Answers
Answer:
The expression of the area of rectangle ABCD as simplified polynomial will be:
[tex]A=16x^2-8x[/tex]
Hence, the 2nd option is correct.
Step-by-step explanation:
As we know that the area of a rectangle can be obtained by multiplying the length by the width.
i.e.
[tex]A=l\times w[/tex]
Given
The length of a rectangle ABCD = [tex]l[/tex] = [tex](x+5) + (3x) + (4x-9)[/tex]
The width of a rectangle = [tex]w[/tex] = [tex]2x[/tex]
so the expression of the area of rectangle ABCD as simplified polynomial will be:
[tex]A=l\times w[/tex]
[tex]A=\left[\left(x+5\right)\:+\:\left(3x\right)\:+\:\left(4x-9\right)\right]\:\times \left[2x\right][/tex]
[tex]=\left(\left(x+5\right)+\left(3x\right)+\left(4x-9\right)\right)\left(2x\right)[/tex]
[tex]=\left(x+5+3x+4x-9\right)\times \:2x[/tex]
[tex]=2x\left(8x-4\right)[/tex]
[tex]=16x^2-8x[/tex]
Therefore, the expression of the area of rectangle ABCD as simplified polynomial will be:
[tex]A=16x^2-8x[/tex]
Hence, the 2nd option is correct.
Related Questions
110 + 3x +11 = 16x + 4 solve for x
Answers
Answer:
x = 9
Step-by-step explanation:
110 + 3x + 11 = 16x + 4
121 + 3x = 16x + 4
-3x -3x
121 = 13x + 4
-4 - 4
117 = 13x
117 ÷ 13 = x
9 = x
Check:
110 + 3(9) + 11 = 16(9) + 4
121 + 27 = 144 + 4
148 = 148
Answer:
x=9
Step-by-step explanation:
Jack and Jill are walking to school. After 20 minutes, Jack walked 4/5 mile. After 25 minutes, Jill walked 5/6 mile. What is their speed in miles per hour?
Answers
Answer: Jill: 2mph and jack: 2 2/5 I had this in my test lol and tell me if it was right for you all
Carolyn Mills does maintenance work at a golf course. She worked these hours last season: April, 150; in each of the next four months, 200; September, 100. If she gets paid $10.50 an hour, what was her gross pay for the season?
Answers
Answer:
$11,025
Step-by-step explanation:
April: 150hrs
May-August: 200hrs x 4 = 800 hrs
September: 100 hrs
$10.50/hr pay rate
150+800+100 = $1,050
$1,050 x $10.50 = $11,025
*Gross pay is the amount of money made before tax
NEED ASAP !!
Fill in the rest of the graph ? 2 .
How can u tell when Greg was going fastest ?
Answers
Answer:
When greg has the lead
Step-by-step explanation:
James’ dealership pays him a commission of $500 profit on each car sold plus a flat salary of $1500 per month. Find the number of cars James sold if his total salary is $12,000 for the month.
Answers
Will mark brainliest please help me ASAP thank you it is due soon
Answers
Answer:
y = -5/2x + 7
Step-by-step explanation:
The line is perpendicular, so mx is the reciprocal of 2/5 which would be -5/2. Then you plug that and (4, -3) into the equation y = mx + b, which will come out as -3 = (-5/2)(4) + b. Multiply mx to get -3 = -10 + b. Add 10 to both sides to get 7 = b. Plug in mx and b into the equation and you have your answer.
How many even k-digit numbers can be constructed out of the digits 3, 4, 5, 6, and 7?
a. Assume first that you may use the same digit again.
b. Assume that you cannot use a digit more than once.
Answers
Answer:
A. 1562 numbers , B. 130 numbers
Step-by-step explanation:
A) Using same digit again
1 digit nos = 2 ( ie 4 , 6 )
2 digit nos = 5 (ie any no) x 2 ( ie 4 ,6 )
Similarly
3 digit nos = 5 x 5 x 2
4 digit nos = 5 x 5 x 5 x 2
5 digit nos = 5 x 5 x 5 x 5 x 2
Adding all 5 equations
Total = 2 + 10 + 50 + 250 + 1250 = 1562
B) Cant use a digit more than once
1 digit nos = 2 ( ie 4 , 6 )
2 digit nos = 4 ( ie any no other than 4 or 6) x 2 ( ie 4 , 6 )
Similarly
3 digit nos = 4 x 3 x 2
4 digit nos = 4 x 3 x 2 x 2
5 digit nos = 4 x 3 x 2 x 1 x 2
Adding all five equations
Total = 2 + 8 + 24 + 48 + 48 = 130
x2 + 10x + 9 = 0 factor form
Answers
Answer:
11/10
Step-by-step explanation:
Find the unit price rounded to the nearest cent: $12.35 for 11 lb.
