Answer:
is the required equation.
Therefore, the second option is true.
Step-by-step explanation:
We know that the slope-intercept form of the line equation of a linear function is given by
where m is the slope and b is the y-intercept
Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula
substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.
Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function
Thus, is the required equation.
Therefore, the second option is true.
Answer:
y = 1/3x + 4 1/3
Step-by-step explanation:
2x - 6y = 12
First find the slope
Solve for y
Subtract 2x
2x - 6y -2x= 12-2x
-6y = -2x+12
Divide by -6
-6y/-6 =-2x/-6 +12/-6
y = 1/3 x -2
The slope is 1/3
Parallel lines have the same slope
Using the slope intercept form y = mx+b where m is the slope and b is the y intercept
y = 1/3x +b
And substituting in the point
4 = 1/3 (-1) +b
4 = -1/3 +b
Add 1/3 to each side
4 + 1/3 = b
y = 1/3x + 4 1/3
Answer:
the answer is c. 1 inch=27 feet
Step-by-step explanation:
32 is to big and 22 is to small but 27 will fit perfectly because its 20 inches
Answer:
I think it's 105.
Step-by-step explanation:
The wording is sort of unclear, but I drew it out and it seems that they are alternate interior angles. Alternate interior angles are congruent! If this is not the right answer, please tell me and I might be able to tell another one.
Well, technically, it has to be either 75 or 105, because all of the special relationships of triangles are either that they are supplementary or they are congruent. So if it's not 105, try 75 :)
These are "composite" functions.
g(x+a) means insert (x+a) into g(x) to replace every x:
g(x+a) - g(x) = -5(x+a)^2 +4(x+a) +5x^2 - 4x
= -5(x^2 + 2ax + a^2) +4x +4a + 5x^2 - 4x
Now just Multiply and sum up the answer.
