Answer:
Step-by-step explanation:
x-intercepts are SOLUTIONS to a quadratic whereas when you put those solutions into factor form (in a set of parenthesis), you have the FACTORS of the quadratic. They are the same thing generally, they are just written in different forms. For example, if a solution to a quadratic is x = 3, it has been understood that x = 3 when y = 0. Therefore, if x - 3 = y and y = 0, then x - 3 = 0. Solving that for x, you get x = 3. That factor of x = 3 is (x - 3).
Following that logic, for a:
If the x intercepts are x = 0 and x = 3, it is understood that x + 0 = 0 so x = 0 and the factor is (x + 0) (it could also be x - 0 since adding 0 is the same as subtracting 0); if x = 3 it is understood that x - 3 = 0 and the factor is (x - 3).
For b:
If the x-intercepts are x = -1 and x = 1, then originally the factors were (x + 1) and (x - 1). Again, set each of those equal to 0 and solve for x (THE X-INTERCEPT EXISTS WHERE Y = 0!)
For c:
If the x-intercepts are x = -5 and x = 10, then originally the factors were (x + 5) and (x - 10).
For d:
If the x-intercept is a fraction, do the same thing:
x = 1/2 so
x - 1/2 = 0 Now multiply both the x and the 1/2 by a 2 to get the factor (2x - 1) and the other factor from x = 4 is (x - 4)
9514 1404 393
Answer:
not similar
Step-by-step explanation:
Similar polygons have all corresponding angles congruent, and corresponding sides proportional.
The sides lengths guarantee the polygons are parallelograms, so one pair of angles being congruent is sufficient to ensure that all corresponding angles are congruent.
The ratio of side lengths in the left polygon is 13/8, and the ratio of side lengths in the right polygon is 5.2/2.4 = 13/6. These are different ratios, so the corresponding sides are NOT proportional.
The figures are NOT SIMILAR.
<span>We are given f(1) = 0 and f(2) = 1.
Going forward, the term is the sum of the two previous terms.
f(3) = f(2) + f(1) = 0 + 1 = 1.
f(4) = f(3) + f(2) = 1 + 1 = 2
f(5) = f(4) + f(3) = 2 + 1 = 3
This matches answer B.</span>
Answer:
Rounded to the nearest tenth: 2,252.5
Step-by-step explanation:
This number can't be a whole number since there is a decimal.
