The expression which is equivalent to the difference of the given algebraic fraction is,
[tex]\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}[/tex]
What is the difference?Difference is the mathematical operation in which the one number is subtract from another number.
To find the difference of two fraction numbers, we find the least common factor of denominator and write the all numbers as one fraction.
The given expression in the problem is,
[tex]\dfrac{2x+5}{x^2-3x}-\dfrac{3x+5}{x^3-9x}-\dfrac{x+1}{x^2-9}[/tex]
Factorize the denominator of each term as,
[tex]\dfrac{2x+5}{x(x-3)}-\dfrac{3x+5}{x(x-3)(x+3)}-\dfrac{x+1}{(x-3)(x+3)}[/tex]
Here, the least common factor of the denominators is x(x-3)(x+3), therefore, the expression can be written as,
[tex]\dfrac{(x+3)(2x+5)-(3x+5)-(x)(x+1)}{x(x-3)(x+3)}\\\dfr\dfrac{2x^2+5x+6x+15-3x-5-x^2-x}{x(x-3)(x+3)}\\\dfr\dfrac{x^2+7x+10}{x(x-3)(x+3)}\\\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}[/tex]
Hence, the expression which is equivalent to the difference of the given algebraic fraction is,
[tex]\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}[/tex]
Learn more about the difference of two fractions here;
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16) The chorus needs to raise money to go on their annual trip. It will cost $2,000 to go. So far, they have raised
$800 selling their chocolate candy bars. If they decide to sell sandwiches at lunch for $3 each, how many
sandwiches will they need to sell to raise the remaining funds?
Answer:
400 sandwiches
Step-by-step explanation:
2000 - 800 = $1200 (still need this amount from selling sandwiches)
$1200/$3 per sandwich = 400 sandwiches
Your friend spent $7 in two days on lunch. He says that
he will need $21 for 6 days to spend on lunch. Is your
friend correct? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
Because he spent 3.50 in those two days and he will spend 3.50 in 6 days. 3.50×6= 21.
Factor
• 1/343 x3 - 1/125
• 0.001b3 - 8
- send help •-•'
Answer:
[1/7 x - 1/5][(1/49 x²)+(1/35 x)+(1/25)]
(0.1b - 2)[0.01b²+0.2b+4]
Step-by-step explanation:
a³-b³=(a-b)(a²+ab+b²)
So
1/343 x³ - 1/125
[(1/7)x]³ - [1/5]³
[1/7 x - 1/5][(1/7 x)²+(1/7 x)(1/5)+(1/5)²]
[1/7 x - 1/5][(1/49 x²)+(1/35 x)+(1/25)]
And
0.001b3 - 8
(0.1b)³-(2)³
(0.1b - 2)[(0.1b)²+(0.1b)(2)+2²]
(0.1b - 2)[0.01b²+0.2b+4]
Is 285 as a perfect square
Answer:
no
Step-by-step explanation:
the square root of 285 is not a whole number. 285 is not a perfect square.
Answer:
No , it is not a perfect square number of any numbers..
mark BRAINLIEST
Thank you ☺️☺️☺️
What is the value of 10 - 2(
4-5)?
Answer:
12
Step-by-step explanation:
you would need to use BODMAS to work this out
as a result you would work out the value in the brackets which would equal to -1 so the question would look like this: 10-2(-1)
next you would do the multiplication due to the fact it comes next in the order
so you would end up with 10+2 which would equal to 12
Hope this helps
Answer:
12
Step-by-step explanation:
First we do 4-5 because of Order of Operations. So we get -1
Then we do multiplication because of Order of Operations and we get -2*-1=2
So now we do 10+2 and we get 12.
You may be asking why I did -2*-1.
It honestly doesn't matter.
Let's say I did 2*-1. We get -2.
Then we do 10-(-2) and If you subtract a negative, it's just adding basically. So we can put it as 10+2 and we get 12.
(62-3) X (2 + 8) =
The 2 is little and a little over 6 so it’s not 62 it’s like 6 2
Answer:
330
Step-by-step explanation:
Answer:
330
Step-by-step explanation:
Greg drove 300 miles at a constant speed in 5. The speed limit was 70 miles per hour. Was his rate greater than the speed limit?
The average speed of Greg will be 60 miles per hour.
To answer this question, we need to calculate Greg's average speed during the trip.
We can use the formula:
Average Speed = Total Distance / Total Time
In this case, Greg drove 300 miles in 5 hours, so:
Average Speed = 300 miles / 5 hours = 60 miles per hour
Since Greg's average speed was 60 miles per hour, which is less than the speed limit of 70 miles per hour, his rate was not greater than the speed limit.
Learn more about inequalities here:
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Graph the inequality.
