Answer:
A
Step-by-step explanation:
given the roots of a polynomial, say x = a, x = b and x = c, then
(x - a), (x - b) and (x - c) are it's factors and the polynomial is the product of it's factors.
here the roots are x = 4, x = - 5 and x = 7, hence
(x - 4), (x + 5) and (x - 7) are the factors
f(x) = a(x - 4)(x + 5)(x - 7) ← a is a multiplier
let a = 1 and expand the factors
f(x) = (x² + x - 20)(x - 7)
= x³ + x² - 20x - 7x² - 7x + 140
= x³ - 6x² - 27x + 140 → A
Answer:
The visitor should run 13 km due west from the tent
Step-by-step explanation:
Here we have;
Location of island = 3 km North of point on shoreline
Location of tent = 13 km East of point on shoreline
Running speed of visitor = 8 km/h
Swimming speed = 1 km/h
Distance of island from tent = 
Since, time = distance/speed, it will take 13.34/1 hours or 13.34 hours to swim directly to the island.
However if the visitor first runs to the closest point on the shoreline to the island, then swims across to the island, it will take;
13/8 Hr + 3/1 hr = 37/8 hours or 4.625 hours only.
Therefore, to minimize the time it takes to reach the island, the visitor has to run 13 km west of the tent to first get to the closest point of the shoreline to the island before swimming across to the island.
we can call guest x
1/3x+5/12x+69=total guests at the wedding
if we multiply 1/3 by 4 we get 4/12. we can add 4/12 to 5/12 to get 9/12 which can be reduces to 3/4. that means the vegetarian guests make up 1/4 of the wedding. if 69 is 1/4, then we have all the information we need to solve this
25% 69 ----- ------ 100% ?
we are solving for the question mark. this is just a diagram. we know 25% of the 100% of the guest and we know that we have 69 of the however many guest. multiply 100 by 69
100x69=6900
now divide 6900 by 25
6900/25=276 guests at the wedding