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3 years ago

Find the slope line (- 6, 1), (4, 8)

Mathematics

1 answer:

AVprozaik [17]3 years ago

6 0

Answer:

The slope is $\frac{7}{10}$

Step-by-step explanation:

☆Remember:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

☆We just plug in now!

$m = \frac{8 - 1}{4 - ( - 6)} = \frac{7}{10}$

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Which sets of side lengths could form a triangle

olga2289 [7]

A
No 9 is bigger than the other 2 added together.
B
3+ 6 = 9. A triangle cannot be formed.
C
4+5 = 9. A triangle cannot be formed. The shorter two will just make the length of the longest side. No triangle made.
D
Yes 4+6 > 9 A triangle will be formed.
E
Yes 5 + 5 = 10 which is greater than 9. A triangle will be formed.

5 0

3 years ago

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).

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3 years ago

A race walker completed a 13 mile walk in 2.5 hours. What is the walker's speed per hour?

Viktor [21]

Answer:

5.2mph

Step-by-step explanation:

Speed =distance/time

13/2.5=5.2 mph

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Answer: idk sorry

Step-by-step explanation:

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