Ron is a basketball coach. The table shows the height in inches of the players Ron coaches

Consider the curve y = x − x3. (a) Find the slope of the tangent line to the curve at the point (1, 0). (b) Find an equation of

Katena32 [7]

Answer:

a) mt = -2

b) y=2-2x

Step-by-step explanation:

We have $y=x-x^{3}$ ⇒ $f(x)=x-x^{3}$ and we must find

a) The slope of the tangent line to the curve at the point (1,0)

b) The equation of the tangent line in part (a)

a) $f(x)=x-x^{3}$ with the point (1,0) then f'(x) $=1-3x^{2}$ the slope (mt) in x=1 is

f'(1)= $1-3(1^{2})=1-3=-2$ , m t= -2

b) mt=-2 at the point (1,0), knowing that the pending point model is:

$y-y_{1}=m(x-x_{1})$ , we solve y-0 = -2(x-1) ⇒ y=-2x+2

7 0

1 year ago

In the equation below, b and c represent the price per pound, in dollars, of beef and chicken, respectively, x weeks after july

Bumek [7]

Answer:

D

Step-by-step explanation:

Since 1 and c are supposed to be equal, I put 2.35+0.25x=1.75+0.4x and solved that for the x. I got 4. Then, since I want to find the price of the beef, I plugged the 4 in the equation of "b" and got 3.35.

I made many mistakes when solving so I restarted many times which is why it took so long to answer. Whew, I actually found the answer though!

If you want to help, mark me brainliest, I'm only 1 away from getting virtuoso! That would make my day, and hope I made yours.

Bye!

4 0

2 years ago

a motor boat traveled 18 miles down a river in 2 hours but took 4.5 hours to return upstream. Find the rate of the motor boat in

tangare [24]

Answer:

rate of the boat in still water = 6.5 miles / hour

rate of the current = 2.5 miles / hour.

Explanation:

1) Name the two variables:

c: rate of the current

b: rate of the boat in still water:

With that, the net rates of the boat down the river and upstrean are:

down the river: b + c

upstream: b - c

2) Now set the equations for the distance as a function of the times and the rates:

distance = rate × time

downstream: 18 miles = (b + c) × 2 hours

upstream: 18 miles = (b - c) × 4.5 hours

3) Set the system of equations:

18 = 2(b + c) ⇒ 9 = b + c . . . Equation (1)

18 = 4.5 (b - c) ⇒ 4 = b - c . . . Equation (2)

4) Solve the system by elimination:

Add equations (1) and (2): 9 + 4 = 2b

Divide both sides by 2: 13/2 = b

Simplify: b = 6.5

Replace b with 6.5 in equation (2) and solve:

4 = 6.5 - c ⇒ c = 6.5 - 4 = 2.5

5) Results:

b = rate of the boat in still water = 6.5 miles / hour

c = rate of the current = 2.5 miles / hour.

3 0

1 year ago

Read 2 more answers

Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job. Casey correc

ZanzabumX [31]

which of the two landscapes to hire each landscapes charger an hour rate plus a fee for each job the result of the equator into 20 $20 for 5 hours both landscape charge the same hour rate but not the same fee per job give me your answer

7 0

1 year ago

Read 2 more answers

Apply the distributive property to factor out the greatest common factor. 12 + 20 =

guajiro [1.7K]

We can use prime factorization to find the GCF:

$12 = 3^1 \cdot 4^1$

$20 = 4^1 \cdot 5^1$

The greatest value both 12 and 20 share is 4. By factoring this out of the equation, we get:

4(3 + 5) = 4(8) = 32

6 0

1 year ago