Answer:
∴ Constant of Proportionality is 32
Step-by-step explanation:
Here Given;
(equation-1)
(equation-2) (divide with 'g' on both side)
We know,
The Constant of Proportionality equation is given;
(equation-3)
Where 'k' is known as Constant of Proportionality.
Comparing equation-1 and equation-3;
and 
Now equation-2 become;
Plug and in above equation;
(equation-4)
By comparing equation-2 and equation-4;
So Constant of Proportionality is 32
Answer:
C. ![f(x)=\sqrt[3]{-x} -1](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7B-x%7D%20-1)
Step-by-step explanation:
Consider graph of the parent function (red curve in attached diagram)
![g(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
First, multiply it by -1 to get function
![h(x)=-\sqrt[3]{x}](https://tex.z-dn.net/?f=h%28x%29%3D-%5Csqrt%5B3%5D%7Bx%7D)
Then translate the graph of the function h(x) 1 unit down, then you'll get the function
![f(x)=-\sqrt[3]{x} -1\\ \\ \text{or}\\ \\f(x)=\sqrt[3]{-x} -1](https://tex.z-dn.net/?f=f%28x%29%3D-%5Csqrt%5B3%5D%7Bx%7D%20-1%5C%5C%20%5C%5C%20%5Ctext%7Bor%7D%5C%5C%20%5C%5Cf%28x%29%3D%5Csqrt%5B3%5D%7B-x%7D%20-1)
The graph of the function f(x) is represented by the blue curve in attached diagram
Answer:
It woule be c and d, so a)
Step-by-step explanation:
Only a and b are functions.
Answer:
y = -2x - 5
Step-by-step explanation:
An equation of a line in slope-intercept is y=mx + b.
x and y are points on the line.
m is the slope.
b is the y-intercept.
To find this equation, we will need to find m and b.
When lines are parallel, they have the same slope.
A line parallel to y = -2x + 3 has a slope of -2.
m = -2
To find b, substitute into the equation a point on the line (-2, -1) and m = -2.
A point is in the form (x, y). So x = -2, y = -1.
y = mx + b
-1 = (-2)(-2) + b Simplify by multiplying the (-2)(-2)
-1 = 4 + b Subtract 4 from both sides to isolate b
-5 = b
b = -5 Writing the variable on the left side is standard formatting
Since we now know the y-intercept, b= -5, and the slope, m = -2, substitute them into y=mx + b to get the equation of the line.
y = -2x - 5
Answer:
a)At 10min= Jo arrived at the destination and prepare to return.
b)8km/h
Step-by-step explanation:
speed = distance/time 30/3.75=8
Hope this helps
