MATHEMATICS HIGH SCHOOL

Use the form y=mx +b for linear equations.Write the equation for the following relation.C = {(x, y): (6, 15), (8, 21), (10, 27), . . .}

Answers

Answer 1
Answer: I'm not sure if the answer is right, but here you go.

y=mx+b 

'm' is for gradient of the line. First, calculate the gradient.

Let's use (6,15) and (8,21)

Gradient, m = y_(2) - y_(1)
                    --------------
                     x_(2) - x_(1)
                 
                 =  21 - 15     = 6       = 3
                     -----------      ----   
                       8 - 6         2
           
Therefore, m = 3 . Now let's search 'b' .
Let's use (6,15) again. Substitute it into the equation.

y=mx+b 
15 = 3 (6) + b
b = -3

Thus, the equation : y=3x -3 
Answer 2
Answer:

Answer: Use Desmos.com/calculator

Step-by-step explanation:

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What is the sum of the given polynomials in standard form?
(x2 – 3x) + (–2x2 + 5x – 3)

Answers

Answer:

-x^2+2x-3

Step-by-step explanation:

We have (x^2- 3x) + (-2x^2 + 5x -3) which is the same as:

x^2-3x-2x^2+5x-3

The polynomial has 5 terms that we are going to analyse:

1st. term: x^2       Degree: 2   Coefficient: 1

Observation: Coefficient is the number in front of a variable. In this case the variable is x. Then the first term has coefficient 1 because (1).x^2=x^2.

2nd. term: -3x     Degree:1     Coefficient: (-3)

3rd. term: -2x^2  Degree:2    Coefficient: (-2)

4th. term: 5x      Degree:1     Coefficient: 5

5th. term: -3        Degree:0    Coefficient: (-3)

We have to reorder the polynomial writing each term in order of degree from highest to lowest (left to right).

The terms with highest degree are the first and third. Then the second and fourth term. And the lowest degree  corresponds to the fifth term.

The polynomial now is:

x^2-2x^2-3x+5x-3

Now we have to sum the terms that have the same degree:

x^2-2x^2=(1-2)x^2=(-1)x^2=-x^2

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

Then the result is:

-x^2+2x-3
-x2 + 2x - 3 is the final answer to that

Find the length and width of a rectangle with an area of 2x + x - 3. A. l = 2x + 3; w = x + 1

B. l = 2x + 3; w = x - 1

C. l = 3x + 2; w = x - 1​

Answers

hdjdbbxbshwvshs bdb scud

Answer:

the answer would be B: l = 2x + 3; w = x - 1

A radio talk show host asks listeners to call the radio station and give their opinions on a proposed new city ordinance. He uses the opinions of 200 callers to conclude that the voters are overwhelmingly opposed to the ordinance. Why is this sample likely to be biased?









A.
The survey is voluntary and includes only listeners of this radio program.







B.
There are not enough people in the sample.







C.
Radio listeners are more likely to be opposed to city ordinances.







D.
The entire population of the city was not surveyed.

Answers

I would say that the best answer is actually that people who are not opposed to the new rule are less motivated to call than the people who are opposing it, who feel that they need to do something about it.

But this is not one of the options. Among the options, the best is:
A.  The survey is voluntary and includes only listeners of this radio program.

125% of what number is 0.08?

Answers

Answer:

0.06

Step-by-step explanation:

125% × ? = 0.08

? =

0.08 ÷ 125% =

0.08 ÷ (125 ÷ 100) =

(100 × 0.08) ÷ 125 =

8 ÷ 125 =

0.064 ≈

Alicia drove at a constant speed and traveled 182.4, point, 4 miles in 3 hours. How many miles would Alicia travel in 11 hours at the same speed?

Answers

668.8 miles.
If Alicia drove 182.4 miles in 3 hours, she was driving 60.8 miles/hour, multiply 60.8 by 11 and you get 668.8 miles in 11 hours.
she would have drove 469 miles in 7 hours

Which of the following represents the probability that someone whoworks full time has more than $5,000 in credit card debt?
(A) P(full time and credit card debt over $5,000)
(B) P(full time or credit card debt over $5,000)
(C) P(full time credit card debt over $5,000)
(D) P(credit card debt over $5,000 | full time)
(E) P(full time)*P(credit card debt over $5,000)

Answers

Answer:

The correct option is;

(E) P(full time) × P(credit card debt over $5,000)

Step-by-step explanation:

The given parameters are;

The mode of employment of a person = Full time

The amount of debt in the credit card = More than $5,000

The probability that a person works full time = P(full time)

The probability that the person has over $5,000 in credit card debt = P(credit card debt over $5,000)

Therefore, the probability that someone who works full time has more than $5,000 in credit card debt =  P(full time) × P(credit card debt over $5,000)
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