Answers
Step-by-step explanation:
\(a)
\\ \frac{a}{x - 1} - \frac{2}{x + 1} = \frac{4}{(x - 1)(x + 1)} \\ \\ \frac{a(x + 1) - 2(x - 1)}{(x - 1)(x + 1)} = \frac{4}{(x - 1)(x + 1)} \\ \\ a(x + 1) - 2x + 2 = 4 \\ \\ a(x + 1) = 4 + 2x - 2 \\ \\ a(x + 1) = 2x + 2 \\ \\ a (x + 1) = 2(x + 1) \\ \\ a= \frac{2(x + 1)}{(x + 1)} \\ \\ \huge \red{ \boxed{a = 2}}\)
Solve b part yourself in the same way.
Related Questions
Stephen opened a savings account with $100. He deposits $ 20 every time he mows a lawn during the summer. He wants at least $400 in his
account by the end of the summer Leten be the number of lawns Stephen mows.
which inequality can be used to determine the number of lawns Stephen needs to mow?
A 100 + 20 < 400
B 100n + 20 S 400
C 100+ 20n > 400
D. 100 + 200 2400
Answers
Answer:
c
Step-by-step explanation:
What percentage is 2/3 + 1/5?
Answers
Answer:
86.67%
Step-by-step explanation:
2/3 + 1/5
First, find the lowest common denominator
15
2x5 = 10
1 x 3 = 3
10 + 3 = 13
13/15 = 0.8667
As a percent that would be 86.67%
Percentage of 2/3 + 1/5 is 86.666%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given expression
\(\frac{2}{3}+\frac{1}{5}\)
= \(0.66666+\frac{1}{5}\)
= \(0.66666\times\frac{100}{100} +\frac{1}{5}\)
= \(\frac{0.66666\times100}{100}+\frac{1}{5}\)
= \(\frac{66.666}{100} +\frac{1}{5}\)
= \(66.666\% + \frac{1}{5}\)
= \(66.666\%+\frac{1}{5} \times\frac{20}{20}\)
= \(66.666\%+\frac{20}{100}\)
= \(66.666\%+20\%\)
= \(86.666\%\)
Hence, the percentage of 2/3 + 1/5 is 86.666%.
Find out more information about percentage here
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Given: 9y^0
A. Simplify the expression for y=3.
B. Construct Arguments Will the value of the given expression vary depending on y? Explain
Answers
Answer:
A. 9 x 3^0 = 9 x 1 = 9
B. the value doesnt vary depending on y as any number whose power is zero is always 1.
Because that would give the simplify expression
Please Help ASAP!!!
What is the correct expanded form and value of (One-fifth) Superscript 4?
One-fifth + one-fifth + one-fifth + one-fifth = StartFraction 4 Over 5 EndFraction
One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction
StartFraction 1 + 1 + 1 + 1 Over 5 times 4 EndFraction = StartFraction 4 Over 20 EndFraction
One-fifth times 4 = StartFraction 4 Over 5 EndFraction
Answers
Answer:
One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction
Step-by-step explanation:
1/5^4 = 1/5 * 1/5 * 1/5 *1/5 = 1/625
The expanded form of (One-fifth)⁴ is "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction," and its value is "StartFraction 1 Over 625 EndFraction."
The expanded form of (One-fifth)⁴ can be derived by multiplying (1/5) four times. Each multiplication represents multiplying by one-fifth, resulting in "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction." This can be further simplified as "StartFraction 1 Over 625 EndFraction" by multiplying the numerators and the denominators separately.
In mathematical terms, when we raise one-fifth to the power of 4, we are essentially multiplying one-fifth by itself four times. Thus, (One-fifth)⁴ is equal to "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction."
Evaluating this expression yields the value "StartFraction 1 Over 625 EndFraction" since multiplying the numerators (1 * 1 * 1 * 1) and the denominators (5 * 5 * 5 * 5) results in 1 and 625, respectively.
Mathematical representation: \(\frac{1}{5}^4= \frac{1}{5} * \frac{1}{5} * \frac{1}{5} * \frac{1}{5}\)
To learn more about expanded form,
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If xx and y vary directly and y is 21 when x is 7, find y when x is 5
Answers
Answer:
y = 15
Step-by-step explanation:
We need to solve for k
y = x
21 = 7k Divide both sides by 7 to solve for k
3 = k
y = xk
y = 5(3)
y = 15
Answer: y = 15
Step-by-step explanation:
What is the equation of this graphed line?
