Simple, use the process of elimination to figure this out:
4x-y=2
2x+9y=-12
Convert these, to be able to find either x or y.
2(4x-y=2) 8x-2y=4 multiply by 2.
then
4(2x+9y=-12) 8x+36y=-48
Which makes them
8x-2y=4
-
8x+36y=-48
-38y=52
This simplified makes it y= -26/19.
Then plug y back into the original equation
4x-y=2
4x-(-26/19)=2
Making it x= 3/19.
Thus your Point of Intersection is at (3/19, -26/19)
Step-by-step explanation:
A and 3
B and 1
C and 4
D and 2
I hope this helps :)
Answer:
Step-by-step explanation:
4x + 1
The quotient (f/g)(x) is (f/g)(x) = ---------------
x^2 - 5
Note that x^2 means "square of x," whereas "x2" is ambiguous.
Answer:
Step-by-step explanation:
1. First, put together the information we have. Total = 121. Emily has 40% more than Carl, and Carl has 60% more than Antony.
2. Next, set each person as a variable. Antony = x. Carl = 1.6x. Emily = 1.4 times 1.6x.
3. Next, form an equation using these variables.
x + 1.6x + (1.4 x 1.6x) = 121
x + 1.6x + 2.24x = 121
4.84x = 121
x = 25
4. Finally, plug in x to our previous variables in step #2 to find the number of stamps Emily and Carl have.
<u>Antony</u>: x = 25 stamps
<u>Carl:</u> 1.6x = 40 stamps
<u>Emily</u>: 1.4 times 1.6x = 56 stamps
By the way, is this for RSM? If so, I am working on that problem right now and I searched up the solution but couldn't find it, so I stumbled upon this. I hope this helped!
The question is missing the figure which is attached below.
Answer:
The last box that has dimensions 8 in × 8 in × 10 in
Step-by-step explanation:
Given:
Volume of the soil = 924 cubic inches.
There are four different types of boxes that need to be checked whether they can accommodate all of the soil or not.
The volume of the box must be at least 924 cubic inches to accommodate all of the soil.
Now, volume of the first box is given as:

Volume of the second box is given as:

Volume of the third box is given as:

Volume of the fourth box is given as:

Therefore, only the volume of the fourth box is less than the total volume of the soil. So, last box is the correct option.