Give the factors for the numerator [n] and denominator [d] after reducing.
Answer:
The factors for the numerator [n] and denominator [d] after reducing will be:
[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]
[tex]=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]
[tex]=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]
∵ As factor [tex]\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)[/tex]
so the expression becomes
[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]
∵ As factor [tex]2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)[/tex]
so the expression becomes
[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x+5[/tex]
[tex]=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:
[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
A class has 48 minutes available to hear reports from 15 students. if the time is to be divided equally, how long may each student have?
Answer:
No, every student will have 3.2 minutes
Answer:
Each student has approximately 3 minutes and 12 seconds.
Step-by-step explanation:
You divide the total amount of minutes by the total amount of students. 48/15=3.2
After you get your answer, you convert to minutes. There are 3 minutes and the .2 converts to 12 seconds
First answer is brainiest
Explain you're answer even if its just a bit because I'm tired of people giving me random answers so I fail its annoying.
Answer:
D
Step-by-step explanation:
So you are looking for the inverse equation. The original can be written as y=1/2x-6. For the inverse, your variables switch places. It's reflecting across the line y=x (that's what the inverse does). So you write it as x=1/2y-6. Now solve for the new equation:
Move 6 over: x+6=1/2y
Isolate y: 2(x+6)=y
This gets you D.
Armon has a prepaid cell phone. This month he will like to purchase a $9 message package. The rate plan for the talk time is $0.10 per minute. Write an inequality for the maximum amount of talk time that Armon can purchase for his bill to stay under $45.
Pls show step-by-step! :)
find the sum
(−5x2+4x−2)+(−8x2+2x+1)
Answer:
3[tex]x^{2}[/tex] + 6x - 1
Step-by-step explanation:
(-5[tex]x^{2}[/tex] + 4x - 2) + ( 8[tex]x^{2}[/tex] + 2x + 1)
1.Remove parenthesis
-5[tex]x^{2}[/tex] + 4x - 2 + 8[tex]x^{2}[/tex] + 2x + 1
2. Combine like terms
3[tex]x^{2}[/tex] + 6x - 1
Answer:
I believe that he answer is -8x squared -x +3.
Step-by-step explanation:
Which statement is true about function f, which is shown in the graph?
f(x)=x^6+10x^4-11x^2
A circular lawn has a row of bricks around the edge. The diameter of the lawn is
about 40 feet.
Question 1
3 pts
Which is the best estimate for the amount of grass in the lawn?
125 feet
125 square feet
1,250 feet
1250 square feet
Answer:
Step-by-step explanation:
Answer:
Area of the grass in the circular lawn is 1250 square feet
Step-by-step explanation:
Lawn is in the shape of circle having radius = 20 feet
Area of the circular lawn will be represented by the formula,
Area = πr² [ Here 'r' = Radius of the circular lawn]
= (3.14)(20)²
= 3.14 × 400
= 1250 square feet
Therefore, area of the grass in the circular lawn will be 1250 square feet
Answer:
1250 square feet
Step-by-step explanation:
A = pie × radius^2
(GIVING BRAINLIEST AND EXTRA POINTS TO WHO HELPS ME!!)
Frankie buys six and twelve fifteenths pounds of cherries and four and four sixths pounds of grapes. How many pounds of fruit did she buy in total?
A) ten and forty two ninetieths pounds
B) ten and sixteen twenty firsts pounds
C) eleven and forty two ninetieths pounds
D) eleven and sixteen twenty firsts pounds
Answer:
11 7/15 (Not listed on paper!)
Step-by-step explanation:
6 12 /15 + 4 4 /6 =
(6 + 4) + ( 12 /15 + 4/ 6 )
= 10 + 12 × 2
15 × 2
+
4 × 5
6 × 5
= 10 +
24 /30
+
20 /30
= 10 +
24 + 20 /30
= 10 +
44 /30
= 10 +
44 ÷ 2
30 ÷ 2
= 10 +
22 /15
= 10 +
1 7 /15
=
11 7 /15
(Eleven and seven fifteenths)
[Sorry but all of the answers you gave are all wrong!]
Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).
Answer:
Following are the solution to this question:
Step-by-step explanation:
C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.
They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:
[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]
[tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]
t = 1990:
[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]
[tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]
the sum of four consecutive odd numbers is 48?
Answer:
The numbers are 9 + 11 + 13 + 15.
Step-by-step explanation: The equation for this is simple.
Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is 9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.
MADKING BRAINIEST!!Complete the following ratio table so that each pair represents the same rate.
Answer:
3=15
4=20
5=25
Step-by-step explanation:
bold are the answers
A sales manager analyzed the sales, in dollars, y, of beach products compared to the outside temperature, in Fahrenheit, x. The manager calculated the correlation coefficient of r = 0.75.
Which conclusion is most appropriate based on the correlation coefficient of the data?
There is a strong positive relationship, therefore as x increases, y increases.
There is a strong positive relationship, therefore as x increases, y decreases.
There is a weak positive relationship, therefore as x increases, y increases.
There is a weak positive relationship, therefore as x increases, y decreases.
Answer:
There is a strong positive relationship, therefore as x increases, y increases
Step-by-step explanation:
Number 12 thank you ASAP
Answer:
0
Step-by-step explanation:
A slope of a straight, horizontal line is 0 as it is not going up or down.
Answer:
B) 0
Step-by-step explanation:
When it is a straight horizontal line the slope is 0, and when it is a straight vertical line the slope is undefined.
y= ___ is slope of 0
x= ___ is slope of undefined
what is the slope (5,7) and (2,-2)
Answer:
slope = 3
Step-by-step explanation:
to find the slope you do (y2-y1)/(x2-x1)=m
so we can plug the points into this formula
(5,7) (2,-2)
x1 y1 x2 y2
-2-7/2-5=m
-9/-3=m
Simplifies to
3=m
45/43 as a percentage rounded to the nearest tenth?
Answer:
104.65116279%
Step-by-step explanation:
Answer:
104.7 % to the nearest tenth.
Step-by-step explanation:
Multiply the fraction by 100:
= (45*100)/43
= 104.651.
Which of the following angle pairs are alternate interior angles? Choose all that apply. (2 points)
A. Angles 1 and 4
B. Angles 8 and 6
C. Angles 5 and 6
D. Angles 2 and 3
E. Angles 8 and 7
F. Angles 3 and 6
Answer:
A. Angles 1 and 4
D. Angles 2 and 3
Step-by-step explanation:
Alternate interior angles are a pair of angles which alternate each other lying on either side of the transversal but within the two parallel lines that is cut across by the transversal.
In the diagram above, the following are alternate interior angles:
<1 and <4,
<2 and <3
Answer:
A and D
Step-by-step explanation:
Answer right and I’ll give you brainliest
Help ASAP WILL NSRK BRAINLIST IF CORRECT
Answer:
(1,1)
Step-by-step explanation:
The following is a conversion table for hours and minutes. Which numbers belong in the hours column?
1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6
Answer:
Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.
The complete table is given below. Then the correct option is C.
Hours Minutes
2 120 3 180 4 240What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The following is a conversion table for hours and minutes.
We know that in one hour, there are 60 minutes.
In two hours, there are 120 minutes.
In three hours, there are 180 minutes.
Similarly, in four hours, there are 240 minutes.
Then the complete table is given below.
Hours Minutes
2 120
3 180
4 240
Then the correct option is C.
The complete question is given below.
The following is a conversion table for hours and minutes. Which numbers belong in the hour's column?
Hours Minutes
120
180
240
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Eight boys and fifteen girls are in a classroom. What is the probability of choosing a boy or a girl from the
class?
Answer:
it would be 8 to 15
Step-by-step explanation:
you would write it as a fraction 8/15. then, you would try and simplify it. because you cant simplify 8/15 anymore, your answer would be 8/15! hope this helps :)
Fill in the blank to find the y-intercept.
(0,_____)
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
the y intercept is the point on the graph where the line crosses the x axis
A circular fountain has 132 feet of railing around it. What is the area of the fountain to the nearest square foot? Use 3.14 for π. *
Answer:
139
Step-by-step explanation:
First we need to find diameter 132/3.14=42 rounded
Then we halve it to find radius 42/2=21
Formula for area is radius x radius x 3.14
21 x 21 = 441 x 3.14 = 138.74 round up is 139
Answer:
18.8 feet, 59.1 feet to the nearest tenth
Step-by-step explanation:
The diameter is the line drawn that divides the circle into two while the circumference is the perimeter of the circle. Both are a measure of the radius of the circle.
The diameter D = 2r where r is the radius of the circle
The circumference = 2Πr = ΠD where Π = 22/7
Given that the circular fountain has a radius of 9.4 feet
Its diameter = 2 × 9.4 feet = 18.8 feet
The circumference = 22/7 × 18.8 feet
=59.09 feet
≈ 59.1 feet to the nearest tenth
25 yd
22 yd
The height is approximately
yards. (Round to the nearest tenth.)
Answer:
30 and 20
Step-by-step explanation:
pepper jackie has 7.5 bags of much to cover
Answer:
0.625 is equal to 5/8 bag,
Step-by-step explanation:
Answer:
Less Than 1 Bag
Step-by-step explanation:
I-Ready
Help me please and thank you
Completely factor the expression.
Answer:
x(8xsquare+6x-20)
Step-by-step explanation:
Answer:
[tex]x(2x+4)(4x-5)[/tex]
Step-by-step explanation:
[tex]x(8x^{2} +6x-20)\\x(2x+4)(4x-5)[/tex]
Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P
Answer:
A) 11/P + 6
Let Ben’s age now be B
Anita’s age now is A.
(A - 6) = P(B - 6)
But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B
please make as brainleylist
Each year for 3 years, the time it takes you to run a mile decreases by 10 seconds. Find the total change time
Answer: 109.5
Step-by-step explanation: EACH year for three years would be 1095 if you multiply 365 (each year) by 3 (the amount of years) and then divide that by 10. Im not entirely sure but I hope I helped
What is the value of p in the proportion below?
20/6 = p/12
O 2
O 10
O 40
O 72
Answer:
p = 40
Step-by-step explanation:
20/6 = p/12
Reduce the fraction on the left side.
10/3 = p/12
Cross multiply.
3p = 10 * 12
Divide both sides by 3.
p = 10 * 4
p = 40
Answer gets the crown
What does an algorithm have to do with processing?
Algorithms are a series of steps
Algorithms have nothing to do with processing
Algorithms are the steps that would be converted into a program that a computer could use to process information, changing it from input to an output.
Algorithms are the steps that would be converted into a program that a computer could use to process information, changing it from output to input.