The corresponding values needed will be -23, -8, 7 and 22
<h3>Functions and Tables</h3>
Given the function y = 5x - 8
<h3>Get the domains and range</h3>
We are to get the range of the function for the given domains
If the value of x is -3
y = 5(-3) - 8
y = -15 - 8
y = -23
If the value of x is 0
y = 5(0) - 8
y = 0 - 8
y = -8
If the value of x is 3
y = 5(3) - 8
y = 15 - 8
y = 7
If the value of x is 6
y = 5(6) - 8
y = 30 - 8
y = 22
Hence the corresponding values needed will be -23, -8, 7 and 22
Learn more on tables of function here: brainly.com/question/3632175
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
Answer:
The answer to your question is diameter = 19.7 in
Step-by-step explanation:
Data
Circumference = 62 in
diameter = ?
Process
1.- Write the formula of Circumference, remember that circumference = perimeter.
Perimeter = 2πr
2.- Equal the equation to the value given
2πr = 62
-Solve it for r
r = 62/2(3.14)
-Result
r = 62/6.28
r = 9.87 in
3.- Find the diameter
diameter = 2r
diameter = 2(9.87)
diameter = 19.7 in
Answer:
12 feet
Step-by-step explanation:
just convert 4 yards into feet
Answer:
9^2= (x+2)^2+(y+8)^2
Step-by-step explanation:
The equation is r^2=(x+h)^2+(y-k)^2
