Answers
Answer:
[tex]\frac{4a-2}{2a+1}[/tex]
Step-by-step explanation:
Factorise the numerator and denominator
8a² - 2 ← factor out 2 from each term
= 2(4a² - 1) ← 4a² - 1 is a difference of squares
= 2(2a - 1)(2a + 1)
4a² + 4a + 1 ← is a perfect square
= (2a + 1)²
Thus
[tex]\frac{8a^2-2}{4a^2+4a+1}[/tex]
= [tex]\frac{2(2a-1)(2a+1)}{(2a+1)(2a+1)}[/tex] ← cancel (2a + 1) on numerator/ denominator
= [tex]\frac{2(2a-1)}{2a+1}[/tex]
= [tex]\frac{4a-2}{2a+1}[/tex]
Explanation: first factor out the expression. Second cancel out
Related Questions
The Walnut Cove Ruritan Club sells hot dogs and drinks from a concession stand at the annual 4th of July parade. Carl bought 4 hot dogs and 6 drinks and paid $23.80. Susan purchased 4 hot dogs and 2 drinks and was charged $15.40. What is the cost of 1 hot dog and what is the cost of 1 drink?
Answers
Let, cost of 1 hot dog and 1 drink is x and y respectively.
Carl bought 4 hot dogs and 6 drinks and paid $23.80.
4x + 6y = 23.80 ....1)
Susan purchased 4 hot dogs and 2 drinks and was charged $15.40.
4x + 2y = 15.40 ....2)
Subtracting equation 2 by 1, we get :
(4x + 6y) - (4x + 2y) = 23.80 - 15.40
4y = 8.4
y = $2.1
4x + 6×2.1 = 23.80
4x = 23.80 - 12.2
4x = 11.6
x = 2.9
Therefore, the cost of 1 hot dog and what is the cost of 1 drink is $2.9 and $2.1 respectively.
Hence, this is the required solution.
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Answers
Answer:
Compound: -2≤X<5
Conjunction: ≤ or <
Step-by-step explanation:
When the dot is filled it is a ≤ or ≥
When the dot isn't filled its a < or >
-4 is on the left and 5 is on the right
Somebody help me plssss
Answers
Answer:
The last one 4x4
Step-by-step explanation:
Answer:
last one, D.
Step-by-step explanation:
Graph a line that passes through the point (- 7,- 4 ) and have pending -2/3
Answers
Answer:
I think you are right!
Step-by-step explanation:
Solve 3(4x-1)=12x +7
Answers
A prism has a volume of 620 in.³ the length is 10 inches and the width is 2 inches what is the height of this prism?
Answers
Answer:
Volume= 620 inches3
Length= 10 inches
Width= 2 inches
Height=?
10×2×31
=620
The height is 31 inches
decimal equivalent 9 1/3
Answers
The decimal equivalent to 9 1/3 is
SBS: step multiply whole number 1:9 x 3=27 step add product 2: 27+1=28 step 3 divide: 28 ÷ 3= 9.333333
Final answer in decimal form: 9.33
Therefore, the answer is C
The equivalent from of [tex]9\frac{1}{3}[/tex] ⇒ 9.
The given mixed fraction is,
[tex]9\frac{1}{3}[/tex]
Now to convert it into decimal form
First of all convert it into simple fraction
So numerator of [tex]9\frac{1}{3}[/tex] is formed by multiplying 3 with 9 then add 1
and denominator remains same as 3
Therefore,
Simple fraction be
[tex]9\frac{1}{3}[/tex] ⇒ (9x3 + 1)/3
= 28/3
Now divide 28 by 3
we get,
9.333333
Here,
It is non terminating number
And 3 is repeating after decimal
therefore,
The decimal form of [tex]9\frac{1}{3}[/tex] ⇒ 9.[tex]\frac{}{3}[/tex]
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In the video game Stunt Pilot, players gain and lose points based on how well they perform tricks in their airplanes. Kirk had 33 points in the game before getting – 18 points for losing control of his plane during a stunt. What is Kirk's score now?
Answers
Answer: 15
Step-by-step explanation: Well first you have to minus 33-18=15
Graph x>-6 on a coordinate plane.
Answers
Find the area
10.4 in
6 in
6 in
6 in
Answers
Can someone help me with this I really need help
Answers
Answer:
B.) x > -1 and x ≤ 4
Step-by-step explanation:
Hope this helps!
30 is what percent of 125? Please help
Answers
Answer:
24%
Good Luck!!!
Answer:4.85
Step-by-step explanation:
Can someone please help me
Answers
Answer:
a. 8
Step-by-step explanation:
A restaurant coffee pot holds 3 gallons of coffee. The pot has been filled with 2 gallons of coffee. If the variable c stands for the amount of additional coffee the pot can hold, which of the following units could apply to that variable?
A. yards
B. pounds
C. gallons
D. bushels
Answers
C
Because your weight system is gallons in the rest of the question :)
Answer:
gallons
Step-by-step explanation:
20 POINTS AND BRAINLIEST
Two functions are shown.
What is the value of f(4) + g(3)?
f(x) = 64(0.5)*
g(x) = 20x + 12
Enter your response here:
Answers
Answer:
g(x) = 20x + 12
Step-by-step explanation:
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Ron mason is a laborer. He earns $15.40 per hour. How many hours per week must he work if he wants to earn approximately $450,00 per week?
