Answer:
option c
Step-by-step explanation:
Quadratic function f(x) = ax² + bx +c
Here the the co-efficient of x, that is a tells if the graph is wider or narrower.
1) a < 1 that is if a is decimal less than 1, then the graph is wider.
2) a > 1, then the graph is narrow.
C(s)=175s+5250
So to graph this you only need two points because it is a linear function and the velocity is constant.
When s=0, c=5250, so you have the point (0, 5250). The you can just use the next point, (1, 5425). Now you can connect the two dots and extend as far upward and to the right as necessary. Do not go to the left and down as negative s values have no meaning to this real world problem as sugar cannot be negatively shipped :P
Answer:
C. 37.5 minutes
Step-by-step explanation:
You can set up a proportion to help you figure this out.
12/15=30/x (in this proportion, the number of laps are both on the numerator and the time it takes her is on the denomiator.)
Now, just cross multiply and your equations should be: 12·x=15·30, which equals to 12x=450.
Divide 12 on both sides and x=37.5
Answer:
482190
Step-by-step explanation:
Answer: 294√3
Explanation:
1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a
2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.
3) Then you can use Pythagorean theorem fo find a:
14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3
4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3
5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
