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umka21 [38]
3 years ago
15

The function f(x) = 2x2 + 6x - 12 has a domain consisting of the integers from -2 to 1, inclusive. Which set represents the corr

esponding range values for f(x)?
Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Answer:

[-16,-4]

Step-by-step explanation:

We are given that

f(x)=2x^2+6x-12

Domain=[-2,1]

We have to find the set of range values of f(x).

Substitute x=-2

f(-2)=2(-2)^2+6(-2)-12

f(-2)=-16

Substitute x=1

f(1)=2(1)+6(1)-12=-4

Range of f(x)=[-16,-4]

Hence, the set of range values of f(x)

[-16,-4]

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What is the center of a circle represented by the equation x92y62102
andreev551 [17]

The center of the circle is (-9, -6).

What is the center of the circle?

A circle's center is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

Here, we have

The equation of a circle is written as:

(x - h)² + (y - k)² = a²

Where (h, k) is the center and a is the radius of the circle.

Where (h, k) is the center and a is the radius of the circle.

(x + 9)² + (y + 6)² = 10² (Given)

From the equation, the center of the circle is (-9, -6)

The radius of the circle is 10.

In general form, the equation can be written as

x² + 18x + 81 + y² + 12y + 36 = 100

x² + y² + 18x + 12y + 17 = 0

Hence, the center of the circle is (-9, -6).

To learn more about the center of the circle from the given link

brainly.com/question/25938130

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1 year ago
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OverLord2011 [107]
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8 0
3 years ago
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Which function family are these 3? thanks..​
Julli [10]

Answer:

1) Function; Linear Function (y=x)

2) Function; Exponential Function (y=bˣ)

3) Not a function.

Step-by-step explanation:

So, let's go through each table of values. I'm also going to graph them (see attached graphs) because it will make things simpler and provide a visual.

First, also recall what the definition of a function is. A function is a function if and only if an x only has <em>one</em> distinct y-value. No x can have two or more y-values. For instance, (1,2) and (1,3) is <em>not</em> a function between the x repeats. So, let's go through the choices:

1)

We have the table as shown. Let's plot the points. See TABLE 1:

First, there are no repeating x-values, so we can be sure that this is indeed a function.

Looking at the graph, we can see that this resembles a linear graph. So, the parent function of this is a line.

The parent function of a line is:

y=x

So, table 1 is associated with a linear function.

2)

Let's again plot the points. See TABLE 2.

Again, there are no repeating x-values, so this is also a function.

Looking at the graph, this resembles an exponential function. The function increases slowly at first but starts increasing increasingly fast. The parent function is thus an exponential function.

So, table 2 is associated with an exponential function.

3)

First, notice how all the x-coordinates are repeating. And since they do <em>not</em> equal the same thing, this is not a function.

Table 3 is not a function and so has no corresponding family function.

7 0
3 years ago
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What is this equation 17+ -8+ -8 equals
Elodia [21]

Answer:-1

Step-by-step explanation:

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3 0
3 years ago
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How do i convert 91/10 to a mixed number
geniusboy [140]
The fraction 91/10 is equivalent1 to 9 1/10.
This fraction is a IMPROPER FRACTION once the absolute value of the top number or numerator (91) is greater than the absolute value of the bottom number or denomintor (10). So, the equivalent fraction is a MIXED NUMBER which is made up of a whole number (9) and proper fraction (1/10).
<span>The fraction 91/10 is equal to 91÷10 and can also be expressed in decimal form as 9.1.</span>
7 0
3 years ago
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