Answers
Answer:
$1.12 per lb
Step-by-step explanation:
plz explain in a paragraph to get brainliest
Answers
Answer:
500 people took the survey.
Step-by-step explanation:
12 divided by 3 is 4 and 15 divided by 3 is 5. that means 4 of every 5 people prefer restaurants. Multiply that by 100 and you get 400 of every 500 people prefer restaurants. Hope this helps!
What is the image of -1,-4 after a reflection over the x axis
Answers
The image of the point after the reflection over x axis is P' ( -1 , 4 )
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the point be represented as P
Now , the coordinates of the point P is P ( -1 , -4 )
The point P is reflected over the line x axis ,
So , when you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.
Substituting the values in the equation , we get
The image of the reflected point is P' ( -1 , - ( -4 ) )
The image of the reflected point is P' ( -1 , 4 )
Hence , the reflected point is P' ( -1 , 4 )
To learn more about reflection click :
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Algebra helppppp nowwww plzzzzzz
Answers
Hope this helps
explain whether the points (13,4), (-7,3), (-1,2), (5,1), (11,0), (17,-1) represents the set of all the solutions for the equation y= -1/6x + 11/6
Answers
Answer:
It does represent the equation
Step-by-step explanation:
y=mx + b
y= -1/6x + 11/6
which phrase should be inserted in the line to correctly compare the two fractions? use the models for help.
6/10______4/6
A) is greater than
B) cannot be compared to
C) is less than
D) is equal to
Answers
Answer:
A.
Step-by-step explanation:
They estimate that their current (older) fridge, which they got for free, costs them about $17 a month in electricity charges to operate. They found a new fridge that costs $1,050 to purchase and would cost only around $6 a month in electricity charges.
The new fridge comes with a 10-year warranty, so they assume the new fridge to last for 10 years without any extra repair or replacement fees.
If they keep their old fridge, then they assume they will need to pay around $220 sometime over the next 10 years in maintenance costs to keep it running.
(For this comparison, assume they set aside the money to maintain the old fridge right at the beginning of the 10 years, even though they probably won't need the money until several years later.)
Let x represent the number of months. Let y represent total cost in dollars.
Step 3: Apply Quantitative Tools
Set up a system of equations that could be used to help Garrett and Judy Kay decide if buying the new fridge is worth it.
Create functions that describe the total cost in dollars for each fridge.
New Fridge Total Cost Function
Answers
Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.
A cookie recipe for 12 cookies calls for 4 cups of flour. How much flour is needed to make 90 cookies?
Answers
Answer:
30 cups of flour
Step-by-step explanation:
For every 12 cookies you need 4 cups of flour, which represents 1 batch of cookies. You want to figure out how many batches there are in 90 cookies. To do this you divide the total amount of cookies by the number of cookies in a batch.
90 cookies total/12 cookies/batch = 7.5 batches of cookies.
For each batch you need 4 cups of flour so you multiple the number of batches by the number of cups of flour.
7.5 batchs * 4 cups/batch = 30 cups of flour
so you need 30 cups of flour to make 90 cookies
HELPPPP ANSWER IN 2mins AND I WILL GIVE YOU BRAINLY MASTER THING Which of the following number sentences is an example of the identity property? Select all that apply.
x 1
8.7 + 0 = 8.7
1.5 x 4 = 6
+ 11
1 + 1
Answers
Answer:
a and c
Step-by-step explanation:
Dave says:
The only quadrilateral with two lines of symmetry is a rectangle.
Is Dave correct?
Explain your answer
Answers
Answer:
a rectangle is having 4 lines of symmetry but a trapezium is having 2 lines of symmetry
The quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.
Quadrilateral- Quadrilateral is a type of polygon with closed shaped which has four sides, four angles and four vertices. The sum of this interior angle are always equal to 360 degrees.Rectangle- A rectangle is a type of polygon and closed two dimensional figure with four sides, four angles and four vertices. In the rectangle the length of the opposite side are equal. Rectangle has two lengths and two widths.Statement of the Dave- The only quadrilateral with two lines of symmetry is a rectangle-A quadrilateral with two lines of symmetry means the line about which one part of figure is mirrored to the other image. such quadrilateral with two lines of symmetry will become the rhombus shape. The shape is similar to the kite shape. Thus the above statement is not correct.
