X=weight of large box
y=weight of small box
so
3x+5y=135 and
9x+7y=279
eliminate x's
multiply first equation by -3 and add to 2nd
-9x-15y=-405
<u>9x+7y=279 +</u>
0x-8y=-126
-8y=-126
divide both sides by 8
y=15.75
sub back to find x
3x+5y=135
3x+5(15.75)=135
3x+78.75=135
3x=56.25
divide both sides by 3
x=18.75
each large box weighs 18.75kg
each small box weighs 15.75kg
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
Answer:
Number of cube fit in prism = 24 cubes
Step-by-step explanation:
Given:
Side of cuboid = 1cm , 2cm , 2 1/2
Find:
Number of cube fit in prism
Computation:
Number of cube fit in prism = Volume of prism / Volume of cube
Number of cube fit in prism = (1)(2)(3/2) / (1/2)³
Number of cube fit in prism = 24 cubes
Answer:
g(x) = (x + 2)(x − 1)(x − 2)
I picked the first one, because why not. :)
<u>End behavior.</u> This is a positive function; there are no negatives next to any of the xs. There are 3 xs, so it's a cubic; a positive cubic has a down-up end behavior.
<u>Y-intercept.</u> We can either graph this on the calculator/online or work it out algebraically. Multiply together the constants: +2 * -1 = -2, -2 * -2 = 4. So the y-intercept is at y = 4. (0,4). I've also attached the graph.
<u>Zeros / x-intercept.</u> This is really simple: set g(x) equal to 0, separate these three parenthesis (x+2) (x-1) and (x-2) into three equations by the Zero Product Property.
x+2 = 0
x = -2
x-1 = 0
x = 1
x-2 = 0
x = 2
So the function has three zeros at (-2,0) (1,0) and (2,0).
"Increasing" and "decreasing" are references to what the y-values do when the x-values increase.
Attached is a copy of all four tables, marked with whether the y-values increased or decreased on each step (and it also shows how much that increase or decrease was.
The only table that does this is the top right table in the attachment, which is your second table.