MATHEMATICS HIGH SCHOOL

The table represents some points on the graph of a linear function.х
-7.5
-3.5
-1
2
3.5
у
12
0
-7.5
-16.5
-21
Which function represents the same relationship?

Answers

Answer 1
Answer:

The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.

What is the equation of a line passing through two points?

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

\rm (y - y_2) = \left ((y_2 - y_1)/(x_2 - x_1) \right ) (x - x_2)

The table represents some points on the graph of a linear function.

 х           у

-7.5        12

-3.5        0

  -1       -7.5

  2       -16.5

3.5       -21

Take two points from the table, then the points are (-7.5, 12) and (-3.5, 0). Then the equation of the line is given as,

y - 0 = [(-3.5 + 7.5) / (0 - 12)](x + 3.5)

y = - (1/3)(x + 3.5)

3y = - x - 3.5

x + 3y + 3.5 = 0

The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.

More about the line passing through two points link is given below.

brainly.com/question/12740817

#SPJ5
Answer 2
Answer:

Answer:

y=-3x-10.5

Step-by-step explanation:

Let's use the first set of numbers.

-7.5 and 12

-3.5 and 0

Our rise here is -12 and run is 4.  So, our slope is -3.

Now we just need our intercept.

y = mx + b

y = -3x + b

0 = -3(3.5) + b

b = -10.5

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what is the decimal sign-and-magnitude value of the 8-bit number represented in 2's complement by 11010011?

Answers

Answer:

-45.

Step-by-step explanation:

The decimal value is negative because the first digit is a '1'.

11010011

 First we subtract 1 :

11010011

           -1

11010010

Now we replace each 1 by 0 and 0 by 1:

= 00101101

In decimal this is - (1 + 2^2 + 2*3 + 2^5)

= -45.

Look at the image of the table of values below. Over which interval of x is the average rate of change the largest?

Answers

Between 5 & 8.

\displaystyle {21-15\over 8-5} = 6/3 = 2 is the largest rate of change, differentiating from 5\over3 and 11\over6

-4 is less than or equal to x, and 0 is greater than x

Answers

Answer:

4\leq x \leq 0

Step-by-step explanation:

Determine the missing information in the paragraph proof. Given: Line PQ contains points (w, v) and (x, z) and line P'Q' contains points (w + a, v + b) and (x + a, z + b). Lines PQ and P'Q' are parallel. Prove: Parallel lines have the same slope. Since slope is calculated using the formula , the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes.

Answers

Slope = change in y / change in x
Slope of PQ = (z - v) / (x - w)

Slope of P'Q' = (z + b - (v + b)) / ((x + a) - (w + a))
Slope of P'Q' = (z - v) / (x - w)

The slopes of both lines are equivalent to 
(z - v) / (x - w)

Answer:

The answer is A) v-z / w-x

Please help im desperate if f(x) = 5 + 3x find the value of the dependent variable if the if he independent variable is -4 and if you know hoew to do this pls answer my other question

Answers

Answer:

[see below]

Step-by-step explanation:

The dependent variable is considered 'y' or 'f(x)'.

The independent variable is considered 'x'.

f(x)=5+3x\n\nf(-4)=5+3(-4)\n\nf(-4)=5-12\n\n\boxed{f(-4)=-7}

Hope this helps.

Answer: the dependent variable is -7

Step-by-step explanation:

this is really simple all we have to do is plug -4 instead of x

so the equation is going to be f(-4)=5+3(-4)

now we just solve like normal so that would be...

f(-4)= 5+ -12 (3*-4 is -12)

f(-4)= -7

i hope it helps

A migrating bird flies 312 miles in 13 hours. How many miles does it fly in 5 ​hours?

Answers

the answer is 120 miles , because it is a proportion 
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