Write an equation that has (1, 2) as a solution. Substitute (1, 2) into the equation to verify your answer.

Answers

Answer 1

Answer: let's try with y = 2x

if we substitute x = 1
y = 2*1
y = 2

so the equation is valid

Related Questions

A sail on a sailboat is a triangle with two sides perpendicular and each side is a different length. What are the two terms that could be used to describe the sail?
A chemist has two acid solutions in stock: one is a 50% solution, and the other is a 80% solution. How much of each solution should be mixed to obtain 100 milliliters of a 68% solution?
Rachel made a mosaic from different color rectangle tiles 3 tiles measured three and a half inches x 3 inches 6 tiles measures 4 inches x 3 1/4 inches what is the area of the whole mosaic in square inches
Allison is 60 purple button 36 black buttons and 24 green button she wants to put all the buttons in Bins she wants each bin to have only one color and all the bins to have the same number of buttons how many buttons can Allison put in one Bin
How do you use an exponent to represent a number such as 16?

There are 26 students in an algebra class. The number of girls in the class is one less than twice the number of boys. How many boys are in the class.

Answers

g = girls in class

b= boys in class

g = 2b-1

girls + boys =26

g+b=26

substitute g = 2b-1

2b-1 +b =26

combine like terms

3b-1 =26

add 1 to each side

3b -1+1 = 26+1

3b = 27

divide each side by 3

3b/3 = 27/3

b = 9

There are 9 boys

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in each can is 0.12 ounce. The machine is overhauled with new components, and ten cans are filled to determine whether the standard deviation has changed. Assume the fill amounts to be a random sample from a normal population.Perform a hypothesis test to determine whether the standard deviation differs from 0.12 ounce. Use the level of significance.

Answers

Answer:

$\chi^2 =(10-1)/(0.0144) 0.0217 =13.54$

The degrees of freedom are:

$df=n-1=10-1=9$

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 >13.54)=0.279$

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

We can calculate the sample deviation with this formula:

$s =\sqrt{(\sum_(i=1)^n (X_i -\bar X)^2)/(n-1)}$

$n=10$ represent the sample size

$\alpha=0.05$ represent the confidence level

$s^2 =0.0217$ represent the sample variance

$\sigma^2_0 =0.12^2= 0.0144$ represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 = 0.0144$

Alternative hypothesis: $\sigma^2 \neq 0.0144$

The statistic can be calculated like this;

$\chi^2 =(n-1)/(\sigma^2_0) s^2$

$\chi^2 =(10-1)/(0.0144) 0.0217 =13.54$

The degrees of freedom are:

$df=n-1=10-1=9$

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 >13.54)=0.279$

2. Simplify -6x - (-9x+4)

Answers

Answer:

3x-4

Step-by-step explanation:

Inside of the parenthesis, it cannot be further simplified, so we moe to distributing.

=-6x+9x-4

Combine like terms

=3x-4

cannot be further simplified on its own

Answer:

$\huge\boxed{-6x-(-9x+4)=3x-4}$

Step-by-step explanation:

$-6x-(-9x+4)=-6x-1(-9x+4)\n\n\text{Use the distributive property}\ a(b+c)=ab+ac\n\n=-6x+(-1)(-9x)+(-1)(4)\n\n=-6x+9x-4\qquad\text{combine like terms}\n\n=(-6x+9x)-4=3x-4$

Can someone please help me on this one?

Answers

i think it might be the first one but i am not sure

the answer is the second one

As you can see when it is 0hour the temperature is4

when it is 1hour ,it dropped to3.5

As you can see the temperature decrease by0.5 degrees every hour

What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock?A. 15°
B. 30°
C. 45°
D. 60°
E. 72°

Answers

[ All-around-the-clock ] is 360 degrees.

Each hour is 1/12 of [ all-around ].

(1/2) of (360) = 30 degrees.

That's Choice-'B'.

Suppose that an insect population’s density, in thousands per acre, during year n, can be modeled by the recursive formula: a1 = 8 an = 2.9an – 1 – 0.2(an – 1)^2 Which of the following describes what is happening to the insect population for the first five years?