expressions are shown below

Step-by-step explanation:

Factorise completely

a 6x2 + 18x

Common factors

6x(x+3)

b 8y3 – 2y4

2y^3(4-y)

c 16xy – 8xy?

8xy(2-1)

8xy

8 Expand and simplify

a 4(x + 3) + 7(x - 1)

4x+12+7x-7

11x+5

b x(x – 6) – x(4x – 2)

x^2-6x-4x^2+2x

-3x^2-4x

-x(3x+4)

C x(3x2 + 4) + 2x(5x2 + 9)

3x^3+4x+10x^3+18x

13x^3+22x

x(13^2+22)

Answer:

measurement square meter

Step-by-step explanation:

thats good answer

sana po makatulong po sa inyo

po....................

Answer:

-6

Step-by-step explanation:

Answer:

He practicably stole her money

Step-by-step explanation:

that scu m bag

Answer:

Step-by-step explanation:

If Oliver just played the game he has $0 dollars but in terms of debt, he has -$4.

Answer:

90°

Step-by-step explanation:

Hi!

I forgot the theorems exact name but it's something like "radius to a line that is tangent to the circle is always perpendicular to the tangent line" and perpendiular means 90°

Answer:

[tex]\displaystyle m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-5, 0)

Point (-9, -8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

nolo se

Step-by-step explanation:

Answer:

45%

Step-by-step explanation:

Given data

Last year, the company sold a total of 5,340 ovens

This year, they sold 7,743 ovens

Percent increase=   final-initial/initial*100

substitute

Percent increase=  7,743-5,340/5,340*100

Percent increase= 2403/5,340*100

Percent increase=0.45*100

Percent increase=45%

Hence the increase is 45%

Answer: the answer is circle

Step-by-step explanation: hope that helped

Answer:

Step-by-step explanation:

Cubic centimeters is multiplying by another dimension which means volume. Squared centimeters means area.

Answer:

The answer is C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

if you see where the red line ends on the right side it is at 170 on the protractor

Answer:

x = 125.44

Step-by-step explanation:

you multiply both side by 7

so 7 • 17.92 = 7 • x/7

125.44 = x

Answer:

x = 125.44

Step-by-step explanation:

multiply each side of the equation by 7

17.92(7) = [tex]\frac{x}{7}[/tex](7)

125.44 = 7x / 7

7x / 7 = 1x or x

x = 125.44

Using the hypergeometric distribution, it is found that the probability is 12/132

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The rolls are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.

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Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

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What is the probability of selecting two defective rolls?

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,12,2,4) = \frac{C_{4,2}*C_{8,0}}{C_{12,2}} = \frac{4 \times 3}{12 \times 11} = \frac{12}{132}[/tex]

12/132 is the probability.

A similar problem is found at https://brainly.com/question/24229905

Answer:

172000

Step-by-step explanation:

Population growth from  2010 to 2015 if population increased by 8% =

1.08 x 168,000. = 181440

Population growth from  2015 to 2020 if population decreased by 5% =

0.95 x 181440 = 172,368

Rounding off to the nearest 100 people = 172,000

The population in the year 2020 is 172,368.

Since

In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 5%.

So,

[tex]= 168000 \times 1.08 \times 0.95[/tex]

= 172,368

hence, The population in the year 2020 is 172,368.

Learn more about population here: https://brainly.com/question/13977748

Answer:

explanation below

Step-by-step explanation:

if sum of any 2 sides length is greater than the third side and not take rotation transformation into account, only 1 triangle can be formed.

Answer:

Step-by-step explanation:

ODYSSEY

Answer: [tex]\dfrac{5}{14}[/tex]

Step-by-step explanation:

Given: An urn contains 3 red and 5 orange marbles.

