A farmer has 1000 feet of fencing and wants to enclose a rectangular yard, and divide it into four pens as shown.
a. Find a function A(x) modeling the total area as a function of x, Hint: write the amount of fencing needed
in terms of x and y and set that equal to 1000, then you can solve for y. This should allow you to write
down the area in terms of x alone. Your function should be a quadratic function.
9514 1404 393
Answer:
A(x) = -2/5x^2 +200x
Step-by-step explanation:
There are 5 lengths of fence that are y long, and 2 lengths of fence that are x long. So, the perimeter is ...
5y +2x = 1000
Then the value of y is ...
y = (1000 -2x)/5
The area is the product of x and y:
A(x) = xy
A(x) = x(1000 -2x)/5
A(x) = (2/5)(x)(500-x) . . . a convenient form for finding the maximum area
In standard form, the equation is ...
A(x) = -2/5x^2 +200x
Help me !!! Please someone
Answer:
5 and 6
Step-by-step explanation:
The square root of 25 is 5 and the square root of 36 is 6. 33 falls between those
Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check al
that apply.
x(3) = 2(4)
x(5) = 10
11.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12
Answer:
the 2nd and 4th i think
Step-by-step explanation:
A car travels about 74 feet in one second. At this speed, about how many feet will the car travel in 6 seconds?
444 ft traveled in 6 seconds.
If the car travels 74 ft in 1 second, all you have to do is multiply 74 by 6 to find the answer, which is 444 ft.
Five cards are numbered 1 through 5. The back of each card is identical. The cards are mixed up and placed faced down. A person randomly flips over three cards and determines the sum of the three exposed cards. What is the probability that the sum is odd?
Put these numbers in order from least to greatest
4.9 4.5 314
Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Sydney's total pay on a day on which she sells "x" dollars worth of computers. Write an equation that represents P as a function of X
Answer:
P=0.025x+100
Step-by-step explanation:
The y-intercept of the function is 100 which represents the base pay Sydney makes regardless of computer sales.
that's the correct answer^^^
y = 1/40x + 100 is an equation that represents P as a function of X
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day.
Let the equation of line y = kx + b
Where b is 100
Since the given line passes through (0, 100) and (4000,200)
since For a line k = (y₂ - y₁)/(x₂ - x₁)
Thus, k = (200 -100)/(4000-0)
k = 1/40
Thus,
y = 1/40x + 100
Therefore, an equation that represents P as a function of X is y = 1/40x + 100.
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Complete question:
Hannah likes candy. She wants to purchase some candies all varieties of candy are $4.20 each. Hannah buys one mango candy and one apple candy. Write an expression that represents the total cost,t,of the candy if m represents the number of mango candies and a represents the number of apple candies
Answer: 4.20(2)
Step-by-step explanation:
help me pleaseeeeeeeeeeeeeeeeeeeeeee
y = -x – 1
What’s the slope?
Answer:
m = − 1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The slope formula is y=mx + b. m is the slope and b is the y-intercept. m is the number that x is being multiplied by. In this problem, you just see -x, so m= -1.
Before i thought the dividing functions
-4j-1-5j+6= pls help me
Hello
Answer:
-9j+5
Step-by-step explanation:
=-4j-1-5j+6
=-4j-5j+6-1
=-9j+5
Josie deposited $450 in a bank account at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym membership. If she makes no other deposits or withdrawals how muck money is in Josie's account at the end of four months?
Answer:
$309.20
Step-by-step explanation:
$450 - 4(35.20)
After four months she will have $309.20
11.You are filling picnic baskets. You have 18 sandwiches, 24 granola bars, and
42 apples. You want identical groups of items in each basket with no items left
over. What is the greatest number of picnic baskets you can fill?
Answer:
6
Step-by-step explanation:
divisible by 6, so 3, 4 and 7
The greatest number of baskets will be 6.
What is the greatest common factor?The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF.
The greatest common factor is the largest positive number which can be divided into given numbers evenly.
Given that you are filling picnic baskets. You have 18 sandwiches, 24 granola bars, and 42 apples.
The greatest common factor between the numbers 42, 18, and 24 will be 6.
42 / 6 = 7
18 / 6 = 3
24 / 6 = 4
Therefore, the greatest number of baskets will be 6.
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do you guys know this by any chance
Answer:
ME
Step-by-step explanation:
if it is a negative exponent, you have to change it
8^5times 8^9 I think
Answer:
I don't but i can see if my shadow clones do! MULTI SHADOW CLONE JUTSU!!!!
Step-by-step explanation:
They don't...
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.
Answer: The amount would be $3.70
Step-by-step explanation: 0.20x6=1.20+2.50=3.70
What does that equal??
Answer:
I beileve its 1 and 7/15
Step-by-step explanation:
It was for a test and I beileve I got a 100
Answer:
1 whole, 7/15
Step-by-step explanation:
Step 1_ (23×55)+(45×33)=?
Step 2_ 1015+1215=?
Step 3_ 10+1215=2215
Step 4_ 2215
Step 5_ 22÷15
Step 6_ 2215=1715
Step 7_ 23+45=1715
BTW THE NUMBERS ARE FRACTIONS NOT WHOLE NUMBERS
HOPE THIS HELPS!!
You want to paint your basement bright orange for your birthday party. The orange paint shade you like uses 3 parts red and 5 parts yellow. How many cups of red would you
need if you want 1 gallon of paint? (There are 2 cups in 1 pint, 2 pints in 1 quart, and 4 quarts in 1 gallon.)
Answer:
Step-by-step explanation:
6 cups red
Answer:
Step-by-step explanation:
6 cups red
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. SAS
B. AAS
C. SSS
D. ASA
E. None of these
What percentage of births occurred among women between the ages of 38 and 40? Give your answer to one decimal place.
We are to find the percentage of births which occurred among women between the ages of 38 and 40 using the graph.
The percentage of births which occurred among women between the ages of 38 and 40 using the graph is 98.0
From the graph above, each bar represent 2 years.
There are 5 bars each between 20 and 30, 30 and 40 respectively.
The percentage of births occurred among women between the ages of 38 and 40 is 98
To one decimal place
= 98.0
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What is the only real number which, when divided by itself, is 2020
times itself?
Answer:
1/2020
Step-by-step explanation:
We can set up an equation, where x is the number that, when divided by itself, is 2020 times itself:
x/x = 2020*x
The left-hand side reduces to 1:
1 = 2020*x
Now, you can divide both sides by 2020:
x = 1/2020
To check, we can divide 1/2020 by itself:
[tex]\frac{\frac{1}{2020}} {\frac{1}{2020}} = \frac{1}{2020}\cdot \frac{2020}{1} = \frac{2020}{2020} = 1[/tex]
1 is indeed 2020 times 1/2020.
We have that
x=4.95*10^{-4}
From the question we are told
What is the only real number which, when divided by itself, is 2020
times itself
Generally the equation for the statement is mathematically given as
[tex]\frac{x}{x}=2020*x\\\\1=2020*x\\\\x=\frac{1}{2020}\\\\x=4.95*10^{-4}[/tex]
Hence
the only real number which, when divided by itself, is 2020
times itself is
[tex]x=4.95*10^{-4}[/tex]
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Please help Asap!
Directions: Write a recursive rule and an explicit rule for each arithmetic sequence.
86, 101, 116, 131, 146,...
112, 110, 108, 106, 104,...
Answer:
Step-by-step explanation:
86,101,116,131,146,...
a=86
c.d d=101-86=15
explicit formula
[tex]a_{n}=a+(n-1)d\\a_{n}=86+(n-1)15=86+15n-15=71+15n,n \in I,n>0\\[/tex]
recursive formula
[tex]a_{n}=a_{n-1}+15,a_{1}=86,n \in I,n \geq 2[/tex]
2.
112,110,108,106,104,...
a=112
c.d d=110-112=-2
explicit formula
[tex]a_{n}=112+(n-1)(-2) =112-2n+2=114-2n,n \in I,n>0[/tex]
recursive formula
[tex]a_{n}=a_{n-1}-2,a_{1}=112,n \in I,n \geq 2[/tex]
I need help fast I’m timed!
Answer:
-5
Step-by-step explanation:
An)
is a value that does not change
Answer:
An) is a value that does not change? yes
Explain why -7 has a greater absolute value than the absolute value of 6.
Answer:
abosute value is the bigger number regardless of positives and negitives.
Step-by-step explanation:
Answer:
The absolute value of a number means the distance from 0. -7 is further from 0 than 6, therefore, it has a greater absolute value. Keep in mind, absolute value makes all numbers positive.
What is faster? 15 meters per minute or 15 kilometers per hour?
Answer:
15 kilometers
Step-by-step explanation:
15 kilometers is in conversion with miles
50+ POINTS I NEED HELP
Answer:
21 Yards
Step-by-step explanation:
Hope This Helps
Stay Safe And Happy Holidays
Given m||n, find the value of x.
+
m
(2x+6)º(x+9)
Someone please help?
Answer:
x=55
Step-by-step explanation:
(2x+6)+(x+9)=3x+15
3x+15=180
3x=165
x=55
describes the end behavior of the graph.
Answer: B) [tex]+\infty[/tex]
=================================================
Explanation:
As x goes to positive infinity, we're moving forever to the right.
If we have a point on the curve, then the point will move to the right and it will also move upward forever.
So as [tex]x \to \infty[/tex] we have [tex]y \to \infty[/tex]
Because y = f(x), this is the same as saying [tex]f(x) \to \infty[/tex]
The notation [tex]+\infty[/tex] is the same as [tex]\infty[/tex]
In terms of words, we can say "the curve rises to the right" to describe the end behavior on the right.
someone help with this ASAP I HAVE FEW MINS !!!
Answer:
Symmetric
Step-by-step explanation: