for the graph, what is a reasonable constraint so that the function is at least 200?​

For The Graph, What Is A Reasonable Constraint So That The Function Is At Least 200?

Answers

Answer 1

Answer:

[tex]0\leq x\leq 15[/tex]

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one

For the graph below, what should the domain be so that the function is at least 200?   graph of y equals minus 2 times the square of x plus 30 times x plus 200

My answer:

Given the above information, we have:

[tex]y=-2x^2+30x+200[/tex]

To make  the function is at least 200, it means that:

[tex]y=-2x^2+30x+200[/tex] ≥ 200

<=> [tex]-2x^2+30x[/tex] ≥ 0

<=> x(-2x+30) ≥ 0

This is the product of two numbers hence would be positive only if either both are positive or both are negative

Case I: Both positive

x ≥ 0 and  (-2x+30) ≥ 0

<=> 0 ≤ x ≤ 15

Case II: Both negative

Then we get

[tex]x\leq 0 and -2x+30\leq 0\\\\x\leq 0 and x\geq 15[/tex]

This is inconsistent as a value cannot be less than 0 and greater than 15

=> our correct answer is[tex]0\leq x\leq 15[/tex]

Hope it will find you well.


Related Questions

examples of data presentation in math

Answers

Answer:

Data Presentation - Tables

Tables are a useful way to organize information using rows and columns. Tables are a versatile organization tool and can be used to communicate information on their own, or they can be used to accompany another data representation type (like a graph). Tables support a variety of parameters and can be used to keep track of frequencies, variable associations, and more.

For example, given below are the weights of 20 students in grade 10:

50, 45, 48, 39, 40, 48, 54, 50, 48, 48, \\ 50, 39, 41, 46, 44, 43, 54, 57, 60, 45.

50,45,48,39,40,48,54,50,48,48,

50,39,41,46,44,43,54,57,60,45.

To find the frequency of 4848 in this data, count the number of times that 4848 appears in the list. There are 44 students that have this weight.

The list above has information about the weight of 2020 students, and since the data has been arranged haphazardly, it is difficult to classify the students properly.

To make the information more clear, tabulate the given data.

\begin{array}{c}\\ \text{Weights in kg} & & & \text{Frequency} \\ 39 & & & 2 \\ 40 & & & 1 \\ 41 & & & 1 \\ 43 & & & 1 \\ 44 & & & 1 \\ 45 & & & 2 \\ 46 & & & 1 \\ 48 & & & 4 \\ 50 & & & 3 \\ 54 & & & 2 \\ 57 & & & 1 \\ 60 & & & 1 \end{array}

Weights in kg

39

40

41

43

44

45

46

48

50

54

57

60

Frequency

2

1

1

1

1

2

1

4

3

2

1

1

This table makes the data more easy to understand.

Examples of data presentation in math includes: Tables, Bar Graphs, Line Graphs, Pie Charts and Scatter Plots

1. Tables: Tables are used to organize and present data in rows and columns. They are effective for comparing values and showing relationships between different sets of data.

2. Bar Graphs: Bar graphs represent data using rectangular bars of varying lengths or heights. They are useful for comparing quantities across different categories.

3. Line Graphs: Line graphs show data points connected by line segments. They are commonly used to display trends and changes in data over time.

4. Pie Charts: Pie charts represent data as a circle divided into sectors, with each sector representing a proportion of the whole. They are effective for showing proportions and percentages.

5. Scatter Plots: Scatter plots display individual data points on a two-dimensional graph. They are useful for identifying relationships and correlations between two variables.

The equation d= -6t + 10 represents the distance d, in miles, Ralph walks from the library to his house in t hours. His sister, Joan, leaves the library right after Ralph. She rides her bicycle from the library to their house at a constant rate. The equation d = 14t represents Joan's bicycle ride where d, is the distance, in miles, and t is the time, in hours.

After how many miles will Joan meet Ralph walking to their house?
A. 2.5 miles
B. 7 miles
C. 18 miles
D. 28 miles

Answers

Answer:

B. 7 miles

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Functions

Function Notation

Systems of Linear Equations

Solving methods: Substitution/Elimination

Step-by-step explanation:

Step 1: Define

Identify given.

[Ralph's Walking Distance Function]: d = -6t + 10

[Joan's Bicycle Distance Function]: d = 14t

Step 2: Find Meeting Point

To find where Joan and Ralph will meet, we need to find where they intersect. Therefore, we need to find the time which they both meet up at. To do this, we can use the process of substitution to find our value of t:

[Equation 1] Substitute in d:
[tex]\displaystyle\begin{aligned}d = -6t + 10 & \rightarrow 14t = -6t + 10\end{aligned}[/tex]

From here, we can simply use techniques listed under "Algebra I" to solve for t:

[tex]\displaystyle\begin{aligned}14t & = -6t + 10 \\20t & = 10 \\t & = \boxed{ \frac{1}{2} } \\\end{aligned}[/tex]

∴ both Joan and Ralph will meet up in half an hour, or 0.5 hours.

Step 3: Find Mileage

To find how many miles they will meet up at, we substitute the number of hours elapsed (found in Step 2) and substitute it into any of the equations given:

[tex]\displaystyle\begin{aligned}d & = 14t \\& = 14 \bigg( \frac{1}{2} \bigg) \\& = \boxed{7} \\\end{aligned}[/tex]

∴ Joan will meet Ralph after 7 miles.

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Topic: Algebra I

The answer is B. 7 miles. Joan and Ralph meet when their distances are equal. By solving the distance equations, we find they meet after 7 miles.

To establish where Joan will meet Ralph, we must find the time when their distances are equal. We equate their distance equations: d = -6t + 10 (Ralph) and d = 14t (Joan).

Set the equations equal to each other:

-6t + 10 = 14t

Combine like terms:

10 = 14t + 6t10 = 20t

Divide both sides by 20:

t = 0.5

Next, we substitute t = 0.5 into either of the original equations to find the distance:

Using Joan's equation: d = 14t

d = 14(0.5)d = 7

So, the distance at which Joan meets Ralph is 7 miles.

Therefore, the correct answer is B. 7 miles.

Drag point P around the unit circle to find the values of the trigonometric functions.

sin(90°) = 1

cos(180°) = -1

sin(40°) = .643

cos(245°) = -.423

Answers

Answer:

See the attachment

Step-by-step explanation:

A unit circle is one whose radius is 1

sin(90) will have coordinates (0,1)

sin(40)= 0.643

sin(40)= P/H= 0.643/1

cos(40)= B/H= 0.766

Similarly for cos(245)= cos(-65)= -0.423/1

                      sin(245)= sin(-65)= -0.906

The question involves applying knowledge of the unit circle and trigonometric identities to find the values of sine and cosine for certain angles as well as using the Law of Sines and Law of Cosines in triangle problems.

The question involves finding trigonometric function values using the unit circle. The unit circle is a circle with a radius of 1 unit, centered at the origin of the coordinate system, and is a fundamental tool in trigonometry. The sine and cosine values for certain angles are as follows:

sin(90°) = 1

cos(180°) = -1

sin(40°) = 0.643

cos(245°) = -0.423

Additionally, trigonometric identities like sin(90° – x) = cos x are useful for finding values of sine and cosine for complementary angles. The Law of Sines and the Law of Cosines can help solve for unknowns in triangles when certain side lengths and angles are known.

Natalie kicked a soccer ball. The equation h=-16t^2+50t describes the height of the ball (T) seconds after it was kicked. Approximately how many seconds went by before the ball hit the ground?

Answers

Answer:

Time, t = 3.125 s

Step-by-step explanation:

The height attained by the ball after it was kicked is given by as a function of time t as :

[tex]h=-16t^2+50t[/tex]

It is required to find the time until which the ball hits the ground. At that point, h(t) = 0

So,

[tex]-16t^2+50t=0\\\\t(-16t+50)=0\\\\t=0, -16t+50=0\\\\t=0, 3.125\ s[/tex]

So, 3.125 seconds before the ball hit the ground.

Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet. Each camera can view an area of approximately 128 ft2, with a viewing area shaped like a right triangle. The distance between grid lines is 4 feet. The viewing area of a camera is shown on a grid. The grid is 48 feet by 48 feet, with each square having side lengths of 4 feet. The camera has a triangular viewing area of 128 feet squared. The right triangle has 2 side lengths of 16 feet. How many cameras will be necessary to cover the entire store? 6 9 12 18

Answers

Answer:  18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The expression means 15 minus the product of 5 times the difference of p minus 6. If p = 8, then the value of the expression is .

Answers

Answer:

5

Step-by-step explanation:

from the question:

15-5(p-6)

when p=8,

=15-5(8-6)

=15-5(2)

=15-10

=5

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Answer:

5

Step-by-step explanation:

33, 25, 42, 25, 31, 37, 46,29,38
What is the first quartile of the data?​

Answers

answer:
Step by step solution:
1) put the numbers in order:
25,25,29,31,33,37,38,42,46
2) find the median:
25,25,29,31,33,37,38,42,46
33
3) find the median of the first quartile:
25,25,29,31
25 and 29
25+29= 54
54/2
27
Q1= 27

The first quartile of the data 33, 25, 42, 25, 31, 37, 46,29,38 is 27.

