Write an expression to represent the area of the rectangle below in simplest form.
Answers
Given:
The length of the rectangle is:
[tex]l=x^2-x+3[/tex]
The width of the rectangle is:
[tex]w=4x+1[/tex]
To find:
The area of the given rectangle in the simplest form.
Solution:
We know that, the area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is the length and w is the width of the rectangle.
Using the above formula, the area of the given rectangle is:
[tex]A=(x^2-x+3)\times (4x+1)[/tex]
[tex]A=x^2(4x)+x^2(1)-x(4x)-x(1)+3(4x)+3(1)[/tex]
[tex]A=4x^3+x^2-4x^2-x+12x+3[/tex]
[tex]A=4x^3-3x^2+11x+3[/tex]
Therefore, the area of the given rectangle is [tex](4x^3-3x^2+11x+3)[/tex] sq. units.
Related Questions
41.89° = 41° + (0.89 X 60)' = 41° + 53.4
41°53' to the nearest minute.
eo
Exercise 5b
In AABC, A = 290, B = 36º, b = 15-8 cm.
Find a.
1
Answers
Answer:
a
Step-by-step explanation:
Sarah bought a pair of shoes that were discounted 12.5%. If the non-sale price was s,
which expression represents the cost Sarah paid for the shoes?
a. 1-0.125
b. 1-0.125s
c. 0.875s
d. 5-0.875
Answers
Answer:
B
Step-by-step explanation:
It took a train 2 3/5 hours to travel 87 1/10 miles. What was the train's
average rate of speed?
Answers
Step-by-step explanation:
speed = distance/speed
= 871/10 ÷ 13/5
= 871/10 × 5/13
= 67/2 = 33.5miles/hour
help fast please please please
Answers
Answer:
1). The correct answer is letter A)
6). The correct answer is letetr D)
Step-by-step explanation:
Let be the equation of a sin function:
[tex]sin(x)=Asin(B(x+C))+D[/tex]
Where:
A is the amplitudeThe period is 2π/BC is the phase shift leftD is the vertical shiftWe can see from the image of the problem (6):
The amplitude is: A = 3 units
The vertical shift is: D = 6 units
The phase shift is: C = π
The period is : P = 4π = 2π/B then B = 1/2
Therefore the correct answer is letetr D)
[tex]sin(x)=3sin(0.5(x+\pi))+6[/tex]
In the problem (1) we have:
The amplitude is: A = -2 units
The vertical shift is: D = 6 units
The phase shift is: C = π/4
The value of B = 1
Then the correct answer is letter A)
I hope it helps you!
PLEASE HELP!!!!!!!! I WILL MARK BEAINLIEST
Answers
Answer:
7/8
Step-by-step explanation:
1 and 1/8
2 and 2/8
Select the three expressions that are equivalent to 2 (4 - 3x) + (5x-2)
Answers
Answer:
The answer correct the questions is 11x-10
Answer:
Step-by-step explanation:
2 (4 - 3x) + (5x-2) can be solved in several basic steps. First, distribute multiplication in 2(4 - 3x), obtaining 8 - 6x and (overall) 8 - 6x + 5x - 2.
Combine like terms: -x = -10, or x = 10
what is the median of the following numbers 9,10,6,5,6
Answers
Answer:
6
Step-by-step explanation:
The median is the middle of numbers in order.
5, 6, 6, 9, 10
So the number in the middle is 6.
✨20 points✨
Madeline invests $25,000 in an account that offers a compound interest rate
of 9.5% per year. Which of the following is the correct equation for how much
Madeline will have after 8 years?
Answers
25,000 x (0.95)*8 means the interest changes every year and the interest is calculated of the annual rate
The correct equation for how much Madeline will have after [tex]8[/tex] years will be [tex]25000(1+0.095)^8[/tex] which is in option [tex](b)[/tex].
What is compound interest ?Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest
Amount [tex]=P(1+\frac{R}{100})^t[/tex]
We have,
Principal [tex]=\$25,000[/tex]
Rate[tex]=9.5\%[/tex]
Time [tex]=8[/tex] years
Now,
Using the above mentioned formula,
Amount [tex]=P(1+\frac{R}{100})^t[/tex]
[tex]=25000(1+\frac{9.5}{100})^8[/tex]
Amount [tex]=25000(1+0.095)^8[/tex]
So, the equation for final amount is [tex]25000(1+0.095)^8[/tex].
Hence, we can say that the correct equation for how much Madeline will have after [tex]8[/tex] years will be [tex]25000(1+0.095)^8[/tex] which is in option [tex](b)[/tex] .
