Answer:
y = 3/2x-5/2
Step-by-step explanation:
We have two points so we can write the equation for the line. (-1,-4) and (3,2)
First we can find the slope by using
m= (y2-y1)/(x2-x1)
m = (2- -4)/(3 - -1)
=(2+4)/(3+1)
= 6/4
= 3/2
Then put the slope into the slope intercept form of the equation
y= mx+b where m is the slope and b is the y intercept
y = 3/2x+b
We will use the point (3,2) and substitute it into the equation to find b
2 = 3/2(3)+b
2 = 9/2 +b
Subtract 9/2 from each side
4/2 -9/2 = 9/2-9/2 +b
-5/2 = b
y = 3/2x-5/2
Answer:
A
Step-by-step explanation:
Khan Academy
Answer:
Local maximum: approx. (1, 8.08), Local minima: approx. (-2, -7.67) and (3, 2.75)
Step-by-step explanation:
Local maxima are the various maxima in the function and the local minima are the various minima in the function. Knowing that, we can deduce that the answer is "Local maximum: approx. (1, 8.08), Local minima: approx. (-2, -7.67) and (3, 2.75)" or C.
1) What transformation takes the graph of f(x)=4x+9 to the graph of g(x)=4x+7 ?
Both have same slope = 4
f(x)=4x+9 , y - intercept b = 9
g(x)=4x+7, y - intercept b = 7; 2 units down from f(x)
Answer
translation 2 units down
2) The graph of function g is a vertical stretch of the graph of function f by a factor of 3.
Which equation describes function g?
Vertically stretch | a | > 1
Stretch by factor of 3 so f(x) = 3f(x)
Answer
g(x) = 3f(x)
Answer:
x = 6
Step-by-step explanation:
the segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
=
= 3 ( multiply both sides by 2 )
x = 6