Which of the following is equivalent to (2a+1)(2a+1)?
O (2a + 1)2
O 4a + 2
O 2(2a + 1)
O4a²+1
The equivalent expression is (2a + 1)².
Option (A) is correct.
What is a Polynomial?Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns. They serve as the foundation for solving algebraic equations.
As per the given data in the question:
We are given an expression, and we have to find out the equivalent expression from the given options in the question.
The expression is (2a + 1)(2a + 1)
For option (A). (2a + 1)²
In (2a + 1)(2a + 1) using associative multiplication.
= 2a.2a + 2a + 2a + 1
= 4a² + 4a + 1
Using the identity: a² + 2ab + b² = (a + b)²
4a² + 4a + 1 = (2a + 1)²
The equivalent expression is (2a + 1)².
Hence, The equivalent expression is (2a + 1)².
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Which algebraic expression represents “the quotient of a number and thirty"?
30 + a
30a
30/a
a/30
Answer:
a/30
Step-by-step explanation:
quotient means divide
a/30 because "a number" was first in the expression
Answer:
a/30
Step-by-step explanation:
i took the test
[Insert Long, Boring, Smart, Explanation that deserves to be marked as Brainliest, and will be verified after about a year lol]
I am so lost an I can't fail this class
Brandon opened a credit card at a department store with an APR of 14.99% compounded monthly. What is the APY on this credit card? A. 1.25% B. 29.98% C. 16.06% D. 19.55%
Answer:
real annual rate= 0.1606 = 16.06%
Step-by-step explanation:
Giving the following information:
APR= 14.99% = 0.1499
First, we will determine the nominal monthly rate:
Nominal monthly rate= 0.1499/12
Nominal monthly rate= 0.01249
Now, to calculate the real annual rate, we need to use the following formula:
real annual rate= [(1 + Nominal monthly rate)^n] - 1
real annual rate= [(1.01249^12) - 1]
real annual rate= 0.1606 = 16.06%
#13 If you sleep 32% of the year (12 months), how many months do you spend sleeping? Round your answer to the nearest tenth. *
Answer:
I think about 3.5 months or its 4 months
Step-by-step explanation:
32% is about 30% and 30% as a decimal is .3
12 * .3 = 3.6
3.6 rounded to the nearest tenth is 3.5 or 4
Correct me if I'm wrong
Finding missing angles
Answer:
60
Step-by-step explanation:
The length of a straight line is 180
To find x subtract 180 by 120
180-120=60
What is the solution of StartRoot 2 x + 4 EndRoot = 16? x = 6 x = 72 x = 126 no solution
Answer:
x=126
Step-by-step explanation:
C on edge just took the test.
[tex]x = 126[/tex] is the solution for equation [tex]\sqrt{2x+4}=16[/tex].
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given equation
[tex]\sqrt{2x+4}=16[/tex]
Squaring on both sides
[tex](\sqrt{2x+4} )^{2} =16^{2}[/tex]
⇒ [tex]2x+4=256[/tex]
Subtract 4 on both sides.
⇒ [tex]2x +4-4=256-4[/tex]
⇒ [tex]2x = 252[/tex]
⇒ [tex]x =\frac{252}{2}[/tex]
⇒ [tex]x = 126[/tex]
[tex]x = 126[/tex] is the solution for equation [tex]\sqrt{2x+4}=16[/tex].
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(-8, -8), slope is 3
Answer:
ok wdym by that is that a question ?
Which number has an absolute value that is less than 25?
Answer:
l-25l
Step-by-step explanation:
frazers scores 75% in a spelling test with 40 questions, how many did he get right?
Answer:
30
Step-by-step explanation:
25% is 10 and if you multiply that by 3 to get 75% the answer is 30
Each function below is a translation of the graph of the function f(x) = x^2. Match the function with the description of its relationship to the parent function.
Answer: h(x)=x^2-1: down 1
k(x)=x^2+1: up 1
m(x)=(x-1)^2: right 1
g(x)=(x+1)^2: left 1
Step-by-step explanation: just answered this question on edge 2020.
The Verrazano Narrows Bridge has a main span of 3,260 feet. The Akashi Kaikyo Bridge has a main span that is about 54% longer. What is the length of the main span of the Akashi Kaikyo Bridge to the nearest foot?
Answer:
Rounding it to the nearest foot, the length of the main span of the Akashi Kaikyo Bridge is 5,020 feet.
Step-by-step explanation:
Given that the Verrazano Narrows Bridge has a main span of 3,260 feet, while the Akashi Kaikyo Bridge has a main span that is about 54% longer, to determine the length of the main span of this last bridge, the following calculation must be performed:
3,260 x 1.54 = X
5,020.4 = X
Thus, rounding it to the nearest foot, the length of the main span of the Akashi Kaikyo Bridge is 5,020 feet.
When testing for current in a cable with eleven color-coded wires, the author used
required for every possible pairing of two wires?
meter to test two wires at a time.
The number of tests required is
Derermine the intercepts of the line x-intercept(____,___)
Y-intercept(____,____)
Answer:
x intercept(3, 0) y intercept(0, -10)
What is the slope of the line on the graph?
Answer:
mx plus b
Step-by-step explanation:
the slope is 1 -2
Determine what type of number the solutions are and how many exist for the equation 3x^2+7x+5=0
Answer:
Two complex (imaginary) solutions.
Step-by-step explanation:
To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.
The discriminant formula for a quadratic in standard form is:
[tex]\Delta=b^2-4ac[/tex]
We have:
[tex]3x^2+7x+5[/tex]
Hence, a=3; b=7; and c=5.
Substitute the values into our formula and evaluate. Therefore:
[tex]\Delta=(7)^2-4(3)(5) \\ =49-60\\=-11[/tex]
Hence, the result is a negative value.
If:
The discriminant is negative, there are two, complex (imaginary) roots. The discriminant is 0, there is exactly one real root. The discriminant is positive, there are two, real roots.Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.
write the expanded form of 4(3+4x-2), please help.
9. If H is the centroid of ABDF, DF = 50, CF = 42, and BH = 22, find each missing measure.
a) HE =
d) DE =
e) CH=
b) EF=
c) HF =
f) BE =
Answer:
HE=11
EF=25
HF=28
DE=25
CH=14
BE=33
Step-by-step explanation:
The measurements of the missing lengths are; HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33
What is the centroid of a triangle?The centroid is a point in a triangle where all the three medians of the triangle intersects.
Given that, H is the centroid of the triangle BDF, DF = 50, CF = 42, and BH = 22,
Here, BE, CF and DG are the medians of Δ BDF
We know that,
The centroid divides the medians into two parts always, ratio 2:1
And the medians divide their corresponding sides into two equal parts.
a) HE =
BH/HE = 2/1
Let HE = x, therefore, BH/HE = 22/x = 2/1
HE = 11
b) DE = DF/2 = 50/2 = 25
c) CH = (CF/3)x1 = 42/3 = 14
d) EF = DE = DF/2= 25
e) HF = (CF/3)x2 = 14x2 = 28
f) BE = HE+BH = 22+11 = 33
Hence, Each of the missing measures are HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33
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b. The cleaning company charged a total of $83 to clean Peter's house. How many hours did it take to
clean Peter's house?
Answer:
umm... the question is incomplete!!
Edith purchased a stove for $950. It depreciates about 0.7% each year. What is the value of the stove after six years?
Answer:
i can't figure out out srry
Step-by-step explanation:
it's really hard
Answer:
maybe d
Step-by-step explanation:
how many times does 32 go into 400
Answer:
3.4
Step-by-step explanation:
answer this if you want to be the brain list master
Answer:
3,240 / 9= 360\
360 boxes
Step-by-step explanation:
Answer:
360 boxes were used.
Step-by-step explanation:
A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.
a. Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents
Answer:
3 hair colorings and 4 hair cuts
Step-by-step explanation:
The time for haircut is 2 hours and for coloring is 6 hours, haircut needs to make a minimum amount of $150.
What is amount?Amount is the multiplication of total number of quantities and total price.
Amount= number of quantity×price.
Given that,
The charges of haircut= $15 and time taken for haircut is 30 minutes,
The charges of coloring= $30 and time taken for coloring is 2 hours.
To make minimum $150 profit in 8 hours
Let in a day he spends x hours for haircut, the 8-x hours will be spent for coloring.
2×x×15+1/2×(8-x)×30≤150
30x-15x+120≤150
15x≤30
x≤2
So, x=2 hours(4 haircut),
then time for coloring = 8-2 = 6 hours (3 hair color)
And amount =4×15+3×30=150
So the time for haircut is 2 hours and for coloring is 6 hours.
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givin: 3x<-9 choose the solution set
WILL MARK BRAINLIEST! Fill in the blanks. I genuinely need help so please only answer if you know, thank you!
Classify the following: 9G-7
Answer:
Expression
Step-by-step explanation:
its expression
4x- 2y = 8
2x + y =2
Answer:
x = 3/2 , y = -1
Step-by-step explanation:
I'm assuming that you are being asked to solve the system of equations for x and y.
given:
4x- 2y = 8 ---------------(1)
2x + y =2 -----------------(2)
We can solve this by elimination:
multiple (2) by 2, we get:
2(2x + y) =2(2)
4x + 2y = 4 ------------(3)
(1) + (3) , we get:
(4x- 2y) - (4x + 2y) = 8 + 4
8x = 12 (divide both sides by 8)
x = 12/8
x = 3/2 answer, substitute this into (2)
2(3/2) + y =2
3 + y = 2 (subtract 3 from both sides)
y = 2 - 3
y = -1 answer
If f(x)=4x+5 what is f(4)
Answer:
Step-by-step explanation:
f(4) = 4(4) + 5
f4= 16 + 5
f4= 21
f = 21/4
f= 5.25
the residents of a city voted on whether to raise property taxes. the ratio of yes votes to no votes was 7 to 4. if there were 9339 total votes, how many no votes where there?
9514 1404 393
Answer:
3396
Step-by-step explanation:
The ratio tells you that out of every 7+4 = 11 votes, 4 of them were 'no' votes. Then the number of no votes is ...
(4/11)(9339) = 3396 . . . no votes
Simplify.
-8 + 13
A. 5
B. -5
C. 21
Answer:
A.
Step-by-step explanation:
-8+13=5
hope this helps :3
if it did pls mark brainliest
Answer:
A. 5
Step-by-step explanation:
You can rewrite the equation as 13-8
Now that it is simpler you can solve it:
5
Hope this helps!