[tex]y \leqslant 2[/tex]
A recipe for orange water says, "Mix 3 teaspoons yellow water with 1 teaspoon red water." For this recipe, we might say: "The ratio of teaspoons of yellow water to teaspoons of red water is 3:1 ." Write a ratio for 2 batches of this recipe and explain how you know it is equivalent to 3:1.
Answer:
The ratio of 2 batches of recipe is 6:2. Which is equivalent to 3:1 because if we multiply the ratio with same number it would give us equivalent ratio.
Step-by-step explanation:
When mix 3 teaspoon of Yellow water with 1 teaspoon of red water, we get ratio as 3:1
If we use 2 batches of recipe, the ratio is multiplied twice.
That's ratio of yellow water to red water is 3*2 :1*2 , which gives 6:2
But, if we simplify the ratio, by dividing both by common factor, we would get 3:1
That's [tex]\frac{6}{2} :\frac{2}{2}[/tex] simplified to 3:1
2. Five pigs were weighed daily to regulate caloric
intake before the stock show. The weight
gain/loss for each pig after one week is shown in
the table below.
Pig
Porky
Gumball
Wilbur
Roscoe
Chance
Weight Changes
Weight Gain/Loss (lbs.)
0.17
-1.48
0.10
-1.409
0.07
Which list shows the values in the table from least
to greatest?
After school one night, I had to stop at the local office supply store and pick up a few items. I bought 2 packages of page dividers. They each cost $3.79. I bought one package of Post-It Tabs that cost $6.79. Finally, I bought a large binder for $11.99. Sales tax was 7.5% and I paid with a 50 dollar bill. How much change did I receive?
Answer:
$21.66
Step-by-step explanation:
Add up all of the costs
3.79 + 3.79 + 6.79 + 11.99 = 26.36
Then multiply by the sales tax
26.36 x 7.5% = 1.98
Add the total cost and the tax
26.36 + 1.98 = 28.34
Subtract 28.34 from 50
50 - 28.34 = 21.66
That is how much change you recieve after your purchase.
How to solve Y=10+2(x-4)
y=10+2(x-4)
Use the distributive property to multiply 2 by x-4.y=10+2x-8
Subtract 8 from 10 to get
y=2+2x
Step-by-step explanation:
I think this is right good luck
Henry predicted whether he got answers right or wrong in his 50 question exam. He identified the 36 questions he thought he got right. It turns out that Henry got 5 questions wrong that he thought he got correct and he only got 11 of the questions wrong he had predicted. What is the percentage accuracy he had with predicting his scores?
Answer:
84%
Step-by-step explanation:
Henry completed a total of 50 questions. From these 50 he predicted 36 were right and this means he also predicted that 14 were wrong (50-36 = 14). From these predictions 5 out of 36 from the ones that he predicted were right were actually wrong and 3 of the 14 questions (14-11 = 3) he predicted were wrong were actually right. Meaning in total he wrongly predicted 8 questions which means he predicted 42 correctly ...
42 / 50 = 0.84 = 84%
Therefore, Henry's prediction accuracy is 84%
Solve for x.
Зxy = W
Answer:
[tex]\huge\boxed{x=\frac{W}{3y}}[/tex]
Step-by-step explanation:
If we have the equation [tex]3xy=W[/tex] and we want to solve for x, our goal is to isolate x one one side of the equation.
The question we have to ask ourself is ”What’s stopping x from being isolated?”
That would be the 3 and the y.
Since we’re multiplying x by the 3 and the y, we can divide both sides by the 3 and the y to get x isolated.
[tex]3xy \div 3y = w \div 3y[/tex]
[tex]x = \frac{W}{3y}[/tex]
Hope this helped!
Which equation represents f(x)? f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1 f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1 f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1 f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1
Answer:
A.
Step-by-step explanation:
The equation that represents function f(x) is (a) [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]
The original function is given as:
[tex]y = \sqrt[3]{x}[/tex]
First, the function is translated 6 units left.
The rule of this translation is:
[tex](x,y) \to (x +6,y)[/tex]
So, we have:
[tex]y = \sqrt[3]{x + 6}[/tex]
Next, the function is translated 1 unit up.
The rule of this translation is:
[tex](x,y) \to (x,y+1)[/tex]
So, we have:
[tex]y = \sqrt[3]{x + 6} + 1[/tex]
Express y as a function of x
[tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]
Hence, the equation that represents f(x) is [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]
Read more about translation at:
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8 less then a number n is -13
Answer:
equation: 8-n=13
answer: n = 21
Step-by-step explanation:
What is Three-fourths divided by one-sixth? A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 6 boxes containing one-sixth. Under the 6 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 3 4 4 and StartFraction 1 Over 12 EndFraction 4 and one-half
Answer:
4 and one-half
Step-by-step explanation:
Given the expression (3/4)÷(1/6), we are to simplify it. See the workings below;
(3/4)÷(1/6)
= 3/4 × 6/1
= (3×6)/4
= 18/4
= 9/2
Write as a mixed fraction
= 4 1/2
Hence the correct answer is 4 and one-half
Answer:
D
Step-by-step explanation:
Max Quimby picks Raspberries for his grandmother every Tuesday during 2 points
the summer. She pays him $0.75 per quart. If he were able to pick 93
quarts how much he be paid?
