It is 4pi/7, or b. Just want to help ;)
Answer:
look at the picture I sent
I'll solve it algebraically
x+y=4
x-3y=12
multiply first equatoin by -1 and add to second
-x-y=-4
<u>x-3y=12 +</u>
0x-4y=8
-4y=8
divide both sides by -4
y=-2
sub back
x+y=4
x+-2=4
add 2 to both sides
x=6
x=6
y=-2
(6,-2)
Therefore, f(x) = 2x + 3 is your derivative function, and you need to find the original curve. So find the antiderivative using the given conditions...
∫f(x) = ∫2x + 3 dx
F(x) = x^2 + 3x + C
2 = (1)^2 + 3(1) + C
2 = 4 + C
C= -2
Therefore, the curve is F(x) = x^2 + 3x - 2
Proof: The derivative is the slope at every (x, y) point. The derivative of F(x) comes out to be 2x + 3, so we have found the curve. Plug in x = 1, and y = 2, so the conditions have been met.
<span>Hope I helped.</span>
Answer:
Step-by-step explanation:
Given that 1/4 bucket of nuts fills 2/3 of the barrel
PART A
<u>To find the amount of nuts that fills entire basket we can put this as:</u>
- 1/4 bucket → 2/3 barrel
- x bucket → 1 barrel
<u>Use cross-multiplication to find the value of x:</u>
- x×2/3 = 1×1/4
- x = 1/4 ÷ 2/3
- x = 1/4×3/2
- x = 3/8 bucket
PART B
- Using the bucket to barrel ratio to solve the problem. Having the number of required buckets as x and considering full barrel as 1 helps to find the value of x.
