<h3>
Answer:</h3>
System
Solution
- p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>
Step-by-step explanation:</h3>
(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.
For the total amount of mix:
... p + m = 10
For the quantity of peanuts in the mix:
... p + 0.2m = 0.6·10
For the quantity of almonds in the mix:
... 0.8m = 0.4·10
For the ratio of peanuts to almonds:
... (p +0.2m)/(0.8m) = 0.60/0.40
Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.
So, your system of equations could be ...
___
(b) Dividing the second equation by 0.8 gives
... m = 5
Using the first equation to find p, we have ...
... p + 5 = 10
... p = 5
5 lb of peanuts and 5 lb of mixture are required.
To find range, you must find the largest number in your data, and subtract it by the smallest number in your data.
In this case...
the Largest (20) - smallest (0) = Range
Answer:
y = -2x - 2
Step-by-step explanation:
Slope intercept form of equation is y = mx + c
c is intercept and m is slope
given that slope is -2
m = -2
thus, equation in slope intercept will be
y = -2x + c
The given line passes through (-1,0)
y = -2x + c
lets substitute y = 0 and x = -1 in the given equation
0 = -2*-1 + c
0 = 2 + c
c = -2
Thus, the complete slope intercept equation after using the value of c as -2
we have
y = -2x - 2 answer
Answer:
-4
Step-by-step explanation:
g(2) means x=2