Answers
Answer:
26 hours
Step-by-step explanation:
if if he works 26 hours every week he will make $450.40 a week
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8 fiction books
3 non-fiction books
4 historical drama books
Joe will randomly choose 1 book to read from the shelf. What is the probability that he will choose a non-fiction book?
a.0.8
b.0.267
c.0.2
d.0.533
Answers
Answer:
0.2 (C)
Step-by-step explanation:
8 + 3 + 4 = 15
3 divided by 15 equals 0.2.
3 represents non-fictions books and 15 represents total amount of books.
2. Lauren is thinking about spending all of her allowance money to buy a new bike. If she has $224
and she can only afford of the price of the bike, how much does the bike cost?
Answers
Answer:
$224
Step-by-step explanation:
The bike costs $224
From the expression of the problem, we know that she used all her money to buy the bike.
That means;
Allowance money = bike cost
Therefore, the cost of the bike is $224
The length of a rectangle is 11 less than 9 times the width. The perimeter of the rectangle is 18 inches
Answers
Length = 7 Width = 2
Step-by-step explanation:
L = Length
W = Width
L=9w-11
2L+2W=18
2(9W-11) + 2W = 18
18W - 22 +2W = 18
20W -22 = 18
20W = 40
W = 2
L = 9(2)-11
L=18-11
L=7
A fertilizer covers 3/4 square foot in 1/2 hour. how much square feet does the fertilizer cover per hour?
Answers
Answer:
1 1/2 square foot
Step-by-step explanation:
3/4 + 3/4 = 6/4
6/4= 1 2/4
1 2/4= 1 1/2
if triangle ocd ≅ triangle JAL, then which of the following statements are true?
Answers
Answer:
I III and IV
Step-by-step explanation:
According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Given :
Triangle OCD ≅ Triangle JAL
The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.
So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Therefore, the correct option is D).
For more information, refer to the link given below:
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How many gallons of water will be in the fish tank after 3 minutes? how can you explain your answer
Answers
The question is incomplete, the complete question is;
If in 0.5 min the tank gets 0.8 gallons of the water then
how many gallons will be in 1 min ?
how many gallons will be in 3 min?
and how long it takes for 40 gallons?
Answer:
1.6 gallons
4.8 gallons
25 mins
Step-by-step explanation:
This question has to do with proportion.
If it takes 0.5 mins for the tank to get 0.8 gallons
in 1 minute the tank will get 0.8 * 1/0.5 = 1.6 gallons
In 3 minutes the tank will get 3 * 1.6 gallons = 4.8 gallons
if it takes 1 min to get 1.6 gallons
it will take x mins to get 40 gallons
x = 1 * 40/1.6 = 25 mins
Raphael wants to join a game-of-the-month club. The first club costs $60 to
join and $8 per game. The second club costs $11 per game and has no fee to join.
Create an equation to find how many games would need to be purchased from each
club for the clubs to cost the same.
Answers
Answer:
1st club 8 games 2nd cub 1
PLEASE HELP WILL GIVE BRAINLIEST
Answers
Answer:
p(-1,5
Step-by-step explanation:
Is 9 4/9 greater than less than or equal to ✓144
Answers
Answer: less than
Step-by-step explanation:
Because the square root of 144 is 12 it would be greater than 9 4/9. So 9 4/9 is less than 12
What is the solution to the following equation?
2(3x - 7) + 18 = 10
Answers
We can use distributive property
2(3x-7)
6x-14+18= 10
6x+4= 10
6x= 6
X= 1
Hope this helps!
Can someone check my answers for my homework im not sure i did it right
Answers
Answer:
i think you did it right :)
Step-by-step explanation:
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Don't worry about anything you got it. Great work!
Open-end credit is A: a loan given for a short period of time that is not dependent on credit history. B: pledged to a company as security for a loan repayment. C: an amount of time during which a loan can be repaid without interest. D: an agreement with an institution on a certain amount that can be repeatedly borrowed.
Answers
Answer:
D
Step-by-step explanation:
Here we want to select which of the options best define open end credit.
When we talk of open end credit, we are referring to a loan system in which the borrower of the loan can payback and consistently borrow the loan from the lender.
In this case, what we are saying is that the borrower can payback a certain amount and still get an amount of money from the balance of the loan.
In simple case, it is a system of borrowing and loan repayment simultaneously
Which of the following cannot be true about a linear pair of angles?
Answers
A linear pair of angles cannot add up to anything other than 180 degrees.
They cannot be complementary because complementary means add up to 90 degrees.
Classify a triangle with side lengths of 9, 12, 17
A. Right
B. Acute
D. obtuse
Answers
Answer:
B.
Step-by-step explanation
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Side length 9, 12, 17 forms a obtuse angled triangle.
What is Pythagorean triplets?"Pythagorean triplets are combination of such three numbers which satisfy the Pythagoras theorem a² + b² = c²."
Formula used
Pythagoras triplet
c = hypotenuse
'a' and 'b' other two sides of a triangle
a² + b² = c² (Right angled triangle)
a² + b² ≤ c² (Obtuse angled triangle)
a² + b² ≥ c² (Acute angled triangle)
According to the question,
Given
Side length of a triangle = 9, 12, 17
Substitute the value in the formula of Pythagoras triplet we have,
a² = 81
b² =144
c² =289
c² > a² +b²
Therefore, triangle with side length 9, 12, 17 forms a obtuse angled triangle
Hence, Option(D) is the correct answer.
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