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e-lub [12.9K]
1 year ago
14

Identify the set of X-values for which f(X) is greater than or equal to 0.

Mathematics
1 answer:
Allushta [10]1 year ago
6 0

The given function is greater than or equal to 0 for the interval given as follows:

{x | x ≤ -3 or -1 ≤ x ≤ 0 or x ≥ 2}.

<h3>When a function is positive and when it is negative?</h3>

  • A function is positive when it is above the x-axis.
  • A function is negative when it is below the x-axis.

For this problem, with a closed interval, we have that the function is above for:

x ≤ -3, -1 ≤ x ≤ 0, x ≥ 2.

Hence the interval notation is:

{x | x ≤ -3 or -1 ≤ x ≤ 0 or x ≥ 2}.

More can be learned about functions at brainly.com/question/24808124

#SPJ1

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4 years ago
Line AB and CD have the following points: A(2, 4), B(9, 8), C(-1, 2), and D(3, -5). Are the lines parallel, perpendicular, or ne
inysia [295]

We are given coordinates of A, B, C and D :

A(2, 4), B(9, 8), C(-1, 2), and D(3, -5).

Now, we need to find the slopes of AB and CD.

Slope of AB is :

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:4\right),\:\left(x_2,\:y_2\right)=\left(9,\:8\right)

m=\frac{8-4}{9-2}

m=\frac{4}{7}.

Slope of CD is:

m=\frac{-5-2}{3-\left(-1\right)}

m=-\frac{7}{4}.

<em>Slope of CD is negative reciprocal of slope of slope of AB. </em>

<h3>Therefore, lines AB are CD are perpendicular.</h3>
6 0
3 years ago
Read 2 more answers
What is the circumference of this circle <br>​
Levart [38]

Answer:

31.4 cm

Step-by-step explanation:

Let C be the circumference and r be the radius of the circle.

\therefore \: C = 2\pi \: r  \\  \hspace{19 pt}= 2 \times 3.14 \times 5 \\ \hspace{19 pt} = 3.14 \times 10 \\ \hspace{19 pt} = 31.4 \: cm \\

8 0
3 years ago
The question is in the image i need help
xenn [34]

hope it helps you!!!!!!!!!!

7 0
3 years ago
What is the sum of the arithmetic sequence 3, 9, 15..., if there are 36 terms?
EastWind [94]
We know that
the formula of the <span>the sum of the arithmetic sequence is
Sum=n*(a1+an)/2

n=36
a1=3
a36=?

find a36
an=a1+(n-1)*d

for n=2   a2=9
9=3+(2-1)*d----> 9=3+d----> d=6
so
for n=36
a36=a1+(36-1)*6----> a36=3+35*6----> a36=213

</span>Sum=n*(a1+an)/2-----> 36*[3+213]/2----> 3888

the answer is
3888
8 0
4 years ago
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