MATHEMATICS HIGH SCHOOL

The ordered pairs below represent a linear relation between x and y.(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)

Which of the following is a correct statement about this relation?

A. The slope of the line represented by this table is -2 and the y-intercept is -4.
B. The slope of the line represented by this table is 2 and the y-intercept is 7.
C. The slope of the line represented by this table is 2 and the y-intercept is -4.
D. The slope of the line represented by this table is -2 and the y-intercept is 7.

Answers

Answer 1

Answer:

Answer:

Option B - The slope of the line represented by this table is 2 and the y-intercept is 7.

Step-by-step explanation:

Given : The ordered pair below represent a linear relation below x and y.

(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)

The slope form is $y=mx+c$

where m is the slope of line and c is the y-intercept.

or to find slope between two points are $m=(y-y_1)/(x-x_1)$

Since they are ordered pairs so, there slopes were same

Let take points (-3,1), (-2,3)

$m=(y-y_1)/(x-x_1)$

$m=(3-1)/(-2-(-3))=(2)/(1)=2$

Therefore, the slope of the given linear function is 2

Now, we have to find y intercept we put in slope form

$y=mx+c$

$y=2x+c$

Given pairs are ordered therefore, they satisfy the above equation so let point (-2,3)

$3=2(-2)+c$

$c=3+4=7$

So, slope of the line is 2 and y-intercept is 7.

Therefore, Option B is correct.

Answer 2

Answer: Slope = rise/run
(-2,3) (0,7)

7-3 /0- -2 = 4/2= 2
When x = 0 y=7 intercept

Answer is B

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Please help due in a hour 20 points
Write y=x^2-18x+83 in vertex form. Then identify the vertex.

Find the area of the parallelogram. pick one of these30 sq cm
40 sq cm
12 sq cm
17 sq cm

Answers

Answer:

The area of the parallelogram is 40.

Step-by-step explanation:

You multiply the base by the height:

4*10= 40

40 sq
Explanation: I took the test

Michael buys a ticket in the Tri-State Pick 3 lottery every day, always betting on 812. He will win something if the winning number contains 8, 1, and 2 in any order. Each day, Michael has probability 0.006 of winning, and he wins (or not) independently of other days because a new drawing is held each day. What is the probability that Michael’s first winning ticket comes on the 10th day?

Answers

Answer:

0.00568 ANS

Step-by-step explanation:

Since Michael has a .006 chance of winning on any given day,

Than his tries of not winning on any day are as:

1-.006=.994.

For Michael first winning ticket would be on 10 day, Michael should not win on the first 9 days, so then he has to win on the 10 day. For Michael not to succeed on the first 9 days, the probability is:

.994^9=0.94727801832

Hence for him to succeed on the 10 day, the probability is .006.

Now the probability of his first winning ticket being on the 10 day is:

.006*.994^9.=0.0056836681.

If the base and height of a triangle are measured in inches, what will the units of the perimeter be? centimeters square inches inches

Answers

normally you would give the answer in the units given
UNLESS OTHERWISE STATED

so normally it would be inches (unless the quesiton asks to convert to centimeters)
square inches is for area, we are solving for perimiter

answer is inches

Which of the following describes the domain of the function?

Answers

I think it's A but I'm not sure. The domain of a relation is simply the input, or x-values of the relation

How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?Two
Zero
One
Infinitely many

Answers

Answer:

The number of solutions of the equation is:

One.

Step-by-step explanation:

We are asked to find the number of solutions of the equation:

3x+6= -1-3+4x

(

We know that a expression has a unique or one solution if it gives a single value of x after solving the expression.

and we obtain a no solution when the equation gives a false result i.e. the left and right hand side of equality are different.

and infinite many solution if the left and right hand side of equality is same but we can't get a fix value of x )

Now on solving the expression we have:

3x+6= -4+4x

i.e. 4x-3x=6+4

i.e. x=10

Hence, we get a unique value of x.

Hence, the equation has one solution.

it has One solution and to get it solve the equation for x :
6+1+3=4x-3x
x=10

Question 1.1. When constructing the centroid of a triangle, you need to find the intersection of all three of what type of line?

Answers

The centroid is the point where the three medians of the triangle intersect. So, the answer is that the type of all three lines that you need to find the intersection of is median. Each median is the line that joins the midpoint of a side with its opposite vertex. Answer: median

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