Answer: (4,-4)
y=-4, x=4
Step-by-step explanation:
-4x=4y
4x-8y=12
-8y=-4x+12 Now I can substitute -4x for 4y
-8y=4y+12
-2y=y+12
-3y=12
y=-4
-4x=4y
-4x=4(-4)
x=4
Let distance be s and velocity be v
s = 5t⁴ - 10t² + 6
We know velocity is the change in distance per unit time, so
v = ds/dt
v = 20t³ - 20t
In order to do this, we have to 1st find the volume of each ball using the sphere volume formula: 4/3(pi)r^3
Baseball: 4/3(pi)(1.375in)^3
Soccer ball: 4/3(pi)(4.25in)^3
Calculate to get:
Baseball: about 10.89
Soccer ball: about 321.56
So subtract these 2 numbers:
321.56in^3 - 10.89in^3
= 310.67 in^3
So the difference in volume between these two objects would be 310.67 in^3
Answer:
Linear Function
Step-by-step explanation:
Given
The table showing values of x and y
Required
Determine the type of function
To determine the type of function, the table represents;
One will need to determine the table equation.
Start by solving for the slope;

When x - 0; y = 0 and When x = 80; y = 60.
This gives



The formula is determine as follows;

When x - 0; y = 0; m = 3/4; This gives


Open Bracket


The above is an example of a linear equation.
<em>Hence; option B answers the question</em>
Answer:

Step-by-step explanation:
We are going to find the slope by lining up the points vertically and subtract, then put 2nd difference over first.
Also you could just use
. It is the same thing.
( 5 , 5)
-( 1 , 3)
--------------
4 2
So the slope is 2/4 or 1/2 after reducing.
The point-slope form a line is
with a point on the line
given and with slope
given.

We are going to solve this for y and simplify what we can because our goal is y=mx+b; this is slope-intercept form. It is called that because it tells us the slope,m, and the y-intercept,b.
Distribute:

Add 3 on both sides:

Simplify:
