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QveST [7]
3 years ago
15

Which of the following is the inverse y=3x

Mathematics
1 answer:
Nitella [24]3 years ago
3 0
To find an inverse, switch the x and the y and solve for the new y.  Yours switched is x = 3y.  Now solving for y we divide both sides by 3 to get y = x/3
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Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?
Yanka [14]

Answer:

f(x) = (x + 19)(x^2 + 1)

Step-by-step explanation:

Complex numbers:

The following relation is important for complex numbers:

i^2 = -1

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

Has zeros −19 and −i

If -i is a zero, its conjugate i is also a zero. So

f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)

Output of 40 when x=1

This means that when x = 1, f(x) = 40. We use this to find the leading coefficient a. So

f(x) = a(x + 19)(x^2 + 1)

40 = a(20)(2)

40a = 40

a = 1

The polynomial is:

f(x) = (x + 19)(x^2 + 1)

3 0
3 years ago
9. The formula V = wh is the volume formula for a rectangular prism. Find the length
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Answer c 10cm
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From number 2 and 3, The baker sends al his bread to one store if he can pack up to 15 loaves of bread in a box for shipping wha
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8 0
3 years ago
How many solutions does this system have?
marissa [1.9K]

Answer:

No solution.

Step-by-step explanation:

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Second equation when divided by two can be written as 5x - y = -1.

We can see that these lines are parallel and therefore doesn't intersect.So no solution.

7 0
4 years ago
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Oxana [17]
It would be 21 as a percent and 0.21 as a decimal
4 0
3 years ago
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