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lisov135 [29]
3 years ago
15

Select all correct answers

Mathematics
1 answer:
Sveta_85 [38]3 years ago
3 0

Answer:

1, 2, 4

Step-by-step explanation:

Consider all options:

1. 3x+9y=54

Express y:

9y=54-3x\\ \\y=6-\dfrac{1}{3}x

This is the equation in the form

y=mx+b,

so this is a linear function.

2. y=\dfrac{x}{3}

can be rewritten as

y=\dfrac{1}{3}x+0

This is the equation in the form

y=mx+b,

so this is a linear function.

3. y=x(2x-3)

This function is equivalent to the function

y=2x^2-3x

This is quadratic, not linear function.

4. y=0.4x-2.2

This is the equation in the form

y=mx+b,

so this is a linear function.

5. \dfrac{2}{x}-8=y

This is not linear function, because x is in the denominator.

6. y=\sqrt{4x}

This is not linear function because there is a squer root of x.

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The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy
Serjik [45]

The Pythagorean's Theorem for our situation would look like this:

shortleg^2+longleg^2=hypotenuse^2

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

s^2+(2s+4)^2=(2s+6)^2

And of course we have to expand. Doing that will leave us with

s^2+4s^2+8s+8s+16=4s^2+12s+12s+36

Combining like terms we have

5s^2+16s+16=4s^2+24s+36

Our job now is to get everything on one side of the equals sign and solve for s

s^2-8s-20=0

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

6 0
3 years ago
I need the first and second one, please anyone
tia_tia [17]

Answer:

f(-1) = 0

f(2) = 16

Step-by-step explanation:

f(-1) = 4(-1) + 4 = 0

f(2) = 4(2) + 8 = 16

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ANEK [815]

Answer:

12/13

Step-by-step explanation:

m=(-6-6)/(-7-6)=-12/-13=12/13

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nevsk [136]

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Step-by-step explanation:

8/9=0.8888888889

2/3=0.6666666667

4/5=0.8

3 0
3 years ago
What are some good electronics that I can buy on Amazon?
Ksivusya [100]

Answer:

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Step-by-step explanation:

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