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3 years ago

The following graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: a parabola with a vertex of 4, negative 2

1 answer:

5 0

V(4,-2)

In the vertex form, the h value is the x and the k value is the y.
So if the vertex (4,-2) is also (h,k)

You can just simply replace the h and k in (x-h)^2+k.
Which gives us...
f(x)=(x-4)^2-2.

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Rewrite in simplest radical form: x^4/5 / x^1/3 into a√x^b

mrs_skeptik [129]

Answer:

$\sqrt[15]{x^7}$

Step-by-step explanation:

If we have the expression

$\frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}}$ , we have to think about exponent rules.

If we have $a^b \div a^c$ , then the value will be equal to $a^{b-c}$ .

So $\frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}}$ simplified will be $x^{\frac{4}{5} - \frac{1}{3}}$

Converting $\frac{4}{5}$ and $\frac{1}{3}$ into fifteenths (lcm) gets us $\frac{12}{15} - \frac{5}{15} = \frac{7}{15}$ .

We can convert $x^{\frac{7}{15}}$ into a radical by taking the denominator root of x to the numerator.

$\sqrt[15]{x^7}$ .

Hope this helped!

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3 years ago

Spencer has a retirement account through his employer. His monthly contributions to the account are taken out of his check befor

Fiesta28 [93]

Answer:

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6 0

3 years ago

Read 2 more answers

The quadratic function: <img src="https://tex.z-dn.net/?f=y%3D-x%5E2-8x%2B1" id="TexFormula1" title="y=-x^2-8x+1" alt="y=-x^2-8x

pav-90 [236]

Answer:

2) (-∞, 17]

Step-by-step explanation:

The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.

The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.

y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17

The range of the function is (-∞, 17].

8 0

2 years ago

What is the answer to this?

ra1l [238]

The answer to your question is = 184

5 0

3 years ago

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Karen spends $450 on monthly bills. Of this total amount, 12% is for phone service, 1/10 is for internet service, and 2/9 is for

finlep [7]

12%= 0.12 = 12/100 = 108/900
1/10 = 90/900
2/9 = 200/900

108/900 + 90/900 + 200/900 = 398/900 used

900- 398 = 502

502/900 = 251/ 450

251/450 × 450 = 251

Karen has $251 for food

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3 years ago