Answers
9514 1404 393
Answer:
(x -3)/(x -1) and (x +2)/(x -3)
Step-by-step explanation:
If you want the product of two fractions to be a/b, then 'a' must be a factor in the numerator of one of them, and 'b' must be a factor in the denominator of one of them.
'a' and 'b' are already in the numerator and denominator of a/b, so we can choose the other fraction to be something that has a value of 1, such as c/c.
(a/b)(c/c) = (ac)/(bc) = a/b
The intermediate product (before we reduce the result) has a numerator of 'ac' and a denominator of 'bc'. We can split those into two parts however we like. For example, we can get the same result by multiplying ...
(a/c)(c/b) = (ac)/(bc) = a/b
So, a simple answer to your question could be ...
[tex]\left(\dfrac{x-3}{x-1}\right)\times\left(\dfrac{x+2}{x-3}\right)=\dfrac{x+2}{x-1}[/tex]
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The idea is to multiply the given result by 1 in some form. That form can be as complicated as you like, and its factors can be grouped any way you like
Related Questions
BC=8.5cm.
Angle ABC = 90°.
Angle ACB = 38°.
Work out the length of AB.
Give your answer correct to 3 significant figures.
Answers
Answer:
AB = 154
Step-by-step explanation:
Triangle Rectangle ABC = 90
Sen 38°=0.616 = 154/250
Sen 52°=0.788 =197/250
AC =250
AB = 154
BC = 197
Write the slope intercept form of the equation of the line through the given point with the given slope
(0,3) Slope=1/4
Answers
adding decimals
the sum of 32.11 + 109.14+ 3.67 =
Answers
Answer:
144.92
Step-by-step explanation:
32.11 = 032.11
3.67 = 003.67
032.11
109.14 +
003.67 +
______
144.92
______
Brandon is going to the Sutter County Fair. Admission to the fair is $7, and each ride costs $2.
Write an equation that shows how the total amount Brandon spends, y, depends on the number of rides he takes, x.
Answers
The Answer: y = 2x + 7
Please I got 25 Brainly points (03.03)
The table below represents a linear function f(x) and the equation represents a function
g(x)
х
f(x)
-9
-1
0
-1
1
1
7
g(x) = 3x-2
Part A: Write a sentence to compare the slope of the two functions and show the steps
you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answers
Let (x1, y1) = (0, -1)
(x2, y2) = (1, 7)
Plug these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = [7 - (-1)] / [1 - 0]
m = (7 + 1) / 1
m = 8/1 or 8.
Therefore, the slope of f(x), m = 8.
The y-intercept of the function, f(x) is given by (0, -1), as it is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0.
The equation of the linear function, f(x) is:
f(x) = 8x - 1.
Given the slope-intercept form, y = mx + b, where m represents the slope of the line, and b represents the y-intercept:
The function, g(x) = 3x - 2 has a slope of 3, and y-intercept of -2.
Comparing the slope and y-intercept of the two functions, f(x) and g(x):
The slope of f(x), m = 8 is greater and steeper than the slope of g(x), m = 3. The y-intercept of f(x), b = -1 is greater than the y-intercept of g(x), b = -2.
Attached is a screenshot of the graph of both lines, including their y-intercepts. The blue line is g(x) = 3x - 2, and the red line is f(x) = 8x - 1.
Please mark my answers as the Brainliest if you find this helpful :)
Find the value of k so that the remainder is 1 when x^3+5x^2+kx-8 is divided by (x-3)
K=
Answers
By the remainder theorem, the remainder upon dividing [tex]x^3+5x^2+kx-8[/tex] by [tex]x-3[/tex] is given by the value of this expression when x = 3 :
[tex]3^3 + 5\cdot3^2 + 3k - 8 = 1[/tex]
Solve for k :
[tex]27 + 45 + 3k - 8 = 1 \\\\ 3k = -63 \\\\ \boxed{k = -21}[/tex]
in the expression 8 ( x-y +b(x-y ; the common binomial factor is
Answers
Step-by-step explanation:
the common binomial factor is (x-y).
hope this helps you.
