What is factoring?
Show us an example of factoring when a=1
Show a second example when a does not equal 1.

Answer:

143

Step-by-step explanation:

Answer: it is red

Step-by-step explanation:

With an increase in temperature, the particles move faster as they gain kinetic energy

Answer:

y = 4

Step-by-step explanation:

distribute

10 + 2y = 18

minus 10 from both sides

2y = 8

divide by 2

y = 4

Answer: y=4

Step-by-step explanation:

2(5+y)=18

youre going to start by distributing the 2 to (5+y)

10+2y=18

then subract 10 from 18

2y=8

and then divide 2 on both sides

y=4

Correct.

9/5c+32

substitute c to 5

multiply 9/5 to 5

then add 32

Done

Answer:

the answer is C. y=3x-4

Step-by-step explanation:

the slope can be found by taking two points and putting them in this equation:

[tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]

so using the first two points, the equation would be

[tex]\frac{2-(-1) }{2-1}[/tex]

giving you 3 for the slope

the y-intercept (where x=0) is found by subtracting 3 from -1 which is -4.

Answer:

d

Step-by-step explanation:

i think so

Answer:

Step-by-step explanation:

6758

Must round 6757.62 to nearest whole

Answer:

80

Step-by-step explanation:

Just use 2,400 / 30 to solve. The answer should be 80:

Therefore, 2,400 / 80 = 30

Hope this helps :)

Answer:

Polly has 10 yo-yos.

Step-by-step explanation:

Since Eureka has 20 yo-yos, and has twice as many yo-yos as Polly, to determine the number of yo-yos that Polly has it is necessary to perform the following equation:

Polly's Yo-yos = X

Eureka's Yo-yos = 2X

20 = 2X

20/2 = X

10 = X

Therefore, Polly has 10 Yo-yos, half the number Eureka has.

Answer:

10

Step-by-step explanation:

Answer:

chocolate= 180 students

vanilla= 120

strawberry= 210

mango= 210

Step-by-step explanation:

The chocolate section of the pie chart is at a right angle (90 degrees), which means a quarter of the students prefer chocolate

720/4= 180

The vanilla section is 60 degrees which is 2/3 of 90

180/3=60

60x2=120

the mango and strawberry sections represent whats left which is 420 students. The sections are equal to each other so they're each 210 students

Answer:

first one is 3/12 and second one is8/ 12

Answer:

6 hours

Step-by-step explanation:

she played game 25% of the time.

25% of 30 hours is 7.5 hours

she researched 5% of the time.

5% of 30 hours is 1.5 hours

so she played game 7.5-1.5=6 more hours than she researched

Answer:

12/ x^2+7x

Step-by-step explanation: Took the test and got it right

The product of the expression 3/(x+7) and 4/x is equivalent to the expression 12/(x^2+7x) option 12/(x^2+7x) is correct.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

The polynomial can be represented as:

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have polynomial:

[tex]\rm = \frac{3}{x+7}\times \frac{4}{x}[/tex]

[tex]=\rm \frac{3\times4}{x(x+7)}[/tex]

[tex]\rm = \frac{12}{x^2+7x}[/tex]

Thus, the product of the expression 3/(x+7) and 4/x is equivalent to the expression 12/(x^2+7x) option 12/(x^2+7x) is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ2

Answer:

[tex]y = 2.25x \\ \boxed{y = \frac{9}{4} x}[/tex]

Coordinates :---

• (x, y)

→(-2, -9/2)

→(-1, -9/4)

→(0, 0)

→(1, 9/4)

→(2, 9/2)

Answer:

1.- CI = 94% (  μ₀ -  1,04   <  x   <   μ₀ +  1,04 )

2.- CI = 98 % ( μ₀ - 2,05  <  x   <   μ₀ + 2,05 )

3.- CI = 96 %  (  μ₀ - 1,75  <  x   <   μ₀  + 1,75 )

Step-by-step explanation:

Sample size      n  = 3000000

Sample mean   x  =  200

Standard deviation   s  =  30

From  z-table values of z(c):

CI  94 %        Confidencial level   α = 6 %   α = 0,06   z(c) = 1,55

CI  98 %        Confidencial level   α = 2 %   α = 0,02   z(c) = 2,05

CI  96 %        Confidencial level   α = 4 %   α = 0,04   z(c) =  1,75

MOE = z(c) * σ/√n

1.-MOE =  1,55* 30 / √2000    MOE = 1,04

2.-MOE = 2,05*30/√2000      MOE = 1,38

3.-MOE = 1,75*30/√2000        MOE = 1,17

Then CI

1.-  CI = 94 %     (  μ₀ -  MOE <  x  <   μ₀ -  MOE )

     CI  =  (  μ₀ -  1,04   <  x   <   μ₀ +  1,04 )

2.-CI = 98 %

     CI  = (    μ₀ - 2,05  <  x   <   μ₀ + 2,05 )

3.- CI = 96 %

     CI = (  μ₀ - 1,75  <  x   <   μ₀  + 1,75 )

Using the t-distribution, it is found that:

We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The information given is:

The interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

Considering a 94% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 1.8916, hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 1.8916\frac{30}{\sqrt{2000}} = 198.73[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 1.8916\frac{30}{\sqrt{2000}} = 201.27[/tex]

The 94% confidence interval is (198.73, 201.27).

Considering a 96% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 2.0673, hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 2.0673\frac{30}{\sqrt{2000}} = 198.61[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 2.0673\frac{30}{\sqrt{2000}} = 201.39[/tex]

The 96% confidence interval is (198.61, 201.39).

Considering a 98% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 2.3452, hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 2.3452\frac{30}{\sqrt{2000}} = 198.43[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 2.3452\frac{30}{\sqrt{2000}} = 201.57[/tex]

The 98% confidence interval is (198.43, 201.57).

You can learn more about the use of the t-distribution to build a confidence interval at https://brainly.com/question/16162795

Answer:

L x W (original)

(L+3) x w     (one dimension changed)

(L+3)(W+3)   (both dimensions changed)  

Step-by-step explanation:

Rectangle when one dimension increase 3 units, area will change from original (L and w are its two sides)

L x W to (L+3) x w

If both dimension increase 3 units, the area will become

(L+3)(W+3)

Answer:

a certain number that i do not know

Step-by-step explanation:

a certain number that i do not know

Step-by-step explanation:

7 [tex]\frac{1}{2}[/tex] ÷ 2

A. 2 × ? = 7[tex]\frac{1}{2}[/tex]

   Divide 2 on both sides to bring all the constants on one side...

   ? = 7 1/2 ÷ 2

B. 7 1/2 x ? = 2

  Divide 7 1/2 on both sides to isolate the ?

  ? = 2 ÷ 7 1/2

C. 2 x 7 1/2

    You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2

D. ? x 7 1/2 = 2

   Divide 7 1/2 on both sides

    ? = 2÷ 7 1/2

E. It's basically the same thing as A

Whatever is bolded is the answer

I hope this made sense and I hope this helps!!!

Answer:

3x-x+2=4

Step-by-step explanation:

Children = x

Adults = y

x + y = 754...1

1.50x + 2.25y = 1422...2

Multiply (1) by 2.25

2.25x + 2.25y = 1696.50...3

1.50x + 2.25y = 1422...2

Subtract (2) from (3)

0.75x = 274.50

x = 366

Substitute x = 366 in (1)

x + y = 754

366 + y = 754

y = 388

366 children and 388 adults swam at the pool.

Answer: 2/5y and -.2y are like terms, and -6 and -2 are like terms

Step-by-step explanation:

Answer:

Hey! Seems like you already have an answer but I am going to tell you why it's your answer!

Step-by-step explanation:

So 2/5y and 0.2y are like terms because they both have a letter at the end are a variable. Now -6 and -2 or both negative numbers so what you're looking out for or matching sign's like the one's I put above hope this helps a bit!!! Good Luck!!!!

Answer:

See answer below

Step-by-step explanation:

There is NO elementary function that gives the antiderivative of e^(-x^2)

This expression in fact is called the Gaussian integral, since it gives the Gaussian bell curve.

Its integration is done by numerical methods, it is widely used in Statistics, and there are tables to calculate definite integrals associated with probability distributions.

Answer: h>-39

Step-by-step explanation:

Answer:

X=48

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Given that:

P(Red) = Probability of randomly choosing a red

Probability of randomly choosing a red = 7/12

Number of red marbles = 42

The number of marbles in the bag :

P(Red) = number of red marbles / total number of marbles

Total number of marbles = (red marbles + blue marbles)

P(red) = 7/ 12 ;number of red = 42

P(Red) = number of red marbles / total number of marbles

Let:

x = total number of marbles

7/12 = 42 / x

(7/ 12)x = 42

7x / 12 = 42

7x = 12 * 42

7x = 504

x = 504 / 7

x = 72

Answer:

105 miles in 3 hours

Step-by-step explanation:

Your Welcome

Answer:

11 1/2   or    23/2

Step-by-step explanation:

K = 10 + 3/2 = 10 + 1 + 1/2

Answer:

Ima just steal the points

Step-by-step explanation: