Given that,
Length of a rectangular courtyard = (3x+5)
Width of a rectangular courtyard = (2x-3)
To find,
The expression for area of the courtyard.
Solution,
The area of the rectangular shaped object is given by :
A = lb
Substituting all the values,
A = (3x+5) (2-3)
= (3x)(2)-(3x)(3)+(5)(2)-(5)(3)
= 6x-9x+10-15
= -3x-5
So, the area of the courtyard is (-3x-5).
By direct calculation (multiplying the two given linear polynomials) we will see that the expression that represents the area is:
A = 6x^2 + x - 15
We know that the area of a rectangle of width W and length L is given by:
A = W*L
Here we know that:
L = 3x + 5
W = 2x - 3
Now we can just replace these in the area equation to get:
A = (3x + 5)*(2x - 3) = 6x^2 + 10x - 9x - 15
A = 6x^2 + x - 15
This is the expression that represents the area of the courtyard.
If you want to learn more, you can read:
https://brainly.com/question/2295917
Tj Max is offering a 15% discount on all items .The new price of a pair of jeans is 44.20 .What was the original price
Answer:
$52
Step-by-step explanation:
To find an original price you must find how much of a percent was left before the discount.
100% - 15% = 85%
You then take this percentage a DIVIDE it by the new price.
$44.20/85% = $52 is the original price of the jeans.
Would this be X method factoring and how would I do it if X isn’t alone to begin with
Answer:
Option C
Step-by-step explanation:
Given polynomial is,
x² - 3x - 18 = x² - 6x + 3x - 18
= x(x - 6) + 3(x - 6)
= (x + 3)(x - 6)
We can rewrite the polynomial in factored form as,
x² - 3x - 18 = (x - 6)(x + 3)
Therefore, (x - 6) will be one of the factors of the given polynomial.
Option (C) is the answer.
What is the value of x?
Answer:
x = 14
Step-by-step explanation:
Hey there! When it comes to the problem here, both of the degrees should be equal to each other. Setting it up, 4x+1=57 would be how it would be written out, and then you would subtract the 1 to get the 4x by itself. From there, you'd divide 56 by 4, getting you 14. I hope this helped! <3
What is the input value that produces the same output
value in both charts?
O-2
O-1
O 1
O 2
Step-by-step explanation:
When f(x) = g(x),
-0.5x + 2 = 2x - 3.
=> 2.5x = 5, x = 2.
The input value that gives the same output in both charts is 2.
Rihanna bought 3 pounds of oranges for $2.52. How much did she pay per
pound?
which is 0.78
3 divided by 2.52
100%, percent is shown on the following tape diagram.
What percent is represented by the entire tape diagram?
Answer:
60%
Step-by-step explanation:
Answer:l
Step-by-step explanation:
l
A swimmer dives to 65 feet below the surface of the ocean. Write the integer that represents the depth of the dive.
Answer:
-65
Step-by-step explanation:
Which expression is equivalent to the one below?
o -1/2(10+ 1/4)
o -5 - 1/4
o -5 + 1/8
o -5 +1/4
Please help me :)
Answer:
The answer is -5 + 1/8
Step-by-step explanation:
If you use the distributive property, which is mandatory with parenthesis you first multiply -1/2 by 10 which is -5. The next step is to multiply -1/2 by 1/4 which is -0.125 or -1/8, which the closest answer to it is -5 + 1/8. Hope this helps :)
Jackie expects 327 people at her banquet. She noticed that there were 48 napkins in a package. How many full packages of napkins will she need? How many napkins will be left? (only answer if you know)
Answer:
She will need 7 full packs of napkins and will have 9 napkins left over.
Step-by-step explanation:
48*7=336
7 full packs of napkins
336-327=9
9 napkins left over
Algebraic expression of twice a number, minus 13
Answer:
2x-13
Step-by-step explanation:
What expression is equivalent to x^-1 • y^-2?
Answer:
1/(xy^2)
I hope it will be useful.
Answer:
1/x times 1/y squared
Step-by-step explanation:
Patty had $3.75 in quarters and nickels. She has a total of 27 coins. How many quarters does she have?
Answer:
15 nickles 12 quarters
Step-by-step explanation:
can someone pls please help me
Answer:
B
Step-by-step explanation:
We have to use the domain to see how much the line streches across the y axis
Answer:
c
Step-by-step explanation:
what is 126.9230769230769 as a percent?
Answer: 18282
Siri
Step-by-step explanationnznsndbdn: just wait %64
which is greater -2/8 or -7/32
Answer:
-2/8 is greater
Step-by-step explanation:
prove me wrong
If (a^x a ^y) - a^z = a^m then express m in terms of x, y and z.
Answer:
m = x+y-z
Step-by-step explanation:
Given the expression.
(a^x a ^y) ÷ a^z = a^m
We are to express m in terms of x, y and z.
