3 years ago

4y+2x=180 solve for x and y

Mathematics

1 answer:

kirill [66]3 years ago

5 0

There you go!! Hope it helps

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i think it is 500.96

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3 years ago

A store manager makes $800 per week plus $8 per hour for every extra hour worked past 40.

olchik [2.2K]

part a

$800+8x=y

800 is the money the store manager makes a week

8 is how much money the manager makes per every hour that is worked extra

x is the amount of extra hours the manager works

y is the amount of money he makes all together

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3 years ago

A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

AURORKA [14]

Answer:

For maximum area, all of the wire should be used to construct the square.

The minimum total area is obtained when length of the wire is 10m

Step-by-step explanation:

For maximum, we use the whole length

For minimum,

supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = $\frac{x^{2} }{16}$

For the equilateral triangle, the length of the side = $\frac{23 - x}{3}$

Area = $\frac{\sqrt{3} }{4} a^{2} = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}$

Total Area = $\frac{x^{2} }{16}$ + $\frac{\sqrt{3} }{36} (23-x)^{2}$

$\frac{dA}{dx} = \frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x)\\$

$\frac{d^{2}A }{dx^{2} } = \frac{1}{8} + \frac{\sqrt{3} }{18} > 0$ , therefore it is minimum

$\frac{dA}{dx} = 0 \\\\$

$\frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x) = 0\\$

x = 10.00m

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3 years ago

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Linea ab pases through points a (-6,7) and b(-6,-3) as shown on the coordinate grid below

hoa [83]

Answer:

x= -6

Step-by-step explanation:

Notice that a(-6,7) and b(-6,-3) have the same x-coordinate (-6). This means that x is constant and that the line is a vertical one (x = -6).

The equation of the line through these two points is x = -6.

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3 years ago

The table above shows some values of the functions f

Margarita [4]

Answer:

Step-by-step explanation:

g(1)=5

f(g(1))=f(5)

f(5)=2

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3 years ago