28. Katrina buys a 64-ft roll of fencing to
make a rectangular play area for her dogs.
Use 2(1 + w) = 64 to write a function for the
length, given the width. Graph the function.
What is a reasonable domain for the situation?
Explain.
Answers
Answer:
Step-by-step explanation:
The reasonable domain for the function 2 ( l + w ) = 64 is:
5, 10, 15, 20, and 25
The graph of the function 2 ( l + w ) = 64 is given below.
What is a function?A function is defined as a relation between a set of inputs having one output each.
We have,
A function of the perimeter of a rectangle:
2 ( l + w ) = 64
Here,
l = length and w = width
We need to find the value of length and width such that the perimeter of the rectangle is 64.
Now,
2 ( l + w ) = 64
l + w = 32
This means the combined measure of length and width must give us 32.
We need to write as a function for length where width is given.
We can assume the width to be: 5, 10, 15, 20, and 25.
Now,
l + 5 = 32
l = 27
l + 10 = 32
l = 22
l + 15 = 32
l = 17
l + 20 = 32
l = 12
l + 25 = 32
l = 7
We consider,
Width = 5, 10, 15, 20, and 25 to be the domain.
Length = 27, 22, 17, 12, and 7 to be the range.
We consider width values as the x-axis and length values as the y-axis.
The graph is given below.
Thus the reasonable domain for the situation given above is:
5, 10, 15, 20, and 25
The graph of the function 2 ( l + w ) = 64 is given below.
Learn more about functions here:
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Related Questions
pls help
Given the first term and the common difference of an arithmetic sequence, find the
explicit formula, then find the term named in the problem.
Answers
Answer:
Step-by-step explanation:
an (the nth term ) = a1 + d(n - 1)
= 6 + 3(n - 1).
a17 = 6 + 3(17-1)
= 6 + 48
= 54.
Write the prime factorization of 42. Use exponents when appropriate and order the factors from least to greatest
Answers
2 x 3 x 7 = 42
Answer:
42 = 2*3*7
Step-by-step explanation:
42 can be rewritten as 2*21, for example.
2 is prime. 21 = 3*7.
Then 42 = 2 * 21 is also equal to:
42 = 2*3*7. where these factors are ordered from least to greatest. The prime factors of 42 are {2, 3, 7}.
options of Answer
A) 10 bags of chips and 2 jars of salsa
B) 20 bags of chips and 2 jars of salsa
C) 14 bags of chips and 5 jars of salsa
D) 18 bags of chips and 6 jars of salsa
Answers
Answer:
D) 18 bags of chips and 6 jars of salsa
Step-by-step explanation:
Given : The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.
Inequality: [tex]2.5x+4y[/tex] ≤ [tex]60[/tex]
Solution :
x represents chips
y represents salsa
Option a: 10 bags of chips and 2 jars of salsa
so, x = 10 and y =2
Putting values in inequality
[tex]2.5(10)+4(2)[/tex] ≤[tex]60[/tex]
[tex]25+8[/tex] ≤[tex]60[/tex]
[tex]33[/tex]≤[tex]60[/tex]
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
[tex]2.5(10)+4(2)[/tex]≤[tex]60[/tex]
[tex]50+8[/tex]≤[tex]60[/tex]
[tex]58[/tex]≤[tex]60[/tex]
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
[tex]2.5(14)+4(5)[/tex]≤[tex]60[/tex]
[tex]35+20[/tex]≤[tex]60[/tex]
[tex]55[/tex]≤[tex]60[/tex]
Hence it is correct.
Option d :18 bags of chips and 6 jars of salsa
so, x = 18 and y =6
Putting values in inequality
[tex]2.5(18)+4(6)[/tex]≤[tex]60[/tex]
[tex]45+24[/tex]≤[tex]60[/tex]
[tex]69\geq 60[/tex]
Hence it is not correct since it violates the inequality
3/4 x 28= 1/3 of y state y? Please im in a hurry
Answers
how many eighths are in 1/3?
Answers
Answer:
1/3 = 2 2/3 eighths.