How to find the first quartile?

The first quartile of the data can be found as follows:

Firstly, let's arrange the data in ascending order.

25, 25, 29, 31, 33, 37, 38, 42, 46

Therefore,

Median is the middle number = 33

25, 25, 29, 31

first quartile = 25 + 29 / 2

first quartile = 54 / 2 = 27

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A rectangular picture frame has a perimeter of 54 inches. The height of the frame is 14 inches. What is the width of the frame?
The solution is ____( ___+w)= ___. The width of the frame is ____ inches.

Answers

The solution is 2( 14 + w ) = 54. The width of the frame is 13 inches.

What is perimeter of rectangle?

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Perimeter of the rectangle = 2(length+width)

Given the parameters are;

Rectangular picture frame has a perimeter of 54 inches. The height of the frame is 14 inches.

Perimeter of the rectangle = 2(length+width)

Perimeter = 2( 14 + w )

2( 14 + w ) = 54

Solving;

28 + 2w = 54

2w = 54 - 28

2w = 26

w = 13

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The width of the frame is 13 inches.

To find the width of a rectangular picture frame when the perimeter is 54 inches and the height is 14 inches, we start by understanding the formula for perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length (or height), and w is the width. In this case, we are given that the perimeter (P) is 54 inches and one dimension (the height/length, l) is 14 inches.

Substitute the known values into the perimeter formula to get 54 = 2(14) + 2w. Simplify the equation by first multiplying 2 by 14, which gives 54 = 28 + 2w. To isolate w, subtract 28 from both sides of the equation: 26 = 2w. Finally, divide both sides by 2 to find the width: w = 13 inches.

The solution is 54 = 2(14) + 2w = 28 + 2w. The width of the frame is 13 inches.

Which could be the dimensions of a rectangle with an area of 60 square units?
1 by 60 units
4 by 15 units
8 by 8 units
10 by 6 units
60 by 2 units

PLEASE HURRY!!! WILL GIVE BRAINLIEST!!

Answers

Answer:

The answer is 1 by 60 4 by 15 and 10 by 6

Step-by-step explanation:

Answer:a,b.d

Step-by-step explanation:

Please may you answer this I am on a rush and I got to do a piece of work due in 10 minutes please help out :( xx

Answers

6) X=8

7) X=3

8) X=7

9) X=1.5

10) X=0.9

good luck

Answer:

6.) x = 8

7.) x = 3

8.) x = 7

9.) x = 3/2

10.) x = 9/10

Step-by-step explanation:

refer to the pics. Please rate and thumbs up :)

What happens to the acceleration of an object if the net
force on it increases?
The acceleration increases.
The acceleration decreases.
The acceleration becomes zero.
The acceleration remains the same.
Done

Answers

Answer:

Step-by-step explanation:

The aceleration increases

When the velocity of an object changes it is said to be accelerating. Acceleration is the rate of change of velocity with time. ... Acceleration occurs anytime an object's speed increases or decreases, or it changes direction. Much like velocity, there are two kinds of acceleration: average and instantaneous

Answer:

The acceleration increases.

Use the expression 4^{3}+8-\dfrac9y4


3


+8−


y


9





4, cubed, plus, 8, minus, start fraction, 9, divided by, y, end fraction to find an example of each kind of expression.

Answers

The expression 4^{3}+8-\dfrac{9}{y4} can be broken down into different components:

1. 4^{3}: This part represents 4 cubed, which is equal to 4 x 4 x 4 = 64.

2. +8: This is simply the addition of 8 to the previous result, which is 64 + 8 = 72.

3. -\dfrac{9}{y4}:

Here, we have a subtraction and a fraction.

It's important to note that there might be a typo in the expression, and it should perhaps be written as \(\dfrac{9}{y}4\), which would mean 9 divided by y and then multiplied by 4.

If that's the case, the result depends on the value of y.

The expression demonstrates the use of exponentiation, addition, subtraction, and fractions, making it a comprehensive example of various mathematical operations.

In summary, the expression 4^{3}+8-\dfrac{9}{y4} showcases the use of exponentiation, addition, and subtraction, along with a fraction.

It's important to clarify whether the fraction should be interpreted as \(\dfrac{9}{y}4\) or \(\dfrac{9}{y4}\) to determine its exact mathematical meaning and result.