Heeeeelppp please help
Answers
Answer:
.98 L / b * .4 b = .392 L amount contained in sample
.99 L / b * .25 b = .248 L this was rounded from .2475
1.00 L / b * .3 b = .30 L
1.01 L / b * .05 b = .05 L
---------------------------------------
3.98 L / 4 b * 1.0 b = .99 L
Actual measurements might be 40 bottles at .98 L/b, 25 bottles at .99 etc
Then the total liters would be divided by the total number of bottles
How much is 20-20? help me please
Answers
Answer:
the answers is20-20=0
Step-by-step explanation:
20 -
20
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0
Answer:
Answer=20
Step-by-step explanation:
20 - 20
20/2=10
10-10=0
C: LOL
Which of the statements below are true? Select all that apply. A) (2, 2) is a point on the line shown B) (3,6) is a point on the line shown C) Each pack of gum costs $2.00 D) Each pack of gum costs $0.50.
Answers
Answer:
C)
Step-by-step explanation:
Find the measure of each marked angle.
Answers
Answer:
x=64
Step-by-step explanation:
180=x+2+4x-142
180=5x-140
320=5x
64=x
Rational numbers can be written as either terminating or nonterminating decimals. What kind of nonterminating decimals are rational numbers?
Answers
Answer:
Non terminating recurring decimals
Step-by-step explanation:
Decimals can be categorised into two groups: Terminating and non-terminating. Terminating decimals are rational, and non terminating can be further divided into: Non terminating Recurring (which are rational) and Non terminating Non recurring (which are irrational).
how many distinct 9-digit numbers can you make from four "1", three "2", and two "3"?
Answers
Answer:
2520
Step-by-step explanation:
If a nine digit number contains exactly 4 one's, 3 two's and 2 three's
We can choose the positions of the 1's in P(9/4) ways.
We can choose the positions of the 2's from the five remaining positions in P(5/3) ways
We can choose the positions of the 3's from the two remaining positions in P(2/2) ways
In this problem order doesnt matter..
= (9!/5!×4!) × (5!/3!×2!) × (2!/2!×0!)
= 2520
1 9) y=--x + 3 3 *x y 2 # 54 B X there
Answers
the slope is -1/3 and since the slope is negative, the line goes the opposite way and you start at (3,0)
Please Help me with this maths question
Answers
Step-by-step explanation:
formula to find volume of a cylinder => V= πr²h
(22/7×(3.5)²×12)cm³
462cm³.
now the total volume of plastic used is = 462×0.2 = 92.4cm³.
hope this helps you.
can someone please help me with this
Answers
Answer: 780
Step-by-step explanation: if right please mark as brainlest
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answers
Answer:
Its basically asking how many pennies there are.
The answer is 37.5=2.5x because x represents the number of pennies while 2.5 represents the weight. Hope this helps!
x=15, by the way.
Step-by-step explanation:
can someone please explain this
Answers
Answer:
D) 70 degrees
Step-by-step explanation:
A triangle angle's has a total of 180 degrees
180 - 40 = 140
140/2 = 70 (the other 2 angles are equvilent angles)
Brainly plz :)
Answer:
answer below
Step-by-step explanation:
every triangle has angle that, added together, equal 180 degrees.
if the given angle is 40 and the red lines tell you the sides are equal in length (both lines have only one red line so they are the same.), calculate the angles. (hint they are both the same amount of degrees.)
My process:
180-40=140
?+?=140
70+70=140
solution= 140 degrees
please help!!
-69 + 63t = 9( 77 - 8) + 3
Answers
The purpose of this document is to provide proof of identity and employment eligibility for the person being hired.
I-9 form
W-4
application
resume
Answers
Find the GCF of 72 and 108.
Answers
Answer: the gcf of 72 and 108 is 36!
calculate the shaded area
Answers
Answer:
640[tex]cm^{2}[/tex]
(I hope that I am right)
Step-by-step explanation:
The bigger shape :1. First, look at the triangle as a whole -Area of a triange : [tex]\frac{Base x Height}{2}[/tex]
30 x 48 = 1440[tex]cm^{2}[/tex]
1440 ÷ 2 = 720[tex]cm^{2}[/tex]
2. Now let's look at the small triangle -20 x 16 = 320[tex]cm^{2}[/tex]
320 ÷ 2 = 160[tex]cm^{2}[/tex]
The area of the bigger shape -720 - 160 = 560[tex]cm^{2}[/tex]The smaller shape :1. Let's look at the shape as a rectangle first -Area of a rectangle = Base x Height
20 x 16 = 320[tex]cm^{2}[/tex]
2. Now let's do the little triangle -20 - 30 = 10
10 x 16 = 160[tex]cm^{2}[/tex]
160 ÷ 2 = 80[tex]cm^{2}[/tex]
The area of the smaller shape -80[tex]cm^{2}[/tex]The Area Of The Shaded Area :560 + 80 = 640[tex]cm^{2}[/tex]Evaluate the function
f(x) = - 2x^2 + 2x + 4
Find f(1)
Answers
Answer:
f(1) = 4
Step-by-step explanation:
f(x) = - 2x^2 + 2x + 4
f(1) = - 2(1)^2 + 2(1) + 4
f(1) = -2 + 2 + 4
f(1) = 4
please help me quickly
Answers
Answer: y= 2x - 2
Step-by-step explanation:
WORTH 100 POINTS IF YOU GET IT RIGHT IN THE NEXT FIVE MINUTES
Evaluate the expression when x=1/4 and y=1/2.
