] is [tex]A=\int\limits^b_a {f(x)-g(x)} \, dx[/tex] where [tex]f(x)[/tex] is the upper function and [tex]g(x)[/tex] is the lower function.

Therefore:

[tex]A=\int\limits^3_0 {3x-x^2} \, dx[/tex]

[tex]A=\frac{3}{2}x^2-\frac{x^3}{3}\Big|_0^3[/tex]

[tex]A=[\frac{3}{2}(3)^2-\frac{(3)^3}{3}]-[\frac{3}{2}(0)^2-\frac{(0)^3}{3}][/tex]

[tex]A=\frac{3}{2}(9)-\frac{27}{3}[/tex]

[tex]A=\frac{27}{2}-\frac{27}{3}[/tex]

[tex]A=\frac{9}{2}[/tex]

[tex]A=4.5[/tex]

So, the area between [tex]f(x)=3x[/tex] and [tex]g(x)=x^2[/tex] on the interval [tex](0,3][/tex] is [tex]4.5[/tex] square units.

Solve the system of equations

2x - 9y =14

x= -6y + 7

Answers

Answer: x=  

6

7

=1  

6

1

≈1.166666667

y=−  

9

14

=−1  

9

5

≈−1.555555556

Step-by-step explanation:

here is the next question jj

Answers

Answer:

3.7 and east.

Step-by-step explanation:

Answer:

3.7 and east

Hope this helps! Good luck!! :)

Hey can u help me pls.

Answers

Answer:

15 dots

Step-by-step explanation:

formula :: 1/2 x n ( n +1 )

fig 1 ; 1 /2 x 1 ( 1+1 ) = 1 dot

fig 2 :; 1/2 x 2 ( 2+1 ) = 3 dots

......

fig 5 :: 1/2 x 5 ( 5+1 ) = 15 dots

Help please, 9th grade math.

Answers

Answer:

table k

Step-by-step explanation:

4:3 ratio

Sorry I did this in 6th grade, I’ll help tho!

READ THIS, it helps!

24 and 18 (divide each by 3 and you get your 8 and 6)

48 and 36 ( divide both by 6 and you get 8 and 6)

64 and 48 ( you divide 64 by 8 and get 8 and divide 48 by 6 and you get 8)

Answer: Table K
Hope this helps!!

Sally wants to buy themselves a beautiful, scrumptious, delightful cake but they don't know how money works. If Sally has $50.00, and the cake is $54.99, how much more do they need? literally just made this question off the top of my mind xD

Answers

Answer:

$4.99

Step-by-step explanation:

$54.99-$50.00=$4.99

Answer:

Step-by-step explanation:

cake: $54.99

sally money: $50.00

54.99-50= $4.99 lol


How many points are on this plane?

Answers

Answer:

5

Step-by-step explanation:

A,B and C would be the inside of the plane not outside.

Who wants to help with a math discussion?

The distance between two points, a and b, on a number line is expressed as
|a – b|, where a and b are rational numbers. Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.

Discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). For example, locate a point three-fourths of the distance from a to b. What kind of calculation is involved?

Answers

The distance between two points is the number of units between them.

Halfway points (a) and (b)

To locate a point halfway points (a) and (b), we use the following steps

Calculate the absolute difference between both pointsDivide the absolute difference by 2Add the quotient to the smaller point.

Assume the smaller value is (a), the point (P) halfway points (a) and (b) would be

[tex]P = a + \frac{|a - b|}{2}[/tex]

Take for instance, a = 5, and b = 10.

The halfway point would be:

[tex]P = 5 + \frac{|5 - 10|}{2}[/tex]

[tex]P = 5 + \frac{5}{2}[/tex]

[tex]P = 5 + 2.5[/tex]

[tex]P = 7.5[/tex]

The halfway point between 5 and 10 is 7.5

The formula works for negative values, and absolute values are used to return the actual difference between both points

Real world circumstance

The formula can be used to calculate the halfway distance between a school gate and the school library (as an instance)

Fractional distance

To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.

Take for instance, three-fourths from (a) to (b) would be:

[tex]P = a + \frac{3|a - b|}{4}[/tex]

Read more about distance at:

https://brainly.com/question/9935574

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