which of the following functions corresponds to the domain -2 a.) f(x)=x-2 b.) f(x)=x-3 c.) f(x)=2x-3

Sati [7]

Answer:

y intercept = -5 

slope= 4 

equation: y = 4x - 5

EXPLANATION:

FIRST, you must write the formula for a linear graph , which is y = m(x) + c

where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.

SOLUTION:

y = mx + c

finding the gradient (m)

m = y2 - y1

x2 - x1

=( (-1)-(-5) ) ÷ (1-0)

= -1+5 ÷ 1

= 4

Therefore, the slope is 4

finding the y intercept.

y = 4x + c

in the above equation, I substituted the value I had for the slope or the gradient or m.

SO NOW IM ABOUT TO FIND C

TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.

I CHOOSE MY Y = 3 and X = 2

Now I'm going to substitute those values into the formula.

(3) = 4(2) + C

since it's an equation with one variable, no need for simultaneous equations.

3 = 8 + c

3-8 = c

-5 = c

 

SO THATS HOW WE ARRIVED AT -5 AND 4.

 WITH THAT, the equation of the line is y = 4x - 5.

I HOPE IT WAS HELPFUL.

4 0

3 years ago

What is the measure of one interior angle of a regular polygon that has 40 sides?

s344n2d4d5 [400]

Hope this is correct and hope it helps x

8 0

3 years ago

Determine wether 2(x+3)= 2x+6

wariber [46]

It is.

2(x+3)=2x +6
Times 2
2x + 6 =2x+6

Hope this helped,
-Tiara

5 0

3 years ago

Mark wants to improve his free throw percentage in basketball He has shot 1,250 free throws over the last 20 days. He shot eithe

Sedaia [141]

Let's use a for number of days when he shot 50 shots and b for number of days when he shot 100 shots.
We have:
a + b = 20

We also know that he shot total of 1250 shots:
50a + 100 b = 1250

We have two equations. We can solve them for a and b. Let's rearange first equation for a:
a= 20 - b
We insert this into second equation:
50 * (20 - b ) + 100b = 1250
1000 - 50b + 100b = 1250
50b = 250
b = 5
a = 20 - 5
a = 15

Mark shot 100 shots on 5 days.

4 0

4 years ago

The two-way frequency table below shows data on student behavior and the use of positive phone calls home as an incentive for go

dusya [7]

Answer:

From the frequency table, let's calculate the row total.

Row total for phone call = 19 + 9 = 28

Row total for no phone call = 8 +6 = 14

To calculate their respective row relative frequencies, let's use:

Row relative freq = $\frac{freq.}{Row total}$