Answer:
D
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by its reciprocal.
6 ÷ 1/3
= 6 x 3/1
= 6 x 3
= 18
Answer:
Y-intercept is (0,8)
Step-by-step explanation:
Firstly, we need to get the equation of the line segment
We have the general equation as;
y = mx + b
m is the slope and b is the y-intercept
So for the slope between (9,6) and (-2,-1); we have
m = (y2-y1)/(x2-x1)
m = (-1-6)/(-2-9) = -7/-11 = 7/11
Mathematically, when two lines are perpendicular, their slopes have a product of -1
Let the slope of the second line be m
m * 7/11 = -1
7m = -11
m = -11/7
The equation of the second line is;
y = mx + b
y = -11x/7 + b
The line passes through the point (3.5,2.5)
So,
2.5 = -11/7(3.5) + b
2.5 = -5.5 + b
b = 2.5 + 5.5
b = 8
so the y-intercept of the perpendicular bisector is 8
5-(-4)
5 + 4 = 9
exceeds by 9
Answer:
-20
Step-by-step explanation:
f (-3) = 12 x -3 + 11 +5
^
12 x -3 + 16
^
-36 + 16
^
= -20
Answer:
Step-by-step explanation:
The zero (root) of a function is any value of the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x-axis.
~~~~~~~~~
f(x) = x³ + 3x² - x - 3
f(-3) = ( - 3 )³ + 3( - 3 )² - ( - 3 ) - 3 = 0
f(-1) = ( - 1 )³ + 3( - 1 )² - ( - 1 ) - 3 = 0
f(1) = ( 1 )² + 3( 1 )² - ( 1 ) - 3 = 0