Answer:
Would be paid $69.75
Step-by-step explanation:
Since he is paid $0.75 per quart, and he has picked up 93 quarts, you would multiply 0.75 by 93. Which would give you $69.75.
Riley bought a plant and planted it in a pot near a window in her house. The
initial height of the plant was 6 inches and it grew at a rate of 2 inches per
month. Write an equation for H, in terms of t, representing the height, in
inches, of the plant t months after Riley bought the plant.
Answer:
6+2t=h
Step-by-step explanation:
Answer:
H = 6 + 2t
Step-by-step explanation:
H = your solution
6 = initial height of the plant
+ = the height of the plant grows each month
2 = the rate at which the plants grows per month
t = the number of recorded months the plant will grow for
Hope this Helps! :)
-SGO
In the relation f(x) = 2x - 15, what is the value of x if f(x) = 39
A. 27
B. 7
C. 12
D. 32
A survey asked 200 people which sports they play regularly. It revealed that
30 played tennis,
25 played golf,
40 played softball,
10 played tennis and golf,
20 played tennis and softball,
15 played golf and softball,
and 8 played all three sports.
How many of those surveyed played golf or softball?
Answer:
15
Step-by-step explanation:
A 6 foot tall man makes a shadow that is 3 1/2 feet long. How tall is a building that makes a 14 7/8 foot shadow?
A) 52.06 feet
B) 8.68 feet
C) 25.5 feet
D) 1.41 feet
given: y is the midpoint of XZ
prove: XY 1/2XZ
Given:
Y is the midpoint of XZ.
To prove:
[tex]XY=\dfrac{1}{2}XZ[/tex]
Proof:
It is given that Y is the midpoint of XZ. It means Y divides the line segment XZ in two equal parts XY and YZ.
[tex]XY=YZ[/tex] ...(i)
Point Y lines on the segment XZ, so by segment addition theorem, we get
[tex]XY+YZ=XZ[/tex]
[tex]XY+XY=XZ[/tex] [tex][Using (i)][/tex]
[tex]2XY=XZ[/tex]
Divide both sides by 2.
[tex]XY=\dfrac{1}{2}XZ[/tex]
Hence proved.
Help me o my I think I’m going to cry so please help
Answer:
The final answer in the most simplest form is 3/32
Step-by-step explanation:
3/8(3/4+5/6)-1/2
3/8( 38/24)-1/2
114/192-1/2=36/184
Divide by 12 for the 36 and 184
the final answer should be 3/32
Please help me!!! Thank you so much
Step-by-step explanation:
[tex]\frac{(x + 2)}{4} = - 2 \\[/tex]
multiply everything by 4
[tex]x + 2= - 2 \times 4 \\ x + 2 = - 8[/tex]
subtract 2
[tex]x = - 8 - 2 \\ x = - 10[/tex]
the answer is -10
Three members of a teen hiking group hiked 3 5 of the entire Appalachian trail. The hikers took turns carrying a backpack of supplies. If each teen carried the backpack the same distance, what part of the total distance did each hiker carry the backpack? In this problem, the numerator is the same number as the . So the answer will be a . Each hiker carried the backpack for of the total trail distance.
Answer:
divisor,unit fraction,1/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Shona cycles at an average speed of 8km/h. How far has she travelled if she cycles for 4 hours
Answer:
32km
Step-by-step explanation:
A bag contains 56 marbles: 7 red, 8 green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
А. 1/5
B. 1/6
C. 1/7
D. 1/8
Answer:
D
Step-by-step explanation:
1/8
Answer: D
Step-by-step explanation:
2.
Jack and Jill went to Taco Bell. Jack bought three tacos and two burritos
and paid $5.40. Jill bought two tacos and one burrito and paid $3.10.
What is the individual cost of a taco? How much does a burrito cost?
(How do I write my two equations for this?? Pls and thank you!)
answer:
x = 0.80
y = 1.50
step-by-step explanation:
x = cost of tacos
y = cost of burritos
both equations:
3x + 2y = 5.40
2x + 1y = 3.10
^
turn this | into this |
v
y = 3.10 - 2x
then add it to the equation :
3x + 2 [ 3.10 - 2x ] = 5.40
3x + 6.2 - 4x = 5.40
-1x = - 0.8
x= 0.80
then add x = 0.80 to the equations to get :
3 [ 0.80 ] + 2y = 5.40
2.4 + 2y = 5.40
2y = 3
y = 1.5
What is the square root of -36
Answer:6 i
Step-by-step explanation:
hope i help u have a great day
Answer:
i don't think you can square root a negative number