Answer:
a^11
Step-by-step explanation:
1) Simplify the numerator. Use the laws: (x^a)^y = x^ay, x^a × x^b = x^a+b.
= a¹⁵ × a^-6 / a^-2
= a⁹ / a^-2
2) Divide them. Use the law: x^a / x^b = x^a - b.
= a^9 - (-2) / 1
= a^9 + 2 / 1
= a^11
Answer:
25% increase
Step-by-step explanation:
First take the new price and subtract the original price
30-24 = 6
Divide by the original price
6/24 = 1/4 = .25
Change to percent form
25%
The price went up so it is an increase
25% increase
Answer:
Area is 235
Step-by-step explanation:
Split the shape evenly so 11 x 14 and 9 x 9then multly and add
when slpitting up the number some times you have to add or subtract so to get 9 x 9 we just take 20 then take away 11 due to the line going through 20 and 20 - 11 = 9
9 x 9 = 81
11 x 14 = 154
81 + 154 = 235
or
Simular to the first one but the cutting line is different. this time the line cuts through 14
9 x 20 = 180
11 x 5 = 55
180 + 55 = 235
Answer:
i) Equation can have exactly 2 zeroes.
ii) Both the zeroes will be real and distinctive.
Step-by-step explanation:
is the given equation.
It is of the form of quadratic equation 
and highest degree of the polynomial is 2.
Now, FUNDAMENTAL THEOREM OF ALGEBRA
If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.
So, the equation can have exact 2 zeroes (roots).
Also, find discriminant D = 
⇒ D = 37
Here, since D > 0, So both the roots will be real and distinctive.