To know more about Compound interest click here
https://brainly.com/question/13155407
#SPJ3
What is a correct expansion of (4x+1)(2x^2-2)
A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)
B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)
Answers
Answer:
A. (4x+1)(2x squared -2) you would simply distribute the numbers.
4x(2x squared) + 4x(-2) + 1(2x squared) + 1(-2)
Step-by-step explanation:
which one is the right one
Answers
Answer:
A
Step-by-step explanation:
Use the term-to-term rule 'divide by 2' and complete the sequence:
8, ____, ____, ____
Answers
Find the angle in the interval 700° < θ ≤ 1060° such that θ is coterminal with 304°.
Answers
A trader bought 40 shirts for Birr 220 and sold them at Birr 72 each
Find the profit percentage.
Answers
Given:
Cost price of 40 shirts = Birr 220
Selling price of each shirt = Birr 72
To find:
The profit percentage.
Solution:
We have,
Cost price (CP) of 40 shirts = Birr 220
Selling price (SP) of each shirt = Birr 72
So, the selling price (SP) of 40 shirts is:
[tex]72\times 40=2880[/tex]
We need to find the profit percentage.
[tex]\text{Profit percentage}=\dfrac{SP-CP}{CP}\times 100[/tex]
[tex]\text{Profit percentage}=\dfrac{2880-220}{220}\times 100[/tex]
[tex]\text{Profit percentage}=\dfrac{2660}{220}\times 100[/tex]
[tex]\text{Profit percentage}=1209.09\%[/tex]
Therefore, the profit percentage is 1209.09%.
the sides across from each other are called_____ sides
Answers
Answer: Vertical Angles are the angles opposite each other when two lines cross.
Step-by-step explanation:
Answer:
hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle
Step-by-step explanation:
Can someone pls give me the answer to this I need it please
Answers
Answer:
i believe it's the first one
Step-by-step explanation:
what is the length of the triangle below?
Answers
Answer:
b-78 give me brainiest
Solve the inequality. -8y_<40 The solution is .
Answers
Answer:
Hi! The answer to your question is y [tex]\geq[/tex] -5
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
I CAN DO IT!
A. Directions: In a 500-m run competition, the following data was recorded. Solve
velocity using the formula, v-d/t, wherein: v=velocity, d=displacement, time
v(m/s)
PLAYERS
Marione
Hannah
William
Princess
Axel
d(m)
500in
500m
500m
500m
500m
t(s)
53
60
55
58
63
Paturo plsss answer now
Answers
Answer:
Marione= 500/53= 9.43m/s
Hannah= 500/60= 8.33m/s
William= 500/55= 9.09m/s
Princess= 500/58= 8.62m/s
Axel= 500/63= 7.94m/s
If the length of the 45° region of this circle is 10 inches, what is the radius of the circle? Use and round to the nearest tenth.
Answers
Answer:
12.71in
step explanation:
The Length of an arc given is expressed as;
A = theta/360 * 2πr
10 = 45/360 * 2 * 3.14r
10 = 1/8 * 6.28r
Cross multiply
10 * 8 = 6.28r
80 = 6.28r
r = 80/6.28
r = 12.74in
Hence the radius is 12.71in
plz answer brainliest and 20 points
Answers
Answer:
hi
Step-by-step explanation:
what kind of number is 4
Answers
Answer: Its a whole number. It is a composite number.
Step-by-step explanation:
Explain how you can tell whether the sum of two numbers is positive or negative before you add. Give examples to illustrate your point.
Answers
If a postive number is bigger than the negative number it will be positive 50 - 49= 1
Bigger Negative number - smaller positive number will be negative
The average age of the ten people on my basketball team was 13.5, but then a fifteen year old joined our team and an 11 year old quit the team. What is the average age of my team now?
Answers
Answer:
The new average is 134/10, or 13.4 years.
Step-by-step explanation:
a + b + c + d + e + f + g + h + i + j
------------------------------------------------ = 13.5 (the original average)
10
15 years is 1.5 year older than the 13.5 average and 11 years is 2.5 younger than that. The net change is 1.5 - 2.5, or -1. The number of players remains the same: 10. We subtract 1 from the sum of the player ages and divide the result by 10:
a + b + c + d + e + f + g + h + i + j - 1
--------------------------------------------------- = 13.4 (the new average)
10
Note that the sum of the original 10 ages is (10)(13.5), or 135, which becomes 134 after the 15-year-old joined the team and the 11 year old quit. The new
average is 134/10, or 13.4 years.
y = x/7 -18 What is the value of y when x = 133?
*Please show work. (Is not mandatory but try to*
Answers
Answer:
1
Step-by-step explanation:
(133)/7 - 18
133 ÷ 7 = 19
19 - 18 = 1
Answer: y = 1
Step-by-step explanation:
Well if x is 133 then the problem is y = (133/7) -18
and 133/7 is 19
so the problem is y = 19 - 18
and 19 - 18 is 1, so
y = 1
A scuba diver was rising back to the surface after taking photos under water. At 2:50 P.M.,
he was at an elevation of 15.3 feet. At 2:55 P.M., the diver’s depth was 3.7 feet. By how
many feet did the diver’s position change from 2:50 P.M. to 2:55 P.M.
Answers
Answer:
the answer is 11.6 feet
Step-by-step explanation:
you simply subtract the feet of the depth he was at at 2:55pm from his depth at 2:50pm
can someone help?? please!
Answers
Answer:
cheese
Step-by-step explanation:
cheese is the best answer
Which is greater, 4 or v26
Answers
Answer:bvvve26
Step-by-step explanation:
HELP!! What is the range of this function?
Answers
Answer:
Your range is A since that is the Y column
Step-by-step explanation:
Louise begins factoring the polynomial, which has four terms. Which is the completely factored form of her polynomial?
8x3+24x2+10x+30
2(4x3+12x2+5x+15)
2[4x2(x+3)+5(X+3)]
which is the completely factored form of her polynomial?
○8x^2(x+3)^2
○2x(4x^2+5)
○2(4x^2+5) (x+3)
○2(4x^2+5) (x+3)^2
Answers
8x^3 + 24x^2 + 10x + 30
Factor out a common term, which is 2:
2(4x^3 + 12x^2+5x+15)
Now factor inside the parentheses to get final answer:
2(4x^2+5)(x+3)
Answer:
Question 1:
Louise begins factoring the polynomial, which has four terms.
8x3+24x2+10x+30
2(4x3+12x2+5x+15)
2[4x2(x+3)+5(x+3)]
Which is the completely factored form of her polynomial?
8x2(x + 3)2
2x(4x2 + 5)
2(4x2 + 5) (x + 3)
2(4x2 + 5) (x + 3)2
Answer is C
Question 2
Wen is factoring the polynomial, which has four terms.
6x3 – 12x2 + 7x – 14
6x2 (x – 2) + 7(x – 2)
Which is the completely factored form of his polynomial?
(6x2 + 7) (x –2)
(6x2 – 2) (x +7)
(6x2 + 2) (x – 7)
(6x2 – 7) (x + 2)
answer is A
Question 3
Which is the completely factored form of 3x2 – 12x – 15?
3(x + 1)(x – 5)
3(x – 1)(x + 5)
(3x + 1)(x – 15)
(3x – 1)(x + 15)
answer is A
question 4
Antonia is factoring the polynomial, which has four terms.
21x3−63x2+15x−45
3[7x3−21x2+5x−15]
3[7x2(x−3)+5(x−3)]
Which is the completely factored form of her polynomial?
21x2(x − 3)
36x2(x − 3)
3(7x2 + 5) (x − 3)
3(12x2 + 5) (x − 3)
answer is C
question 5
What is the greatest common factor of the terms in the polynomial 4x4 – 32x3 – 60x2?
4
4x
4x2
4x3
answer is C
question 6
Which product of prime polynomials is equivalent to 8x4 + 36x3 – 72x2?
4x(2x – 3)(x2 + 6)
4x2(2x – 3)(x + 6)
2x(2x – 3)(2x2 + 6)
2x(2x + 3)(x2 – 6)
answer is B
question 7
Which product of prime polynomials is equivalent to 36x3 – 15x2 – 6x?
x(3x – 2)(4x + 1)
3x(3x – 2)(4x + 1)
3(x2 + 1)(4x – 1)
3(x2 + 1)(4x + 1)
answer is B
question 8
Pascha is factoring the polynomial, which has four terms.
3x3 – 15x2 + 8x – 40
3x2(x – 5) + 8(x – 5)
Which is the completely factored form of her polynomial?
(3x2 – 5) (x + 8)
(3x2 – 8) (x + 5)
(3x2 + 8) (x – 5)
(3x2 + 5) (x – 8)
answer B
question 9
Which product of prime polynomials is equivalent to 3x4 – 81x?
3x(x – 3)(x2 – 3x – 9)
3x(x – 3)(x2 + 3x + 9)
3x(x – 3)(x – 3)(x + 3)
3x(x – 3)(x + 3)(x + 3)
answer B
question 10
Which product of prime polynomials is equivalent to 8x3 – 2x?
x(2x – 1)(2x – 1)
2x(x + 1)(x – 1)
2x2(2x + 1)(2x – 1)
2x(2x + 1)(2x – 1)
Answer D
On Tuesday morning, the temperature was recorded
at 5°C. Over the course of the day, the temperature
dropped 7º. After this drop, what temperature will be
recorded?
A 12° C
B 2°C
C -2°C
D -12° C