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Over [174]
3 years ago
5

Susie has 126 pink beads and 147 white beads to make bracelets with. She must make more than one bracelet and each bracelet is i

dentical to the other. Choose the value from each box that makes the statement.
If Susie uses all of the beads, each bracelet will have (6), (7), (21), (126), pink beads and (7), (6), (21), (127) white beads​
Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0

Answer:

6 pink and 7 white

Step-by-step explanation:

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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
Why should money for eating out at a restaurant be taken from the entertainment budget instead of from the food budget?
denis23 [38]
Hello,

i would go for A)
take it as a guess 
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State the value of the discriminant for the equation,<br> 3x^2 + 7x + 3 = 0
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Step-by-step explanation:

If you remember the quadratic equation formula;

x=\frac{-b\frac{+}{}\sqrt{b^2-4ac}  }{2a}

You can easily extract what is under the root to find the discriminant.

b^2-4ac=?\\

a = 3

b = 7

c = 3

(7)^2-4(3)(3)\\49-36=13

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A four sided figure with 90° angles and two sets of opposite sides that are parallel and congruent is called a _________________
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