Answer:
The antiderivative is
.
Step-by-step explanation:
Antiderivative F(x)
This is the integral of 
So
F′(x) = f(x) = 6 + 24x^3 + 18x^5
Then:



F(1)=0
when
. We use this to find K.



Thus
The antiderivative is
.
This is what I did for factoring. Let me know if you need more work?
Since x co-ordinates are constant, answer has to be difference in y co ordinates therefore the answer is 4
The answer is 12.8 cm³
<span>The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p):
v = k/p
p * v = k (k - constant)
p1v1 = k
p2v2 = k
So, p1v1 = p2v2
v1 = 24 cm</span>³
p1 = 16 lb
v2 = ?
p2 = 30 lb
24 * 16 = x * 30
384 = x * 30
x = 384 / 30
x = 12.8 cm³
Answer:
a+4=11b
Step-by-step explanation:
Distributive property in mathematics means to multiply the sum by a number of two or more add-ons will provide the same result that each add-on multiplies by a single number and then together add the products.
for example a( b+c) = ab+ac
Therefore, applying distributive property in asked eapression
12(2a - 6b+ 8) = 21(2a−6b+8)
24a+72b+96 = 42a-126b+168
198b=18a+72
9a +36=99b
3a+12=33b
a+4=11b