Answers
Answer:
[tex]\huge\boxed{\sf \frac{y-5}{y-3} }[/tex]
Step-by-step explanation:
Solving it by mid-term break method:
[tex]\displaystyle =\frac{y^2-3y-40}{y^2-11y+24} \\\\= \frac{y^2 -8y+5y-40}{y^2-3y-8y+24} \\\\= \frac{y(y-8)+5(y-8)}{y(y-3)-8(y-3)} \\\\Take \ (y-8) \ and \ (y-3)\ common\\\\= \frac{(y-8)(y-5)}{(y-8)(y-3)} \\\\= \frac{y-5}{y-3} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
[tex]\frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]
Step-by-step explanation:
We'll first factorize the quadratic equations by finding their zero-points:
[tex]y^2 - 3y - 40 = 0\\\Delta = (-3)^2 - 4\cdot 1 \cdot -40 = 9 + 160 = 169\\\sqrt{\Delta} = 13\\y = \frac{3 \pm 13}{2}\\y_1 = 8\\y_2 = -5\\y^2 - 3y - 40 = (y - 8)(y + 5)\\~\\y^2 - 11y + 24 = 0\\\Delta = (-11)^2 - 4\cdot 1\cdot 24 = 121 - 96 = 25\\\sqrt{\Delta}} = 5\\y = \frac{11 \pm 5}{2}\\y_1 = 8\\y_2 = 3\\y^2 - 11y + 24 = (y - 8)(y - 3)[/tex]
Now we can use this to simplify the whole division:
[tex]\frac{y^2-3y-40}{y^2-11y+24} = \frac{(y-8)(y+5)}{(y-8)(y-3)} = \frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]
Related Questions
the organic cafe has 15 pastries for sale, including 6 peach scones. what is the probability that a randomly selected pastry will be a peach scone?
Answers
Answer:
Probability of getting Peach scone pastry = 3 / 5
Step-by-step explanation:
Given:
Total number of pastries in store = 15
Number of Peach scone pastry = 6
Find:
Probability of getting Peach scone pastry
Computation:
Probability = Number of event / Total outcomes
Probability of getting Peach scone pastry = Number of Peach scone pastry / Total number of pastries in store
Probability of getting Peach scone pastry = 6 / 15
Probability of getting Peach scone pastry = 3 / 5
Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any makes no other deposits how much money does Patricio happiness saving account after 5 years
Answers
Answer: $537.5
Step-by-step explanation:
$500 at 1.5% for 5 years
p x r x t = i
500 x 0.015 x 5= 37.5
37.5+500=537.5
Carmen will randomly pick one marker from a bowl and one crayon from another bowl.
- There are 4 green markers, 3 brown markers, and 1 purple marker.
- There are 6 orange crayons and 2 yellow crayon.
What is the probability of picking a brown marker and a yellow crayon?
Answers
Yellow crayon- 2/8 = 1/4 because there are 2 yellow out of a total 8. If we simplify that and divide 2 from both sides, we get 1/4. :) Hope that helps! <3
what is the asnwer ot this problem
Answers
Explanation: Hypotenuse = 15
Angle of ladder=65 degree
Adj 65= a/15
(15) adj 65 = a/15 (15)
a=15 adj 65
A=6.34
PLEASE HELP 50 POINTS
Answers
Answer:
im leaning on parallelogram
Step-by-step explanation:
Parallelogram, Quadrilateral, and Rectangles
First off both of these images are parallelogram because the arrows show that both the rectangle and the square (diamond/whatever you want to call it) have pairs of parallel sides so we know that both these shapes are parallelograms
Secondly, these shapes are both quadrilaterals. A quadrilateral, by definition, is simply a four-sided figure. Both a rectangle and a square are four-sided figures so these are both quadrilaterals.
Lastly, these figures are both rectangles. Yes I know one is a square and one is a rectangle but a square is a special four sided figure that can classify as a rectangle. Every square is a rectangle but not every rectangle is a square. A rectangle by definition is a four sided polygon with two pairs of parallel sides, congruent sides, and four 90 degree interior angles.
Hope this helped :)
What is 1608 Rounded to the hundred?
Answers
Answer:
1600
Step-by-step explanation:
BRAINLIEST TO CORRECT ANSWER! :) NO links as answers, or you will be reported! (question 22)
Answers
Answer:
Hello! Your answer is, B) B
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
Answer:
A
Step-by-step explanation:
Mark me brainllest
I need help ASAP, pls
Answers
volume of a rectangular prism is V=L•W•H/3
so the problem would look like V=9•9•5/3
please help!
What is the volume of the cylinder below?
Answers
Answer:
c 62.8
Step-by-step explanation:
pi=3.14
3.14(2^2)5
3.14(4)5
3.14(20)
62.8 in
10 x 23 x 4 divided by 54 x 4
Answers
Answer: roughly 4.2593
Step-by-step explanation:
920/216
put the equation through a calculator
approx. 4.2593
Answer:
17.037037
Step-by-step explanation:
someone pls help !! geometry problemmm
Answers
Angle x=42
The arc measure equals the corresponding central angle measure
So x=42
solve these equations
7x − 2y = 6
-3x + 6y = 18
Answers
X-2y+6=0
Both answer^
The perimeter of a square is (8x + 6) centimeters. Part A: Write an expression for the length of a side of the square. Part B: The perimeter of the square is 72 centimeters. Write and solve an equation to find the value of x, then find the side length of the square.
Answers
Step-by-step explanation:
Part A:
(8x+6)/4= 2x+ 1.5
Part B:
72= (8x+6)
8x= 72-6
8x= 66
x= 8.25
the side length = 2x+1.5= 2(8.25)+1.5= 18 centimetres
the probability of randomly choosing an orange m&m from a bag of M&M's is 4/17. if the has a total of 102 M&M's how many orange M&M's are in the bag?
Answers
Answer:
24
Step-by-step explanation:
4/17
4= favourable
17=possible
102/17=6
so the factor is 6
which means 4x6 (24) is the answer
Fill in each blank with one of the three phrases: is less than, is equal to, or is greater than.
1,742 x 1.000 _______ 1,742
Answers
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ 1,742 x 1.000 > 1,742
I WOULD APPRICIATE BRAINLIEST!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
Answer:
lessm than
Step-by-step explanation:
anyone help if you can
Answers
Answer:
The answer is C
Step-by-step explanation:
HOPE it helps!!:))))
Find the area of each figure
Answers
Answer:
1824in. 2
Step-by-step explanation:
first, we need to cut it to two figure (a triangle and a rectangle), then calculate each of the area.
the area of triangle
= 12in.×48in.×1/2
= 576in.2×1/2
= 288in.2
the area of rectangle
= 32in.×48in.
= 1536in.2
the area
= 288in.2+1536in.2
= 1824in.2
Divide 1 km in the ratio 4:9:12
Answers
Answer:
40
Step-by-step explanation:
4+9+12=25
1/25×1000=40
Find the value of x.
Answers
Answer:
x = 115
Step-by-step explanation:
x = 115 because of alternate exterior angles
What is the area of the triangle?
Answers
Answer:
A = 6.36
Step-by-step explanation:
Hi! Please take a picture of the graph and solve it also answer the questions at the bottom! Tysm !!
Answers
Answer:if it's proportional, it should not pass through the origin
Step-by-step explanation:
Based on the provided answers already in the table, 8 strawberries seem to be picked consistently between a span of three hours. The graph would then just be a straight line going directly up to the right.
x y
0 0
1 8
2 16
3 24
4 32
Yes, the line passes through the origin. (0,0.)
Hope this helped! Khan Academy is a great resource for mathematics.
I NEED HELP QUICKLY
No Links or Files you will be reported
Based on the graph, what is the solution set to the equation −30+9x=−0.5x|x−1|−2?
The solution set to the equation is {____}.
Answers
Answer:
{ 3 }
Step-by-step explanation:
-30+9x=-0.5 |x-1| -2
from the graph, we can see that both curves intersect at (3,-3)⇒x=3
put x=3 in LHS&RHS
⇒LHS=-30+9(3)=-3
RHS=-0.5 |3-1|-2=
-1/2×2-2=-1-2=-3
so the answer will be 3..
hope it helps..
have a great day!!
The actual length of side y is 22cm. Use the scale drawing to find the length of side x.
Answers
Given:
The actual length of side y is 22cm.
To find:
The length of side x by using the scale drawing.
Solution:
We know that the corresponding sides of original figure and scale drawing are proportional.
[tex]\dfrac{x}{1.8}=\dfrac{y}{1.4}[/tex]
[tex]\dfrac{x}{1.8}=\dfrac{22}{1.4}[/tex]
[tex]x=\dfrac{22}{1.4}\times 1.8[/tex]
[tex]x\approx 28.286[/tex]
Therefore, the length of side x is about 28.286 cm.
Help no links please
Answers
how much fencing is required to enclosed a circular garden whose radius is 14 m? use 22/7 for π
Answers
Answer:
[tex]circumference = 2\pi \: r \\ = 2 \times \frac{22}{7} \times 14 \\ 88 \: m \: fence[/tex]
REPOST, SOMEONE PLEASE HELP I DONT WANT TO KEEP WASTING ALL MY POINTS ON 1 QUESTION!!!!!!!
Answers
Answer:
:
1.
centre(h,k)=(-13,9)
radius (r)=6
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x+13)²+(y-9)²=6²
(x+13)²+(y-9)²=36you can write this equation too
x²+26x+169+y²-18y+81=36
x²+y²+26x-18y+169+81-36=0
x²+y²+26x-18y +214=0
is a required equation of the circle.
2.
centre(h,k)=(1,-1)
radius (r)=11
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-1)²+(y+1)²=11²
(x-1)²+(y+1)²=121
you can write this equation too
x²-2x+1+y²+2y+1=121
x²+y²-2x+2y=121-2
x²+y²-2x+2y=119
is a required equation of the circle.
3.
centre (h,k)=(3,1)
radius (r)=4units.
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-3)²+(y-1)²=4²
(x-3)²+(y-1)²=16 is a required equation.
4.
centre(h,k)=(4,-2)
radius (r)=3
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-4)²+(y+2)²=3²
(x-4)²+(y+2)²=9
you can write this equation
SOMEONE PLEASEE HELP!!?!?
Answers
Answer:
The answer is H
Step-by-step explanation:
A cone has a height of 8.4 centimeters and a base with a radius of 5.2 centimeters. What is the volume of the cone?(PLEASE SOLVE IT)
Answers
Answer:
237.86 cm3
Step-by-step explanation:
V=πr2h
3=π·5.22·8.4
3≈237.85626cm³
Raquel’s favorite basketball player scored 25, 17, 38, 11, and 24 points during her games.
What is the mean number of points the player scored?
Answers
Answer:
23 points
Step-by-step explanation:
( ‘mean’ means the average)
add all the numbers together and divide by how many numbers are there.
25+17+38+11+24=115
115/5=23
If a pizza that is 12 inches in diameter provides three full meals, how many meals are provided by a pizza that is 20 inches in diameter?
Answers
Answer:
If 12 inches in diameter can provide 3 full meals then it's obvious that one meal is 4 inches in diameter. So 20 would give 5 full meals.
Step-by-step explanation:
Yeah