Answer:
Add 7 black beads
Step-by-step explanation:
Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.
There are three white beads in the picture.
Total beads we will have (<em>b</em> meaning black) b : 3
Ratio black : white beads 3 : 1
Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.
Find common ratio by dividing total by ratio white beads: 3/1 = 3
Multiply ratio black beads by common ratio. 3 X 3 = 9
<u>We need 9 black beads in total</u>.
Check answer
9 : 3 Both sides divisible by 3; reduce ratio
= 3 : 1 Correct ratio
There will be a total of 9 black beads, but we already have 2 black beads:
(9 total) - (2 original) = (7 to add)
Therefore we need to add 7 black beads.
Answer:
cubic polynomial
Step-by-step explanation:
Given polynomial is ![\[h(x)=-6x^{3}+2x-5\]](https://tex.z-dn.net/?f=%5C%5Bh%28x%29%3D-6x%5E%7B3%7D%2B2x-5%5C%5D)
A polynomial of degree 1 is a linear polynomial.
A polynomial of degree 2 is a quadratic polynomial.
A polynomial of degree 3 is a cubic polynomial.
In this case the exponent with the maximum value in the polynomial is 3.
Hence the degree of the polynomial h(x) is 3.
Hence the given polynomial is a cubic polynomial.
Well 40 times 6 is 240 which means that you don't have to round.
If this is a parabolic motion equation, then it is a negative parabola, which looks like a hill (instead of a positive parabola that opens like a cup). Your equation would be h(t)= -16t^2 + 20t +3. That's the equation for an initial velocity of 20 ft/s thrown from an initial height of 3 ft. And the -16t^2 is the antiderivative of the gravitational pull. Anyway, if you're looking for the maximum height and you don't know calculus, then you have to complete the square to get this into vertex form. The vertex will be the highest point on the graph, which is consequently also the max height of the ball. When you do this, you get a vertex of (5/8, 9.25). The 9.25 is the max height of the ball.
