Answer:
2 3 4 1
Step-by-step explanation:
Solve for x
4/x-3 + 2/x^2-9 = 1/x+3
4/(x-3) + 2/(x²-9) = 1/(x+3)
4/(x-3) + 2/(x+3)(x-3) = 1/(x+3)
(4(x+3)+2)/(x+3)(x-3) = 1/(x+3)
(4x+12+2)/(x-3) = 1
4x +14 = x - 3
4x - x = -14-3
3x = -17
x = -17/3
The solution of the given equation is the value of variable x is -17/3.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question
⇒ 4/(x-3) + 2/(x²-9) = 1/(x+3)
⇒ 4/(x-3) + 2/(x+3)(x-3) = 1/(x+3)
⇒ (4(x+3)+2)/(x+3)(x-3) = 1/(x+3)
⇒ (4x+12+2)/(x-3) = 1
⇒ 4x +14 = x - 3
⇒ 4x - x = -14-3
Apply the subtraction operation,
⇒ 3x = -17
Divided 3 into both sides of the equation,
⇒ x = -17/3
Therefore, the solution of the given equation is the value of variable x is -17/3.
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HELP I ONLY HAVE 5 MIN TO TURN THIS IN !!!!!!!!!!!!!!!!!!!!!
Answer:
1.3d-2d =-17-8
1d=25
d=25/1
d=25
2.2n-5n=-10+7
-3n=-3
N= -3/-3
N=1
3.p+6p=13+15
7p=28
p=28/7
p=4
4. 3(y+7)
3y+21
2y+3=3y+21
2y-3y=21-3
-1y=18
y=18/-1
y=-18
simplify 4√72 please.
Answer:
1/18?
Step-by-step explanation:
Answer:
The exact form would be: 12√3
In decimal form it would be: 20.78460969
A membership costs for $40 for each month.
The cost of the membership for 12 months will be $
Solve the inequality of x-5>6. Tell if the circle is open or closed and which direction you would shade.
Answer:
Move all terms not containing
x to the right side of the inequality.
Step-by-step explanation:
inequality form: x>11
interval:(11,infinity)
Answer:
x > 11
when putting this inequality on a number line, the circle would be opened, and the arrow would go to the right,
when graphing this inequality, it would have a dashed line, and you would shade the right side.
I hope this helps :)
Step-by-step explanation:
9 x − 3 1/2 PLSS HELP I DO NOT UNDERSTAND
Step-by-step explanation:
9 times - 31 = - 279
-279 /2 = - 139.5
x + 4y = -8
5x - 4y = -16
Answer: for the 2 one x= 4 /5y + -16/5
for the first one x=−4y−8
Are they 2 sperate questions?
If yes here
1. x + 4y = -8
4y=−8
Step 1: Add -4y to both sides.
x+4y+−4y=−8+−4y
x=−4y−8
Answer:
x=−4y−8
2. 5x - 4y = -16
5x−4y=−16
Step 1: Add 4y to both sides.
5x−4y+4y=−16+4y
5x=4y−16
Step 2: Divide both sides by 5.
5x = 4y- 16
5 5
5 x/4 = 5y + -16
5
x= 4 /5y + -16/5
Which of the sets of ordered pairs represents a function? (1 point)
A = {(2,7), (1,-5), (7, 2), (2, -9)}
B = {(5,3), (-2,-9), (-3, 8), (9,3)}
a.
Only A
b.
Only B
C.
Both A and B
d.
Neither A nor B
Answer:
Only B
Step-by-step explanation:
A has 2 pairs with the x as the number 2, so they are not functions.
B has all independent pairs with their own numbers
So only B is the correct answer.
9y= 5/7
solve as a fraction
Answer:
y=5/63
Step-by-step explanation:
Whiskers the cat weighs 2 2/3 kg. Piglio weighs 4 kg. For each question, write a multiplication and a division equation, decide whether the answer is greater or less than 1, and then answer the question.
How many times as heavy as Piglio is Whiskers?
[ Select ]
How many times as heavy as Whiskers is Piglio?
[ Select ]
Answer:
a. 1/2
b. 2
Step-by-step explanation:
Whiskers' weight is 2 and Piglio's weight is 4. For getting the first question we need to see what percentage of Piglio's weight is Whiskers' weight. Lets say that Piglio's is 100%, so the following ratio must be true:
2/4 = x/100
The ratio between 2 and 4, the weights, must be equal to the ratio between the relative percentages. So, x is, multiplying both sides by 100:
200/4 = x
50 = x
So, x, that is the relative weight of Whiskers relative to Piglio is 50, this is, Whiskers is 50%, or 1/2, times as heavy as Piglio.
With it we get the answer for the second, that is easier. How many times as heavy as Whiskers is Piglio? Well, we can do the same that before:
4/2 = y/100
Now we use Whiskers weight as reference as we want to campare Piglio to Whiskers. So y is the weight of Piglio, and its ratio to Whiskers must fit the relation 4/2. Multiplying both sides by 100:
200 = y
So, Pilgio is 200%, or 2 times, as heavy as whiskers.
i hoped this helped.
Answer:
Step-by-step explanation: Piglio = p Whiskers = w
P = x times W (multiplication equation) W = P/x (division equation)
4 = x times 2 2/3
4 = x times 8/3 answer greater than 1
4 = x* 8/3
find for x
x = 4 divided by 8/3
= 12/8
= 1 1/2
answer Piglio is 1 1/2 times heavier than Whiskers
Whiskers is x times P answer will be less than 1
W= x times P Multiplication equation
2 2/3 = x times 4
8/3 = 4x (divide both sides by 4 to isolate the variable)
8/3 divided by 4 = 8/12
answer Whiskers is 8/12 or 2/3 as big a Piglio
A model car is constructed with a scale of 1 : 15. If the actual car is 12 feet long, which proportion represents the lenght x of the model car?
Answer:
0.8 feet
Step-by-step explanation:
1:15
x:12
So to find 1 unit,
x= 12÷15
=0.8
The figure is made up of 2 cones and a cylinder. The cones and cylinder have a 4 cm diameter. What is the exact volume of this figure? 5πcm³ 12πcm³ 20πcm³ 36πcm³ A 3 centimeter high cylinder with two 3 centimeter high cones on each end that have 4 centimeter diameters
Answer:
the answer is 20 pi which is the third one
Woodhill Elementary School’s 3rd and 4th-grade classes are planning a joint field trip. There is a total of 464 students in these two grades and only 45 seats per bus. How many buses will be needed to fit all the students? Think carefully about your answer.
Step-by-step explanation:
i say you would multiply or add
Alex had 5/12 of a pound of blueberries. His friend Lucia eats
2/5 of the blueberries. How many pounds of blueberries did
Lucia eat?
Simplify your answer and write it as a proper fraction or as a
whole or mixed number.
___ pounds
Answer:
Lucia ate 24/60 pounds which is simplified to 2/5
Step-by-step explanation:
so in order to find out how much she ate you have to find the common denominator between the two fraction and that was 60.So when you changed 2/5 you got 24/60 which is 2/5 simplified.
Lucie eats 1/6 pound of blueberries.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Alex had 5/12 of a pound of blueberries.
His friend Lucia eats 2/5 of the blueberries.
So, Lucie eats
= 2/5 of 5/12
= 2/5 x 5/12
= 2/12
= 1/6 pound
Hence, Lucie eats 1/6 pound.
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x + 4y > 8
What is the y-intercept
Answer:
the y-intercept is (0,2)
I hope I could help :)
Step-by-step explanation:
In the student council election, Davina received 50 votes, Binh received 40 votes and Eden received 80 votes. What is the ratio of Binh’s votes to Davina’s votes in simplest form?
A
5 to 4
B
4 to 5
C
1 to 2
D
4 to 17
Answer:
4:5
Step-by-step explanation:
Binh's = 40
Davina's = 50
40:50 = 4:5
i have four and one half squares and i want to divide them by one third. how many pieces would i have
A. 15
B. 13 1/2
C.13
D.5
Select the correct answer.
Lucian and Blake are taking their bikes out to a nature trail in the woods. They want to be out for no more than 6 hours, and they want to travel at
least 40 miles between walking and biking. On average, they walk at a rate of 3 miles/hour and bike at a rate of 12 miles/hour.
Which graph represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals?
Answer:
here's the pictures to the question, just comment the answer don't mind the c bubble being filled.
Step-by-step explanation:
A system of inequality is the system in which the set of more than two in inequalities in one or more variables.
The graph which represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals is attached below.
What is system of inequality?A system of inequality is the system in which the set of more than two in inequalities in one or more variables.
Given information-
Total distance they want to travel is equal to or more than 40 miles.
Total hours spend by the Lucian and Blake is not more than the 6 hours.
On average, they walk at a rate of 3 miles/hour and bike at a rate of 12 miles/hour.
Suppose they walk [tex]x[/tex] hours and bike [tex]y[/tex] hours.
As total distance they want to travel is equal to or more than 40 miles and they walk at a rate of 3 miles/hour and bike at the rate of 12 miles/hours.. Thus,
[tex]3x+12y\geq 40[/tex]
Total hours spend by the Lucian and Blake is not more than the 6 hours. Thus,
[tex]x+y\leq 6[/tex]
The graph plotted using the inequality equation obtained is attached below.
Hence, The graph which represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals is attached below.
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There is approximately .62 miles in 1.0 kilometers.if you were traveling 70 km per hour,about how fast would you be traveling in miles per hour
Answer:
70km=43.5mph
Step-by-step explanation:
Please gives me Brainlest, hope it help!
what is cos 60°? (ap3x)
Answer: 1/2
Step-by-step explanation:
Answer:
1/2 or .5
Step-by-step explanation:
cos(60) = .5
*Calculator must be in degree mode*
How many titles 250mm square will be needed to cover s kitchen floor of length 3m and breath 2.5m . The answer should be in the unit metre square
Answer:
30,000 tiles
Step-by-step explanation:
Area of tile = 250mm^2 = 0.25m^2
Total area of kitchen = 3*2.5 = 7.5m^2
No of tiles = 7.5/0.25 = 30,000 tiles
Twelve books cost $59.88 and 21 books cost $104.79. Is there is a constant of proportionality between these purchases?
the answer to your question is $4.99
What is the slope of w=1.5t+10
Answer:
The slope is 1.5
Step-by-step explanation:
Slope is the coefficient before the variable. In this case our variable is t, so, that means the thing that is multiplying it (coefficient) is the slope. This means the slope is 1.5
Find the zeros of the quadratic function
What is the degree of this polynomial?