Step-by-step explanation:
There are 2(2/3) eights in 1/3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Eighths = 1/8
Now,
(1/8)x = 1/3
Solve for x.
x = 1/3 x 8/1
x = 8/3
x = 2(2/3)
Thus,
There are 2(2/3) eights in 1/3.
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What is the value of x that makes this equation true?
(10 raised to the power of 4) = 10 raised to the power of x
Enter only a number as your answer.
Answers
Answer:
pot0tsafgxxgcgcycguchchcui
Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money will he have in his account by the end of the year 8? with solutions
Answers
Answer:
$34,000
Step-by-step explanation:
Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:
8*1,750 = $14,000
Together with the deposited money:
$20,000 + $14,000 = $34,000
By the end of year 8 there will be $34,000 of Jerry's account.
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ?
Answers
Answer:
The slopes of both are m=6
Length of AB=6.082
Length of the image: 3.5 * 6.082 = 21.287
Answer:
Step-by-step explanation:
What is -1/2(-4/5) multiplied then in simplest form?
Answers
Multiply the numerators by each other and do the same for the denominators.
That is:
-1(-4)=4
And 2*5=10
Now we have 4/10
Divide the numerator and the denominator by 2 to get 2/5 which is the simplest form.
Hope this helped.
Please help!!!!!! :(
Answers
Answer:
Yes, it is linear
3x+y=15
Explanation:
Put the variables on opposite sides so that you have:
[tex]\frac{y}{3}[/tex]=5-x
Multiply by 3 on both sides
y=15-3x
Bring x back to y's side
3x+y=15
All done!
Jeandre said |6| equals |−6|. Is Jeandre correct? Complete the explanation.
Answers
What should be done first to evaluate the expression?9 - 4 ÷ 5 + 3 × 6
Answers
ANSWER:
24
STEP- BY-STEP-EXPLANATION:
•Group into bodmas
•9-4=5(5+3×6)
5÷5+3×6
1+3×6
4×6=24
Select all that apply. To create perpendicular lines, I can transform a line by:
1. Rotating the line 270° around any point.
2. Translating the line horizontally.
3. Rotating the line 45° around any point, then rotating it another 45° around any point.
4. Translating the line vertically.
5. Reflecting the line over itself.
6. Rotating the line 45° around any point.
7. Reflecting the line over any point on the line.
8. Rotating the line 90° around any point.
Answers
Answer:
8. Rotating the line 90° around any point.
Step-by-step explanation:
Perpendicular lines intersect each other at a right angle. Therefore, the transformation should create an image that intersects the preimage at an angle of 90∘. Since a rotation changes the angle between the preimage and the image, it can create perpendicular lines.
What is the answer for x?
Answers
Answer:
x = -5/7
Step-by-step explanation:
C = 5/9 × (F – 32)
122°F = °C
Answers
Answer:
In Celsius the degree is 50°
Step-by-step explanation:
Put the 122° into the equation given.
what is 4 8/17 as an improper fraction
Answers
Answer:
76/17
Step-by-step explanation:
Multiply the whole number by the denominator
4 × 17 = 68
Add the product from Step 1 to the numerator
68 + 8 = 76
Write answer from Step 2 over the denominator
76/17
, Nicole played basketball and went swimming before dinner. She spent 1 hour and 30 minutes playing basketball and 1 hour and 17 minutes swimming. Dinner lasted for 53 minutes. If dinner ended at 6:14 P.M., what time did Nicole start playing basketball?
Answers
Answer2:34 P.M
Step-by-step explanation:
Answer:
2: 34pm
Step-by-step explanation:
6.14 - 53= 5.21pm
5.21 - 1.17= 4.04pm
4.04 - 1.30= 2.34pm
(a) A color printer prints 21 pages in 10 minutes. How many minutes does it take per page? U minutes per page
Answers
Answer:
10/21
Step-by-step explanation:
Number of minutes required for printing 21 pages: 10
So, number of minutes required for printing 1 page
= 10/21
(= 0.47 = 0.5 [approximately])
What is the distance between 3 and 1?
Answers
Answer:
2
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
Find the value of x.
No links please!
Answers
Answer:
Step-by-step explanation:
tan(26)=42/x hence x=42/tan(26)=86.113
PLEASE HELP!!
Identify the type of transformation to triangle ABC.
Glide
reflection
Reflection
Rotation
Translation
Answers
Answer:
Step-by-step explanation:
A-Reflection
B-Translation
C-Rotation
D- Glide Reflection
jacket is on sale at 15% off the original price of $68. based on this sale how much money will he save
Answers
Answer: He will save $57.80
Step-by-step explanation: Sale Price = $57.8. This means the cost of the item to you is $57.8. You will pay $57.8 for an item with original price of $68 when discounted 15%. In this example, if you buy an item at $68 with 15% discount, you will pay 68 - 10.2 = 57.8 dollars.
A student has a savings account with $475 in it. She deposits $125 of her paycheck into the account every week. Her goal is to save $7,000 for college.
a.How much will be in the account after 3 weeks?
b.How long will it take before she has $1,350?
c.Write an equation that represents the relationship between the dollar amount in her account and the number of weeks since she started depositing $125 each week.
d.Graph your equation using graphing technology. Mark the points on the graph that represent the amount after 3 weeks, and also the week she has $1,350. Write down the coordinates.
e. How long will it take her to reach her goal?
Answers
9514 1404 393
Answer:
a. $850
b. 7 weeks
c. f(x) = 125x +475
d. see attached (3, 850), (7, 1350)
e. 53 weeks
Step-by-step explanation:
a.After 3 weeks, $125×3 = $375 will have been added to the $475 already in the account. The balance will be ...
$375 +475 = $850
__
b.The student will have to add $1350 -475 = $875 to her account to reach $1350. At a rate of $125 per week, that will take ...
$875/($125/week) = 7 weeks
__
c.The initial value is $475, and the rate of change is $125 per week, so the equation can be written ...
f(x) = 475 +125x . . . . . . . balance after x weeks
__
d.See the attached graph with the required points marked. (3, 850), (7, 1350)
__
e.It will take more than 53 weeks for the student to reach her goal. (After 52 weeks, the account will have $6975, so will be $25 short of the goal.)
Which of the following numbers are rational, but NOT integers?
Select one or more:
a.√33
b.8.4
c.3/4
d.0
Answers
Answer:
0
Step-by-step explanation:
Zero is a rational number, and we know that the integer 0 can be written in any one of the following forms. ... Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number and not an integer.
Which equation represents the
sentence, "one minus p to the
fourth power equals zero"?
OA) 1-4p=0)
OB) 4p-1=0
OC) 1-p4=0)
OD p4-1=0
Answers
Answer:
to make button connected. I am
Answer:
C
Step-by-step explanation:
This equation exactly represents the question. It has the 1- p to the 4th which will =0.
Where did we get one?
Answers
Answer:
The -1 came from factoring.
The equation is multiplied by 8 because 8 could be pulled from 16x-8.
16 can be divided by 8 2 times and 8 can only divided by 8 once.
so factoring it makes the equation 8(2x-1)
To make green paint, students mixed yellow paint with blue paint. The table below shows how many yellow and blue drops from a dropper several students used to make the same shade of green paint. Complete the table.
Answers
someone assist me please thank you
Answers
Answer:
I am pretty sure thats acute triangle but not 100%
Is 12 × –1 positive or negative? positive negative Submit
Answers
Answer:
it's a negative number. the answer would be
Step-by-step explanation:
-12
Lesson. Derative of trigonometric functions
Answers
Answer:
Step-by-step explanation:
What are the Derivatives of the 6 Trig Functions?
Derivation of sin x: (sin x)' = cos x.
Derivative of cos x: (cos x)' = -sin x.
Derivative of tan x: (tan x)' = sec2 x.
Derivative of cot x: (cot x)' = -cosec2 x.
Derivative of sec x: (sec x)' = sec x. tan x.
Derivative of cosec x: (cosec x)' = -cosec x. cot x.
