Determine whether the quantities in the problem vary directly or inversely and then solve the problem. A mill processes 48 tons of flour in 15 hours. How many tons of flour can the mill process in 20 hours if its rate or production stays the same?
Answers
Answer:
Step-by-step explanation:
U have a direct proportion
48 tons of flour to 15 hrs = x tons of flour to 20 hrs
48 x
------- = ------- cross multiply
15 20
(15)(x) = (48)(20)
15x = 960
x = 960/15
x = 64 <==== 64 tons
Answer:
64 tons
Step-by-step explanation:
directly proportional :)
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Answers
By analyzing the asymptotes we can find the graph of the rational function. Also a graph is provided below.
Which graph represents the function?
We have the rational function:
f(x) = (2x)/(x^2 - 1).
First, you can see that we have two zeros on the denominator. One happens when x = 1 and the other when x = -1.
This means that the graph of this function will have two vertical asymptotes at these values. (four actually as we have one going to each end in each point).
With that description we can find the graph of the function, I will also post it so you can recognize it.
If you want to learn more about rational functions, you can read:
Answer:
Step-by-step explanation:
f(x) = 2 / (x^2 - 1) is better written as
2
f(x) = ------------------
(x - 1)(x + 1)
This is undefined at x = -1 and x = 1; there are vertical asymptotes at x = -1 and x = 1.
The y-intercept is found by letting x = 0; we get
2
f(x) = ------------------ = -2 => (0, -2)
(0 - 1)(0 + 1)
Please, next time, share the answer choices. Thank you.
Answers
Answer:
base = 3.1 cm
Step-by-step explanation:
b= base
perimeter= p
From the statement we know that p=15.7 cm
moreover:
a=c=6.3 cm
So we have:
15.7=2*a +b
15.7 = 2*6.3 +b
15.7-12.6 = b
b= 3.1 cm = base
y = -16
2). 3x + 6y = 15
-2x + 3y = -3
3). 7y = -14x + 42
7y = 14 x + 14
Answers
5x+4(-16)=16
5x-64=16
5x=80
x=16
2.3x+6y=15
-2x+3y=-3
Multiply the 2nd equation by 2
3x+6y=15
-4x+6y=-6
7x=9
x=9/7
3x+6y=15
3(9/7)+6y=15
27/7+6y=15
6y=78/7
y=78/42 or 39/21 or 13/7
3.7y = -14x + 42
7y = 14 x + 14
-14x+42=14x+14
-28x=-28
x=1
Answers
3 x 15/4 = 45/4 = 11 1/4 milliliters
Answers
72*100=7200
7200 divided by 45=160
Therefor the trip was 160 miles long
b $2,200
c $2,364
d $2,667