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Jessica uses a 20% off coupon when she buys a new camera. The original price of the camera was $150. How much money does Jessica save by using the coupon?

Answers

Answer:

30

Step-by-step explanation:

150x .2= 30

Answer:

$30

Step-by-step explanation

You need to first change the percentage into a decimal and then you multiply by the cost of the product...in this case a camera...and thats the discounts price

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Which of the following terms correctly describe the object below? Check all that apply

Answers

Where is the object

Brenda is cooking couscous. The recipe says she requires 480 grams of couscous for 4 people. How many will she need for 14?

Answers

Answer:

1680

Step-by-step explanation:

For every 1 person, the recipe requires 120 grams

We find that by doing the following

480 / 4 =120 grams

Multiply 120 by 14

120 x 14 = 1680

Answer:

1680g

Step-by-step explanation:

 if  480 g will be for 4 people

how about 14 people?

   480g x 14p= 6720 divide by 4=1680g

    divide by

    4 people

How many 8-inch square tiles are needed to cover a rectangle floor that is 10 ft. long and 8 ft. wide?

A. 80
B. 10
C. 180
D. 160

Answers

Answer:

180 tiles

Step-by-step explanation:

It's easiest to work with only one unit for length and one unit for area. We will work with inches and square inches, and we will convert feet to inches.

An 8-inch square tile is a tile shaped like a square whose side measures 8 inches.

area of square = side^2

area of 1 tile = (8 in.)^2 = 64 in.^2

One 8-inch, square tile has an area of 64 sq in.

Now we need to find the area of the floor in square inches.

1 ft = 12 in.

We multiply each dimension in ft by 12 to find inches.

10 ft = 10 * 12 in. = 120 in.

8 ft = 8 * 12 in. = 96 in.

Now we find the area of the rectangular floor.

area of rectangle = length * width

area of rectangle = 120 in. * 96 in.

area of rectangle = 11,520 sq in.

The rectangular floor has an area of 11,520 sq in.

Each tile has an area of 64 sq in.

To see how many tiles are needed, we divide the area of the floor by the area of one tile.

number of tiles = (11,520 sq in.)/(64 sq in.) = 180

Answer: 180 tiles

don't understand please help ;-;

Answers

Answer:

72cm^2

Step-by-step explanation:

12x6

Answer:

283 cm²

Step-by-step explanation:

r = 3 cm

2 × 3.14 × 3 (3 + 12)

= 2 × 3.14 × 3(15)

= 2 × 3.14 × 45

= 282.6 cm²

= 283 cm²

What is the equation of the line passing through the points (2, -1) and (5, -10) in slope-intercept form?
y=-3x-5
y=-3x+*
= -6
y = 3x+5​

Answers

Answer:

y=-3x+5

Step-by-step explanation:

m= (-10-(-1))/(5-2) = -3

-1 = -3x2 + c

c=5

There are 90 picking days in a season. A farms picks approximately 8 x 104 papayas
each day. Approximately, how many papayas are picked each season?

Answers

Answer:

74880

Step-by-step explanation:

first you do 8x104 and get 832 and then you do 832x90 and you get 74880.

Final answer:

By performing multiplication, you find that a farm picking approximately 800,000 papayas each day for 90 days in a season would pick around 72,000,000 papayas in total.

Explanation:

The subject of this question is Mathematics, specifically multiplication. To determine the total number of papayas picked in a season, we can multiply the number of picking days in a season by the average number of papayas picked each day. Thus, we need to multiply 90 (the number of picking days in a season) by 8 x 104 (the average number of papayas picked each day). Step-by-step, this process would look like the following:

Convert 8 x 104 to its standard form, which is 800,000. This represents the number of papayas picked each day. Multiply 800,000 papayas by 90 days. 800,000 papayas/day * 90 days = 72,000,000 papayas.

Therefore, the farm picks approximately 72,000,000 papayas in a season.

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If the cube shown is 5 inches on all sides, what is the length of the diagonal, x, of the cube?

2.75 inches

35 inches

5

inches

5.75 inches

Answers

Answer:

5.75 inches

Step-by-step explanation:

The diagonal will always be larger than the height... I think

Hope this helps?

Choose the converse. If an angle measures 110 degrees, then it is obtuse.

Answers

Answer:

B. because an acute is smaller then a right angle which is the opposite of the obtuse angle which is bigger then a right angle.

Step-by-step explanation:

Answer:

the answer is b. hope this helps

Over what interval is the graph of
y = |x + 2] increasing?

