I have answered this question before.
Given:
Bob has three kids whose ages has the product of 72. I will only be able to give you a set of 3 numbers to represent the ages. Had the sum of the ages been given, the specific ages would be provided.
I just did a prime factorization of 72.
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
1 x 2 x 2 x 2 x 3 x 3 = 72 ⇒ 2³ x 3²
There are a lot of possible combinations, here are a few.
1 x 8 x 9 = 72 ⇒ 1 + 8 + 9 = 18
1 x 4 x 18 = 72 ⇒ 1 + 4 + 18 = 23
<span>2 x 4 x 9 = 72 ⇒ 2 + 4 + 9 = 15</span>
Answer:
<h2>x = 3/2</h2>
Step-by-step explanation:
Expand
Collect like terms and simplify
Divide both sides of the equation by 4
simplify
Answer:
f(x)=−4(x+ 41 ) 2 − 4 11
Explanation:
The given function is
f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3
To write the function is vertex form, we need to complete the square.
We first factor -4 to get:
f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3
Add and subtract the square of half the coefficient of x.
f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3
We factor the perfect square trinomial and simplify to get:
f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11
Answer:
y=sin(ln(x))
Step-by-step explanation:
First, we have to order the terms as follows and express y' as dy / dx:
Then, we have to integrate
with this solution after integration:
Then, we have to reorder
and applied Sin function on both sides
To define the value of C, we use the known point y(1)=0 and replace in the equation
The function that proves that differential equation is
Answer:
x + 10
Step-by-step explanation:
