Ask question

Ask question

All categories

3 years ago

6

If the tangent line to y = f(x) at (7, 4) passes through the point (0, 3), find f(7) and f '(7).

1 answer:

jarptica [38.1K]3 years ago

4 0

Hello :
f'(7) = the slope of the tangent line : let A(7,4) B(0,3)<span>
<span>the slope is : (YB - YA)/(XB -XA)= (3-4)/(0-7) = -1/-7 = 1/7=f'(7)
the equation of the tangent line is :
y-3 = 1/7 (x-0)
y = (1/7)x+3
the line tangent and the graph of : f </span></span><span>passes through the point A(7, 4)
x= 7 y=4 so : f(7) =4</span>

You might be interested in

Use to model the problem draw the block to show your work

natulia [17]

First of all be more spusific in your question

3 0

3 years ago

Please need help asap!

beks73 [17]

Answer:

66

Step-by-step explanation:

(z-33)/z = 1/2

2z-66=z

z=66

6 0

3 years ago

I NEED SOMEONE TO SOLVE THESE FOR ME. I NEED THE WHOLE PROBLEM SOLVED NOT JUST THE ANSWER.

dimaraw [331]

Answer:

1. x=11/4

Step-by-step explanation:

$\frac{3}{5} x - \frac{3}{4} = \frac{9}{10}$

u should x 20 then u will get

$12x - 15 = 18$

$12x = 18 + 15$

$12x = 33$

$x = \frac{33}{12}$

$x = \frac{11}{4}$

8 0

3 years ago

Read 2 more answers

Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the en

Kryger [21]

Answer:

input= starting amount

output= withdrawals

(5,442) and (13,226)

Step-by-step explanation:

for input its what you put in the account for output its for what you take out.

And for the two points it the months first then you put how much money was left .

Hope this helps!

5 0

2 years ago

Ron wants to buy a video game with a selling price of $48. It is on sale for 50% off. The sales tax in his state is 4.5%.

erica [24]

Answer:

50 1/6% (50 and one sixth) or $22.92

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers