Answer:
The correct answer is (5 - 7)^2
Step-by-step explanation:
To find this, start with the outermost equation g(x).
g(x) = x^2
Now put the next equation (h(x)) in for x in this equation.
(G ▪ H)(x) = (x - 7)^2
Now, put the number in for x in the equation given.
(G ▪ H)(x) = (5 - 7)^2
- Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.
(Make sure to set f(x) to zero)
So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 
Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 
Now you can rewrite the equation as: 
Now apply zero product property to the factors to solve for x:

<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>
Answer:
150 feet
Step-by-step explanation:
the ratio of her shadow to her height
2/5=60/150
60/150=2/5
i hope it is right
The are of the triangle will be 12.5 units.
On marking the given vertices (0,0), (0,5), (5,5) of the triangle we get, the base of the triangle = 5 units and height of the triangle = 5 units.
Now, we know area of triangle =
Answer:
b.
Step-by-step explanation:
We have to look at sign changes in f(x) to determine the possible positive real roots.

There is only one sign change here, between the -8x and the +4. So that means there is only 1 possible real positive root.
Now we have to look at sign changes in f(-x) to determine the possible negative real roots.

There are 3 sign changes here. That means there are either 3 negative roots or 3-2 = 1 negative root. So we have:
1 positive
3 or 1 negative
We need to pair them up now with all the possible combinations.
If we have 1 positive and 1 negative, we have to have 2 imaginary
If we have 1 positive and 3 negative, we have to have 0 imaginary
Keep in mind that the total number or roots--positive, negative, imaginary--have to add up to equal the degree of the polynomial. This is a 4th degree polynomial, so we will have 4 roots.