Answer:
AB =24
Step-by-step explanation:
So, since all the sides are equal, you can just take two of the sides and set em equal to each other to find x and then, solve for AB
4x+8 =6x
8= 6x-4x
8=2x
8/2 =x
x= 4
Now, find AB, which is 4x+8
4(4) + 8
16+8 = 24
Hope this helps!
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Answer:
P(x) = - 7x² + 12
Step-by-step explanation:
Given zeros x = 2, x = - 2, x = , x = -
Then the factors are (x - 2), (x + 2), (x - ), (x + )
and the polynomial is the product of the factors, that is
P(x) = (x - 2)(x + 2)(x - )(x + ) ← expand in pairs using FOIL
= (x² - 4)(x² - 3) ← distribute
= - 3x² - 4x² + 12 ← collect like terms
= - 7x² + 12
The equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
<h3>How to evaluate the expression?</h3>
The expression is given as:
(8x)^-2/3 * (27x)^-1/3
Evaluate the exponent 8^-2/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * (27x)^-1/3
Evaluate the exponent (27x)^-1/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * 1/3(x)^-1/3
Multiply 1/4 and 1/3
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^-2/3 * (x)^-1/3
Evaluate the exponent
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-2/3 -1/3)
This gives
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-1)
So, we have
(8x)^-2/3 * (27x)^-1/3 = 1/12x
Hence, the equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
Read more about equivalent expression at
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The equation for inflation is
A = P*(1+r)^t
which is an exponential growth equation (if r > 0). If r < 0, then we have deflation.
where...
A = final price after t years
P = initial starting price
r = rate of inflation in decimal form
t = number of years
In this case,
A = unknown (we're solving for this)
P = 280 is the starting price
r = 0.05 is the decimal form of 5%
t = 2 years
We will plug these three pieces of info into the formula to get...
A = P*(1+r)^t
A = 280*(1+0.05)^2
A = 280*(1.05)^2
A = 280*(1.1025)
A = 308.70
Answer: 308.70 dollars