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Vladimir [108]
3 years ago
9

What is the vertex A,B,C or D

Mathematics
1 answer:
matrenka [14]3 years ago
4 0
(C) (-2, -36) . . . . . . is the appropriate choice

_____
An easy way to tell is to let a graphing calculator show you.

Or, you can rearrange the equation to vertex form.
  f(x) = 5(x² +4x) -16
    = 5(x² +4x +4) -16 -5*4 . . . . complete the square
    = 5(x +2)² -36
So, the vertex is (-2, -36).

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k:\ y = x-11\ \ \ \Leftrightarrow\ \ \ x-y-11=0\\ and\\ l:\ y = x-7\ \ \ \Leftrightarrow\ \ \ x-y-7=0\\\\the\ distance:\\\\ d(k;l)= \frac{\big{|-11-(-7)|}}{\big{ \sqrt{1^2+1^2} }} =\frac{\big{|-11+7|}}{\big{ \sqrt{2} }} =\frac{\big{|-4|}}{\big{ \sqrt{2} }} =\frac{\big{4\cdot \sqrt{2} }}{\big{ \sqrt{2}\cdot \sqrt{2}  }} =\frac{\big{4 \sqrt{2} }}{\big{2 }} =2 \sqrt{2}
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4 years ago
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AnnZ [28]

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Step-by-step explanation:

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3 years ago
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sp2606 [1]
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5 0
3 years ago
Which of the following rational functions is graphed below?
Cerrena [4.2K]

Answer:

option B

Step-by-step explanation:

We can see in the graph that the function has two values of x where the value of y goes to infinity: x = -6 and x = 6.

These points where the value of the function goes to infinity usually are roots of the polynomial in the denominator of a fraction (when the values of x tend to these values, the denominator of the fraction tends to 0, so we have a discontinuity in the function).

So the option that represents a function that have these points in x = -6 and x = 6 is the function in option B.

The other options show functions that have only one point that goes to infinity.

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Classify the model as Exponential GROWTH or DECAY. <br> A=10(1.01)^3
Masteriza [31]

Answer:

GROWTH

Step-by-step explanation:

Given the Exponential function;

A=10*1.01^{3}

As we can see in the given function above:

the base number is 1.01 which is greater than 1 hence the quantity increases,

slowly at first and then very rapidly over its domain. The rate of growth becomes faster as time passes.

The growth "rate" (r) is determined as b = 1 + r.

In this situation, the rate growth is = 1.01 -1  = 0.01

Hope it will find you well.

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