Answer:
(x + 5)(x + 2) / (x³ - 9x)
Step-by-step explanation:
We need to find a common denominator.
factor each denominator
x² - 3x = x(x - 3)
x³ - 9x = x(x² - 9) = x(x + 3)(x - 3)
x² - 9 = (x + 3)(x - 3)
As the factors of the first and third denominators are subsets of the second, the second is the LCD. This immediately eliminates the last two options as possible solutions.
Now we multiply each term by the missing factor over itself (1)
(2x + 5)(x + 3) - (3x + 5) - (x + 1)(x)]
(x² - 3x)(x + 3) (x³ - 9x) (x² - 9)(x)
[(2x² + 11x + 15) - (3x + 5) - (x² + x)] / (x³ - 9x)
[2x² + 11x + 15 - 3x - 5 - x² - x] / (x³ - 9x)
(x² + 7x + 10) / (x³ - 9x)
(x + 5)(x + 2) / (x³ - 9x)
Someone gotta help me
Answer:
Decimal -12.25... Between -13 and -12...
Step-by-step explanation:
Here is what you need to do... Follow my directions exactly.
1) Label the left line -13 and label the right line -12...
2) On the first bullet write Between -13 and -12.
3) Decimal estimate ~ -12.25
4) Put your point towards the right line (which you labeled -12), but do not put it all the way on the line, you need to have it in-between the middle and the point labeled '-12'...
I would appreciate 5 stars and Brainliest answer!
If f(x) = x³ - 2, find f(3).
Answer:
25
Step-by-step explanation:
First you have to understand what f(3) means.
f(x) = x^3 - 2
f(3) means that wherever you see and x, you put in a 3.
f(3) = 3^3 - 2
f(3) = 3*3*3 - 2
f(3) = 27 - 2
f(3) = 25
. Describe a process you would use to create the perpendicular bisector to a segment AB using
only an unmarked straightedge and an unmarked compass.
WILL MARK BRAINIEST!!!
The perpendicular bisector on a line segment AB is in the attached image.
Given:
Segment ABTo Construct:
The perpendicular bisector to segment AB.Solution:
A segment is a line with two ends with a specific length.
A perpendicular bisector is a line intersecting the other line segment into two equal lengtsh at an angle of 90 degrees.
Steps of construction:
With help of unmarked straightedge draw segment,AB.Open the compass more than half of the length of the AB segment and from point A, draw an arc above and below AB.Now, with that same compass from B draw arcs cutting the previous arcs made above and below the AB label them C and D.Draw a straight line from C to D which will be the perpendiular bisector of segemnt AB.The perpendicular bisector to a segment AB is in the image attached.
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Answer:
Step-by-step explanation:
To create a perpendicular bisector, you need a compass, a straightedge, and a pencil. As well as the line segment AB drew down.
1> You start by opening the compass and stretching it to a width greater than half the length of AB.
2> Then you simply place one point of the compass on the line segments A. From here, you move the compass and draw arcs above and below the line AB.
3> Without moving the compass measure, remove it from point A and place it onto point B. You basically repeat step 2 by drawing arcs above and below the line again.
4> If you've done it right, the arcs should be in the middle, X and Y, and using a straightedge/ruler you draw a line that goes vertically through where they connect.
and that should be your perpendicular bisector using segment AB.
Please help it’s due today
Mark brainliest!!!
1.47-1.56
Answer:
0.09
Step-by-step explanation:
Ann has several sources of income. Which would not be considered earned income?
O 3% commission on all sales
O $800,00 per month salary
$2500.00 she earned developing websites in her spare time
O $300,00 per month child support
Evaluate the expression -125 1/3
Answer:
Exact form: - 125/3
Decimal form: - 41.6
Mixed number form: - 41 ⅔
I hope I've helped
Solve the inequality for u. 55 > 4u + 15 Simplify your answer as much as possible.
Step-by-step explanation:
55 > 4u + 15
40 > 4u
10 > u
so, this is true for all u < 10
Solve the following inequality: |x – 4|> 6
Answer:
x>10 or x< -2
Step-by-step explanation:
There are two solutions, one positive and one negative, remembering to flip the inequality for the negative
x-4 >6 or x-4 < -6
Add 4 to each side
x-4+4 > 6+4 or x-4+4 < -6+4
x>10 or x< -2
Two less than the product of 3 and a number is equal to 6
Answer:
8/3
Step-by-step explanation:
Let x represent the number.
Create an equation to represent the situation, and solve for x:
3x - 2 = 6
3x = 8
x = 8/3
So, the number is 8/3.
1. An amusement park gives away gifts to celebrate its grand opening. Every 2nd visitor will receive a
sticker, every 5th visitor will receive a hat, every 8th visitor will receive a T-shirt, and every 50th visitor
receive a ticket to use on a return visit. How often will a visitor receive all four gifts?
Answer:
Every 200 visitors, the visitor will receive all 4 gifts.
Step-by-step explanation:
With the given numbers, the lowest common number would be 200.
Every 200 visitors will receive all four gifts.
Here,
An amusement park gives away gifts to celebrate its grand opening.
Every 2nd visitor will receive a sticker, every 5th visitor will receive a hat, every 8th visitor will receive a T-shirt, and every 50th visitor receive a ticket to use on a return visit.
What is LCM?
The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set.
Now,
Lowest common multiple of 2, 5, 8, 50 is 200.
Hence, with the given numbers, the lowest common number would be 200.
Therefore, Every 200 visitors will receive all four gifts.
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The area of a rectangle is 52 in.² if the length is two times the width find the dimensions of the rectangle round off your answers to the nearest hundredth
Answer:
L = 10.20
w = 5.51 Do the doubling before the rounding. The zero is needed in the length.
Step-by-step explanation:
Area = 52 in^2
Area = L * w
L = 2*w
Area = 2w * w = 52
2w^2 = 52 Divide by 2
w^2 = 26 Take the square root of both sides
sqrt(w^2) = sqrt(26)
w = 5.5099
L = 10.198
for each value of determine whether it is a solution to 2x - 7 = -23
Answer:
x = -8
Step-by-step explanation:
-23 + 7 = -16
-16 ÷ 2 = -8
2 × -8 =-16 - 7 = -23
Write the fraction 3/4 as an equivalent fraction with the given denominator 12
Answer:
9/12
Step-by-step explanation:
4 times 3 is 12, so 3 times 3: will equal 9
help plsssssssssssss
Answer:
D [tex]\sqrt{43}[/tex] is the right answer
Step-by-step explanation:
I. If Number is devided by 4 or 25%
25% + 25% is 50%
50% = [tex]\frac{50}{100}[/tex] is 0.5
II. When 6 + 0.5 = 6.5
Use calculator the nearlest value is [tex]\sqrt{43}[/tex]
[tex]\sqrt{43}[/tex] = 6.557
So we'll pick D.choice
Hope that help :D
Write a inequality please help.
a number is at least -43
Answer:
x≥ -43
Step-by-step explanation:
at least means greater than or equal to
Let x be the unknown number
x≥ -43
which property is illustrated by the following ?
if 2 (x+y) = z , then 2x +2y = z
Step-by-step explanation:
Distributive Property
A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number
Answer:
The number is 5
Step-by-step explanation:
A number is multiplied by 8 = 8x
8x + 2
8x + 2 = 42 Subtract 2 from both sides
- 2 -2
8x = 40 Divide by 8
x = 40/8
x = 5
Which statement compares the two numbers correctly?
Six hundred seventy-two thousandths ________ 0.8
A. Six hundred seventy-two thousandths < 0.8
B. 0.8 < six hundred seventy-two thousandths
C. Six hundred seventy-two thousandths = 0.8
D. Six hundred seventy-two thousandths > 0.8
Answer:
A
Step-by-step explanation:
Six hundred seventy-two thousandths = 0.672
0.672 < 0.8
Simplify the following expression completely, where x
Step-by-step explanation:
[tex]x \sqrt{5x {y}^{4} } + \sqrt{405 {x}^{3} y {}^{4} } - \sqrt{80 {x}^{3} {y}^{4} } [/tex]
[tex]x \sqrt{5xy {}^{4} } + 9 x\sqrt{5xy {}^{4} } - 4x \sqrt{5xy {}^{4} } [/tex]
[tex]6x \sqrt{5xy {}^{4} } [/tex]
Answer:
[tex]x\sqrt{5xy^4} + \sqrt{405x^3y^4} -\sqrt{80x^3y^4} =[/tex]
[tex]xy^2\sqrt{5x} + 9xy^2\sqrt{5x} -4xy^2\sqrt{5x} =[/tex]
[tex]xy^2\sqrt{5x} (1 + 9 - 4) =[/tex]
[tex]6xy^2\sqrt{5x}[/tex]
PLEASE HELP
Condense to a single logarithm: ln x +ln y − z
Question 12 options:
A) ln (x + y – z )
B) ln xy∕z
C) (ln x)(ln y∕z)
D) ln xy∕ ln z
Answer:
It is B
Step-by-step explanation:
[tex] ln(x) + ln(y) - ln(z) [/tex]
from law of logarithms:
[tex]{ \bf{ ln(a) + ln(b) = ln(ab) }} \\ and \\ { \bf{ ln(a) - ln(b) = ln( \frac{a}{b} ) }}[/tex]
so, in the question:
[tex] ln(x) + ln(y) - ln(z) \\ \\ = \{ ln(xy) - ln(z) \} \\ \\ = ln( \frac{xy}{z} ) [/tex]
The required logarithmic expression is ln(xy/z). Option B is correct.
Given that
To simplify ln x + ln y + ln z
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
A logarithmic function can be defined as the function inverse of the exponential function is a logarithmic function.
In the question, an algebraic expression of the log function is given a simplified form of the expression to be determined using the logarithmic property.
Simplification,
= ln x +ln y + ln z
Since log A + log B = log(A.B)
and log A - logB = log(A/B)
From above properties
= ln (x . y) - ln z
= ln [(x. y )/z]
Thus, the required logarithmic expression is ln(xy/z). Option B is correct.
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Please help!! 7th grade math! will mark brainlist!!!
Answer:
A: rectangle
B: still a rectangle
Step-by-step explanation:
Basically, if you cut it in half starting from the top straight down it would make it a rectangle because it can't be a square because all sides are not equal. And if you go from the far right top edge to the bottom left edge it will still be a rectangle but long.
Hope this helps love <3
HELP PLEASE ILL MARK BRAINLIEST
Answer:
B. [tex]\frac{3+\sqrt{29} }{2}[/tex]
Step-by-step explanation:
[tex]\frac{-(-3)\sqrt{(-3^2-4(1)(5)} }{(2)(1)}[/tex]
[tex]=\frac{-(-3)+\sqrt{29} }{2}[/tex]
kiras kayaks charges it's customers $8 per hour, but it gives a $5 discount to any customer who rents a kayak for at least 2 hours.
Can someone help me with is question?
Answer:
$20
Step-by-step explanation:
if you look at the graph it shows that cappie canoes charges $25 for 3 hours but for every 2 hours they get a $5 discount so 25-5=20
the image Of A(a+2b,2a-b) when reflected in the line y=x is A'(b-a,4b-2a). Show that 3a=2b
Answer:
1vbrbdhrgdvsvdbbd
Step-by-step explanation:
bhegsbdvsvdvdbrbdbr
ddghehrhebfhfhrhd
ehebrnrjrjrnr
dvdbdbfbfbfbtnyn
The school cafeteria sells apples for $0.25 and pears for $1.15. On Thursday they sold 9 pieces of fruit earning a total of $4.95. How many of each item did they sell?
9514 1404 393
Answer:
6 apples3 pearsStep-by-step explanation:
Let p represent the number of pears sold. Then 9-p is the number of apples sold. The total revenue was ...
0.25(9 -p) + 1.15p = 4.95
0.90p +2.25 = 4.95 . . . . . . collect terms
0.90p = 2.70 . . . . . . . . . . subtract 2.25
p = 3 . . . . . . . . . . . . . . . divide by 0.90
They sold 3 pears and 6 apples on Thursday.
Write three pairs of Prime numbers less than 20 whose sum is divisible by 5
[tex]\huge{ \color{black}{ \boxed{ \color{hotpink}{Answer}}}}[/tex]
Three pairs of Prime Numbers less than 20 whose sum is divisible by 5 are (2,3), (3,7), (2,13)
[tex] \: [/tex]
[tex]\large\tt\:⚘ \: MishiChaeYoon \: ⚘[/tex]
PLS HELP WILL AMRK BRAINLIEST!!!
Answer:
I would say A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The temp would drop as time goes on
What is 135 km/h to ft/s.
Answer:
123.035ft/s
Step-by-step explanation:
for an approximate result divide the speed value by 1.097
Find the value of the hypotenuse in the following rectangle:
Answer:
I think c = 5,sorry if im wrong
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 3^2 = 25 and the square root of 25 is 5
Answer:
The hypotenuse is 5 meters.
Step-by-step explanation:
According to the Pythagorean Theorem, the sum of the squares or, in this case, triangles, of the lengths of the legs of a right triangle equals the square or triangle equals the square or triangle of the hypotenuse.
A= 4m
B= 3m
4 with exponent of 2 plus 3 with exponent of 2 will help you get your answer. 4 times 4 is 16 and 3 times 3 is 9. 16 plus 9 equals to 25 and find the square root of 25 which is 5 because 5 times 5 equals to 25. I hope this helps!
A 260-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the lengths of the two pieces.
The short piece is inches long.