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sweet-ann [11.9K]
3 years ago
13

Can y’all help me on question 31?!

Mathematics
2 answers:
Zarrin [17]3 years ago
7 0

Answer:

D

Step-by-step explanation:

X < -1 means "X could be anything less than -1."

However, the number line only has selected the numbers greater than 1. That is why it does not represent the equation. Hope this helps :)

Lisa [10]3 years ago
3 0

Answer:

D

Step-by-step explanation:

if x is less than -1 the arrow should be pointing to the left , however the open dot is correct so the answer is D.

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"Five divded by the sum of a and b" written as a fraction would be
s2008m [1.1K]

Answer:

5/a+b

Step-by-step explanation:

5 0
2 years ago
The area of a circle is 100 π.what is the lenght of the side of a tegular hexagon inscribed in a circle.
yawa3891 [41]
This logic, geometric logic at that.

First find the radius of the circle.

area = \pi {r}^{2} \\
We find the radius by a little algebraic manipulation.

area = \pi {r}^{2} \\ \sqrt{ \frac{area}{\pi} } = r \\ \sqrt{ \frac{100\pi}{\pi} } = r \\ radius = 10

Answer:

The height of the hexagon is 10 units (whatever the units are, every measurement needs units). All the sides of a polygon are equal, and it's a regular hexagon, which is a polygon. It's simple thinking, mostly people get into trouble when they over think it
8 0
3 years ago
How to calculate the critical value of z distribution ?
pshichka [43]

Answer:

Compute alpha (α): α = 1 - (confidence level / 100)

Find the critical probability (p*): p* = 1 - α/2

To express the critical value as a z-score, find the z-score having a cumulative probability equal to the critical probability (p*).

Step-by-step explanation:

5 0
2 years ago
Calculus graph please help
tresset_1 [31]

Answer:

See Below.

Step-by-step explanation:

We are given the graph of <em>y</em> = f'(x) and we want to determine the characteristics of f(x).

Part A)

<em>f</em> is increasing whenever <em>f'</em> is positive and decreasing whenever <em>f'</em> is negative.

Hence, <em>f</em> is increasing for the interval:

(-\infty, -2) \cup (-1, 1)\cup (3, \infty)

And <em>f</em> is decreasing for the interval:

\displaystyle (-2, -1) \cup (1, 3)

Part B)

<em>f</em> has a relative maximum at <em>x</em> = <em>c</em> if <em>f'</em> turns from positive to negative at <em>c</em> and a relative minimum if <em>f'</em> turns from negative to positive to negative at <em>c</em>.

<em>f'</em> turns from positive to negative at <em>x</em> = -2 and <em>x</em> = 1.

And <em>f'</em> turns from negative to positive at <em>x</em> = -1 and <em>x</em> = 3.

Hence, <em>f</em> has relative maximums at <em>x</em> = -2 and <em>x</em> = 1, and relative minimums at <em>x</em> = -1 and <em>x</em> = 3.

Part C)

<em>f</em> is concave up whenever <em>f''</em> is positive and concave down whenever <em>f''</em> is negative.

In other words, <em>f</em> is concave up whenever <em>f'</em> is increasing and concave down whenever <em>f'</em> is decreasing.

Hence, <em>f</em> is concave up for the interval (rounded to the nearest tenths):

\displaystyle (-1.5 , 0) \cup (2.2, \infty)

And concave down for the interval:

\displaystyle (-\infty, -1.5) \cup (0, 2.2)

Part D)

Points of inflections are where the concavity changes: that is, <em>f''</em> changes from either positive to negative or negative to positive.

In other words, <em>f </em>has an inflection point wherever <em>f'</em> has an extremum point.

<em>f'</em> has extrema at (approximately) <em>x</em> = -1.5, 0, and 2.2.

Hence, <em>f</em> has inflection points at <em>x</em> = -1.5, 0, and 2.2.

7 0
2 years ago
Factor x squared-6x+3x-18 by grouping ​
Sindrei [870]

Answer:

(x - 6)(x + 3)

Step-by-step explanation:

Given

x² - 6x + 3x - 18 ( factor the first/second and third/fourth terms )

= x(x - 6) + 3(x - 6) ← factor out (x - 6) from each term

= (x - 6)(x + 3)

6 0
3 years ago
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