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Delvig [45]
3 years ago
5

100 POINTS AND BRAINLIEST ANSWER

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
8 0

Answer:

Instantaneous rate of change = -13

Equation of tangent line : y= -2x +6

Step-by-step explanation:

the instantaneous rate of change of the function f(x) = 6x^2 - x at the point (-1,7)

To find instantaneous rate of change we take derivative

f(x) = 6x^2 - x

f'(x) = 12x-1

Now we plug in  -1 for x

f'(-1) = 12(-1)-1=-13

Instantaneous rate of change = -13

the equation of the line tangent to the function f(x) at the point (1,4)

f(x) = -x^2 + 5

To find slope of tangent line take derivative

f'(x) = -2x

Plug in 1 for x . given point is (1,4)

f'(1) = -2(1)=-2

so  slope = -2

use equation y-y1=m(x-x1)

y-4=-2(x-1)

y-4=-2x+2

Add 4 on both sides

y= -2x +6

polet [3.4K]3 years ago
5 0

Answer:

Just took the test,  

1)d, 3

2)a, -13

3) c, y=-2x+6

4) c, f'(a)=8a+2

Step-by-step explanation:

For #3, graph f(x)=-x^2+5. Next graph y=-2x+6. You will see that the added equation touches at exactly the point (1,4). this make it the tangent line equation

You might be interested in
Write the slope intercept form of an equation with a slope of 5 and y-intercept of -4
Delvig [45]

Answer:

y = 5x - 4

Step-by-step explanation:

5 is the slope so it goes in front of the x and -4 is the y Intercept so it goes last.

5 0
3 years ago
I need help with number 4 plz answer it​
Nataly_w [17]
Answer is 10 c brianliest is appreciated
3 0
3 years ago
Jenny and Chris share some prize money in the ratio 4:3. The prize money totaled $700. How much does Chris receive?
Viefleur [7K]

Answer:

Chris would get 300$

Step-by-step explanation:

This happens because if its 700$ of prize money and they are splitting 4:3 you would just take away that much away from 700 after you multiply it by 100

3 0
4 years ago
Read 2 more answers
Common core question please help!!!
Maru [420]
She has 648 shirts.

Work:
Lisa has 42 pineapples. 4 + 2 = 6
Johnny has 6 marbles.
42 + 4 + 2 + 6 = 54
54 + 5 + 4 = 63
63 + 6 + 3 = 72
But 72 is a multiple of 6!
Let's go further:
72 * 6 = 432

Now let's look at the word 'shirt'.
The middle letter is I.
I is the 9th letter of the alphabet.
Remember the number 72?
72*9 = 648
5 0
3 years ago
Help me find the anawer
antiseptic1488 [7]

Answer:

Step-by-step explanation:

∠IHG = ∠IHW + ∠WHG

36x + 2 = 16x - 3 + 65

36x + 2  = 16x  + 62

Subtract 2 from both sides

36x = 16x + 62 - 2

36x = 16x + 60      {Subtract 16x from both sides}

36x - 16x = 60

        20x = 60       {Divide both sides by 20}

            x = 60/20

x = 3

7 0
3 years ago
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