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3 years ago

9

You are buying hamburgers and french fries for lunch for you and your friends. It costs $3 for a hamburger and $2 for a basket o

f fries. You have
$18 to pay for lunch. Which linear equation represents the number of
items you can buy?

1 answer:

quester [9]3 years ago

6 0

Answer:

both

Step-by-step explanation:

$3x2=$6(for hamburgers) and $2x2=$4(basket of fries.)

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Find the absolute maximum and minimum values of the function below. f(x) = x3 − 9x2 + 3, − 3 2 ≤ x ≤ 12 Solution Since f is cont

Neko [114]

Answer:

There are an absolute minimum (x = 6) and an absolute maximum (x = 12).

Step-by-step explanation:

The correct statement is described below:

Find the absolute maximum and minimum values of the function below:

$f(x) = x^{3}-9\cdot x^{2}+ 3$ , $2 \leq x \leq 12$

Given that function is a polynomial, then we have the guarantee that function is continuous and differentiable and we can use First and Second Derivative Tests.

First, we obtain the first derivative of the function and equalize it to zero:

$f'(x) = 3\cdot x^{2}-18\cdot x$

$3\cdot x^{2}-18\cdot x = 0$

$3\cdot x \cdot (x-6) = 0$ (Eq. 1)

As we can see, only a solution is a valid critical value. That is: $x = 6$

Second, we determine the second derivative formula and evaluate it at the only critical point:

$f''(x) = 6\cdot x -18$ (Eq. 2)

x = 6

$f''(6) = 6\cdot (6)-18$

$f''(6) =18$ (Absolute minimum)

Third, we evaluate the function at each extreme of the given interval and the critical point as well:

x = 2

$f(2) = 2^{3}-9\cdot (2)^{2}+3$

$f(2) = -25$

x = 6

$f(6) = 6^{3}-9\cdot (6)^{2}+3$

$f(6) = -105$

x = 12

$f(12) = 12^{3}-9\cdot (12)^{2}+3$

$f(12) = 435$

There are an absolute minimum (x = 6) and an absolute maximum (x = 12).

6 0

3 years ago

What is the inverse function of v(x) = 2/3 x - 1/6

vlabodo [156]

I dont know if this is right but I got: (6x+1)/4

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3 years ago

A sequence is formed by adding 1 to each square number.

MrRa [10]

Answer:

32 nd term

Step-by-step explanation:

The formula for the sequence is

n² + 1 ( that is 1 added to each square number )

Equate to 1025 and solve for n

n² + 1 = 1025 ( subtract 1 from each side )

n² = 1024 ( take the square root of both sides )

n = $\sqrt{1024}$ = 32

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3 years ago

Im not sure where to start with this one...<br>

Nina [5.8K]

The volume of a cube is side length cubed (s^3)
So if you know the volume then take the cube root of 1/512... which is 1/8

So each side of the cube is 1/8.

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Find f(2) if f(x)=2x+1

Finger [1]

$f(x) =2 x+1 \\\\ \text{If x = 2,}\\\\f(2) = 2(2) +1 = 4+1 = 5$

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2 years ago

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