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
It took Sharon 105 minutes to wash three cars and put everything away. If she spent 10
minutes putting everything away, how long did it take to wash each car?
Answers
if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8
Answers
Answer:
x = 1/10Step-by-step explanation:
if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8?
3x + 101x - 24x = 8
80x = 8
x = 1/10
-------------------------
check
3 * 1/10 + 101 * 1/10 - 24 * 1/10 = 8
8 = 8
the answer is goodfactor (x-3)²+4(x-3)
Answers
Answer:
[tex] {(x - 3)}^{2} + 4(x - 3) \\ = (x - 3)((x - 3) + 4) \\ (x - 3)(x - 3+ 4) \\ = (x - 3)(x + 1)[/tex]
(x - 3) is common factor
Imagine you are multiplying or dividing each term by the common factor
[tex] {(x - 3)}^{2} + 4(x - 3) \\ \frac{{(x - 3)}^{2}}{(x - 3)}+(x-3)4\frac{(x - 3)}{(x - 3)}\\(x-3)((x-3)+4)[/tex]
please help me .. thank you
Answers
Hello BinibiningDel!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Fill in the blanks.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
The process of finding the factors of a polynomial is known as factoring.The factor that appears repeatedly in each term is known as the common factor.A trinomial is an algebraic expression with three terms.The constant term is definite in value.6mn - 9m = 3m (2n - 3). The greatest common factor is 3m.A polynomial doesn't have a fractional exponent.[tex]\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}[/tex] is a polynomial.A rational algebraic expression comes in the form of p/q where p & q are polynomials.[tex]\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}[/tex] is a rational algebraic expression.[tex]\boxed{\bold{\dfrac{3x}{x+4}}}[/tex] is the rational algebraic expression written in the simplest form.__________________
Hope it'll help you!
ℓu¢αzz ッ
Can somebody answer this?
Answers
Answer:
55
Step-by-step explanation:
20-9 = 11 then 5x11=55
So then you need to use the distributive property, multiply 5 to t and 5 to -9.
Like this:
5t - 45 + 12
Then combining like terms, -45 and 12 are like terms because don’t have any letter.
5t - 33
So this it’s the answer I think that it’s correct. Hope this can help you.
help me please i need an equation and solution
Answers
Answer:
3x - 2 = 4
x = 2
Step-by-step explanation:
3x - 2 = 4 ---> plus 2 on both sides
3x = 6 --> divide by 3 on both sides
x = 2
A farmer has 15 boxes of eggs.
There are 6 eggs in each box.
Write, as a ratio, the number of eggs in three boxes to the total number of eggs.
Give your answer in its simplest form.
Answers
Answer:
1:5
Step-by-step explanation:
The total number of eggs would be 15×6, or 90.
The eggs in 3 boxes would be 18.
18:90
Then simplify.
1:5
if i had 350 cream puffs and got left with 30 and sold them for 1.75 how much money did i make
Answers
Answer:
52.5
Step-by-step explanation:
Hope i helped!! :D
Factor out the coefficient of the variable.
The expression 13b−13 factored is
Answers
Answer:
13(b-1)
Step-by-step explanation:
I think it the right one
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50 (before taxes).
How much popcorn can you buy per dollar?
Answers
Answer:
$ 0.25 Per Ounce of popcorn
Step-by-step explanation:
2.5 / 10 = 0.25
If 10 is the amount of ounces she got of the popcorn, and we divide the total cost by 10, that'll give us the amount for 1 ounce.
(10 pages
In the diagram, KM bisects ZJKL.
If the mZJKM = (42 - 22) and m/LKM = (6x + 5), solve for x and find mZJKM.
V
M
K
mЛКМ
Submit
DO 9:27
DI
Answers
Answer:
90823
Step-by-step explanation:
because don't use this awnser
Answer:
********
Step-by-step explanation:
******** =(*******-****) *** */***
Athena's credit card has an APR of 16.99%. If her current monthly balance, before interest, is
$1,567.32, what amount will she be charged for interest?
O $26.63
O $22.19
O $45.00
O $31.19
Answers
Which equation represents a proportional relationship?
A. 1/4x + y = 10
B. y = 1/4x
C. y = 1/3x + 1
Answers
The equation has no y intercept so the line goes through the origin and it’s saying that as x increases by 1/4, y increases by 1
60 (x + 20) 3x what is the value of x?
Answers
Answer:
Step-by-step explanation:
Step 1: Equation at the end of step 1
Simplifying
60(x + 20) = 3x
Reorder the terms:
60(20 + x) = 3x
(20 * 60 + x * 60) = 3x
(1200 + 60x) = 3x
Solving
1200 + 60x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
1200 + 60x + -3x = 3x + -3x
Combine like terms: 60x + -3x = 57x
1200 + 57x = 3x + -3x
Combine like terms: 3x + -3x = 0
1200 + 57x = 0
Add '-1200' to each side of the equation.
1200 + -1200 + 57x = 0 + -1200
Combine like terms: 1200 + -1200 = 0
0 + 57x = 0 + -1200
57x = 0 + -1200
Combine like terms: 0 + -1200 = -1200
57x = -1200
Divide each side by '57'.
x = -21.05263158
Simplifying
x = -21.05263158
Harold bought 3 pounds of red apples and 4.2 pounds of green apples from a grocery store, where both kinds of apples are $1.75 a pound. How much did Harold spend on apples?
Answers
add 3+4.2= 7.2 times 1.75
Answer:
11.6 is your answer. brainliest pls
Step-by-step explanation:
Which criterion, if any, could prove the triangles are congruent?
Answers
Answer:
ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.
So A
Explanation: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent
If a person walks 16 mile in 10 minutes, how far will that person walk in one hour?
Answers
Answer: 96 miles
Step-by-step explanation:
One hour directly correlates to 60 minutes. For this problem, simply find the "unit price" per mile, by dividing 16 by 10 to get 1.6. Then, simply multiply 1.6 by 60 to get 96.
Hope it helps :) and let me know if you want me to elaborate.
Compute the average rate of change of f(x)=(x+4)/(x-3) over the interval [5,7].
A)4/3
B)7/8
C)-7/8
D)-4/3
(Image attached below)
Answers
Answer:
C) - 7/8Step-by-step explanation:
Average rate of change is:
[f(7) - f(5)]/(7 - 5)Find the values and substitute into expression:
f(7) = (7 + 4)/(7 - 3) = 11/4f(5) = (5 + 4)/(5 - 3) = 9/2 = 18/4Find the rate of change:
(11/4 - 18/4)/2 = (-7/4)/2 = - 7/8Correct choice is C
x-5+x-11=100 what is the reason for this statement for geometry?
Answers
Answer:
because when the value of x is replaced in the factorisation it Will be equivalent to 100
Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?
Answers
refection and translation i think
hdjdjsjsj I hope I got it right
I'm not sure if its a dilation if its getting smaller not bigger
[tex]\sf 2x+7+8x=35[/tex]
Answers
Answer:
x=14/5
Step-by-step explanation:
Group like terms
2x+8x+7=35
Add similar elements: 2x+8x=10x
10x+7=35
Subtract 7 from both sides:
10x+7−7=35−7
Simplify
10x=28
Divide both sides by 10
10x/10 =28/10
Simplify:
x=14/5
Answer:
[tex]2x+7+8x=35[/tex]
[tex]2x+8x+7=35[/tex]
[tex]10x+7-7=35-7[/tex]
[tex]10x=28[/tex]
[tex]\cfrac{10x}{10}=\cfrac{28}{10}[/tex]
[tex]x=\cfrac{14}{5}[/tex]
or
[tex]x=2.8[/tex]
you roll a standard die. you win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. what is the expected value of a single roll?
Answers
Answer:
$0
Step-by-step explanation:
The chance of winning money is 2/6 -> 1/3, and sense 2/3 is larger than 1/3, we can conclude the expected value of a single roll is $0.
(I may be doing this problem wrong as I don't have context for what you're currently working on, but I hope this helps. Have a nice day!)
Answer:
1 dollar
Step-by-step explanation:
Because if u roll a six it gives you six dollars so how many rolls you roll you get that amount of money. :)
I hope im right :D
heeeeeeeeeeeeeeeeeelllllllllllllllllppppppppp
Answers
Step-by-step explanation:
Answer is 3 because it is alternate with 3 also it is interior too.
Solve the equation for the y–value and choose whether it is a direct variation or inverse variation
-4x + y = 0
Answers
Answer: Choice C
y = 4x
Direct variation
=====================================================
Explanation:
We add 4x to both sides to isolate y. That leads to y = 4x
This is a direct variation equation because it's in the form y = kx, for some constant k.
. Find the factors of (ϰ² - 25)
Answers
Answer:
(x - 5)(x + 5)
Step-by-step explanation:
x² - 25 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 25
= x² - 5²
= (x - 5)(x + 5)
what is Evaluate 5x2-4 when x=3.
Answers
15 x 2 = 30
30-4 = 26
(I assume the 5x is multiplied by the 2)
15x2=30
30-4= 26
PleAse mark me brainliest
x²+xy+y²
help me simplify it
Answers
Answer:
they didn't sum on yet
x(x+y)+y2
Which shape does our galaxy have?(1 point)
circular
spiral
irregular
elliptical
Answers
Answer: spiral
Step-by-step explanation:
The shape that our galaxy have is : Spiral, because "Spiral-Structure" provides the Milky-Way its name. option (b) is correct.
Our galaxy, the Milky-Way, is classified as a spiral galaxy. Spiral-Galaxies are characterized by their distinct spiral arms that radiate from a central bulge. These arms contain stars, gas, dust, and other celestial objects.
The Milky-Way's spiral arms are home to a significant portion of its stars and are formed due to the gravitational interactions between different parts of the galaxy. This spiral structure gives the Milky-Way its name and appearance when observed from certain angles.
Spiral galaxies are one of the most common types of galaxies in the universe, and they play a crucial role in our understanding of cosmic structures.
Therefore, the correct option is (b).
Learn more about Galaxy here
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The given question is incomplete, the complete question is
Which shape does our galaxy have?
(a) circular
(b) spiral
(c) irregular
(d) elliptical.
what is perfect cube
Answers
Answer:
The perfect cube is the result of multiplying the same integer three times. Multiplying the number 4 three times, for example, yields 64. As a result, the number 64 is a perfect cube. Perfect cube = number x number x number.
Step-by-step explanation:
Perfect cube numbers can be obtained by multiplying every number thrice by itself. For example, 1 × 1 × 1 = 1 and 2 × 2 × 2 = 8 and so on. The list of perfect cubes from 1 to 10 is as follows: 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.
During a 1-hour period, a TV show has 40 minutes of programming. The rest of the
time is for commercials. How much time user every hour for commercials?
Answers
Answer:20 mins
Step-by-step explanation:
If its one hour than thats 60 mins which means you have to minus 40.thats is 20
Hope it helps
Answer:
20 Minutes
Step-by-step explanation:
An hour is 60 minutes.
60 - 40 is 20 minutes.