Using the multiplicative law of indices, the expression becomes:
a^{x+y} ÷ a^z = a^m
Applying the division rule in indices
a^{x+y} ÷ a^z = a^{x+y-z}
The equation becomes
a^{x+y-z} = a^m
Cancel out the base and equate the powers as shown:
x+y-z = m
Hence the expression of m in terms of x, y and z is m = x+y-z
x+y=-9
2x-y=6
slove by graphing
Answer:
x+y=9....(i)
2x-6=y....(ii)
then putting the value of y in (i) eqn
x+2x-6=9
3x=15
x=5
Now, putting the value of x in (ii) eqn
then 2*5- 6 =4
Step-by-step explanation:
SO the value of x is 5 and y is 4
HOPE IT HELPS YOU....❤
The midpoints of an irregular quadrilateral ABCD are connected to form another quadrilateral inside ABCD. Complete the explanation of why the quadrilateral is a parallelogram.
Answer:
Suppose: M, N, P, Q are the midpoints of AB, BC, CD, AD respectively
=> MNPQ is the quadrilateral inside ABCD
connect B to D, ΔABD has : M is the midpoint of AB
Q is the midpoint of AD
=> MQ is the midpoint polygon of ΔABD
=> MQ // BD and MQ = 1/2.BD (1)
ΔBCD has: N is the midpoint of BC
P is the midpoint of DC
=> NP is the midpoint polygon of ΔBCD
=> NP // BD and NP = 1/2.BD (2)
from (1) and (2) => MQ // NP ( //BD)
MQ = NP (=1/2.BD)
=> MNPQ is a parallelogram.
=> the quadrilateral inside ABCD is a parallelogram.
Step-by-step explanation:
Help please
Thank you!!!!
Answer:
i think it is 3rd option
Answer:
its the 3rd
Step-by-step explanation:
78 is calories in 3/4. How many calories is in one cup
Answer:
208 or 104
Step-by-step explanation:
1 in = 2.45 how many centimeters equal 13 in
Answer:
33.02 cm in 13inches
Step-by-step explanation:
The perimeter of a rectangular parking lot is 360 m. If the width of the parking lot is 85 m,what is it’s lenght?
Answer:
95m
Step-by-step explanation:
Formula:p=2(l+w)
360m=2(l+85m)
360m=2l+170m
360m-170m=2l
190m/2=2l/2
L=95m
Solve and graph the inequality: -2p > -16
Answer
p>-14Step-by-step explanation:
-2p>-16p>-16+2p>-14The perimeter of a rectangle is 48 cm. If the length is 3 cm more than a number and the width is 6 cm more than twice the same number. What is the number?
Answer:
x = 5cm.
Step-by-step explanation:
Let the number be x
Given the following data;
Length of rectangle = x + 3
Width of rectangle = 2x + 6
Perimeter of rectangle = 48 cm
The formula for the calculating the perimeter of a rectangle is;
Perimeter = 2(L+W)
Substituting into the equation, we have;
48 = 2(x + 3 + 2x + 6)
48 = 2(3x + 9)
48 = 6x + 18
48 - 18 = 6x
30 = 6x
x = 30/6
x = 5
i need help with this question
Answer:
its f
Step-by-step explanation:
1. A model rocket is launched from the roof of a building. Its flight path through the
air is modeled byn = -312 + 120 + 36, where h is the height of the rocket above the
ground in meters and tis the time after the launch in seconds.
a) What is the height of the building?
b) How long does it take for the rocket to hit the ground?
c) At what time does the rocket reach maximum height? What is the maximum
height?
d) For how long does the rocket have a height of 45m or greater?
Answer:
-156
Step-by-step explanation:
5
CHALLENGE Sara had some marbles. She got 20 more marbles for her
birthday, and she got 30 marbles at the store. Now Sara has 100 marbles.
How many marbles did she have to start?
Answer:
she started with 50 marbles
Step-by-step explanation:
The total is 100 than you just subtract 20 and 30 becasue that is what is added later on. After you subtract 20 and 30 from 100 you will get 50. Therefore Sara had started out with 50 marbles.
Hope that helps :)
Answer: 50 marbles
Step-by-step explanation: Working backwards we ended with 100 marbles so subtracting the 30 marble we're told she bought at the store and subtracting an additional 20 marbles she received for her birthday leaves her with 50 marbles or mathematically 100-30-20=x where x=50
guys answerrrrr!!!!!!!
Answer:
yeah guys answerrrrrr!!!!
Step-by-step explanation:
like dam show some respect
PLEASE HELP! Which number completes the system of linear
inequalities represented by the graph?
y> 2r-2 and x + 4y > [blank]
Answer:
5 and 5
Step-by-step explanation:
y and x put a line
361 DIVIDED by 190,969
Answer:
0.00189035916
Step-by-step explanation:
Answer:
0.00189035916824196597353497164461
Step-by-step explanation: