Answer:
[tex]\huge\boxed{\bf\:1}[/tex]
Step-by-step explanation:
[tex]\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }[/tex]
Take [tex]\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 }[/tex] & factorise it at first.
[tex]\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \\= \frac{\left(x-3\right)\left(x-1\right)}{\left(x-4\right)\left(x-3\right)}\\= \frac{x-1}{x-4}[/tex]
Now factorise the next set : [tex]\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }[/tex].
[tex]\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{\left(x-4\right)\left(x+6\right)}{\left(x-1\right)\left(x+6\right)}\\= \frac{x-4}{x-1}[/tex]
Now, multiply the two simplified results.
[tex]\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{x-1}{x-4}\times \frac{x-4}{x-1} \\= \frac{\left(x-1\right)\left(x-4\right)}{\left(x-4\right)\left(x-1\right)} \\= \boxed{\bf\: 1}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
A bag contains 5 red crayons, 4 blue crayons, and 6 green crayons. A crayon is randomly selected, its color is recorded, and it is returned to the bag. This is repeated 750 times.
How many times is it expected that a blue crayon will be selected?
Answer:200
Step-by-step explanation: There are 15balls and the probability of picking a blue ball once is 4/15
The ball is returned and repeated 750 Times. Multiply 4/15 by 750
A 200Answer:
Step-by-step explanation:
Dan surveys 10 of the 24 students in his calss about the number of people in
their families. The results of Dan's survey are given.
3, 3, 4, 3, 6, 5, 7, 3, 4, 2
Based on the results of Dan's survey, what would be the best estimate for the
mean number of people in students' families in his class?
Answer:
4
Step-by-step explanation:
The total of all numbers divided by how many surveys were done.
4. A line with the preimage equation y = 12x is translated 4 units to the right along the x-axis and 25 units up along the y-axis. Which is the equation of the image line?
Answer:
(d) y' = 12x -23
Step-by-step explanation:
The transformation that translates function y = f(x) by h units right and k units up is ...
y' = f(x -h) +k
__
Your function is ...
y = 12x
and you want to translate it by (h, k) = (4, 25). That makes it ...
y' = 12(x -4) +25 = 12x -48 +25
y' = 12x -23
What is the largest perimeter possible for a rectangle with positive whole-number dimensions and an area of 120 square centimeters ?
the largest perimeter possible for a rectangle with positive whole-number dimensions and an area of 120 square centimeters is 242 cm.
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
here, given that,
a rectangle with positive whole-number dimensions and an area of 120 square centimeters.
now, we get,
You could have the width as 1 and the length as 120 making the area 120cm^2 but the perimeter 242.
Hence, the largest perimeter possible for a rectangle with positive whole-number dimensions and an area of 120 square centimeters is 242 cm.
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27 pointts please help me
Answer:
1) 7 + 2/7 , 2) 1 + 11/12
Step-by-step explanation:
1) 7/51 = 7 + 2/7
2) 23/12 = 1 + 11/12
which number has the greatest absolute value 50,30,-20,-60
Answer:
-60
Step-by-step explanation:
-60 has the greatest absolute value.
|-60| = 60
Answer:
-60
Step-by-step explanation:
To sum it up shortly and easy absulate value is how much a number is far from zero, -60 is basically 60 numbers away from zero making it the greatest.
Tori is throwing a pool party to kick off the summer. Her pool is empty, so she starts filling it with water from a garden hose. There is a proportional relationship between the time Tori has been filling up the pool (in minutes), x, and the volume of water in the pool (in gallons), y.
Answer:
y/x
Step-by-step explanation:
Answer: y/x
water/time = unit rate = y/x
Which equation represents the circle described? the radius is 2 units. the center is the same as the center of a circle whose equation is x2 y2 – 8x – 6y 24 = 0. (x 4)2 (y 3)2 = 2 (x – 4)2 (y – 3)2 = 2 (x – 4)2 (y – 3)2 = 2² (x 4)2 (y 3)2 = 2²
The equation of the circle x² +y² – 8x – 6y + 21 = 0 is equal to the equation (x + 4)² + (y − 3)² = 2². Then the correct option is C.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
x² + y² – 8x – 6y + 21 = 0
The equation can be written as
x² – 8x + 16 + y² – 6y + 9 = 4
(x + 4)² + (y − 3)² = 2²
Then the center of the circle is at (-9, 6) and the radius of the circle is 10 units.
More about the circle link is given below.
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A picture frame has an area of 48 square inches. What is the largest possible perimeter of the picture frame? HURRY PLS BRAINLIEST
A) 28 inches
B) 96 inches
C) 102 inches
D) 98 inches
Answer:
A (102 inches)
Step-by-step explanation:
C) 102 inches
============
There are endless options related to length and width of any shape with 48 square inches.========
For example: Let the length of rectangle be 0.1 and width should be 480
For this the area is 48 square inches and perimeter is 960.2 inch.
Thus we can see perimeter can be above the area→ Here since they asked for largest possible perimeter . 102 inches will be the correct option.
What is the area of this rectangle? You should NOT include units in your answer. Round your answer to the nearest tenth. 6.3. 4.3
Don't forget to express the result in the squared unit, and you are good to go. The area of any rectangular place is or surface is its length multiplied by its width. For example, a garden shaped as a rectangle with a length of 10 yards and width of 3 yards has an area of 10 x 3 = 30 square yards.
see attachment below 10 POINTS AND BRAINLYIEST
Answer:
solution in photo
Step-by-step explanation:
srry its on its side!
Question
Find the perimeter of the window to the nearest hundredth.
perimeter: about
ft
[tex]p = \frac{1}{2} \times 2 \times \pi \times radius \\ [/tex]
[tex]p = 3.14 \times \frac{3}{2} \\ [/tex]
[tex]p = 3.14 \times 1.5[/tex]
[tex]p = 4.71 \: \: ft[/tex]
Answer:
[tex]7.71ft[/tex]
Step-by-step explanation:
Formula for finding circumference
[tex]\frac{1}{2} \pi *d+d[/tex]
Diameter = [tex]3ft[/tex]
Substitue into equation:
[tex]\frac{1}{2}\pi *3+3[/tex]
Solve:
[tex]3.14*3=9.42\\\frac{1}{2} of9.42=4.71\\4.71+3=7.71[/tex]
just this one
What percent of your budget is food if your monthly income is $6000 and you spend 900 on food each month?
Answer:
15%
Step-by-step explanation:
900/6000
which is the same as 900÷6000
900÷6000= 0.15
0.15 as a percent in 15%
Part B
Based on your research, which of the three stocks would have been the best investment option over the past year? Explain the reason for your
choice.
Answer:The J C Penney Company stock would have been the best investment option, because the stock provided a rate of return of 18.82 percent to investors during the past year. The Apple stock offered a lower return of 13.29 percent. The Ford Motor Company gave a negative return of 0.51 percent, which means investors in this stock lost a small amount of their investment over the past one year.
Step-by-step explanation: ANSWER FOR EDMENTUM/PLATO
(Answers may vary.)
The J C Penney Company stock would have been the best investment option, because the stock provided a rate of return of 18.82 percent to investors during the past year. The Apple stock offered a lower return of 13.29 percent. The Ford Motor Company gave a negative return of 0.51 percent, which means investors in this stock lost a small amount of their investment over the past one year.
Step-by-step explanation: edmentum/ plato exact
Please help!!!!!
plane intersects a double-napped cone such that the plane contains the generating line.
Which terms describe the degenerate conic section that is formed?
Select each correct answer
A. pair of intersecting lines
B. degenerate hyperbola
C. line
D. point
E. degenerate parabola
F. degenerate ellipse
Answer:
degenerate parabola & Line
Step-by-step explanation:
I took the test
Simplify the expression
10 +2 (9−4) x 7
Answer:
80
Step-by-step explanation:
10 +2 (9−4) x 7
PEMDAS
10 + 2(5) x 7
10 + 10 x 7
10 + 70
80
(assuming x in this equation was multiplication and not a variable?)
Hey there!
Just do PEMDAS; PEMDAS simply means…
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
10 + 2 (9 - 4) * 7
= 10 + 2(5) * 7
= 10 + 10 * 7
= 10 + 70
= 80
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Solve ax + by = a-b and bx – ay = a+b
Answer: x=1 y=1
Step-by-step explanation:
ax+by=a−b .......... (1)
bx−ay=a+b .......... (2)
Multiply equation (1) with a and equation (2) with b ,
a
2
x+aby=a
2
−ab ..........(3)
b
2
x−aby=ab+b
2
......... (4)
Adding (3) and (4), we get,
(a
2
+b
2
)x=a
2
+b
2
⇒x=1
Now, from (1),
ax+by=a−b
a+by=a−b
by=−b
y=−1
Determine the volume of cone. Use 3.14 for 7.
5 m
14 m
r
m3
Answer:
Given :-
Base radius = 5mHeight = 14mTo Find :-
Volume of coneSolution :-
Volume of cone = 1/3πr²hPutting the known values ,
Volume = 1/3×3.14×5²×14 m³
Volume = 366.33 m³
Answer:
366.33 cubic meters[tex] \: [/tex]
Step-by-step explanation:
In the question, it is given that a cone has a radius of 5 meters and a height of 14 meters and we have to find the volume of the cone.
[tex] \: [/tex]
To find the volume of the cone, we must know this formula :
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times \pi \times {(r)}^{2} \times h }}}}}}} \\ \\[/tex]
Where,
r refers to the radius of the cone.h refers to the height of the cone.Now, we will substitute the values in the formula :
[tex] {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 25 \times 14 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 350 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1099 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1099}{3}}}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\frak { Volume_{(cone) }= 366.33}}}}}}} \\ \\[/tex]
Therefore,
The volume of the cone is 366.33 m³what is the answer to this problem k+11=-8?
Answer:
k = -19
Step-by-step explanation:
Given
k + 11 = -8Subract 11 from each side.
k + 11 - 11 = -8 - 11k + 0 = -19k = -19Hey there!
Solve the equation :
Answer :k = -19 ✅
Explanations :k + 11 = -8
>> Substract 11 from both sides :
k + 11 - 11 = -8 - 11
>> Simplify :
k = -19
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pls help me complete the question 9to10. Thanks
Answer:
9) y=x+16
10) width=x-a
Step-by-step explanation:
You can find the complete solution for question 9 and question 10 in the given attachment
ANSWER 9)
FROM FIGURE
area of televsion=area of rectangle=length×breadth
Given,
Area of rectangle=x²+16x
x²+16x=length×breadth
x²+16x=y×x
dividing by x on both sides we get
x+16=y
Hence y=x+16
I hope it helped you
Help asap please!!
What is the recursive rule for this geometric sequence? 500, 100, 20, 4, ...
What is the recursive rule for this geometric sequence?
500, 100, 20, 4, ...
a1=500; an=−5an−1
a1=2500; an=15an−1
a1=500; an=15an−1
a1=2500; an=−5an−1
Answer:
Step-by-step explanation:
The common ratio = 100/500 = 1/5 and the first term a1 = 500.
The rule is a1=500; an = 1/5a(n-1)
Which pattern is a characteristic of a graph of exponential growth?.
Answer:
rises sharply on the right
Step-by-step explanation:
Which point is a reflection of point R (-2,9) first across the y-axis and then across the x-axis?
A (-9,-2)
B (-2,-9)
C (2,-9)
D (9,-2)
Please Someone Help Me With This Question
Answer:
Option D
Step-by-step explanation:
The reflection of (x,y) is (y,x)
so R(—2,9) = (9,—2)
A swimmer dives 300 feet underwater, swims up 150 feet, and then swims down 50 feet. Which expression describes the scenario correctly?
Answer:
Your answer would be -300+150+(-50)
Step-by-step explanation:
The first equation in the system models the height, h, of a falling volleyball as a function of time, t. the second equation models the height, h, of the hands of a player jumping up to spike the ball as a function of time, t. which statement describes the situation modeled by this system?
The volleyball is 14 feet above the ground at the instant the player begins her jump.
What is the equation of motion?It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.
We have two equation for two different situations:
[tex]\rm h(t) = 14 - 16t^2\\[/tex] (falling volleyball as a function of time t)
[tex]\rm h(t) = 7+24t-16t^2[/tex] (the hands of a player jumping up to spike the
ball as a function of time t)
First, we have to find the height of the ball above the ground at the instants the player begins to jump:
At t = 0 when the player begins to jump
Put t = 0 in the second equation, we get:
[tex]\rm h(0) = 7+24\times 0-16\times0^2[/tex]
Height of the hand, h = 7 units
Now put t = 0 in the first equation, we get;
[tex]\rm h(0) = 14 - 16\times0^2[/tex]
h = 14 units.
Thus, the volleyball is 14 feet above the ground at the instant the player begins her jump.
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Answer:
the answer is B on E 2020
Step-by-step explanation:
cuz i said so :|
Sam is planning to start a pool cleaning business from his home. he has developed the following cost analysis for the set-up and operation for the first year of his business. he has $9,000 in savings and $23,000 in credit that he can use for the business. approximately what percent of the initial set-up and operation costs will sam need to finance with a lender or investor? item cost truck $9,000 pool cleaning supplies $6,000 payroll $23,000 advertising $1,500 a. 19% b. 23% c. 33% d. 78%
The percent of the initial set-up and operation costs that Sam needs to finance with a lender or investor is A. 19%.
How to illustrate the percentage?From the information given, Sam is planning to start a pool cleaning business from his home. he has developed a cost analysis for the set-up and operation.
Here, the percent of the initial set-up and operation costs that Sam need to finance with a lender or investor is simply 19%.
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Natasha is a regional manager for a chain of supermarkets. she has been tasked with researching the weekly sales records of two branch locations over the past month, which she must present to her board of directors. she was able to assemble the relevant information in the table below, but it is scrambled and hard to read. sales are listed in thousands of dollars. week 4 1 1 3 4 2 3 2 sales 16.3 17.8 23.1 15.2 20.2 23.4 22.9 17.6 branch north south north south south north north south in order to make the data more readable, natasha has decided to put it into a graph. which of the following graphs accurately matches the information in the table? i.a bar graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, from 15 to 23. week 1 north, 23.1; week 2 north, 23.4; week 3 north, 22.9; week 4 north, 16.3. week 1 south, 17.8; week 2 south, 17.6; week 3 south, 15.2; week 4 south, 20.2. ii. a line graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, going from 15 to 23. iii.a graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, going from 15 to 23. points are plotted all over the graph. iv. a pie chart titled sales (dollars times 1,000). north 1, 16.3; north 2, 17.8; north 3, 23.1; north 4, 15.2; south 1, 20.2; south 2, 23.4; south 3, 22.9; south 4, 17.6. a. i b. ii c. iii d. iv
The graph which accurately matches Natasha's data for the chain of supermarkets is a bar graph.
How to read the data from the table?A table is a way to represent the data of two or more variables.
To read the data from the table look for the value of one variable, and get the resultant value of another variable from the corresponding block.
Natasha was able to assemble the relevant information in the table below,
Sales are listed in thousands of dollars.
Week - 4 1 1 3 4 2 3 2
Sales- 16.3 17.8 23.1 15.2 20.2 23.4 22.9 17.6
Branch- North South North South South North North South
To show the sales with respect to the time period, the best data chart is the bar graph. In a bar graph, the height of the bars is proportional to the data value it possesses.
Here, for the sales by the Natasha the bar graph should be used as, the bar graph has a week on the x-axis and sales (dollars times 1,000) on the y-axis, from 15 to 23.
Week 1 North, 23. 1; week 2 north, 23. 4; week 3 north, 22. 9; week 4 north, 16. 3. Week 1 south, 17. 8; week 2 south, 17. 6; week 3 south, 15. 2; week 4 south, 20. 2.
Hence, the graph which accurately matches Natasha's data for the chain of supermarkets is the bar graph.
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Which statement best describes how to determine whether f(x) = x4 – x3 is an even function? determine whether (–x)4 – (–x)3 is equivalent to x4 – x3. determine whether (–x4) – (–x3) is equivalent to x4 x3. determine whether (–x)4 – (–x)3 is equivalent to –(x4 – x3). determine whether (–x4) – (–x3) is equivalent to –(x4 x3).
Since f(x) ≠ f(- x) then f(x) is not an even function. (–x)^4 – (–x)^3 is equivalent to x^4 – x^3.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
We need to find f(x) = x^4 – x^3 is an even function
If 2 functions are even, then
f(x) = f(- x)
f(x) = [tex]- x^3[/tex]
f(- x) = [tex]- (- x)^3 = + x^3[/tex]
Since f(x) ≠ f(- x) then f(x) is not an even function.
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Answer:
A
Step-by-step explanation:
A backyard has an area of 64 square feet. What is the smallest possible perimeter of the backyard?
I have been having trouble with width, and perimeter! I cant memorize it all. I need help on that question, and I know I wont get an answer back immediately so, please help me out!
Help please giving out Brianlest thank you very much
Answer:
5/6
Step-by-step explanation:
See attached Venn diagram
Given they passed the test is 12
then 10 of these completed the assignment 10 /12 = 5/6