Basic Gemoetry Question please help

Charlie does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at lea

german

Answer:

$(x_1,y_1) = (0,9)$

$(x_2,y_2) = (6,3)$

$(x_3,y_3) = (6,12)$

Step-by-step explanation:

Given

x = hours spent on cardiovascular work

y = hours spent on weight training

From the first statement,

Each week: he spends at least 9 hours

This is represented as:

$Total \ge 9$

$x + y \ge 9$

From the second statement,

Each week: he spends a max of 12 hours on weights

This is represented as:

$Weight \le 12$

$y \le 12$

From the third statement,

Each week: he spends a max of 6 hours on cardio works

This is represented as:

$Cardio \le 6$

$x \le 6$

So, the inequalities are:

$x + y \ge 9$

$y \le 12$

$x \le 6$

See attachment for the graph where the solution are also highlighted

From the attachment, the solutions are:

$(x_1,y_1) = (0,9)$

$(x_2,y_2) = (6,3)$

$(x_3,y_3) = (6,12)$

8 0

3 years ago

Suppose that a butterfly can fly 82 feet in 4 seconds. A dragonfly can fly 50 feet in 2 seconds. Which can fly faster and by how

Lady bird [3.3K]

A butterfly can fly 82 feet in 4 seconds.

Distance traveled by butterfly = 82 feet.

Time taken by butterfly =4 seconds

Speed = distance /time

Speed of butterfly = 82/4 = 20.5 feet/second

A dragonfly can fly 50 feet in 2 seconds.

Distance traveled by dragonfly =50 feet.

Time taken by dragonfly =2 seconds.

Speed of dragonfly = 50/2 = 25 feet/second

So dragonfly can fly faster than the butterfly.

Difference in speed = speed of dragonfly - speed of butterfly = 25-20.5 = 4.5

So The dragonfly is 4.5 feet per second faster than butterfly.

Answer: B) The dragonfly is 4.5 feet per second faster.

5 0

3 years ago

Read 2 more answers

DO NOT COMMENT IF YOU AREN’T GOING TO HELP. Create a real-life situation and create a system and show how it might be modeled al

olya-2409 [2.1K]

Answer:

in today's market supply and demand fluctuates. for example the recent demand for apple air pods. They came out in 2016 but were not very popular,But with the sudden increase in demand the amount sold has increased by 75 percent from 2017 to 2018. this could be graphed using the equation. f(x)=1.75x+16

with each unit on the graph equaling 1 million on the y axis

and the amount of years along the x but you must start at 16 along the x axis

in 2017 there was 16 million air pods sold and in December 2018 28 million were sold during that year

Step-by-step explanation:

8 0

3 years ago

Let f(x) = e ^3x/5x − 2. Find f'(0).

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

Our friend asking what the actual function is has a point. I completed this under the assumption that what we have is:

$f(x)=\frac{e^{3x}}{5x-2}$ and used the quotient rule to find the derivative, as follows:

$f'(x)=\frac{e^{3x}(5)-[(5x-2)(3e^{3x})]}{(5x-2)^2}$ and simplifying a bit:

$f'(x)=\frac{5e^{3x}-[15xe^{3x}-6e^{3x}]}{(5x-2)^2}$ and a bit more to:

$f'(x)=\frac{5e^{3x}-15xe^{3x}+6e^{3x}}{(5x-2)^2}$ and combining like terms:

$f'(x)=\frac{11e^{3x}-15xe^{3x}}{(5x-2)^2}$ and factor out the GFC in the numerator to get:

$f'(x)=\frac{e^{3x}(11-15x)}{(5x-2)^2}$ That's the derivative simplified. If we want f'(0), we sub in 0's for the x's in there and get the value of the derivative at x = 0: