Find 3 consecutive odd numbers where the product of the smaller two numbers is 22 less than the square of the largest number.
1 answer:
Answer:
1,3,5
Step-by-step explanation:
1) your 3 consecutive odd integers would be x,x+2,x+4
The smaller two integers are:x and x+2
So
(X)(x+2)=(x+4)^2-22
Distribute
X^2+2x=x^2+16+8x-22
X^2 cancels each other out and 16-22=-6
2x=8x-6
Add 6 on both sides
2x+6=8x
Subtract “2x” on both sides
6=6x
1=x
Hope this helps!
You might be interested in
Answer: fourth option
Explanation:
1) the pair x = 3 f(x) = 0, leads you to probe this:
f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0
=> A [4^2] = - C
A[16] = - C
if A = 1/4
16 / 4 = 4 => C = - 4
That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4
2) Now you verify the images for that function for all the x-values of the table:
x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check
x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check
x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.
Therefore, you have proved that the answer is the fourth option.
Explanation:
1) the pair x = 3 f(x) = 0, leads you to probe this:
f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0
=> A [4^2] = - C
A[16] = - C
if A = 1/4
16 / 4 = 4 => C = - 4
That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4
2) Now you verify the images for that function for all the x-values of the table:
x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check
x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check
x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.
Therefore, you have proved that the answer is the fourth option.
Answer:
Graph is attached below.
Step-by-step explanation:
If you want to solve for the variable x,
x = −4 / 5y + 7 / 5
<h2>Answer:</h2>
________________________________________________________
<h3>Transform the expression using the sum-to-product formula</h3>________________________________________________________
<h3>Combine like terms</h3>________________________________________________________
<h3>Divide both sides of the equation by the coefficient of variable</h3>________________________________________________________
<h3>Apply zero product property that at least one factor is zero</h3>________________________________________________________
<h2>Cos (8A/2) = 0:</h2><h3>Cross out the common factor</h3>________________________________________________________
<h3>Solve the trigonometric equation to find a particular solution</h3>________________________________________________________
<h3>Solve the trigonometric equation to find a general solution</h3>________________________________________________________
<h2>cos(-2A/2) = 0</h2><h3>Reduce the fraction</h3>________________________________________________________
<h3>Simplify the expression using the symmetry of trigonometric function</h3>________________________________________________________
<h3>Solve the trigonometric equation to find a particular solution</h3>________________________________________________________
<h3>Solve the trigonometric equation to find a general solution</h3>________________________________________________________
<h3>Find the union of solution sets</h3>________________________________________________________
<h2>A = π/8 + nπ/4 or A = π/2 + nπ, n ∈ Z</h2><h3>Find the union of solution sets</h3><em>I hope this helps you</em>
<em>:)</em>