Answers
Answer: y=-9/8x+7
Step-by-step explanation:
Apparently Nobody is able to answer this question. You can search it up but I've tried that already, still no answer.
But anyways... The question is : 3x+1
Answers
Answer:
if it is odd then multiply it by 3 and add 1, and if it is even, divide it by 2. Then repeat this process as long as you can.
Step-by-step explanation:
hope dis helped:)
There are currently 6,210 fish in a lake. If the number of fish in the lake increased by 15 percent during the last year and 20 percent during the year before that, how many more fish are in the lake currently than in the last two years ago?
Answers
I’m pretty sure the answer should be 1,710 if not i’m sorry
Answer:
1710 fish
Step-by-step explanation:
Let the number of fish in the lake last year be 'x'
The equation becomes-
x + 15x/100=6210 (This is because 15% of x is added in x to become
6210... hope you understand)
x + 15x/100 = 6210
115x/100 = 6210
23x/20 = 6210
x = 6210 * 20/23
x = 270 * 20
x = 5400
Therefore- The number of fish last year = 5400
Now, let the number of fish in the lake 2 years ago be 'y'
The equation becomes-
y + 20y/100 = 5400 (Same logic as last time)
y + 20y/100 = 5400
120y/100 = 5400
24y/20 = 5400
6y/5 = 5400
y = 5400 * 5/6
y = 900 * 5
y = 4500
Therefore- Fish in the lake two years ago = 4500 fish
Difference between current and two years ago = 6210-4500
= 1710 fish
Hope you understood the answer and I hope it helps you :)
wht is the answer to this answer. what is a kilogram and milgram's
Answers
Answer:
a kilogram = 1000 grams
milgram = 0,001 grams
Answer:
um its Review the size of grams and kilograms and how to convert between the two. Then, try some practice problems.
Step-by-step explanation:
4.5 multiplied by x = 81. what represents x?
Answers
18 represents x
10x4.5=45
8x4.5=36
45+36=81
Answer is 18
IF YOU ANSWER CORRECTLY I WILL GIVE YOU BRAINLIEST THE TOPIC IS EXPLAIN INFERENCE
1. Jeremiah went to six different bakeries around his town and sampled one cupcake from each place regardless of how many different flavors they offered. Of the six cupcakes he sampled, he liked all of them.
Inference: Jeremiah will like most of the cupcakes from the six bakeries around his town.
Defend or challenge the inference with at least two complete sentences.
Answers
Answer: Defend
Step-by-step explanation: For one he said he liked all the cupcakes in the bottom sentence stating already that he liked all of them. Second he said he sampled one from each bakery regardless of the flavors stating if you thought about it you would know that he didn't care what flavor the cupcakes were he knew that they were going to be good either way.
Solve questions 1-8 I just need the answer in (x,y) form
Answers
2 (x= 9, y= 2)
3 (x= -7, y= -1)
4 (x= 1, y= 0)
5 (x= 2, y= 1/2)
6 (x= -4, y= 5)
7 (x= 1, y= -5)
8 (x= -4, y= 3)
Please help before I get grounded for a year. I’m sorry if for throwing this out at you.
Answers
Answer:
21
Step-by-step explanation:
42% of 50 is 21
50x2 is 100 and 42 divided by 2 is 21
answer is 21
hope this helps!!!!!!!!!!!!!!!!
Answer:
There were 21 gingerbread cookies.
Step-by-step explanation:
To find 42% of 50, change 42% to a decimal first.
42% means 42.% move the decimal two places to the left. You get .42
OR divide by 100.
42% means 42/100,
you still get a decimal to work with, .42
To find the answer, times 50 × .42
You get 21.
21 is 42% of 50.
There were 21 gingerbread cookies.
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Answers
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
8. The figure shows a triangle ABC where
ZABC = 35. H lies on BC such that the length
of HC is twice that of BH. Find ZACB.
Answers
Answer:
theres no choices ?
Step-by-step explanation:
Answer:
{{BC,35H}}
Step-by-step explanation:
The length of MN is 28 millimeters.
What is the length of M'N' after a dilation with a scale factor of 7/4
Answers
the answer should be 49mm
28*7 / 4 = 49
Answer:49mm
Step-by-step explanation:
4-5g>39
The answer???
Answers
Answer:g<-7
Step-by-step explanation:
4-5g>39
-4 from both side
-5g>35
divide -5 from both side
g<-7
if you divide the negative number the sign will switch <
Wat is the product of 8/9 and 2/7
Answers
Answer:
16/63
Step-by-step explanation:
Given problem,
→ (8/9) × (2/7)
Let's solve the problem,
→ (8/9) × (2/7)
→ (8 × 2)/(9 × 7)
→ 16/63
Hence, answer is 16/63.
Kayla stacked her 1-inch cubes to make this rectangular prism.
What is the volume of Kayla's prism?
A.) 45 in³
B.) 55 in³
C.) 75 in³
D.) I don't know.
Answers
Answer:
75 inches^3
Step-by-step explanation:
count units on each edge 5 units * 5 units * 3 units 5*5*3 is 75
(The attached image has additional info)
6: What category in the table shows the least portion?
7: Which is greater, the percent of 7th-graders or 8th-graders participating in other activities?
(Please show work!!)
Answers
Answer:
sorry i dont know...
Step-by-step explanation:
Use the simple interest formula to find the ending balance.
$4000 at 6.5% for 5 years.
Enter your answer in the box.
Answers
Answer: 13,000
Step-by-step explanation:
I = prt
I = (.65)($4000)(5)
I = 2600(5)
I = 13,000
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answers
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
You have to look at both x and y and it’s power. You have to look for the lowest power for x and y. For y as you can see that the lowest power is 2. As for x it can be either power of 3 or even 2. When you removed x^2 and y^2 from the equation. The inside parenthesis will be x^2-3xy. Just remember when you divide both x^2 and y^2, you subtract the power.
When you get the answer, please check the answer if it’s the same as the original. Meaning distribution both x^2 and y^2 to inside parenthesis. And for the power, you add them. This way you can double check and see if it’s the same.
cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide
Answers
Answer:
To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.
Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).
Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).
To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, find out how much stickers you can put on the long side:
12/3 = 4
Next, find out how much stickers you can put on the wide side:
8/2 = 4
Lastly, calculate them together:
4x4=16
So the answer is 16.
HELP PLEASE THANKS
Solve N = 3pg^2 - 2pv for v.
Answers
\(N=3pg^2-2pv\\\\N+2pv=3pg^2\\\\2pv=3pg^2-N\\\\v=\dfrac{3pg^2-N}{2p}\)
help?
-1/3(9-24x)= 2x +3
a x=-1
b x=3/10
c x=-1
d x=-3/10
Answers
Answer:
First, you have to distribute the 1/3. To do this, you can either multiply everything in the parentheses by 1/3 or you can divide it all by 3. I will use the division method, so 24x/3 is 8x and -9/3 is -3, so now the expres
please help me i will give brainliest to first person to anwser.
Answers
First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
Use the best-fit line below to predict the value of y when x = 7
Answers
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
(1+-1)8+7(1+-1) I can’t find answer to this one it was on my map test
Answers
Answer: 0
Step-by-step explanation:
PEMDAS
1. Parentheses First:
(0)8 + 7(0)
Multiply (anything multiplied by 0 is 0)
0 + 0
I need help on a b and function 2
I dont get it
Answers
Answer:
For A: The first function has a greater ROC
For B: The first function has a negative slope
Step-by-step explanation:
Explication for A:
We already know that the R.O.C. (slope) is 2 for the first function, so all we need to do is substitute the values in the table into the following formula: y2-y1/x2-x1
after substituting: (-3-(-6))/(0-(-1))
simplify 3/1=3, since the ROC is 3, the second equation has a greater ROC than the first
Explanation for B:
The first function described is f(x)=20-3.5x
This is because the y intercept is the starting point, or how much money she has in the gift card. She spends 3.5 dollars per week, so we add a variable to represent the number of weeks, and its negative since she is spending, not earning. We also know that the slope is negative since y is decreasing as x is increasing, on the table.
The second function described is c(m)=5x+10
This is because the equation represents the total cost of renting a calculator, so both terms are positive.
Mrs. Stevens is wanting to buy new border for her Math bulletin board in the hallway. The length of the board is 6.9 meters. The width is 4.3 meters. How much border does Mrs. Stevens need to buy?
A. 2.6 m
B. 11.2 m
C. 22.4 m
D. 44.6 m
Answers
Answer:
it b
Step-by-step explanation:
because 4.3+6.9 eguals 11.2