Which graph represents the linear function y=1/4x-3

Mathematics

1 answer:

Vilka [71]3 years ago

7 0

Answer:

The graph with a y-intersect of (0, -3) and x-intercept of (12, 0)

Step-by-step explanation:

So the graph goes 1 unit up every 4 units to the right

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arman needs 4 1/2 inches of cable to make A,3 3/4 inches to make B, and 5 1/8 inches to make C. He used a 12 inch piece of cable

Kaylis [27]

4 1/2 + 3 3/4 = 4 2/4 + 3 3/4 = 7 5/4 = 8 1/4...what he needs for A and B

He used 12 inches of cable...
12 - 8 1/4 = 11 4/4 - 8 1/4 = 3 3/4....length left after A and B are made

he doesn't have enough to make the last one...
5 1/8 - 3 3/4 = 41/8 - 15/4 = 41/8 - 30/8 = 11/8 = 1 3/8....he is short by 1 3/8 inches

6 0

4 years ago

The family of solutions to the differential equation y ′ = −4xy3 is y = 1 √ C + 4x2 . Find the solution that satisfies the initi

slega [8]

Answer:

The correct option is 4

Step-by-step explanation:

The solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}$

Now for the initial condition the value of C is calculated as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(-2)=\frac{1}{\sqrt{C+4(-2)^2}}\\4=\frac{1}{\sqrt{C+4(4)}}\\4=\frac{1}{\sqrt{C+16}}\\16=\frac{1}{C+16}\\C+16=\frac{1}{16}\\C=\frac{1}{16}-16$

So the solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}$

Simplifying the equation as

$y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1-256+64x^2}{16}}}\\y(x)=\frac{\sqrt{16}}{\sqrt{{1-256+64x^2}}}\\y(x)=\frac{4}{\sqrt{{1+64(x^2-4)}}}$