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bagirrra123 [75]
2 years ago
12

How are slope and derivatives related.

Mathematics
1 answer:
Mashutka [201]2 years ago
3 0

Answer: When you plug in an x-value into a function's derivative, the y-values you get back FROM THE DERIVATIVE tell you the slope of a tangent line to the original function at that value of x.

Step-by-step explanation:

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What is the best measure of center for the following data set?
Rom4ik [11]

Answer:

b) median: there are 7 numbers listed; 20 is the middle number among them

range: subtract lowest from highest number 25-2=23

mean: add all the numbers together =129

mode: place numbers in order (smallest to greatest), then see which number appears the most 2, 18, 18, 20, 22, 24, 25=18

Step-by-step explanation:

5 0
3 years ago
Car A travels at 35 miles per hour and Car B travels at a greater speed of x miles per hour. Choose the expression that represen
Rina8888 [55]

Answer:

-2x+25 D

Step-by-step explanation:

To determine how far it will go in an unspecified number of hours, we can let t = time in hours. The letter t will be our variable. Assuming that the car travels at the same speed, we can state that the rate is 55, and that will be our constant. The expression would then be:

Distance of car traveled in t hours, which we can denote as D(t) = 55 x t = 55t

This means that D is a function of t, and D represents the total distance traveled in t hours.

8 0
2 years ago
Read 2 more answers
Given the parent function f(x) = x², define the function g(x) that
Bas_tet [7]

Answer:

Part 1) g(x)=-x^{2}

Part 2) g(x)=(x+3)^{2}

Part 3) g(x)=x^{2}+7

Step-by-step explanation:

we have

The parent  function is f(x)=x^{2}

This is a vertical parabola open upward with vertex at origin (0,0)

Part 1) Reflection over the x-axis

The rule of the reflection across the x=axis is equal to

(x,y) ------> (x,-y)

so

f(x) -----> g(x)

The function g(x) will be

g(x)=-x^{2}

Part 2) Horizontal shift left 3 units

The rule of the translation is

(x,y) ------> (x-3,-y)

so

f(x) -----> g(x)

The function g(x) will be

g(x)=(x+3)^{2}

Part 3) Vertical shift up 7 units

The rule of the translation is

(x,y) ------> (x,y+7)

so

f(x) -----> g(x)

The function g(x) will be

g(x)=x^{2}+7

5 0
3 years ago
Read 2 more answers
Find the length of the segment indicated.
Goryan [66]

Answer:

I think the answer is 12.5

4 0
3 years ago
A class of 260 students went on a field trip. They took 12 vehicles, some cars and some buses. Find the number of cars and the n
Afina-wow [57]
The equation is 5c+25b=260 when c+b=12. rearrange that into 12-b=c. substitute and you get 5(12-b)+25b=260. b=10. 12-10=2, so 10 buses and 2 cars were used as transportation for the field trip.
5 0
3 years ago
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