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Sholpan [36]
3 years ago
11

The vertex of this parabola is at (1, 3). Which of the following could be its equation?

Mathematics
1 answer:
White raven [17]3 years ago
8 0
For
y=a(x-h)^2+k
vertex is (h,k)

it could be
y=a(x+1)^2-3
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According to the rational root theorem, what are all the potential rational roots of f(x)=5x^3-7x+11
Genrish500 [490]

Answer:

\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}

Step-by-step explanation:

The given polynomial function is

f(x)=5x^3-7x+11

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.

The potential rational roots are

\pm\frac{11}{1}=\pm11

\pm\frac{1}{1}=\pm1

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\pm\frac{1}{5}

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Which values of k are solutions to the inequality StartAbsoluteValue negative k minus 2 EndAbsoluteValue less-than 18? Check all
Stella [2.4K]

Answer:

You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:

First, remember how the absolute value works:

IxI = x if x ≥ 0

IxI = -x if x ≤ 0

Then if we have something like:

IxI < B

We can rewrite this as

-B < x < B

Now let's answer the question, here we have the inequality:

I-k -2I < 18

Then we can rewrite this as:

-18 < (-k - 2) < 18

Now let's isolate k:

first, we can add 2 in the 3 parts of the inequality:

-18 + 2 < -k - 2 + 2 < 18 + 2

-16 < -k < 20

Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:

-1*-16 > -1*-k > -1*20

16 > k > -20

Then k can be any value between these two limits.

So the correct options (from the given ones) are:

k = -16

k = -8

k = 0

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2 years ago
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Answer:

D=35

Step-by-step explanation:

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Write 0.8 as a percentage
VikaD [51]
Is answer is 80% because you move the decimal to the right 2 times
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