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2 years ago

Which graph represents this function f(x)=1/2x-5

Mathematics

2 answers:

KiRa [710]2 years ago

8 0

Answer:

Graph B

Step-by-step explanation:

Without even having to look at the numbers, we can see the answer is graph B because the slope in the function is positive, and B is the only positive graph! (rising when approaching positive infinity)

Hope this helped! :)

Readme [11.4K]2 years ago

7 0

Answer:

The first graph(Left)

Step-by-step explanation:

Because in this form 1/2 is the slope and -5 is the y intercept.

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3 years ago

An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A.

vova2212 [387]

Answer:

10 ounces of milk and 50 ounces of orange juice

Step-by-step explanation:

Let the amount of milk be x ounces and the amount of orange juice be y ounces.

1. An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A. Then x ounces of milk contain 20x milligrams of calcium and 60x micrograms of vitamin A.

2. An ounce of orange juice contains 40 milligrams of calcium and 10 micrograms of vitamin A. Then y ounces of orange juice contain 40y milligrams of calcium and 10y micrograms of vitamin A.

Calcium:

20x milligrams in milk

40y milligrams in orange juice

2,200 milligrams in total

Hence,

$20x+40y=2,200$

Vitamin A:

60x micrograms in milk

10y micrograms in orange juice

1,100 micrograms in total

Hence,

$60x+10y=1,100$

Solve the system of two equations:

$\left\{\begin{array}{l}20x+40y=2,200\\ \\60x+10y=1,100\end{array}\right.$

Divide each equation by 10:

$\left\{\begin{array}{l}2x+4y=220\\ \\6x+y=110\end{array}\right.$

From the second equation:

$y=110-6x$

Substitute it into the first equation:

$2x+4(110-6x)=220\\ \\2x+440-24x=220\\ \\2x-24x=220-440\\ \\-22x=-220\\ \\22x=220\\ \\x=10\\ \\y=110-6\cdot 10=110-60=50$

6 0

3 years ago

Find the volume of this object.

vredina [299]

Answer:

504 ft^3

Step-by-step explanation:

Ok, so we have the equation for the cylinder as well as the rectangular prism. Basically we're just going to find the volume of each of them separately and then add them together.

Let's start with the cylinder:

V(cylinder) = pi*r^2*h

pi = 3

d = 4ft

r = d/2 = 4/2 = 2ft

h = 12ft

V(cylinder) = (3)*(2^2)*(12)

V(cylinder) = 3*4*12

V(cylinder) = 144 ft^3

Now the rectangular prism:

V(rectangular prism) = l*w*h

l = 10ft

w = 6ft

h = 6ft

V(rectangular prism) = 10*6*6

V(rectangular prism) = 360 ft^3

Now we can add them together:

V(total) = 360 + 144

V(total) = 504 ft^3

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2 years ago