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ira [324]
3 years ago
10

Which one of the following statements is true?

Mathematics
1 answer:
kicyunya [14]3 years ago
3 0
The first derivitive is the slope
a positive 1st deriviive is positive slope or increasing
a negaitve 1st derivitive is negative slope or decreasing

the 2nd derivitive tells about the concavity
a negative second derivitive means it is concave down at that point
a positive 2nd derivitive means it is concave up at that point

so

first one is false
2nd is true
3rd is false because it could possibly be a minimum as well

answer is 2nd one
You might be interested in
Two third of a number is 30. find the number​
liraira [26]

Answer:

The number is 45

Step-by-step explanation:

Let number = x

2/3 x = 30

x = 30/2/3

x = 30×3/2

x = 90/2 = 45

The number is 45

2/3 ×45= 90/3 = 30

7 0
2 years ago
A parent volunteer group is raising money by making custom hats to sell at school activities. They plan to sell the hats for $12
Misha Larkins [42]

Answer:

B. (12-6) n - 50

Step-by-step explanation:

Given that:

Cost of making hat = $6 per hat

Selling price = $12 per hat

Advert cost = $50

Number of hats made = n

The profit or money raised from the sales of hat:

Total Revenue from sales - total cost of production - advert cost

Total Revenue from sales = ($12 * n) = $12n

Total cost of production = ($6 * n) = $6n

Advert cost = $50

Hence,

12n - (6n + 50)

12n - 6n - 50

(12 - 6)n - 50

8 0
3 years ago
Identify the stem of the following number: 231. <br> A. 1 <br> B. 2 <br> C. 3 <br> D. 23
Kruka [31]
stem = 23
leaf = 1

Answer is choice D

The leaf is always a single digit because you can have multiple leaves without any separating mark. If you have something like "123" on the leaf column, then that means you have three leaves of 1, 2 and 3 which correspond to the same stem.
8 0
3 years ago
Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture
ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

8 0
2 years ago
If the area of a triangular garden is 156 sq ft, and the base of this garden is 13 feet wide, what is the height?
Ilia_Sergeevich [38]

Answer:

height is =area  dived by base

Step-by-step explanation:

156 divide 13 is 12

so the answer of height is 12.......hope u understand dear

5 0
2 years ago
Read 2 more answers
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