If (a+b) = 4 and ab = 3, find the value of a³+b³.

Mathematics

1 answer:

Stolb23 [73]3 years ago

8 0

Answer:

Step-by-step explanation:

a³+b³= (a+b)³ - 3ab(a+b)

= 4³ -3×3×4 = 64-36 = 28

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m_a_m_a [10]

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4 years ago

H(t) = –16t2 + 14t find the maximum height

guajiro [1.7K]

The height is represented as y and the time is represented as x.

To find the maximum height (since this is a parabola that faces downwards) we need to find the vertex.

Vertex (x) = $\frac{-(b)}{2a}$

b = 14
a = -16

Substitute
$\frac{-14}{2(-16)} = \frac{-14}{-32} = \frac{7}{8}$

Now plug 7/8 to t
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4 years ago

Read 2 more answers

Perfect pizza has 16 toppings listed on their menu. how many ways could a customer choose a pizza that contains 5 different topp

marishachu [46]

Answer:

4368 ways

Step-by-step explanation:

Use nCk for this. 16C5. This is $\frac{n!}{(n-k)!(k!)}$ . This becomes $\frac{16!}{(11!)(5!)}$ . This is $\frac{16*15*14*13*12}{5*4*3*2*1}$ due to 16! and 5! canceling out. This becomes 4368.