Answer:
This means that the width = 3y²
The length = 4y+7y³
Step-by-step explanation:
Given
Area of the rectangle = 12y^2+21y^5
Width of the rectangle is the greatest common monomial of 12y^2 and 21y^5
First let us get the greatest common monomial of 12y^2 and 1^5
12y^2 = (3 * y * y) * 4
21y^5 = (3 * y*y)*y*y*y* 7
Hence the greatest common monomial is 3 * y * y = 3y²
Factor out 3y² from the area function;
12y^2+21y^5
3y² (4y+7y³) = Area of the rectangle
Length * Width = 3y² (4y+7y³)
On comparing both sides of the equation
This means that the width = 3y²
The length = 4y+7y³
Answer:
4y^2
Step-by-step explanation:
The owner of a used car lot wants to buy as many cars at an auction as he can while not spending more than $20,000. if he expects the average price to be $4000, how many would he expect to be able to buy?
Answer:
5 cars
Step-by-step explanation:
If the average of cost of a car is $4,000 there will be enough cash to buy 5 cars. 20,000 divided by 4,000= 5.
Find the limit !!!!!!
Answer:
1/8.
Step-by-step explanation:
Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.
Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2 -1
= 1 / [ 2 * (16 - x)^1/2
Derivative of the denominator = 1
When x approaches 0 this is 1 / (2*4)
= 1/8.
Another way to do this is to multiply top and bottom by 4 + (16 - x)^1/2
This becomes 16 - (16 - x) / x(4 + (16-x)^1/2)
= 1 / (4 + (16 + x)^1/2
When x ---> 0
this = 1 /(4 + 4)
= 1/8.
A snowbank that is 6 inches deep is melting at a rate of 0.5 inch per hour. Write a linear function to model the scenario and identify the domain and range of the function.
Answer:
y = -0.5x + 6, Domain [0,12] and Range [0, 6]
Step-by-step explanation:
The slope in a linear function represents the rate of change. Since the amount of snow is decreasing (indicating a negative slope) at 0.5 inches an hour, our slope would be -0.5.
Our y intercept, 6, would be the starting amount of snow. At 0 hours, no snow has been melted.
Our domain is [0,12] these are the x values from where at zero there is 6 inches of snow and at 12 there is 0 inches of snow.
Finally, our range is [0,6]. Since there cannot be no more than 6 or less than 0 inches of snow, our range is [0,6]
Hope this helped!
is the point (20,13) on this line?
Answer:
yes
Step-by-step explanation:
the graph needs to be shown for us to answer it.
Step-by-step explanation:
i’ll mark brainliest i guess
Answer:
c
Step-by-step explanation:
21.35/7 is 3.05 and that is gas station a which is cheaper than 3.08
How do you factor 3х2-8x?
Answer: 6-8x
Step-by-step explanation:
Solve: -6y+2(y-6)=12
answer: = -6 mark me brainly
Answer:
Step-by-step explanation:
distribute
=
−
6
AABC is an isosceles triangle with vertex angle B, AB = 2x + 10, AC = 2x,
and BC = 4x - 16. Determine the length of the base of the triangle.
Answers are
A.117 degrees
B.26 degrees
C.15 degrees
D.22 degrees
Answer:
AC = 26 units
Step-by-step explanation:
Given that,
ABC is an isosceles triangle with vertex angle B such that,
AB = 2x + 10, AC = 2x, and BC = 4x - 16
Two sides of an isosceles triangle are equal. It means that the angles corresponding to the same sides are equal. It means AB = BC
2x + 10 = 4x - 16
2x-4x = -10-16
-2x = -26
x = 13
AC is the base of the traingle.
AC = 2x
AC = 2(13)
AC = 26 units
So, the base of the triangle is equal to 26 units.
6y²-9xy
PLEASE HELP
.
.
.
I attached a file pls answer quick i gotta sleep
Answer:
P(2, 3.5)Step-by-step explanation:
If P partitions AB in the ratio 1:1, then P is the midpoint of AB
Using midpoint formula to find its coordinates
A = (1, 2), B = (3, 5) as per graphFinding P:
P = ((1+3)/2, (2+5)/2) = (2, 3.5)Misaki cut some wood for a bookcase she is building.She needs to find how many 13 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem.
Complete question :
Misaki cut some wood for a bookcase she is building.She needs to find how many 1/3 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem
Answer:
15
Step-by-step explanation:
Total Size of board = 5 feets
Size of board to be made = 1/3 feets
Number of 1/3 feets board to be made from 5 feets board :
Total size of board / size of board to be made
5 feets ÷ 1/3 feets
5 feets * 3 / 1 feets
= 15
Hence, number of 1/3 feets board that can be made from 5 feets board = 15
Which ordered pair is a solution of this
equation?
3x - 7y = 28
Answer:
(0,-4)
Step-by-step explanation:
I plugged in 0 for x.