2(1/16+x2)+5y
Enter your answer as a mixed number in simplest form.
Answers
[tex]\displaystyle \sf Find : \\\\ 2 \left( \frac{1}{16}+x^2 \right)+5y =? \ \ ; \ \ If : x=\frac{1}{4} \ ; \ y=\frac{1}{2} \\\\\\ 2\left( \frac{1}{16} +\bigg(\frac{1}{4} \bigg) ^2\right)+5\cdot \frac{1}{2} =2\cdot \frac{2}{16} +\frac{5}{2} =\frac{1}{4} +2+\frac{1}{2} =\boxed{2\frac{3}{4} }[/tex]
what is the diameter of 12mm and 8mm
Answers
Answer:
diameter 12mm
Step-by-step explanation:
Please help!
What system of linear equations is shown in the graph? Enter your answers in the box.
Answers
Answer:
The equation of the line with a bold line:
slope = ( 0 - ( -1 ) ) / ( ( 2 - 0 ) )= 1/2
c = -1
Therefore, y <= ( 1 / 2 ) x - 1
The equation of the line with the dotted line:
slope = ( 1 - ( - 2 ) ) / ( 0 - 1) = - 3
c = 1
Therefore, y < - 3x + 1
Step-by-step explanation:
If there is any confusion please leave a comment below.
What are the vertex and x intercepts of the graph of the function below
y=(x-4)(x + 2)
Answers
Answer:
x - intercepts: (4,0) and (-2,0)
vertex: (1/2 , - 17/2)
Step-by-step explanation:
Part A
To find the x-intercepts you have to set y=0
(x-4) (x+2) = 0
Separate the parenthesis. Solve for x
x-4 = 0
x= 4
x+2 = 0
x= -2
x - intercepts: (4,0) and (-2,0)
-------------------------------------------------
Part B
vertex formula for the x: coordinate : -b/2a
Expand the function.
y = 2x^2-2x-8
a = 2
b = -2
c= -8
-b/2a = -(-2)/2(2) = 1/2
vertex x- coordinate: 1/2
Substitute 1/2 back into every "x" in the function to find the "Y" for the vertex.
y = 2(1/2)^2 -2(1/2) -8
y = -17/2
vertex: (1/2 , - 17/2)
Can somone help ill give you brainliest.
Answers
Before it started to rain, Bobby cut 1 8 of the grass in his yard and Danny cut 1 5 of the grass in the yard. Both boys were disappointed because they were not able to cut the entire yard. Which statement is TRUE?
A) Together the boys didn't even cut half the yard.
B) The boys were able to cut more than half the yard.
C) The boys cut almost three-fourths of the yard.
D) Together the boys cut almost the entire yard.
Answers
Answer:
Option A is correct
Step-by-step explanation:
Bobby = 1/8
Danny = 1/5
Let's add up both fractions:
1/8 + 1/5 =
1*5/8*5 + 1*8/5*8 = (multiplying both the numerator and
5/40 + 8/40 = 13/40 denominator by the opposite denominator)
Together, they both cut 13/40 of the entire lawn.
Let's check each option:
A) Together the boys didn't even cut half the yard.
True, half of the yard is 20/40, and 13/40 < 20/40
B) The boys were able to cut more than half the yard.
False, half of the yard is 20/40, and 13/40 is not greater than 20/40
C) The boys cut almost three-fourths of the yard.
False, three-fourths of the yard is 30/40, and 13/40 is not close.
D) Together the boys cut almost the entire yard.
False, the entire yard is 40/40 and 13/40 is not close.
-Chetan K