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tamaranim1 [39]
3 years ago
8

Write and equation in slope intercept form of a line that has a slope of 1/3 and passes through the point (6,0)

Mathematics
1 answer:
ladessa [460]3 years ago
3 0

y=(1/3)x-2

Step-by-step explanation:

the slope-intercept form is y-y1=m(x-x1)

hence, y-0=1/3(x-6) or y=(1/3)x-2

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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
the coach for a basketball team wants to buy new shoes for her 12 players. super sport is offering a 20%discount on each pair of
Klio2033 [76]
Here are the calculations for Super Sport:

[12 ($72.50 x 0.8)] 1.065 = $741.24

Here is the math for Double Dribbles:

[12($54.75 x 1.09)] + (12 x $5.99) = $788.01

$788.01 - $741.24 = $46.77

The difference in price is $46.77.

6 0
3 years ago
What law can be used to determine that the conclusion is valid based on the given statements
ryzh [129]

Answer:

A. Law of detachment

Step-by-step explanation:

The Law of detachment implies that when one condition is fulfilled the other cannot be and vice versa, then it is made the conclusion.

This condition is made the conclusion.

The Acute and Obtuse are detached of each other.

The acute angle is one in which the value of the angle is less than 90 degrees and obtuse angle is one in which the angle is greater than 90 degrees but less than 180 degrees.

Thus angles less than 90 degrees are acute and greater than 90 degrees are obtuse.

The conclusion of the given statement  is valid based on the law of detachment as the condition has been made a conclusion.

8 0
3 years ago
Help Wegnerkolmp2741o i need ur help!
melamori03 [73]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
98 POINTS!!!!! PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Maslowich

Hello!

I believe the answer is C.

I hope it helps!

3 0
3 years ago
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