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Gennadij [26K]
3 years ago
10

Find f (20) for f(n) = -2n +6

Mathematics
1 answer:
kiruha [24]3 years ago
3 0

Answer:

f(n) = -34

Step-by-step explanation:

n = 20

f(n) = -2(20) + 6

f(n)= -40 +6

f(n) = -34

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Find all the critical points of h(x) = x^3 − 3x^4 and categorize them as local
neonofarm [45]

Answer:

0 is an inflection point

1/4 is a local maximum.

Step-by-step explanation:

To begin with you find the first derivative of the function and get that

h'(x) = 3x^2 - 12x^3

to find the critical points you equal the first derivative to 0  and get that

3x^2 - 12x^3 = 0, x =  0,1/4

To find if they are maximums or local minimums you use the second derivative.

h''(x) = 6x-36x^2

since h''(0) = 0 is neither an inflection point, and since h''(1/4) = -3/4 then 1/4 is a maximum.

6 0
3 years ago
Write the slope -intercept form of the equation of the line passing through the point (3,5) and parallel to the line y=3x+6
quester [9]

Answer:

y = 3x - 4

Step-by-step explanation:

y - 5 = 3 (x - 3)

y -5 = 3x - 9

y = 3x - 4

7 0
3 years ago
Write an equation for a line in slope-intercept form that is parallel to y=−2x+5 and passing through the point (3,−10)
STALIN [3.7K]

Answer: y=-2x-4

Step-by-step explanation:

y=-2x+b

-10=-2(3)+b

-10=-6+b

-4=b

5 0
3 years ago
Read 2 more answers
Sketch the region that is common to the graphs of x ≥ 2,
Oliga [24]

a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

  • The graph of x ≥ 2 is the region right of the line x = 2.
  • The graph of y ≥ 0 is the region above the line y = 0 or x-axis.
  • To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

  • height = 4 units and
  • base = 4 units

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

#SPJ1

6 0
2 years ago
What is 10 times 10 times 10 times 10 times 10 in exponent form and word form what is the answer
jolli1 [7]
10^{5} in exponent form and in word form it is 10 to the 5th power
5 0
3 years ago
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