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solong [7]
3 years ago
9

Y = x 2 + 6x + 4 Axis of Symmetry: ___________ Vertex: ___________ Sketch:

Mathematics
1 answer:
kozerog [31]3 years ago
3 0

Answer:

Step-by-step explanation:

Here the coefficients of this quadratic are a = 1, b = 6 and c = 4.

                                                -b

The axis of symmetry is x = -------- , which here is x = -6/2, or x = - 3.

                                                 2a

Use the given quadratic to find the vertical coordinate of the vertex:

y = (-3)^2 + 6(-3) + 4 = 9 - 18 + 4 = y = -5.

The axis of symmetry is x = -3, and the vertex is (-3, -5).

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Can someone help me with this math homework please!
qwelly [4]

Answer:  Choice B

\text{As } x \to \infty, \ f(x) \to \infty  and \text{As } x \to -\infty, \ f(x) \to \infty

==========================================================

Explanation:

Assuming that the only roots are x = -3 and x = 2, as shown by the table, then notice how f(x) > 0 at the very right hand side of the table. This indicates that f(x) will remain positive for this tail end. If f(x) were to become negative, then there would have to be another root somewhere beyond x = 2 (but that contradicts the assumption made at the top of the paragraph).

This allows us to say \text{As } x \to \infty, \ f(x) \to \infty

In other words, as x gets bigger, so does y. Both head to positive infinity together. We can informally describe this end behavior as "rises to the right".

----------------------

For the left side of the table, we also have positive f(x) values to the left of the root. So we see that f(x) > 0 as x heads off in the negative infinity direction.

We would then say \text{As } x \to -\infty, \ f(x) \to \infty

Regardless of what direction x goes (positive or negative infinity), the y = f(x) values are heading off to positive infinity. Informally, we could say "rises to the left".

Both endpoints rise together to positive infinity. Think of a parabolic curve that opens upward as one example.

All of this points to choice B as our final answer. Choice B can be rephrased as \text{As } x \to \infty \text{ or } x \to -\infty, \text{ then } \ f(x) \to \infty

8 0
3 years ago
Ana has 31 1/2 cups of oat in a container. She used 4 1/2 of oats to make a loaf of bread. How much oats does Ana have left in t
WINSTONCH [101]

Answer:

b

Step-by-step explanation:

Take 1/2 off of the 31 1/12 to make it easier. That gives you 31 and 4. Then take one away from both numbers to get to 30 and 3. 30 minus 3 is 27.

5 0
2 years ago
If a rectangle is 95 meters long and 65 meters wide what is the diagonal​
gtnhenbr [62]

Answer:

115.1

Step-by-step explanation:

4 0
3 years ago
Which of the expressions is rational
miv72 [106K]

Answer:

the third one

Step-by-step explanation:

the square root of 25 is 5. 5+2 = 7.

this is a rational number (the set of all integers and fractions).

the other 2 portions contain at least one element that is not rational. and so the sum with such a number is not rational.

45 and 7 are no square numbers, and therefore the square root of these numbers contains a neverending chain of digits after the decimal point without having any repeating pattern. these are real numbers but not rational numbers.

6 0
2 years ago
Work out the value of <img src="https://tex.z-dn.net/?f=2%5E%7B3%7D%20%2B%205%5E%7B2%7D" id="TexFormula1" title="2^{3} + 5^{2}"
Luden [163]

Answer:

33

Step-by-step explanation:

2³=8

5²=25

8+25=33.

so, 2³+5²=33

4 0
3 years ago
Read 2 more answers
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