Answer: 
<u>Step-by-step explanation:</u>
x - 2 = -4y → x = 2 - 4y
3x + 2y = 11
3(2 - 4y) + 2y = 11 <em>replaced "x" with (2 - 4y)</em>
6 - 12y + 2y = 11 <em>distributed "3" on left side</em>
<em> </em>6 - 10y = 11 <em>added like terms (-12y + 2y)</em>
- 10y = 5 <em>subtracted "6" from both sides</em>
y
<em>divided both sides by -10</em>
Next, solve for x:
x = 2 - 4y

= 2 + 2
= 4
Answer : option B
This graph shows the solutions to the inequalities
system of inequalities y>3x+14 and y<3x+2
the system of inequalities have solutions only when the shaded part satisfies the given inequalities
We are given with the graph of inequalities . The given inequalities have 'and' in between.
so we look at the graph where both inequalities intersects
From the graph we can see that there is no intersection part of both shaded portions
So , we conclude that there is no solution.
To know how many servings can be done what we should do in this case is to divide the total amount of kilograms of sorbet between the amount of each of the servings.
We then have to do the division:
N = (3) / (1/10)
N = 30
Answer:
a french dessert chef can create 30 portions each weighing 1/10 of a kilogram from 3 kilograms of sorbet
Answer:
Step-by-step explanation:
Remark
The best way to answer something like this is to actually graph both equations. I have done that for you below.
Red Line: f(x) = 1/4x - 1
Blue Line: g(x) = 1/2x - 2
Now look at the answers.
A: The first one is incorrect. You don't need the graph to tell you that. The larger the number in front of the x, the steeper the line. Put another way, the larger the slope, the steeper the line. The y intercept is lower however.
B is wrong. g(x) is steeper, but the y intercept is lower not higher than f(x) [Negatives do strange things].
C:The g(x) is steeper (we've said that a couple of times), and it has a lower y intercept.
D is correct.
E is just wrong. Both parts are incorrect.