Total marbles = 3+5=8

Probability of getting orange marble = [tex]\dfrac{\text{Number of orange marble}}{\text{Total}}[/tex]

[tex]=\dfrac{5}{8}[/tex]

Now marbles left = 7

Orange marbles left = 4

and Probability of getting orange marble = [tex]\dfrac47[/tex]

The probability that the second marble selected is orange given that the first marble selected is orange[tex]=\dfrac58\times\dfrac47=\dfrac{5}{2}\times\dfrac17=\dfrac{5}{14}[/tex]

Required probability= [tex]\dfrac{5}{14}[/tex]

Answer:

21 ounces

Step-by-step explanation:

Answer:

15 ounces

Step-by-step explanation:

we know that the whole is 30  we know that Alex 1/10 and glen has 2/5 we dont know wht left over :: 1/10 + 2/5 = 1/10 + : 4/10 = 5/10 so 1 - 5/10 = 5/10

We need to find how many ounces of clay are left. Which equation can we use to find how many ounces are in 5/10

of the whole bucket?    5/10 x 30  and 5x 30 10

15 onces

Answer:

the answer is 3r + 2b

Step-by-step explanation:

because they are two completely different terms, they need to have both same terms like: 2r + 3r= 5r, you can do that because they are like terms, Let me know if I'm right

Answer:

4/24

Step-by-step explanation:

Answer:

The Answer is B

Step-by-step explanation:

All the numbers and coefficients in option B correspond with the ones in the question. Hope this helps :)

Answer:

A root or zero of a function is a number that, when plugged in for the variable, makes the function equal to zero. Thus, the roots of a polynomial P ( x ) are values of x such that P ( x ) = 0 . The Rational Zeros Theorem

Step-by-step explanation:

Answer:

-40 your welcome

Step-by-step explanation:

Answer:

[tex]E =[/tex] [tex](-3,3)[/tex]

Step-by-step explanation:

Given

Parallelogram: DEFG

[tex]D(x_1,y_1) = (-2,-4)[/tex]

[tex]F(x_3,y_3) = (0,7)[/tex]

[tex]G(x_3,y_4) = (1,0)[/tex]

Required

Find the coordinates of [tex]E(x_2,y_2)[/tex]

To do this, we make use of mid-point formula which is:

[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]

This gives:

[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

Multiply through by 2

[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]

[tex](-2,3) = (x_2+1,y_2+0)[/tex]

[tex](-2,3) = (x_2+1,y_2)[/tex]

By comparison:

[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]

So, we have:

[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]

[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]

This gives:

[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]

Hence, the 4th coordinate is: [tex](-3,3)[/tex]

Answer:

Amount invested at 8% rate of interest = $11000

Amount invested at 9% rate of interest = $9000

Step-by-step explanation:

Let Amy invested amount in a account with 8% simple interest = $a

Then the interest gained after one year = [tex]\frac{\text{Principal amount}\times \text{Rate of interest}\times \text{Time}}{100}[/tex]

                                                                  = [tex]\frac{a\times 8\times 1}{100}[/tex]

                                                                  = 0.08a

Remaining amount for the investment = $(20000 - a)

Interest earned after one year with rate of interest 9%

= [tex]\frac{(20000-a)\times 9\times 1}{100}[/tex]

= $(1800 - 0.09a)

Total interest earned after 1 year = $1690

0.08a + (1800 - 0.09a) = 1690

1800 - 0.01a = 1690

0.01a = 110

a = $11000

Amount invested at 8% rate of interest = $11000

Amount invested at 9% rate of interest = $(20000 - 11000) = $9000

Answer:

answer is 8.5

Step-by-step explanation:

Answer: $20.35 on gallons of gas and $25.2 on cans of oil

Answer:

Monomial

Step-by-step explanation:

Monomial is only one value therefore the following value is a monomial.

[tex]-9x^2y^5[/tex]

Answer:

Step-by-step explanation:

Surface area = 2 * 11 * 7 +  7*12 +  2*12 *11

                     = 154 + 84 + 264

                      = 502 ft²

Answer:

x<-9

Step-by-step explanation:

Answer:

x<-9

Step-by-step explanation:

divide both sides by -2, get x and -9

when dividing by negatives, flip the inequality