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IRISSAK [1]
3 years ago
13

Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

Mathematics
1 answer:
kogti [31]3 years ago
6 0

9514 1404 393

Answer:

  f(x) = x³ -5x² +2x +8

Step-by-step explanation:

If the function has a zero of p, then it has a factor of (x-p). The polynomial of least degree will only have factors corresponding to the given zeros:

  f(x) = (x -(-1))(x -2)(x -4)

  = (x +1)(x -2)(x -4)

  = (x² -x -2)(x -4)

  f(x) = x³ -5x² +2x +8

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LenKa [72]
I hope this helps you

4 0
3 years ago
Someone please help me answer this!!
aivan3 [116]

Answer:

8 units is the answer.

Step-by-step explanation:

Pythagorean theorem can be written as,

d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-9)^2 + (-7-1)^2}\\\\d=\sqrt{(0\\)^2+(-8)^2} \\\\d=\sqrt{64} \\\\d=8

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3 0
3 years ago
If each slab of butter is one cup, and you want to double a recipe that calls for 1 and 2/3 cups of butter, how many slabs of bu
ycow [4]

Answer:

1\frac{2}{3}\ slabs

Step-by-step explanation:

Let

x -----> the number of slabs of butter

y ----> the number of  cups of butter

we know that

The ratio is

\frac{x}{y} =\frac{1}{1}

so

x=y

That means-----> The number of slabs of butter must be equal to the number of cups of butter

In this problem

we have

y=1\frac{2}{3}\ cups

Remember that

x=y

so

The number of slabs of butter needed must be equal to the number of cups of butter

therefore

x=1\frac{2}{3}\ slabs

8 0
3 years ago
How to use the substitution
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X=1/3y+17/3   This is for the variable if that is what you were asking for...                                                                                                                                                
7 0
3 years ago
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Find the x-intercept and the y-intercept of the graph of the equation x + 6y = 18. Then graph the equation.
ArbitrLikvidat [17]

Answer:

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y-intercept(0,3)

6 0
3 years ago
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