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3 years ago

Y = (2/3)x - 1 y = -x + 4

Mathematics

1 answer:

Vinil7 [7]3 years ago

7 0

Are these two separate questions?

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The function f(x) = 2x + 510 represents the number of calories burned when exercising, where x is the number of hours spent exer

riadik2000 [5.3K]

Answer: 789 calories burned while combining diet with 2 hours of exercise

Step-by-step explanation:

we have that

$f(x)=2x+510$

$g(x)=200x-125$

we know that

$(f+g)(x)=f(x)+g(x)$

substitute

$(f+g)(x)=2x+510+200x-125$

$(f+g)(x)=202x+385$

Find $(f+g)(2)$

For x=2 hours

substitute

$(f+g)(2)=202(2)+385$

$(f+g)(2)=789\ calories$

therefore

The answer is

789 calories burned while combining diet with 2 hours of exercise

8 0

3 years ago

A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven

Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y) = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$ .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$ .............(ii)

Solving (i) and (ii),

4 x (i) ⇒ 272x - 32y = 400

(ii) ⇒ (-<u>) 8x - 32y = -50 </u>

264x = 450

∴ $x=\frac{450}{264}=\frac{75}{44}$

$y=\frac{175}{88}$

So, x ≈ $ 1.70 and y = $ 1.99

R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0

3 years ago

louise skip counts by 4 on a number line to find 5 x 4 how many jumps should she draw in the number line

saul85 [17]

<h3>Answer:</h3>

It depends:

4 if she starts at 4
5 if she starts at 0

<h3>Explanation:</h3>

Louise needs to end up a total of 5 times 4 away from zero.

If she starts at 4, which is 1 times 4, then she needs to jump 4 more times, to 2, 3, 4, 5 times 4.

If she starts at 0, then she needs to jump 5 times to 1, 2, 3, 4, 5 times 4. (The values at the end of each jump will be {4, 8, 12, 16, 20}.)

4 0

3 years ago

what is the answer help me

tankabanditka [31]

Answer:

B. 30°

Step-by-step explanation:

By remote interior angle theorem:

100° = x + 70°

100° - 70° = x

30° = x

x = 30°

6 0

3 years ago

Read 2 more answers

I need help on this question?

Lera25 [3.4K]

Gvcffbbbbhhffdxc.Fs wf ye

8 0

2 years ago