Factorise the expressions.​

Factorise The Expressions.

Answers

Answer 1

Answer:

7 ([tex]y^{2}[/tex] + 6[tex]Z^{2}[/tex])

3a (x - 2y) - 4b(2y - x)

pq(p - 1) - [tex]r^{2}[/tex]( p - 1)

Step-by-step explanation:

Answer 2

(ii) 7y^2+35Z^2

=7(y^2+5Z^2)

(v) 3ax-6ay-8by+4bx

=x(3a+4b)-2y(3a+4b)

=(3a+4b)(x-2y)

viii)p^2q-pr^2-pq+r^2

=pq(p-1)-r^2(p-1)

=(p-1)(pq-r^2)


Related Questions

Someone helllppppppppppoppppoop

Answers

Answer:

The answer is 2..............

The scale on a map reads 2 inches = 125 miles.
If two cities are 4 inches apart on the map.
what is their actual distance?

Answers

Answer:

500 miles

Step-by-step Explanation:

We are told that

1 inch = 125 miles meaning if the distance between two points on the map is 1l inch, then it's 125 miles in real life. However, the map distance between the two cities is 4

inches, therefore it is 4 inches

×

125 miles

1 inch

=

500 miles

absolute value of -93​

Answers

The absolute value will be the positive version of the number
absolute value of -93 will be 93

Answer:

93

Step-by-step explanation:

The absolute value is just how far from away from zero a number is.

how many people in the town of summit have jobs if there are 9,255 people in the town and 1/3 of them are employed? simplify the fraction if possible ​

Answers

Answer:

divide 9,255 divide 1/3 and you will get your answer hope this helps :)))

Step-by-step explanation:

In the town of Summit, 3,085 people have jobs. If there are 9,255 people in the town and 1/3 of them are employed.

To find the number of people in the town of Summit who have jobs, we can multiply the total population by the fraction representing the employed individuals.

Total population = 9,255 people

Fraction employed = 1/3

Number of people employed = Total population * Fraction employed

Number of people employed = 9,255 * (1/3)

To simplify the fraction (1/3), we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case.

Dividing 1 and 3 by 1, we get:

1/1 = 1

3/1 = 3

So, the simplified fraction is 1/3.

Continuing the calculation:

Number of people employed = 9,255 * (1/3)

Number of people employed = 9,255 / 3

Number of people employed = 3,085

Therefore, in the town of Summit, 3,085 people have jobs.

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The Mean Corporation would like to invest in the booming health food industry. It is considering the creation of a health-drink franchise called Goose Juice. The investment department of the Mean Corporation wants to investigate the feasibility of this venture by examining the profits of similar franchises. It believes that the venture will be feasible if an average annual profit of more than $85,000 can be expected from each Goose Juice that is opened. It is known that the annual profits earned by health-drink franchises has a population standard deviation of $8,700.

The Mean Corporation's statisticians would like to construct a hypothesis test for the population mean annual profit earned by health-drink franchises. A random sample of 50 franchises was chosen and their annual profit for the previous financial year was recorded. The mean annual profit for the sample was calculated as $82,441.

The hypotheses that were used by the statisticians were

Null hypothesis: population mean = 81,000, Alternative hypothesis: population mean > 81,000 and the test statistic was found to be 1.29 (to 2 decimal places).

Required:
Calculate the p-value for this test, giving your answer as a decimal to 4 decimal places.

Answers

Answer:

The p-value is approximately 0.9015  

Step-by-step explanation:

The statistic parameters are;

The population mean, μ₀ = $85,000

The population standard deviation, σ = $8,700

The size of the sample, n = 50

The sample mean annual profit, [tex]\bar x[/tex] = $82,441

The null hypothesis, H₀: μ = 81,000

The alternative hypothesis, Hₐ: μ > 81,000

Given that n > 30, a z-test is used

The test statistic ≈ 1.29

Therefore, we have;

[tex]z=\dfrac{\bar{x}-\mu_0 }{\dfrac{\sigma }{\sqrt{n}}} = 1.29[/tex]

From the z-score, the p value for a test statistic of 1.29 = 0.90147 which is 0.9015 after rounding up to 4 decimal places

Find y if the line through (5, 2) and (7, y) has a slope of 4.

Y=___

Answers

Answer:

5

Step-by-step explanation:

help me with this please!!! :)

Answers

Answer:

C. 4x-4

Step-by-step explanation:

If you divide by 4 on the left side you get...

16x/4 - 16/4

4x - 4

We are dividing by 4 because it was factored out of the expression.

factor (5a–3b)^2–25a^2 PLS HELP 50 POINTS

Answers

Answer:

(-3b) (10a -3b)

Step-by-step explanation:

(5a–3b)^2–25a^2

Replace (5a–3b) with x

x^2 - (5a) ^2

We have the difference of squares

( x-5a) (x+5a)

Now replace x with (5a -3b)

(5a -3b -5a) ( 5a -3b +5a)

Combine like terms

(-3b) (10a -3b)

Answer:

(5a-3b)²-25a²

= 25a²+9b²-2×5a×3b-25a { (a-b)²= a²+b²-2ab}

=9b²-30ab

=3b(3b-10a)

= -3b(10a-3b)

Ans

Hope, it helped!

Jessie started a record collection with 8 records. Each week he added 3 records to his collection. Riley started her record collection with 23 records. Each week she gave away 2 records.

a) Write an equation to represent the number of records in Jessie's collection based on the number of weeks he has been collecting records.

Answers

3 per week + blank=8              Step-by-step explanation: brainly plz

What is the simple interest rate on a $2300 investment paying $906.20 interest in 19.7 years?

Answers

Answer:

2%

Step-by-step explanation:

Given data

Principal=$2300

Simple interest=$906.20

Time= 19.7years

Required

The rate in percentage

We know that

SI=PRT/100

substitute

906.20=2300*R*19.7/100

906.20=45310R/100

cross multiply

906.20*100= 45310R

90620= 45310R

R= 90620/45310

R=2%

Hence the rate is 2%

Please help! question is in the picture!

Answers

9514 1404 393

Answer:

  (5, 1) or maybe (h, k)

Step-by-step explanation:

The given form has no letters other than the variable. The vertex in this vertex-form equation can be read from the expression as (5, 1).

In the generic vertex form ...

  f(x) = a(x -h)² +k

the letters (h, k) are used to represent the vertex.

__

You would need to consult your curriculum materials to see what letters your author uses for the vertex in vertex form.

solve this question in this question you have to solve 46 + 49 -24 ​

Answers

Answer:

71

Step-by-step explanation:

46 + 49 = 95

95 - 24 = 71

71 is correct but don’t forget to do pemdas so you won’t get them wrong

Which is an odd monomial function?
O
y = 2x3
1
ya
O y=5x
O y = 3

Answers

Answer:

y=5x

Step-by-step explanation:

because it has only one term which is called monomial.

thank you

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded annually, how much total interest will she earn in 10 years?

Answers

If you use the formula you would get $3992.77 in 10 years

square root of 320 rounded to the nearest tenth

Answers

Answer: 17.9

Step-by-step explanation:

A package of gift cards has a length of
8 inches, a width of 4 inches and a
volume of 64 inches cubed. What is
the height of the box?
A) 6
B) 8.
C) 4
D) 2.
D) 2.
8x4=32
64/32=2

Answers

Answer:

8x(4) = 64

8x = 16

h = 2 inches

Determine the roots of the following function of the quadratic formula:
x^2-5x-4=0

Answers

Answer:

4,1

Step-by-step explanation:

(x-4)(x-1)

x=4 or x=1

The answer is 4,1
-------------------------11

The addition property inequality states that

Answers

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation

Hope this helps!

Express as a difference: a+5

Answers

Ax5 a➗5 and a-5

................

The expression expressed as a difference is (a - 2) - (-7).

We have,

We can express a + 5 as a difference by subtracting a suitable term from it.

One way to do this is to subtract 2 and add 2, like this:

a + 5 = a + 5 - 2 + 2   (adding and subtracting 2)

     = (a - 2) + 7     (rearranging)

Now,

We can express a + 5 as the difference between a - 2 and -7, like this:

a + 5 = (a - 2) - (-7)

Thus,

The expression expressed as a difference is (a - 2) - (-7).

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Suppose that the effects of copper on a second species (say, species B) of fish show the variance of ln(LC50) measurements to be .8. If the population means of ln(LC50) for the two species are equal, find the probability that, with random samples of ten measurements from each species, the sample mean for species A exceeds the sample mean for species B by at least 1 unit.

Answers

Answer:

Hello the reference related to your question is missing attached below is the reference

answer : p ( x - y ≥ 1 ) = 0.0019

Step-by-step explanation:

Assuming 'X' and 'Y' are independent random samples

X : mean value = [tex]U_{1}[/tex] , variance = 0.4 /10 = 0.04

Y : mean value = [tex]U_{2}[/tex] , variance = 0.8/10 = 0.08

since the values are independent

V [ X - Y ] = V [ X ] + V [Y ] = 0.04 + 0.08 = 0.12

Determine the probability that the sample mean for species A exceeds the sample mean for species B by at least 1 unit

P ( x - y ≥ 1 ) = 0.0019

attached below is the detailed solution

Which of the following rational functions is graphed below?
O A. F(X) =
2x
x(x - 2)
B. F(x) =
1
x(x - 2)
C. Fix) =
1
x(x - 2)
D. F(x) =
x + 1
(x + 2)(x +0)

Answers

Answer:

Huh? I'm not sure what you're asking try C

Answer:

B. f(x) = 1/x(x - 2)

Step-by-step explanation:

The graphed function has two vertical asymptotes.

The functions A and D have degree 1 on the numerator and degree 2 on the denominator, so finally having degree 1, have one vertical asymptote, therefore discounted.

We are left with B and C.

Function B has vertical asymptotes 0 and -2.

This is matching the graph, correct

Function C has vertical asymptotes 0 and 2

This is not matching the graph, incorrect

See the attached to confirm

Why do you think adding and subtracting polynomial expressions is like adding and subtracting
expressions?

Answers

Answer:

Polynomials are closed under addition and subtraction, which is fancy mathspeak that means that whenever we add or subtract two polynomials, we always get another polynomial. In that way, they behave a lot like the numbers you're probably already familiar with. Adding and subtracting:

Two integers gives you another integerTwo rational numbers gives you another rational numberTwo real numbers gives you another real number

And it works the same with polynomials!

Which of these is an example of a literal equation?
A. ax - by = k
B. 8 - 2x = 14
C. 5x + 9y
D.4 + 12 = 42

Answers

Among the given equation, (ax - by = k) is the example of a literal equation.

What is a literal equation?

"A literal equation is an equation which consists primarily of letters. Formulas are an example of literal equations.

Given equations are:

A. ax - by = k: is a literal equation as per definition.

B. 8 - 2x = 14: is not a literal equation. It is a linear equation with variable 'x'.

C. 5x + 9y: it is not an equation.

D.4 + 12 = 42: it is not an equation.

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Ms. Reiger’s students found a total of 16 bird feathers. The line plot shows the lengths, in inches, of the bird feathers found by the students
Look at the line plot, and then select the two correct statements about the bird feathers.
The difference between the lengths of the shortest feather and the longest feather is 318 inches.
A. The difference between the lengths of the shortest feather and the longest feather is 238 inches.
B. The combined length of the two longest feathers is 828 inches.
C. The combined length of the shortest feather and the longest feather is 738 inches.
D. The combined length of the shortest feather and the longest feather is 618 inches.

Answers

Answer:

i need the picture to answer the question, sorry. but if you give me the picture im happy to answer it

Step-by-step explanation:

An Olympic swimmer competes in the same events during each long course swim season. A swimmer currently
competing on the United States Women's Olympic Swim Team, will swim her best events each year with the hope of
continuous Improvement. The following table is a record of the swimmer's best times for the 100 meter freestyle event,
measured In long course meters.
Long Course Recorded
Season Best Time
2005 2:33.42
2006
2:24.81
2007
2:10.93
2008
2:03.45
2009
1:58.67
2010
1:59.17
1:55.06
2011
2012
1:55.82
2013
1:54.81
2014
2:00.03
1. Create a scatter plot representing the data displayed in the table.
2. Use the scatter plot to determine whether there is positive, negative or no correlation between the data values.
3. Write a conclusion statement regarding the data and the rate of change present in the line of best fit. Do not actually
calculate the slope or write the equation for the line of best fit.

Please help me
Will give brainly
Just give me the answer to 2 and 3
I already have 1
I just need 2 and 3
Please and thank you
Please answer this

Answers

Answer: Equation for the line of best fit is given by f(x)=-4.28402x+0.0875

Step-by-step explanation: like what you just put in your picture

Long Course Season Recorded Best time

2005 2:33.42

2006 2:24.81

2007 2:10.93

2008 2:03.45

2009 1:58.67

2010 1:59.17

2011 1:55.06

2012 1:55.82

2013 1:54.81

2014 2:00.03

-Since we can see from the scatter plot that it has negative correlation.

Equation for the line of best fit is given by f(x)=-4.28402x+0.0875

- This is what I can give you I see some people do this work before and when I see it I just take note and I think it was the answer...

- Hope this help :)

Name this net pattern.

Answers

Answer:

triangular pyramid

Step-by-step explanation:

Tara has a large box of treats that weighs 9.0 pounds. She uses the large box of dog treats to make smaller bags, each containing 0.6 pound of treats. How many smaller bags of dog treats can Tara make?

Answers

Answer:

Step-by-step explanation:

So, she has a box of treats that weighs 9.0 pounds.

She's using those treats to make smaller bags, each having 0.6 pounds of treats.

How many smaller bags can she make?

Please help with this math question!
Find the area . I'm begging

Answers

Answer:

274.05 (I assume they round it to A. 274.1)

Step-by-step explanation:

The figure seems to be comprised of 7 triangles, each of base 8.7 and height 9.

total area would be

7 * (8.7 * 9 / 2) = 7 * 39.15 = 274.05

find the measure of angle a.

Answers

Answer:

<A=50

Step-by-step explanation:

85+x+55+x+50=180

2x+190=180

2x=180-190

2x=-10

x=-5

A=x+55

A=-5+55

A=50

A< 50 because i said so

The time it takes to charge the battery of a cell phone is directly proportional to the charge of the battery.
The equation, y = 0.21x, is used to approximate the time it takes to charge the battery of a cell phone.
Cell Phone Battery Charge
100
70
60
Bettery Charge (%)
SON
40
BO
20
NON
Time (AM)
Approximate how long it will take the battery to charge to 100%.
4 hours
7 hours
6 hours
5 hours
Please help me

Answers

12.1+0.21x=100.23
That is the answer
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