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fomenos
3 years ago
15

What is the slope of the tangent line through (0,-3) and (x,y) for y = 3x2 - 3 and x=1?

Mathematics
1 answer:
julsineya [31]3 years ago
4 0
First you must derive the equation to find the slope:
 y = 3x ^ 2 - 3
 y '= 6x
 Then, for x = 1 we have the slope is:
 y '(1) = 6 (1) = 6
 Then the equation of the line with slope equal to 6 and passing through point (0, -3) is:
 y = 6x - 3
 The slope is m = 6
You might be interested in
8d = –56<br><br><br> –448<br><br><br> –7<br><br><br> –64<br><br><br> –48
LekaFEV [45]
8d = -56
Divide both sies by 8:-
d = -56/8

d = -7 (answer)
3 0
3 years ago
Two pitchers, Jerry and Louis, want to find out who has the faster pitch when compared to each of their teams. Jerry has a speed
saul85 [17]

Answer:

Louis has faster pitch when compared to each of their teams.

Step-by-step explanation:

We have two pitchers which we need to compare to each of their teams.

To calculate this, we will approximate the distributions to a normal distribution, and calculate the z-score, to know what proportion of players of their team fall below their score.

For Jerry, he has a speed of 86 and his team has a mean speed of 93 and standard deviation of 3.

We can calculate the z-score for Jerry speed as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{86-93}{3}=\dfrac{-7}{3}= -2.333

The proportion of players that are below Jerry speed is approximated by the standard normal distribution:

p=\Phi(z

For Louis, his speed is 84 and his team has a mean speed of 89 and standard deviation of 3.5.

We can calculate the z-score for Jerry speed as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{84-89}{3.5}=\dfrac{-5}{3.5}= -1.429

The proportion of players that are below Louis speed is approximated by the standard normal distribution:

p=\Phi(z

As the proportion of players of Louis team that are below Louis speed is much bigger than the proportion of players of Jerry's team that are below Jerry speed, we can say that Louis has faster pitch when compared to each of their teams.

6 0
3 years ago
What is the value of x? please help me! <br><br> A. 43<br> B. 62<br> C. 105<br> D. 115
Valentin [98]

Answer:

C

Step-by-step explanation:

x is the exterior angle of angle EFG while EFG = 180 - 62 - 43 = 75

—> x = 180 - 75 = 105

6 0
2 years ago
Which system of inequalities has no solution?
Luda [366]

Answer:

i think c

Step-by-step explanation:

4 0
2 years ago
(02.03)Tony bought 3 tickets to a concert for $78. How much will it cost for 6 tickets to the concert if all tickets have the sa
djverab [1.8K]

Answer:

26$ Per ticket

missing number is 156$

Step-by-step explanation:

Find how much each ticket is by dividing 78 by 3 which is 26 the multiply 26 and 6 to find the missing number hope this helped :)

8 0
3 years ago
Read 2 more answers
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