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
Which of the following are solutions to the graph?
Select all that apply:
Question 12 options:
(-6, -4)
(-2, -2)
(-1, 0)
(2, 0)
(4, 1)
(2, 6)
Answers
The solutions are the points that belong to the line, these are:
(-6, -4)
(-2, 2)
(-1, 0)
(2, 6)
Which of the points are solutions to the graph?Here we can see that we have the graph of a linear equation. The given points would be solutions if the points lie on the graphed line.
Remember that for a point (x, y), x is the value you need to look in the horizontal axis and y is the value that you need to look on the vertical axis.
Then, from the given points the ones that are on the graphed line are:
(-6, -4)
(-2, 2)
(-1, 0)
(2, 6)
All these points are on the line, thus, are solutions.
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(WILL GIVE BRAINLIEST) Find the total surface area of the figure shown.
ANSWER CHOICES:
319.30 yd^2
284.60 yd^2
249.60 yd^2
270.30 yd^2
Answers
Yea
Stephanie will be representing her school at the district track meet in the 200 meter race. She has kept records of her last 5 races. What is the mean absolute deviation of her races? Round your answer to the nearest tenth.RaceTime (seconds)123.6225.1324.8422.9524.2Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
119.816
Step-by-step explanation:
Given the data :
123.6, 225.1, 324.8, 422.9, 524.2
Mean absolute deviation (MAD) :
Σ|x - m| / n
m = mean = ΣX / n
n = same size = 5
m = 1620.6 / 5 = 324.12|
[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5
= 119.816
Consider the function: h(x) = 11 - 3x What is h(-2) ?
Answers
Answer:
17
Step-by-step explanation:
11-3x
11-3(-2)
11+6
Hence, 17
Hope it helps!
The evaluation is 17 when h(-2) of h(x) = 11-3x.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co domain, and domain for every function.
The given function is
h(x) = 11-3x
when x = -2
h(-2) = 11-3(-2)
= 11 + 6
= 17.
Therefore, the h(x) = 11-3x is 17 when x = -2
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simplify (3x^2 y^5)^4
Answers
Answer:
Step-by-step explanation:
Equation is below
Step 1
(3x^2 y^5)^4
Step 2
(3x^2 y^5)^4 Simplify
81x^8y^20
Step 3
81x^8y^20 check
Answer
81x^8y^20
Hope this helped
Write an equation to represent the situation: Last summer, Gary trained 14
more dogs than Zina. Together they trained 82 dogs. How many dogs did Gary train?
Answers
Answer:
A. g + (g + 14) = 82
Bonus: Gary trained 48 dogs. Triana trained 34.
Step-by-step explanation:
Since Gary trained 14 MORE dogs, anything with a minus sign is definitely wrong. As a result, B & C are eliminated. D is also eliminated because that simplifies to 2g + 28 = 82, which signifies Gary trained 28 more dogs, which is not true. That leaves A as our answer.
g + g + 14 = 82
Combine g & g to get 2g.
2g + 14 = 82
Subtract 14 from both sides.
2g = 82 - 14
2g = 68
Divide both sides by 2.
g = 68/2
g = 34
With that, we now know Triana trained 34 dogs. Add 14 to that, and you get 48 dogs, which is how many Gary trained.
Is LMN a right triangle?
Answers
Answer:
True
Step-by-step explanation:
We can sue the pythagorean theorem to verify. 15^2+36^2 should equal the longest side squared or 39^2. If we plug in the numbers, it checks out!
Answer:
true
Step-by-step explanation:
we can use the Pythagorean theorem to verify if the sum of the squares built on the legs is equal to the square built on the hypotenuse
36^2 + 15^2 = 39^2
1296 + 225 = 1521
1521 = 1521
the equality is verified so the answer is true
Very easy answer but does any one know what C is
Answers
Answer:
Step-by-step explanation:
they want you to recognize that it's a linear relationship
In this diagram, ABAC – AEDF. If the area of ABAC = 24 in2, what is the area of AEDF? D À E 2 in F В 4 in С Area AEDF = [?] in2 please I need help
Answers
Answer: 6
Step-by-step explanation:
The area of the triangle EDF is 6 in².
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent, and their corresponding sides are in equal ratios.
Given that, two triangles are similar, ABC and EDF,
We know that, the area of two similar triangles implies that if two triangles are similar to each other, the ratio of their areas will be proportional to the square of their corresponding side ratios.
Therefore,
ar(ΔABC)/ar(ΔEDF) = (2/4)²
24/ar(ΔEDF) = 1/4
ar(ΔEDF) = 6
Hence, the area of the triangle EDF is 6 in².
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A computer game company conducts a survey of random sample of customers to determine their favorite type of game. The results of the survey are shown below based on the survey results how many customers are expected to prefer fantasy games out of the 1,000 customers?
Answers
Answer:
1.6% of customers
Step-by-step explanation:
What type of study would you conduct if you wanted to know how many hours a week on average students at your school spend on homework? Explain your reasoning.
Answers
Answer:
In order to get the number of hours spent by the students on homework, a survey would be conducted where information would be collected from the students.
Step-by-step explanation:
In order to acquire the information directly from the users which cannot be measured otherwise, surveys are the best option. These provide an appropriate way of reaching out to large masses at a small-time with little or no prior investment.
19. What is the solution to 5.2x = 31.2? *
Answers
Answer:
x=6
Step-by-step explanation:
hope this helps
observe partes da reta numerada e escreva os números naturais indicados pelas setas.
Answers
Which solid has the top, side, and front views given
please help me I’m
In an exam!
Answers
Answer:
I. most probably
Hope it helps!!!
Step-by-step explanation:
Which of the equations shows an application of the Zero Property of Multiplication? A. 25+0=25 B. 13(3)= C. 0∙2=0 D. (34−2)−(34+3)=−5
Answers
Answer:
0∙2=0
Step-by-step explanation:
Zero Property of multiplication is as follows :
The product of a number and 0 is equal to 0.
In option (c), 0 is multiplied by 2 and as a result, we get 0 as the answer.
It means,
0∙2=0
Hence, option (c) i.e. 0∙2=0 shows the Zero Property of Multiplication.
find the value of y. 120° y = ?°
Answers
Answer:
240
Step-by-step explanation:
360 minus 120 degree give 240 degree
Answer: 60
Step-by-step explanation:
120/2= 60
Easy points you know it’s easy points
Answers
Answer:
98 ft²
Step-by-step explanation:
Answer:
98 ft²
Step-by-step explanation:
Want points
Find x and y ( please explain )
Answers
Answer:
y = 75°
Step-by-step explanation:
y and 105°
are on a straight line ,
a straight line is 180°
180 - 105 = 75°
y=75 °
I'm not sure about x hope you understand
18 multiplied by 2/3
Answers
Answer:
12
Step-by-step explanation:
18 x 2/3 = 36/3 = 12
2/3 of 18
2/3×18
2×6
12
hope this helps:)
what is the equation of the following line please help if u can
Answers
Answer:
B I believe
Step-by-step explanation:
every time the line hits a point you go up 1 and over 4
solve by subsution 10x=4 2x+y=-24
Answers
Answer:
big shaq
Step-by-step explanation:
A rectangular prism has a length of 1 yards, a width of 2) yards, and a height of 4 yards.
Enter the volume of the prism as a mixed number in simplest form in the box.
Answers
Answer:
8
Step-by-step explanation:
2*1*4=8
???Anyone knows answer??
Answers
Answer:
30feet
Step-by-step explanation:
I don't know the requirement to get full mark but can work through the equation but:
The man is creating a small triangle as information about the small triangle is given. The small triangle is a miniature size of the bigger triangle. So,
let x be the height of the tree
6/4=x/20
6/4*20=x
x=30 feet
Are the expressions 24 42 equal? Explain your answer.
Answers
no they are not equal
24= 2 tens 4 ones
42= 4 tens 2 ones
hence they are not equal
hope this helps and pls mark brainliest I just need 1 more to progress on to the next level:)
Answer:
no not at all
Step-by-step explanation:
not the same number
The box and whisker plots represent the number of minutes spent by users on two different social media groups. Which THREE statements are correct when comparing the plots?
A) The median time for users of Group B is 40 minutes.
B) Group B has greater median value than Group A.
C) The data for Group B varies slightly more than Group A.
D) The spread of the data for Group A is 25 minutes.
E) The spread of the data for Group A is 40 minutes.
Answers
Answer:
A, C, and D
Step-by-step explanation:
What is the equation of the line that passes through the point (-6, -5) and has a
slope of 3/2 ?
Answers
Answer
y= 1.5x+4
Step-by-step explanation:
please help me!!!!!!
Answers
Answer:
(2)
Step-by-step explanation:
mean: (13+15+17+17+17+20+27)/7=18
median: 17
mode: 17
A store sells a television for $1000. There are two payment options. Which option is better? ( PLS HELP!! I'M RLY STRUGGLING!! :< )
Answers
Ms. Hernandez takes 56 students to the museum. Some of the students travel in a van and some travel on a bus. Going to the museum, the ratio of students in the van to students on the bus is 2 : 5 Going back to school, 2 students move from the van to the bus.
Answers
Answer:
I think we are missing part of the question.
But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.
On the way home, it was 14 students in the van and 42 students in the bus, the ratio changes to 1:3
Estimate the number of pints in 445 ounces
Answers
Answer:
about 28
Step-by-step explanation:
its actually 27.8125 but if we're estimating im assuming that means to round
Answer:
28 pints
Step-by-step explanation:
There are 28 pints in 445 fluid ounces .