We know that
The square root property<span> is one method that is used to find the solutions to a quadratic equation. This method involves taking the square roots of both sides of the equation.
</span>(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> <span>will take the square root of each side
</span>so
√(x – 3)²=(+-)√7²------> <span>notice the use of the </span> sign (+-), this will give us both a positive and<span> a negative root
</span>
then
x-3=7--------> x=10
x-3=-7-------> x=-4
the answer Part a) is
x=10
x=-4
Part b) Explain why the given equation has two solutions.
the answer part b) is
Because exist<span> the possibility of two roots for every square root, one positive and one negative</span>
Answer:
I'm going to lay this out in a chart so it's a little easier to see:
F(x) = f(g(x))
x | f (x) | f ' (x) | g (x) | g ' (x)
--------------------------------------
-2 | 8 | 4 |
5 | | 3 | -2 | 6
Remember the chain rule, which says
(f (g (x))) ' = g ' (x) f ' (g (x))
When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.
Using the chain rule, that's
F ' (5) = g ' (5) f ' (g (5))
We can simplify using the numbers provided.
F ' (5) = (6) f ' (-2)
F ' (5) = (6) (4)
F ' (5) = 24
I hope that helps!
by jannat <33
Answer:
2.
Step-by-step explanation:
We have been given an expression
and we are asked to find equivalent expression to our given expression.
Using fraction rule
we can write our expression as:
.
Upon dividing 10 by 5 we will get,
Upon using exponent property for quotient
we will get,
Therefore, our expression simplifies as
and 2nd option is the correct choice.
I believe it's 36. The vertices have the same x coordinate so I found the difference between the y coordinates.
Answer: 40 cones
Explanation: If the blue cones (of which there are 10) are 25% or one quarter of the total number of cones, that means that the total number is equal to four times that, or 40.
10 = 25%
total = 100%
25% x 4 = 100%
10 x 4 = 40