3(0)-7y=28
-7y=28
y=-4
A group of friends eat at Jae's cafe. They have an online coupon. The costs of their main courses, before applying the coupon, are $13.99, $16.99, $19.99, and $21.99. The total cost of their drinks is $12.00. What will their bill be before tax and tip?
Bill before tax and tip will be generated by the original prices of main courses . The total bill is of $84.96
Given, prices of main course at cafe .
The total bill without applying the coupon for that we simply need to add respective costs of main course and drinks bill.
Just adding all the costs to find the bill:
= $(13.99 + 16.99 + 19.99 + 21.99 + 12)
=$84.96
Now since the question asks not to apply coupon and tip so the bill will remain as it is .
Know more about discount,
https://brainly.com/question/20885539
#SPJ4
what's the slope intercept form
Helps me solve this problem please
Answer:
The slope is -3/7 so B
Step-by-step explanation:
Just turn this into slope-intercept form.
what you do is subtract 3x so that it's moved to the right side.
It should look like this -7y = 12 - 3x
Then just divide all numbers by 7 so everything is simplified
It should look like this y = -3/7x - 12/7
pls mark brainliest because i didn't waste you time lol
Nothing but slope.................
Answer:
1. 1
2. 3
3. 4
Step-by-step explanation:
me need help. xjjd j dsj
Answer:
$4.67
Step-by-step explanation:
John + 2 friends = 3
Total cost = $14
$14/3 = $4.6666
$4.6666 ---> $4.67
Consider Brainliest! Hope I helped!
Karsyn went to the movies with her boyfriend Chandler. The movie cost them $25. Karsyn was really hungry because Chandler did not take her out to dinner. She made him buy her snacks for 4.00 each. How many snacks did Chandler have to buy Karsyn, if he spent $44 on their date.
Identify the variable:
Write the equation:
How many snacks did Karsyn eat?
Answer:
4 snacks
Step-by-step explanation:
44 from the overall date - 25 from the movie = 19 dollars. 19 divided by four is 4.75. I'm not sure if this is a real question and you can have a decimal of a snack but you can just write approximately four snacks.
Which list contains three multiples of 6?
A.
12, 16, 24
B.
18, 24, 36
C.
16, 26, 36
D.
60, 66, 69
Answer:
Step-by-step explanation:
Since 18,24,36 all three are divided by 6
So option B is the correct option
What is the slope for y = 4 + 3x? *
Your answer
Answer:
3
Step-by-step explanation:
express 50 1/4 in simplest radical form
Answer:
Step-by-step explanation:
This is just an improper fraction when done.
numerator: 50*4 + 1 = 200 + 1 = 201
denominator: 4
Answer: 201/4
Solving Multi-Step
1. List the steps in order) require
3(z + 5) = 12
I
a)
Answer:
z = -1
Step-by-step explanation:
3(z + 5) = 12
Step 1: Divide both sides by 3.
z + 5 = 4
Step 2: Subtract 5 from both sides.
z = -1
An electrician charges $45 per hour plus a fixed charge of $30. Which of these equations could be used to determine C , the cost an electrician charges for h hours worked?
Brooklyn has 4 3/4 cups of oatmeal. She is dividing the oatmeal into 1/3-cup servings.
Answer:
14 servings
Step-by-step explanation:
4 3/4 = 19/4
19/4 ÷ 1/3
19/4 × 3
57/4
14 1/4 serving if just want one solid answer its 14
Write a function rule that represents the sentence.
y is 4 less than the product of 7 and x.
Finding Missing Sides
These two figures are the image and pre-image of a
dilation.
Find the value of x
4 m
6 m
O 4 m
O 6 m
* 8 m
09 m
6 m
Answer:
the answer is 9
Step-by-step explanation:
I did this quiz the other day and I'm pretty sure that is the answer I hope this helps
True or false, the following two triangles are congruent by HL.
A.) False
B.) True
Lee is selling spirit wear for a fundraiser hats cost $8 and shirts $12 lee sold $272 worth of spirit wear in the first month. If lee sold a total of 28 items how many hats did Lee sell
Lee sold 16 hats.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Cost of 1 hat= $8
Cost of shirt = $12
Total cost of spirit wear= $272
let the number of hats sold be x
and, let the number of shirts sold be y
So, 8x+ 12y= 272
and, x+ y= 28
Solving the above equations we get
8(28- y) + 12y= 272
224 - 8y + 12y = 272
4y = 48
y = 12
and x= 28- 12 = 16
Hence, Lee sold 16 hats.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ5
According to the table, during which interval did the average time spent on hold increase?
O week 1 to week 3
O week 1 to week 4
O week 4 to week 6
week 3 to week 5
Answer:
d
Step-by-step explanation:
took the quiz
Madison walks 0.2 miles on each trip to the ball park.
How far will she walk on 4 trips?
Answer:
0.8 miles
Step-by-step explanation:
0.2 x 4 = 0.8