3x - 7 + 6 = 7x + 6
First shift all the pure numbers to one side
3x = 7x + 6 + 7 - 6
Now add up the pure numbers
3x = 7x + 7
Shift the 7x to the other side
3x - 7x = 7
-4x = 7
Divide 7 by - 4
X = - 1.75

3 0

3 years ago

The slope of the the tangent line to a curve at a point. Calc derivative help

pickupchik [31]

Answer:

y = 108x + 216

Step-by-step explanation:

given

y = 4x³ then $\frac{dy}{dx}$ = 12x² = $m_{tgt}$

x = 3 ⇒ m = 12(- 3)² = 108

equation of tangent in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept ), hence

y = 108x + b

To find b substitute (- 3, - 108) into the equation

- 108 = -324 + b ⇒ b = - 108 + 324 = 216

y = 108x + 216 ← equation of tangent

5 0

3 years ago

Left on together, the cold and hot water faucets of a certain bathtub take 8 minutes to fill the tub. If it takes the cold wate

MArishka [77]

Cf=cold faucet rate
hf=hot faucet rate

cf*18min=1 tub
(cf+hf)*8min=1 tub
cf+hf=1tub/8min
cf=1tub/18min
hf=(1/8-1/18)tubs per minute
hf=5/72

It takes 14.4 minutes.

7 0

3 years ago