Answer:
Step-by-step explanation:
1) determine what we know. We know that...
a) 156 total messages were sent
b) Jim sent 6 less that carmen
c) reuben sent 4 times as many as jim
2) create an equation with the information we know
(J= amount of messages jim sent, R= amount of messages reuben sent and C= amount of messages carmen sent)
(jim) (reuben) (carmen) (total)
C - 6 + J(4) + C = 156
Now, isolate "C" on one side of the "="
3) add 6 to both sides of the equation:
C - 6 + J(4) + C =156
-6 -6
C + J(4) + C = 150
4) Combine like terms. In this case, combine the two Cs into Cx2:
C(2) +J(4) = 150
5) subtract "J(4)" from both sides of the "="
C(2) + J(4) = 150
-J(4) -J(4)
C(2) = 150 - J(4)
6) to isolate just 1 C, divide everything by 2
{C(2) = 150 - J(4)} ÷ 2
C = 75 - J(2)
7) Go back to our original equation (in bold) and replace "C" with "75 - J(2)"
(75-J(2)-6) + J(4) + (75-J(2)) = 156
Now solve for J.
Thats as far as I got.
<h3>
Answer:</h3>
B. 3x +y = 4
<h3>
Step-by-step explanation:</h3>
It is perhaps easiest to simply try the equations to see which one works.
For x=0, there are two different kinds of answers:
... A and C: -y = 4
... B and D: y = 4
Since we know y=4 when x=0 (from the point (0, 4)), we can eliminate choices A and C.
___
Using the point (1, 1), you can try choices B and D to see which works:
... B: 3·1 +1 = 4 . . . . true (put 1 where x and y are in the equation)
... D: -3·1 +1 = -2 = 4 . . . . false
The appropriate choice is the equation of B: 3x +y = 4.
_____
<em>Derive the equation from the given points</em>
There are several ways you can derive the equation. Since you have the y-intercept (the point with x=0), you can use the slope-intercept form to start.
The slope (m) is ...
... m = (change in y)/(change in x) = (4 -1)/(0 -1)
... m = -3
We know the y-intercept (b) is 4, so the slope-intercept form of the equation is ...
... y = mx +b
... y = -3x +4
Adding 3x puts this in standard form:
... 3x +y = 4
You need to give me the options
I don’t understand Anything u just wrote
I think the answer would be B
