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
C. The King football team ordered 50 hats. The cost of shipping was
$6.50. If King spent $256, how much was each hat?
Answers
Write 3.01 repeating as a mixed number.
Answers
Answer:
3 1/100
Step-by-step explanation:
Place the decimal number over a power of ten.
A town has accumulated 4 inches of snow, and the snow depth is increasing by 6 inches every hour. A nearby town has accumulated 10 inches, and the depth is increasing by 3 inches every hour. In about how many hours will the snowfall of the towns be equal?
Answers
9514 1404 393
Answer:
2 hours
Step-by-step explanation:
The initial difference in depth is 10-4 = 6 inches. The difference in snowfall rates is 6-3 = 3 inches per hour.
At that rate, the difference in depth will be made up in ...
(6 in)/(3 in/h) = 2 h
In 2 hours the snowfall in the two towns will be equal.
_____
You could write equations for depth, then equate them.
d1 = 4 +6h
d2 = 10 +3h
d1 = d2 . . . . . . . . . . for some value of h the depths will be equal
4 +6h = 10 +3h
h(6 -3) = 10 -4 . . . . . subtract 3h+4 from both sides
h = 6/3 = 2
Snowfall will be equal in 2 hours.
will 20,40,30 form a right triangle
Answers
Answer:
Yes
Step-by-step explanation:
Because it is equal to 90
Answer:
accutally the answer is no i had the same thing
Step-by-step explanation:
6. What would a+c< 100 mean in this situation?|
Answers
Answer:
Sum of a and c is less than 100.
Step-by-step explanation:
^
Hey guys Vsauce here I am very dum and don't now what 9+10 equals can sum mega mind help a fellow dude out and give me the answer
Answers
Answer:
If you want the real answer, its 19.
If you want the meme answer, its 21.
lol
the answer is 19 also don't waste points you might need it
A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?
Answers
Answer:
Step-by-step explanation:
12 x 8 x 5 = 480/4= 120 minutes or 2 hours
Mrs. McGuffy is calculating a numerical analysis of the semester exam grades for students in her third period class. She entered the percentage correct on the exam for every student into a calculator and generated the following statistics. Which of these statements cannot be justified using statistics shown in these two calculator screen shots?
a) the range of the scores was 30%
b) the IQR was 8
c) the mean score was less than the median score?
d) the average score was 87%
Answers
Answer:
the answer is D
Step-by-step explanation:
the average score was 87%
Shanika is making a decorative tablecloth for her small circular table. The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.
Which design would give Shanika what she wants?
A. a circular piece of cloth with radius of 90 cm
B. a circular piece of cloth with radius of 110 cm
C. a circular piece of cloth with radius of 100 cm
D. a circular piece of cloth with radius of 130 cm
Answers
The answer is definatly NOT D. I think that the answer is A.
The design that should give Shanika what she wants is the radius of 90 cm.
Calculation of the design:Since The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.
So, the radius is
= 40 + 60 - 10
= 90 cm
Learn more about radius here: https://brainly.com/question/3708862
The total cost after tax to repair Deborah's computer is represented by 0.09(60h)+60h, where h represents the number of hours it takes to repair Deborah's computer. What part of the expression represents the amount of tax Deborah has to pay? Explain.
Answers
Answer:
0.09(60h)
Step-by-step explanation:
The part that represents the tax is 0.09.
This is because, we can rewrite the sum as;
Amount of tax + Total cost for the number of hours
Now, the amount of tax can only be a percentage of the total
We can write 0.09 as 9/100
This can be interpreted as 9% of the total amount
So therefore we can rewrite the amount as;
9% of 60h + 60h
So the part that represents the amount of tax Deborah has to pay is 0.09(60h)
help show work
assig 8
(a)solve the inequality
(b)graph the solution on the real number line.
(c)write the solution in interval notation.
29
30
31
32
33
Answers
Answer: see below
Step-by-step explanation:
29) -5x ≥ 30
÷ -5 ↓ ÷ -5
x ≤ -6
Graph: ←--------- ·
-6
Interval Notation: (-∞, 6]
30) -4x < -40
÷ -4 ↓ ÷ -4
x > 10
Graph: o---------→
10
Interval Notation: (10, ∞)
31) 2x - 5 ≥ -11
+5 +5
2x ≥ -6
÷ 2 ÷ 2
x ≥ -3
Graph: · ---------→
-3
Interval Notation: [-3, ∞)
32) 8 - 3x > 20
-8 -8
-3x > 12
÷ -3 ↓ ÷ -3
x < -4
Graph: ←---------o
-4
Interval Notation: (-∞, -4)
33) 4x - 11 < 7x + 4
-7x -7x
-3x - 11 < 4
+ 11 +11
-3x < 15
÷ -3 ↓ ÷ -3
x > -5
Graph: o---------→
-5
Interval Notation: (-5, ∞)
Which rule describes the transformation?
Answers
I think its (x,y-(-x,-y)
1. You decide to buy some new clothes. The subtotal comes to $123.79, but
you have a 15% off coupon. What is the total you will spend? *
Answers
Answer:
$105.22
Step-by-step explanation:
I should pay attention in class more smh
Answers
Answer:
I think the slope is unidentified.
Hope this Helps!
Juan's Garage charges $60 per hour plus an evulatation fee of $30. The function to represent the charges f(x)=60x+30, where x represents the number of hours the repairs take. Evaluate f(5.5). Please show you work if you'd would like brainliest!
Answers
Answer:
f(5.5) = 360Step-by-step explanation:
function; f(x)=60x+30
where x = 5.5 as a number of hours the repairs take.
find f(5.5)
plugin value of x=5.5 back into the equation:
f(x) = 60x + 30
f(5.5) = 60(5.5) + 30
f(5.5) = 330 + 30
f(5.5) = 360
Step-by-step explanation:
hope this will help you.
PLS HELP!! WILL REWARD AND GIVE OUT BRAINLIEST!
Answers
Answer:
So the correct answer would be x=7
The price of bronze has increased by 10% per year from 2000. In the year 2000, Harry bought a bronze medal for $120. Which of the following equations can be used to represent the price of the medal x years after 2000?
Answers
Answer:
$120/x
Step-by-step explanation:
Answer:
120(1.1)^x
Step-by-step explanation:
it is a 10% increase, and think of it like this, what is after the decimal is the percentage increase, if there is a 1 the percentage increases, if it is a 0 then it decreases
Plz helllllpppppp meeeeee
Answers
Answer: x = 25 mi
Step-by-step explanation:
Sides QO and TR are corresponding.
Sides QP and TS are corresponding.
Sides OP and RS are corresponding.
Create the proportion to solve for x:
5/x = 6/30
Cross multiply:
6x = 150
Divide both sides by 6:
x = 25 mi
Hope this helps!
PLEASE HELP!!
Choose yes or No to tell whether the expressions are equivalent.
(4^3)^3 and 4^3 • 4^3
(3^4)^4 and 3^8 • 3^8
6^4 • 3^4 and 18^8
4^3 • 5^3 and 20^ 3
Answers
Answer:
no
yes
no
yes
Step-by-step explanation:
Given the function f(x)=x^2 + 2x-5, find f(-4).
11
O 3
O-29
Answers
Answer:
3
Step-by-step explanation:
Plug in -4 as x in the function:
f(x) = x² + 2x - 5
f(-4) = (-4)² + 2(-4) - 5
Simplify:
f(-4) = 16 - 8 - 5
f(-4) = 3
So, f(-4) = 3
what is the sum of the two smallest multiples of 6 that are greater than 103
Answers
A scientist measures the change in the temperature of a chemical solution.
At the start of the experiment, the solution is at a temperature of -12.94°C.
The temperature changes by -1.9°C each hour.
What is the temperature of the solution after 4 hours?
Answers
Answer:
Since the temperature is -6 C after 3 hours when rounded to the nearest whole degree we have to do the following
Step-by-step explanation:
Temperatures= -14.96 and 2.9
Subtract to get the value=
Estimate the value to:
3+1=4
Thus, your answer is -7 C
Does this graph show a function?
Answers
Answer:
Yes it is a function.
Step-by-step explanation:
B is my answer.
Jordan already knew 2 appetizer recipes before starting culinary school, and he will learn 2 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks w and the number of appetizer recipes a. Write your answer as an equation with a first, followed by an equals sign
Answers
Answer:
w=2r
r= w/2
r- w/2 = 0
w -2r= 0
Step-by-step explanation:
Let w be the number of weeks and r be the number of recipes learnt . So he will learn 2 recipes each week .Equating gives
w=2r
when w= 1
w= 2(1) = 2
For 1st week 2 recipes are learned
when w= 2
w= 2( 2) = 4
For 2nd week 4 recipes are learned.
or
when r= 2
r= w/2
r =2/2 = 1 one recipe is learned in half of the week
r- w/2 = 0
or
w -2r= 0
PLEASE HELP!!! MATH FINAL
Answers
Answer:
He Won 26 Box trolls and 11 Pikachus
Step-by-step explanation:
You subtract 37-11 which would get you 26
Last question- please answer this!
Answers
Someone help ASAP!!!
Pleaseee
Answers
Answer: C
Step-by-step explanation:
A slide is when you slide it over and a flip is when you flip it around
the answer is C because it said slide than flip across
a−9=6 addition equation.
Answers
Answer:
15
Step-by-step explanation:
Answer: *A=15* is the answer
Step-by-step explanation:
Hope this helps!
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!
Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4):
(a) Reflection: in the y-axis (b) Translation (x,y) —> (x-5,y+7)
A. (4,7)
B. (-5,7)
C. (1,0)
D. (-4,7)
Answers
Answer:
093006570
Step-by-step explanation:
Rut ectjyvtjyhrjtjtj5j6
A movie club charges a one-time
membership fee of $30. It allows
members to purchase movies for $7
each. Another club does not charge
a membership fee and sells movies
for $12 each. How many movies
must a member purchase for the
total cost of the two clubs to be the
same? Write an equation, and solve
the equation to determine the
solution.
Answers
Answer:
Step-by-step explanation:
Club A charges $30 membership fee and charges $7 for each movie.
You can write this as :
A = 30 + 7m (where m = number of movies)
Club B charges no membership fee and it costs $12 for each movie.
B = 12m
If we want to find how many movies a member must purchase for the total cost of the two clubs to be the same, this means we are trying to solve for "m" (number of movies) when A = B.
30 + 7m = 12m
Now you can just subtract 7m from both sides.
30 = 5m
Divide both sides by 5 to find "m'.
m = 30/5 = 6
Therefore a member must purchase 6 movies