Answer:
The quotient of forty-two and six is seven.
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]
Answer right and I’ll give you brainliest
PLEASE HELP!! GEOMETRY!!
=685.67Step-by-step explanation:
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! :)
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 :)
Help ASAP WILL NSRK BRAINLIST IF CORRECT
Answer:
(1,1)
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
4(3x + 2) = 4(2x + 3) + 4x
Answer:
x = -4
Step-by-step explanation:
4(3x + 2) = 4(2x + 3) + 4x (distribute the 4's on both sides)
12x + 8 = 8x + 12 + 4x (collect like terms)
12x + 8 = 13x + 12 (subtract 12x on both sides)
8 = x + 12 (subtract 12 on both sides)
-4 = x
Hope this helps ya!
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
(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!]
Which of the following graphs shows the set of points that represents the number of hours that Leah
can work in order to earn at least $120 and not work more than 20 hours per month?
Answer:
I think it’s A,C, and E
Step-by-step explanation:
I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .
let f(x) = x^4 -4x^2 +3x find f(-3) a.-54 b.36 c.-126 d.108
Answer:
b. 36
Step-by-step explanation:
Evaluate x^4 - 4 x^2 + 3 x where x = -3:
x^4 - 4 x^2 + 3 x = (-3)^4 - 4×(-3)^2 - 3×3
Hint: | Evaluate (-3)^2.
(-3)^2 = 9:
(-3)^4 - 49 - 3×3
Hint: | Determine the sign of (-3)^4.
(-3)^4 = (-1)^4×3^4 = 1×3^4:
3^4 - 4×9 - 3×3
Hint: | Compute 3^4 by repeated squaring.
3^4 = (3^2)^2:
(3^2)^2 - 4×9 - 3×3
Hint: | Evaluate 3^2.
3^2 = 9:
9^2 - 4×9 - 3×3
Hint: | Evaluate 9^2.
9^2 = 81:
81 - 4×9 - 3×3
Hint: | Multiply -4 and 9 together.
-4×9 = -36:
81 + -36 - 3×3
Hint: | Multiply 3 and -3 together.
3 (-3) = -9:
81 - 36 + -9
Hint: | Group the negative terms in 81 - 36 - 9 together and factor out the minus sign.
81 - 36 - 9 = 81 - (36 + 9):
81 - (36 + 9)
Hint: | Evaluate 36 + 9 using long addition.
| 1 |
| 3 | 6
+ | | 9
| 4 | 5:
81 - 45
Hint: | Subtract 45 from 81.
| 7 | 11
| 8 | 1
- | 4 | 5
| 3 | 6:
Answer: 36
Find the LCD of the two fractions 1/6 and 1/5
A. 6
B. 5
C. 30
D. 11
Answer:
C. 30 is the correct answer.
Step-by-step explanation:
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
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
Help me out plz. Struggling :( 5 and 4
Answer:
#5 = $676.40
#6 = $522.50
Step-by-step explanation:
Lets start with number 5.
Marla earns $17.80 per hour. If she works 38 hours a week she will earn $(17.80*38) per week which is $676.40 per week
Now for number 6
He earns $11.00 an hour for a 40 hour work week. If he gets paid 1.5 that (1.5 his normal rate) for overtime and he has 45 hours vs his 40 hours, heres how we solve:
Solve for his pay on a normal week:
11 * 40 = 440 a week on a normal week
Find out how much overtime
45-40 = 5 hours
Calculate the pay for the overtime
(11*1.5) x 5 =
16.50 x 5 = 82.5
Add the two pays together
440 + 82.50 = $522.50
also #4 is not provided to me to solve so if you want it solved update this question to include it
Hope this helps :)
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
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
PLEASE YALL I need HELP ASAP PLEASE PLEASE PLEASE I WILL MARK YOU AS BRANLIEST IF CORRECT
White an equation in slope intercept form whose slope is 10 and y intercept is -3.
Answer:
y = 10x - 3
Step-by-step explanation:
Answer:
f(x)=10x+-3
f(x)=mx +b
m= slope
b= y intercept
Step-by-step explanation:
Find the simplified product 5/n+1 x n+1/n+3
Answer: C) 5/n+3
Step-by-step explanation:
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:
What is i2=-1 math test
Answer:
Your answer is: ↓
If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]
If you are trying to figure if that equation is determined T/F: The answer is T.
If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]
Step-by-step explanation:
Hope this helped : )
A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle. The shortest side of the other triangle has length 3 inches. What is the perimeter, in inches, of the smaller triangle?
Perimeter = 9.5
Perimeter = 10.6
Perimeter = 15.2
Perimeter = 17.4
Answer:
wo similar figures have a ratio of 3:5. If 1 side of the smaller figure is 9 ... 12 in. What is the length of LM? x. = 12. 24. A. 13 in. C. 16 in. A. 10 ft. B. 14.4 ft ... How long is the corresponding side of the larger polygon? A. 18 cm. B. 24 cm ... 2. 10. An equilateral triangle has side lengths of 14 inches. Find the altitude of the
Step-by-step explanation:
The perimeter of the smaller triangle will be 17.4. Then the correct option is D.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle.
The shortest side of the other triangle has a length of 3 inches.
Then the perimeter of the smaller triangle will be
Let the other two sides of the smaller triangle be x and y. Then we have
3/10 = x/18 = y/30
From the first two terms, we have
3/10 = x/18
x = 5.4 inches
Then from the first and third terms, we have
y/30 = 3/10
y = 9
Then the perimeter of the triangle will be
P = 3 + 5.4 + 9
P = 17.4 inches
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
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]
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]
what is the remainder of 58,511 divided by 21, the quotient is 2,786 R
Answer:
the remainder is 5. 2,786 R 5
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
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
Write a equation
3. slope = 5, goes through the point (2,7)
Answer:
y=5x-3
Step-by-step explanation:
Slope intercept form is y=mx+b and you know the slope so you can get y=5x+b
Then you are given a point, (2, 7), so you can plug that into the equation to find the y-intercept
7=5(2)+b
Then you just solve for b
7=10+b
-10
-3=b
So the final equation is y=5x-3
The required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3
The standard equation of the line using the point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is the point on the line
Given the following parameters
m = 5
(x0, y0) = (2, 7)
Substitute the given expressions into the formula as shown:
y - 7 = 5(x-2)
y - 7 = 5x - 10
y - 5x = -10 + 7
y - 5x = -3
Hence the required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3
Learn more here: https://brainly.com/question/17003809
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.