Answer:
B) 0.0625
Step-by-step explanation:
f(x) = k / x
f(x)=0.5 when x = 0.3
f(x) = k / x
0.5 = k / 0.3
Cross product
0.5 * 0.3 = k
k = 0.15
What is f(x) when x = 2.4?
f(x) = k / x
f(x) = 0.15 / 2.4
f(x) = 0.0625
The answer is B) 0.0625
Answer:
(-3,4)
Step-by-step explanation:
to solve for x, make y=0
to solve for y, make x=0
Answer:
y = x - 10
Step-by-step explanation:
Find the slope:
-4 - (-8) ÷ 6 - 2
-4 + 8 ÷ 6 - 2
4 ÷ 4
= 1
Substitute into the slope-intercept equation:
y = mx + b
Let's use the first coordinate (2,-8) for the x and y values
m = 1
-8 = 1(2) + b
-8 = 2 + b
-2 -2
-10 = b
Write equation:
y = 1x -10 or y = x -10
Answer:
1/3(3.14)2^2(24)
Step-by-step explanation:
The volume of a cone is given by the formula;
1/3πr³
Considering the radius is 2 cm and the height is 24 cm (4 times the diameter).
Therefore;
Volume = 1/2(3.14)2²(24)
This can be used to calculate the volume.
Answer:
y = 2x² - 5x + 7
Step-by-step explanation:
General form of a quadratic is:
y = Ax² + Bx + C
Using the given points, construct equations and solve for A,B and C.
When x = 0, y = 7
7 = A(0)² + B(0) + C
C = 7
y = Ax² + Bx + 7
When x = -1, y = 14
14 = A(-1)² + B(-1) + 7
A - B = 7
A = 7 + B
When x = 1, y = 4
4 = A(1)² + B(1) + 7
A + B = -3
(7 + B) + B = -3
2B = -10
B = -5
A = 7 + (-5)
A = 2
y = 2x² - 5x + 7