By the above discussion we conclude that the quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.
For more about the quadrilateral follow the link below-
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what are 4 different slopes
Answers
Answer:
negative, positive, zero, and undefined
Step-by-step explanation:
justin did push ups every day this week. he did 8 push ups monday. 14 push ups on tuesday. 18 push ups wednesday. 6 pushups thursday, and 8 push ups friday. find the mean number of pushups.
Answers
Answer:
9
Step-by-step explanation:
if you list them from least to greatest, it would go: 6, 8, 8, 9, 12, 14, 18
Eliminate it one by one on each side and the middle number is 9
Answer:
The mean number is 10.8
Step-by-step explanation:
Since the mean number is the average of all numbers divided by how many there are, then 8+14+18+6+8=54. 54 divided by 5 equals 10.8.
hey guys its addison ray
Answers
Answer:
what do you want answered
Step-by-step explanation:
ive heard of you but i dont know who you are. arent you on tic tac
Answer:
This isnt addison rae at all. Addison wouldnt be on this app. This is basically identity theft and if the REAL addison rae find out that you are pretending to be her she can sue you for identity theft :) have fun!
what is the distance from -2 to 0 ?
Answers
Answer:
B :)
Step-by-step explanation:
PLS HELP !) POINTS What is the solution to the equation 5 + 9x = 50?
x = 1
x = 4
x = 5
x = 6
Answers
Which of the following is the graph of y = sin(0.5x)?
Answers
The graph of option B is the graph of y=sin(0.5x).
Period of sin graphThe formula to find the period of the graph of sin(bx) is [tex]P=\dfrac{2\pi}{b}[/tex]
How to find the graph?Use the formula [tex]P=\dfrac{2\pi}{b}[/tex] in order to find the graph of y=sin(0.5x) where we will substitute b=0.5.
We will get,
[tex]P=\dfrac{2\pi}{0.5}\\P=\dfrac{20\pi}{5}\\\\P=4\pi[/tex]
Here the period of the graph y=sin(0.5x) is [tex]4\pi\\[/tex].
So, the graph of option B is the graph of y=sin(0.5x) as it has the period of [tex]4\pi\\[/tex].
Learn more about the period of sin graph here- https://brainly.com/question/7803748
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Answer:
D on edge 2023
Step-by-step explanation:
Write an equation for the line that has slope -2 and passes through the point (3, - 4). SHOW YOUR WORK
Answers
Answer:
2x+y-2=0
Step-by-step explanation:
Solution
Here,
Passing point P(x,y)= (3,-4)
Slope(m)= -2
Now Equation of the line
(y - y1)=m(x - x1)(y+4) =-2(x-3)
y+4 = -2x+6
2x + y =22x +y -2 =0 which is the required equation of the line
Please answer these questions in the image ( click image to see fully )
Answers
9) x= -7
10) x= 10
11) x= 5
12) x= 6
13) x= 4
14) x= -9
15) x= 3
16) x= 9
sorry it took so long! hope this helps!! :)
5. What is the surface area of the following shape
Answers
Answer:
ummm im pretty sure you mean area.... 2d shapes dont have surface area.... but ok... also is the bottom 10? i think so.... then its 90 MARK AS BRANLIEST BCUZ I SAVED YOU
Step-by-step explanation:
1/2x6x(10+20)
1/2x6(30)
3x30
90
Find the value of X
Answers
Answer:
16
Step-by-step explanation:
90=41+3x+1
After walking 1/4 mile from home, Han is 1/3 of his way to school. What is the distance between his home and school?
VERY URGENT NEEDED ASAP
Answers
I think the formula is 1/4 divided by 1/3.
How to divide these fractions is to flip the 1/3 over, so the new problem would be 1/4x3.
The answer will be 3/4 miles.
Hopefully this helps!
Assume that the mean length of a human pregnancy is 269 days. If 95% of all human pregnancies last between 249 and 289 days, what is the standard deviation of the distribution of lengths of human pregnancies? What percent of human pregnancies are expected to last at least 287 days?
Answers
Answer:93% not sure
Step-by-step explanation: