factorise yf -cg - yg+ cf​

Answers

Answer 1

Answer:

(f-g) (y+c)

Step-by-step explanation:

yf -cg - yg+ cf​

Using factor by grouping,  y from the first group and c from the second group

yf  - yg+ cf​ -cg

y( f-g) +c(f-g)

Factor out (f-g)

(f-g) (y+c)


Related Questions

The length of a rectangle is five times its width. If the perimeter of the rectangle is 108 in, find its area.

Answers

Answer:

Step-by-step explanation:multiple 5 times 108 and that gives you your answer..

The above answer is correct

What must be true about the discriminant of this quadratic equation for the mentioned values of k? Assume p>0.

value of the discriminant k > 0
Options:
B^2 - 4ac= 0
B^2 - 4ac is greater than 0
B^2 - 4ac is less than 0

Answers

Answer:

Step-by-step explanation:b

No real roots. Roots will have imaginary numbers. This means the quadratic is either always above the axis, or always below.

One real root. The graph touches the  x -axis in one place.  →

Two real roots. The graph crosses the x -axis twice.

What is the length of the line?
WILL GIVE BRAINLIEST!!

Answers

Answer:

18

Step-by-step explanation:

6^2 plus 3^2 = 324, square root 324 =18

Answer:

[tex]\sqrt{45}[/tex]

Step-by-step explanation:

The line represents the hypotenuse of a right triangle with legs 6 and 3. For any right triangle, the Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Therefore, we have:

[tex]6^2+3^2=c^2,\\c^2=36+9,\\c=\boxed{\sqrt{45}}[/tex]

Given f (x) = 4x-3, g(x) = x^3 +2x
Find (f-g) (4)

Answers

Answer:

[tex](f-g)(4) = -59[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=4x-3\text{ and } g(x) = x^3 +2x[/tex]

And we want to find the value of:

[tex](f-g)(4)[/tex]

Recall that this is equivalent to:

[tex](f-g)(4) = f(4) - g(4)[/tex]

Find f(4):

[tex]f(4) = 4(4)-3 = 13[/tex]

And find g(4):

[tex]g(4) = (4)^3 + 2(4) =72[/tex]

Substitute:

[tex](f-g)(4) = (13)-(72)[/tex]

And subtract. Hence:

[tex](f-g)(4) = -59[/tex]

Step-by-step explanation:

I love this question!

So there are a couple different ways of solving this. You feel free to ignore whichever one makes less sense.

Subtracting First

The first option is taking f(x) and g(x) and subtracting them, then introducing the number.

The calculation:

f(x) - g(x)

Substitute.

4x - 3 - (x^3 + 2x)

Multiply out the negative.

4x - 3 - x^3 - 2x

Rewrite.

-x^3 + 4x - 2x - 3

Simplify.

-x^3 + 2x - 3

Then, replace x with 4.

-(4)^3 + 2(4) - 3

Simplify.

-64 + 8 - 3

Add.

-59

Making x = 4 first

Here, we'll do what's on the tin. Find f(4) and g(4), then subtract them.

f(x) = 4x - 3

f(4) = 4(4) - 3

f(4) = 16 - 3

f(4) = 13

Then find g(4):

g(x) = x^3 + 2x

g(4) = (4)^3 + 2(4)

g(4) = 64 + 8

g(4) = 72

Then, subtract these two:

f(4) - g(4) = 13 - 72

f(4) - g(4) = -59

Answer:

Either way, the answer is -59

Find the value of x on this triangle

Answers

Answer:

x = 35

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

x^2 + 12^2 = (x+2)^2

FOIL

x^2+144=x^2+4x+4

Subtract x^2 from each side

144= 4x+4

Subtract 4 from each side

140 = 4x

Divide by 4

35 =x

A police officer investigating a car accident finds a skid mark of 115 ft in length.

How fast was the car going when the driver hit the brakes?
Round your answer to the nearest mile per hour.

mph

Answers

Answer:

Speed of car = 49 mph (Approx.)

Step-by-step explanation:

Given:

Length of skid marked = 115 ft

Formula for skid mark = S = √21d

Where d = Length of skid marked

Find:

Speed of car

Computation:

Speed of car = √21d

Speed of car = √21(115)

Speed of car = √2,415

Speed of car = 49.1426

Speed of car = 49 mph (Approx.)

A life insurance company wants to estimate its annual payouts. Assume that the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 4 years. By what age have 80% of the plan participants passed away?

Answers

Answer:

By 71 years of age 80% of the plan participants have passed away.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 68 years and a standard deviation of 4 years.

This means that [tex]\mu = 68, \sigma = 4[/tex]

By what age have 80% of the plan participants passed away?

By the 80th percentile of ages, which is X when Z has a p-value of 0.8, so X when Z = 0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - 68}{4}[/tex]

[tex]X - 68 = 4*0.84[/tex]

[tex]X = 71[/tex]

By 71 years of age 80% of the plan participants have passed away.

What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?


k = –k equals negative StartFraction 3 Over 2 EndFraction.

k = –k equals StartFraction 2 Over 3 EndFraction.

k = k equals StartFraction 2 Over 3 EndFraction.

k = k equals StartFraction 3 Over 2 EndFraction.

Answers

Answer:

k = 2/-3

Step-by-step explanation:

y = kx

Point: (-3, 2)

2 = k(-3)

k = 2/-3

k = -0.6

Answer: k = 2/-3

Step-by-step explanation: Option (B)

Taking the test as we speak

Turn 1 1/5 to improper fraction

Answers

Answer:

6/5

Explanation:

Step 1

Multiply the denominator by the whole number

5 × 1 = 5

Step 2

Add the answer from Step 1 to the numerator

5 + 1 = 6

Step 3

Write answer from Step 2 over the denominator

6/5I hope this answer helps you out! Brainliest would be appreciated.

Find the product: 12 x 3/5 =

Answers

Answer:

12 x 3/5 = 7 1/5

Step-by-step explanation:

12 x 3/5

Add 1 below 12 as a denominator to make it an improper fraction

= 12/1 x 3/5

Multiply numerators from both fractions as long as the denominators:

12 x 3 = 36

1 x 5 = 5

12/1 x 3/5 = 36/5

36/5 SIMPLIFIED IS 7 1/5

Hope this helps!

Answer:

36/5 = 7.2 = 7 1/5

Step-by-step explanation:

12 x 3/5

Change 12 into fraction form to make it easier.

12/1 x 3/5

Now multiply the numerators and the denominators.

12 x 3 = 36

1 x 5 = 5

12/1 x 3/5 = 36/5

If you don't want the answer as an improper fraction, 36/5 = 7.2 which is also equal to 7 1/5

Find two numbers nearest to 8888888 which are exactly divisible by 2915 explain step by step​

Answers

Answer: 88,87,835 and 88,90,750.
Step-by-step explanation: 88,87,835 =2915*3049 , 8890750 = 2915*3050.

A noted psychic was tested for extrasensory perception. The psychic was presented with 200 cards face down and asked to determine if each card were one of five symbols: a star, a cross, a circle, a square, or three wavy lines. The psychic was correct in 50 cases. Let p represent the probability that the psychic correctly identifies the symbol on the card in a random trial. Assume the 200 trials can be treated as a simple random sample from the population of all guesses the psychic would make in his lifetime. How large a sample n would you need to estimate p with a margin of error of 0.01 with 95% confidence? Use the hypothesized value p = 0.20 as the value for p*.

Answers

Answer:

r3jehejn wbbwbwbbwmwkwkwjwjwhhejehehehhe

write the number 16, 107, 320 in expanded
form.

Answers

398383i4irujidifififif

List the sides of the triangle in order from largest to smallest.

Answers

translate it to english

A group consists of 5 men and 8 women. 4 people are selected to attend a conference.
a. In how many ways can 4 people be selected from this group of ​13?
b. In how many ways can 4 women be selected from the 8 ​women?
c. Find the probability that the selected group will consist of all women.

a. The number of ways to select 4 people from the group of 13 is ___.

b. The number of ways to select 4 women from the group of 8 women is ___.

c. The probability is ___.
​(Type an integer or a simplified​ fraction.)

Answers

Answer:

in four (4) ways 4 people can be selected

Given f (t )equals 3 minus 2 t squared. Find and simplify fraction numerator f (2 plus h )minus f (2 )over denominator h end fraction.

Answers

Answer:

ushshdbs the 7th century there where the gall bladder and merchants Bank Ltd bank in the 7th

Match each sequence below to statement that BEST fits it.

Z. The sequence converges to zero;
I. The sequence diverges to infinity;
F. The sequence has a finite non-zero limit;
D. The sequence diverges.

_______ 1. ns in (1/n)
_______2. ln(ln(ln(n)))
_______3. (ln(n))/n
_______4. n!/n^1000

Answers

Answer: hello your question is poorly written attached below is the complete question

answer:

1 ) =  I (

2) = F

3) = Z

4) = D

Step-by-step explanation:

attached below is the required solution.

1 ) =  I ( The sequence diverges to infinity )

2) = F ( The sequence has a finite non-zero limit )

3) = Z ( The sequence converges to zero )

4) = D ( The sequence diverges )

According to the number line, what is the distance between points A and B?
А
B
VX
- 16 - 14 -12 -10 -8 -6 4-2
0 2
4
6
8 10 12 14 16
U6 units
X 7 units
12 units
14 units

Answers

Answer:

Below!

Step-by-step explanation:

Please provide the two points (A & B) so I can help you out with the question or...

use the distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where the first point = [tex](x_1,y_1)[/tex] & the second point: [tex](x_2,y_2)[/tex]

PLEASE HELP


2/3x =10

Show your work in details if you can, I have a hard time understanding this.

Answers

[tex]\\ \sf\longmapsto \dfrac{2}{3}x=10[/tex]

[tex]\\ \sf\longmapsto \dfrac{2x}{3}=10[/tex]

[tex]\\ \sf\longmapsto 2x=3(10)[/tex]

[tex]\\ \sf\longmapsto 2x=30[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{30}{2}[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

[tex] \begin{cases}\large\bf{\red{ \implies}} \tt \frac{2}{3} x \: = \: 10 \\ \\ \large\bf{\red{ \implies}} \tt \frac{2x}{3} \: = \: 10 \\ \\ \large\bf{\red{ \implies}} \tt 2x \: = \: 3 \: \times \: 10 \\ \\ \large\bf{\red{ \implies}} \tt 2x \: = \: 30 \\ \\ \large\bf{\red{ \implies}} \tt \: x \: = \:\frac{ \cancel{30} \: \: ^{15} }{ \cancel{2}} \\ \\ \large\bf{\red{ \implies}} \tt \: x \: = \: 15 \end{cases}[/tex]

I have a final for summer schoollll due midnight and it’s 10:23!!!!!!!!!!!!

Answers

26 good luck n I hope you pass

Solve 3-(2x-5)<-4(x+2)

Answers

Answer:

Step-by-step explanation:

3-(2x-5)=-4(x+2)

We simplify the equation to the form, which is simple to understand

3-(2x-5)=-4(x+2)

Remove unnecessary parentheses

3-2x+5=-4*(x+2)

Reorder the terms in parentheses

3-2x+5=+(-4x-8)

Remove unnecessary parentheses

+3-2x+5=-4x-8

We move all terms containing x to the left and all other terms to the right.

-2x+4x=-8-3-5

We simplify left and right side of the equation.

+2x=-16

We divide both sides of the equation by 2 to get x.

x=-8

Answer:

x < - 8

Step-by-step explanation:

Given

3 - (2x - 5) < - 4(x + 2) ← distribute parenthesis on both sides

3 - 2x + 5 < - 4x - 8

- 2x + 8 < - 4x - 8 ( add 4x to both sides )

2x + 8 < - 8 ( subtract 8 from both sides )

2x < - 16 ( divide both sides by 2 )

x < - 8

1. A set is said to be a singleton set,ig






a) n (A)=1
b) n (A)=0​

Answers

The answer to the question is a

The two countries with the highest cocoa production are the
Ivory Coast and Ghana. The Ivory Coast produces three times the amount of cocoa
produced in Ghana. (Source: International Cocoa Organization) Express the
amount of cocoa produced in the Ivory Coast in terms of the amount of cocoa produced in Ghana.

Answers

Answer:

38 percent of the Cocoa is produced in the ivory coast, with thousands being produced in Ghana, so Ghana is the main production rate of the cocoa, with the ivory coast producing less than half.

Step-by-step explanation:

Hello people can you please help me on this I've been stuck on it for like 30 minuets now

Answers

Answer:

Step 1:  Complete the first equation

0.01 is a hundredth, therefore if we have 1.86 then we have 186 hundredths.

Step 2:  Complete the second equation

1.86 / 2 = 0.93

0.01 is a hundredth, therefore if we have 0.93 then we have 93 hundredths.

Step 3:  Complete the third equation

1.86 / 2 = 0.93

Complete the statement. A critical value is​ _____________. Choose the correct answer below. A. A critical value is how far away our sample statistic can be from the true population parameter with a certain level of confidence. B. A critical value is the probability of obtaining a sample statistic like the one obtained from the sample or something more unusual if the null hypothesis is true. C. A critical value is the number of standard errors​ (or standard​ deviations) to move from the mean of a sampling distribution to correspond to a specified level of confidence. D. A critical value is the value that best estimates a population parameter.

Answers

Answer:

A. A critical value is how far away our sample statistic can be from the true population parameter with a certain level of confidence.

Step-by-step explanation:

Test of a hypothesis:

When we are testing a hypothesis, we have a null hypothesis and an alternative hypothesis, and the conclusion depends on the test statistic, given by:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

The test statistic measures the number of standard errors that we have to move away from the sample mean, and the critical value is how much we can be far from the population parameter with a certain level of confidence, that is, before a certain value we do not reject the null hypothesis, after the value we reject, and this value is the critical value, and thus the correct answer is given by option a.

Roulette is a casino game that involves spinning a ball on a wheel that is marked numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on a green space​

Answers

Answer:

1/19

Step-by-step explanation:

There are a total of 36+2 = 38 spaces

2 are green

P(green) = green / total

             = 2/38

            =1/19

            .052631579

 

If the price of a stapler increase from Rs 50 to Rs 54, find the percentage increase?

Answers

Hope this helps have a nice day
We can use proportions to solve this. We need to subtract 54 from 50. This gives us 4. Therefore, our fraction can be 4/50. Then, our next fraction is x/100. We can cross multiply 4*100 is 400. 400/50 is 8. The percentage increase is 8.

Help me! Thanks!!!!!!

Answers

Answer:

there are infinite solutions

Step-by-step explanation:

if you add y-3 to both sides of the first equation, you will see that it is equal to the second equation, so they are the same line. Therefore, there are infinite solutions to this system

Find the equation of the line that is parallel to f(x) and goes through point (-1,7).

Answers

Answer:

y=(3/7)*x+52/7

Step-by-step explanation:

The slope of the line will be (3/7). The equation of line will be y=(3/7)*x+52/7

Approximately how many times greater is
7.4 x 10^8
than
2.5 x 10^7
0.3
3
30
300

Answers

Answer:

30

Step-by-step explanation:

To compare the numbers, divide the first number by the second number.

(7.4 x 10^8)/(2.5 x 10^7) = (74 x 10^7)/(2.5 x 10^7) = 74/2.5 = 29.6

Answer: 30

7.4 x 10^8= 740000000
2.5 x 10^7: 25000000

Answers If You Use The Other Numbers
x0.3= 7500000
x3= 75000000
x30= 750000000
x300= 7500000000

Answer: Not Possible

If You Did 7.5 x 10^8 it will make more sense but you didn’t so the answer is unspecified.
Other Questions
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