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tankabanditka [31]
2 years ago
15

What is the slope of the tangent line through (3,2) and (x,y) for x=-2 and y=x3

Mathematics
1 answer:
Allushta [10]2 years ago
3 0
First you must derive the equation to find the slope:
  y = x ^ 3
 y '= 3x ^ 2
 Then, for x = -2 we have the slope is:
 y '(- 2) = 3 (-2) ^ 2 = 12
 Then the equation of the line with slope equal to 12 and passing through point (3,2) is:
 y = 12 (x-3) +2
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A dime has the same value as 10 pennies. marley brought 290 pennie to the bank.How many dimes did marley get?
DanielleElmas [232]

Answer:

29

Explanation:

10 pennies= 1 dime

so you divide 290÷10

which equals 29

So Marley got 29 dimes

8 0
3 years ago
24 - 11 = 13 what is the relative additions sentence
aliya0001 [1]
It's just a math equation.
5 0
3 years ago
What is the nth term rule of the quadratic sequence below? 7, 14, 23, 34, 47, 62, 79
Julli [10]

Answer:

Tn = Tn-1 + 2(n-1) + 5

Kindly note that Tn-1 means T subscript n-1

Step-by-step explanation:

Here, we want an expression for the nth term.

First term is 7

Then first common difference is 7

second common difference is 7 + 2

Third common difference is 9 + 2

So within the common differences, the nth term is 7 + (n-1) 2

Now, the nth term of the series would be;

Tn = Tn-1 + 7 + 2(n-1)

Tn = Tn-1 + 7 + 2n -2

Tn = Tn-1 + 2n + 5

Now there is a fix to this,

n for the term is not the same n for the common difference.

the 7th term works with the 6th common. difference, while the 8th term work for the 7th common difference.

So we might need to rewrite the final expression as follows;

Tn = Tn-1 + 2(n-1) + 5

6 0
3 years ago
USING SIMILAR TRIANGLES IN INDIRECT MEASUREMENT If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tal
maw [93]

Answer:

14/1.8 = x/4

Step-by-step explanation:

Using similar triangles,

height of man/length of man's shadow = height of tree/length of tree's shadow

1.8/4 = x/14

x/14 = 1.8/4

If we cross-multiply, we have

1.8 × 14 = x × 4

dividing both sides by 4 and 1.8,we have

14/4 = x/1.8

x/1.8 = 14/4

So, the two expressions we have are

x/14 = 1.8/4 and x/1.8 = 14/4.

So, the answer is 14/1.8 = x/4 since the product 1.8 × 14 = x × 4 cannot be expressed in the given ratio.

4 0
3 years ago
Lisa bought some books. She spent a total of $45 after a discount of $6 off of her total purchase. Each book cost $3. How many b
elena55 [62]

Answer:

She spent 17 books  

Equation: 45+6 = 51 and 51/3 = 17 books

8 0
2 years ago
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