2x4 - 3x5 + x
Answer: Polynomial Degree: 5
Leading Term: -3x to the 5th power
Leading Coefficient: -3
The polynomial degree is 5
Step-by-step explanation:
A polynomial is an expression that has more than two algebraic terms.
The degree of a polynomial is the value of the highest power in the given polynomial.
The degree of the polynomial 2[tex]x^{4}[/tex] - 3[tex]x^{5}[/tex] + x is 5.
What is a degree of a polynomial?A polynomial is an expression that has more than two algebraic terms.
The degree of a polynomial is the value of the highest power in the given polynomial.
Example:
x³ + 2x² + 4x + 3 is a polynomial.
x³ + 5x² + 8x + 3 is a polynomial.
The degree is 3.
We have,
2[tex]x^{4}[/tex] - 3[tex]x^{5}[/tex] + x
This is a polynomial since it has more than two algebraic terms.
The highest power of the algebraic terms given is 5.
[tex]x^{4}[/tex], [tex]x^{5}[/tex], and x are the algebraic terms in the given polynomial.
Thus,
The degree of the polynomial 2[tex]x^{4}[/tex] - 3[tex]x^{5}[/tex] + x is 5.
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1 1/2
1
Emma and her 3 friends were thirsty, so she shared
2
gallon of lemonade equally among 4 people. How
much lemonade did each person get?
1
-4
2
Answer: 64 ounces each
Step-by-step explanation:
1 gallon = 128 ounces
128 ounces x 2 gallons = 256 ounces
256/4 = 64 ounces
OR
Each friend got 1/2 gallon each. If there are 2 gallons then there would be 4 'halves'. 2 halves per gallon and there are 2 gallons.
(I am not sure what the answer choices are.)
Answer:
1/8 got it right on edg
Have a good day :)))
Step-by-step explanation:
Will mark branniest if gotten right
Answer:
i think it is 34
Step-by-step explanation:
both triangles are the same one has 84 and 36 so he other has 86 and 34 then they are = hope this helps.
Helpppp please I don’t understand
Answer: what are the options when you click the box
Step-by-step explanation:
A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time, in seconds, and y is height, in feet. Write a quadratic regression equation for this set of data, rounding all coefficients . Using this equation, find the height, , at a time of 12.1 seconds.
Time in Seconds (x) Height in Feet (y)
0.5 121
1.4 321
2.2 467
2.8 573
3.3 649
Answer:
The height at time of 12.1 seconds is approximately 729.2562 feet
Step-by-step explanation:
The general form of the quadratic regression equation is y = A + Bx + Cx²
The quadratic regression formula is given as follows;
[tex]B = \dfrac{S_{xy}S_{x'x'}-S_{x'y}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}[/tex]
[tex]C = \dfrac{S_{x'y}S_{xx}-S_{xy}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}[/tex]
[tex]A = \bar y - B \bar x - C \bar {x^2}[/tex]
[tex]S_{xx} = \Sigma (x_i - \bar x)^2[/tex]
[tex]S_{xy} = \Sigma (x_i - \bar x)(y_i - \bar y)[/tex]
[tex]S_{xx'} = \Sigma (x_i - \bar x)(x^2_i - \bar {x^2})[/tex]
[tex]S_{x'x'} = \Sigma (x^2_i - \bar {x^2})^2[/tex]
[tex]S_{x'y} = \Sigma (x^2_i - \bar {x^2})(y_i - \bar {y})[/tex]
Solving using an online quadratic regression calculator, gives;
A = 2.5643259
B = 246.6374865
C = -15.41986006
Substituting gives;
y = 2.5643259 + 246.6374865·x -15.41986006·x²
When time, x = 12.1, we have;
y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet
The height at time of 12.1 seconds ≈ 729.2562 feet.
Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (x) and the number of lawns he mows (y) to determine how to earn at least $300. Which type of boundary line should he use in his graph?
Answer:
He wants to win $300.
he mows the lawn y times, and he works x hours in his part time job,
Then we will have the equation:
y*$9 = amount that he wins by mowing the lawn
x*$7.25 = amount that he wins in his part time job.
Adding those, we must get $300.
y*$9 + x*$7.25 = $300.
We can isolate y and get
y = ($300 - x*$7.25)/$9 = (300/9) + x*(7.25/9)
This is the boundary line that he should use in the graph.
now, with if he works x = n hours, he can input that in this equation and find the number of times that he must mow the lawn in order to reach to the desired $300.
The graph of the line is below.
Any point in that line (in the first quadrant) is a possible way for Jacob to make the $300
Outside of the first quadrant this equation does not work, because it has negative values of y or x, and we can not have things like "negative hours of work", so we only look at the first quadrant.