Answers

The answer is B my guy

Over (-2, ∞) the graph of function y = | x + 2| is increasing.

Given that,
To determine over what interval the graph of y = |x + 2] increases.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
y = | x + 2|
Since from (∞, -2), the graph is decreasing, but at -2 the graph has zero ordinate and afterward, the graph starts increasing. So, over (-2, ∞) the graph of function y = | x + 2| is increasing.

Thus, over (-2, ∞) the graph of function y = | x + 2| is increasing.

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Find a cubic function with the given zeros. Square root of seven., -Square root of seven., -4 f(x) = x3 + 4x2+ 7x - 28 f(x) = x3 + 4x2 - 7x - 28 f(x) = x3 - 4x2 - 7x - 28 f(x) = x3 + 4x2 - 7x + 28

Answers

Answer:

f(x) = x^3 + 4x^2 - 7x - 28

Step-by-step explanation:

If the roots of this cubic function are Square root of seven,  -Square root of seven,  -4, then the factors must be (x^2 - 7)(x + 4).

Multiplying this out, we get f(x) = x^3 + 4x^2 - 7x - 28.

Note:  Please use " ^ " to indicate exponentiation.

Please help! ASAP! (Stay Safe!)

Answers

Answer:

6

Step-by-step explanation:

Divide 144 by 8. Then divide that answer by 3.

Answer:

c)

Step-by-step explanation:

Because first you do 8x3= 24 and you 144 divided by 24 and you get 6

Cindy went to the salon to get highlights and a haircut. Her total cost
was $95. Cindy decided to tip her stylist 22% because she loved her
hair so much. How much was the tip?
Select one:
$20.90
$117
O $115.90
$74.10
Check

Answers

Answer:

$20.90

Step-by-step explanation:

To find the tip paid, you simply need to find 22% of the amount paid. This can be done by:

95×0.22=  20.90 dollars.

Answer:

$20.90

Step-by-step explanation:

22% of $95 is $20.90

You take out a loan for $523 at an interest rate of 9% for five years. What is the total amount
that you will have at the end of the five years?

Answers

Final answer:

To find the total amount due after five years on a loan of $523 with a 9% interest rate, first calculate the simple interest ($235.35) and then add it to the principal to get a total of $758.35.

Explanation:

To calculate the total amount you will have at the end of five years after taking out a loan for $523 at an interest rate of 9%, you need to use the formula for calculating the future value with simple interest: Principal + (principal × rate × time). The principal in this case is $523, the rate is 0.09 (9% expressed as a decimal), and the time is 5 years.

First, we calculate the simple interest: Interest = Principal × rate × time = $523 × 0.09 × 5. This gives us the total interest that will be charged over the five years.

Step 2. Calculate the simple interest: $523 × 0.09 × 5 = $235.35.

Step 3. Calculate the total future amount using the formula: Principal + Interest = $523 + $235.35 = $758.35.

Therefore, the total amount that you will have to pay at the end of the five years is $758.35.

Which equation is equivalent to (one-third) Superscript x Baseline = 27 Superscript x + 2?

Answers

Answer: Hello!

It's Option D.

Hope I helped! ♡

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Edge 2020

What is the solution to In (x2 - 16) = 0?
x=1v17
x= +4
x=+/32

Answers

Answer:

x = ± [tex]\sqrt{17}[/tex]

Step-by-step explanation:

Given

ln(x² - 16) = 0, then

x² - 16 = [tex]e^{0}[/tex] = 1 ( add 16 to both sides )

x² = 17 ( take the square root of both sides )

x = ± [tex]\sqrt{17}[/tex]

Answer:

B.

Step-by-step explanation:

x²-16 = 0

Adding 16 to both sides

x² = 16

Taking square root on both sides

we get

√x² = √16

x = ± 4

Either,

x=4        OR             x= -4

what is six times four less than three times x an a algebraic expression

Answers

Answer:

6(4-3x)

Step-by-step explanation:

6 times 4 = 6 times 4-3x

The algebraic expression for the given data in the question is 6 ( 4 - 3x ).

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given data is six times four less than three times x.

The given data can be written in the algebraic expression as:-

6( 4 - 3x )

Therefore, the algebraic expression for the given data in the question is 6 ( 4 - 3x ).

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What is the simplified expression for the expression below?
1/2(8x+4)+1/3(9-3x)

Answers

Answer:

7x+7

Step-by-step explanation:

1/2(8x+4)+1/3(9-3x)=

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

4x+7+3x=

7x+7

3x+5

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