350 calories lost per day and there are 3,500 calories in a pound
350x10=3,500
it will take Judy 100 days to lose 10 pounds.
Check the picture below. Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm². Also, recall, the base is a square, thus, length = width = x.

so.. that'd be the V(x) for such box, now, where is the maximum point at?

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it. Check the second picture below.
so, the volume will then be at
An equvilent equation
remember you can do anything to an equation as long asyou do it to both sides
assuming yo have
x+y=1 and
x-3y=9
mulitply both by 2
2x+2y=2
2x-6y=18
those are equvilent
ok, solve initial
x+y=1
x-3y=9
multiply first equation by -1 and add to 2nd equation
-x-y=-1
<u>x-3y=9 +</u>
0x-4y=8
-4y=8
divide both sides by -4
y=-2
sub back
x+y=1
x-2=1
add 2
x=3
x=3
y=-2
(3,-2)
if we test it in other one
2x+2y=2
2(3)+2(-2)=2
6-4=2
2=2
yep
2x-6y=18
2(3)-6(-2)=18
6+12=18
18=18
yep
solution is (3,-2)
Answer:
14
Step-by-step explanation:
f(x)=-1/3x+13
f(-3)=-1/3(-3)+13
f(-3)=3/3+13
f(-3)=1+13
f(-3)=14
Answer:
B, 7/20
Step-by-step explanation:
If two events are mutually exclusive that means that there is no intersection
so in the union formula: AUB=A+B-A∩B
A∩B=0
we can write P(a)=x
7/10=7/20+x+0
7/10-7/20=x
x=7/20