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gizmo_the_mogwai [7]
3 years ago
6

Solve by completing the square. X^2-2x-15=0 (help)

Mathematics
2 answers:
gladu [14]3 years ago
8 0

Step-by-step explanation:

x² - 2x - 15 = 0

x1 = 5

x2 = -3

DiKsa [7]3 years ago
3 0
The answer to this problem is (5,3)
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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 does w equal in 3w + 7 = 19
EleoNora [17]

Answer:

w=4

Step-by-step explanation:

So we have the equation:

3w+7=19

Subtract 7 from both sides:

3w=12

Divide both sides by 3:

w=4

So, the value of  w is 4.

And we're done!

3 0
4 years ago
Read 2 more answers
Sally has made a scale drawing of the airplane, in which the wingpsan is 10 inches and the tailspan is 3 inches. What is the act
Alina [70]
My first impulse is to say you don't provide enough info with which to solve this problem.  We need to know how many inches in the model correspond to 1 foot in the actual plane (that is, the scale factor).  What is the scale factor here?


4 0
4 years ago
La gatita de Catalina a los 2 meses de vida tenía un peso de 0,85 kg. A los 12 meses posee un peso de 2,25 kg ¿Cuál fue el porce
Evgen [1.6K]

Answer:

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5 0
3 years ago
2/3
Veronika [31]

Answer:

2/3

4

3.

An airplane is flying from New York City to Los Angeles. The distance it travels in

miles, d, is related to the time in seconds, t, by the equation d = 0.15t.

d= 0.15

1

0.157

t

(seconds)

1

30

d

(miles)

0.15

0.15 x 1

0.15 x 30

12.75

a.

How fast is it flying? Be sure to include the units.

b.

How far will it travel in 30 seconds?

C.

How long will it take to go 12.75 miles?

4.

Crater Lake in Oregon is shaped like a circle with a diamet

Step-by-step explanation:

7 0
3 years ago
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