multiply the binomials:
(x + 3y) (3x - 2y)
Answer:
Simplify the expression:
3x^2+7xy−6y^2
Steps:
3x·2+7xy-6y·2
Multiply the numbers: 3·2=6
=6x+7xy-6·2y
Multiply the numbers: 6·2=12
=6x+7xy-12y
Answers:
Q: What is the most they could weigh together?
A: 0.74 kg
-----
Q: What is the least they could weigh together?
A: 0.62 kg
=================================================
Work Shown:
x = weight of first ball
y = weight of second ball
each ball has a weight range of 0.31 kg to 0.37 kg, so,

add straight down to get

which simplifies to

the two soccer balls have a weight range of 0.62 to 0.74, inclusive of both endpoints.
--------
Without using algebra, you basically just add the smallest the two weights could be (0.31) to itself to get 0.31+0.31 = 0.62 which represents the smallest the two weights combined can be. The same happens with the largest weight of 0.37 to get 0.37+0.37 = 0.74 as the max weight of both objects together.
Answer:
Center = (2,5)
Radius = 10
Choice A
To find this answer, first write the equation
(x-2)^2 + (y-5)^2 = 100
into
(x-2)^2 + (y-5)^2 = 10^2
Note how the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2
We see that (h,k) = (2,5) is the center
and r = 10 is the radius
Answer:
a. Decay
b. 0.5
c. 4
Explanation:
If we have a function of the form

then
a = intital amount
b = growth / decay rate factor
x = time interval
If b > 1; then the equation is modelling growth. If b < 0, then the equation is modelling decay.
Now in our case, we have

Here we see that
inital amount = a = 4
b = 1/ 2 < 0, meaning the function is modeling decay
decay factor = b = 1/2
Therefore, the answers are
a. Decay
b. 0.5
c. 4