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3 years ago

Elly's bank offers car financing for 3, 4, or 5 years. If Elly chooses 4-year

Mathematics

1 answer:

myrzilka [38]3 years ago

5 0

Answer: 48

Step-by-step explanation: just got it right on ap3x

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TENNIS In tennis, the Grand Slam tournaments

marin [14]

Nadal = federer-3 = 17-3 = 14

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3 years ago

Find an expression for a cubic function f if f(4) = 96 and f(-4) = f(0) = f(5) = 0. Part 1 of 4 A cubic function generally has t

Bezzdna [24]

Given a polynomial $p(x)$ and a point $x_0$ , we have that

$p(x_0) = 0 \iff (x-x_0) \text{\ divides\ } p(x)$

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

$(x+4)(x)(x-5) = x(x+4)(x-5)$

Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

$f(x) = ax(x+4)(x-5),\quad a \in \mathbb{R}$

To fix the correct value for a, we impose $f(4)=96$ :

$f(4) = 4a(4+4)(4-5) = -32a = 96$

And so we must impose

$-32a=96 \iff a = -\dfrac{96}{32} = -3$

So, the function we're looking for is

$f(x) = -3x(x+4)(x-5)=-3x^3+3x^2+60x$

4 0

3 years ago

Suppose an airline policy states that all baggage must be box shaped with a sum of length, width, and height not exceeding 114

NISA [10]

Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h. Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows: 2s + h = 114 in. Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

This is to be maximized. To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:

----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2

Simplifying this, we get dV/ds = -4s^2 + 114s = 0. Then either s = 28.5 or s = 0.

Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in

and the volume is V = s^2(h) = 46,298.25 in^3

7 0

3 years ago

Compare adding unlike fractions and adding like fractions

muminat

Answer:

We just add numerators and rewrite denominator.

Adding unlike dominators:

We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.

Step-by-step explanation:

You mean unlike denominators and like denominators.

Adding like dominators: We just add numerators and rewrite denominator :

Example : $\frac{1}{4} +\frac{2}{4}=\frac{1+2}{4} =\frac{3}{4}$

Adding unlike dominators:

We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.

For example :

$\frac{1}{5}+\frac{3}{4}$

LCM for 5 and 4 is 20 : Now, divide by 5 and multiply by 1 for first fraction. 20 divide by 4 and multiply by 3 :

$\frac{1*4}{20} +\frac{3*5}{20}=\frac{4}{20} +\frac{15}{20}=\frac{19}{20}$

4 0

3 years ago

Read 2 more answers

How do you make an array of 5/6 x 3/4 ?

oee [108]

Well 5/6 x 3/4 is 15/24 so you’d do 24 dots across in 15 rows

7 0

3 years ago