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xz_007 [3.2K]
3 years ago
10

F(x)=8x^2-2x+3

Mathematics
2 answers:
alexdok [17]3 years ago
6 0

Answer:

-4x^2-6x+6

Step-by-step explanation:

We are asked to subtract g from f.

So the problem is:

[8x^2-2x+3]-[12x^2+4x-3]

So I'm going to distribute and write without [].

8x^2-2x+3-12x^2-4x+3

Now I'm going to pair up any like terms:

8x^2-12x^2-2x-4x+3+3

Simplifying:

-4x^2-6x+6

kirza4 [7]3 years ago
3 0

Answer:  The correct option is

(C) h(x)=-4x^2-6x+6.

Step-by-step explanation:  We are given the following two functions :

f(x)=8x^2-2x+3,~~~~~g(x)=12x^2+4x-3.

We are to find the value of h(x) if h(x) = f(x) - g(x).

To find the value of h(x), we must subtract the expression of g(x) from the expression of f(x).

The value of h(x) can be calculated as follows :

h(x)\\\\=f(x)-g(x)\\\\=(8x^2-2x+3)-(12x^2+4x-3)\\\\=8x^2-2x+3-12x^2-4x+3\\\\=-4x^2-6x+6.

Thus, the required value of h(x) is -4x^2-6x+6.

Option (C) is CORRECT.

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The sum of two and a number is less than five
Furkat [3]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the English statement

''The sum of two and number is less than five''.

Let us breakdown the statement.

  • Let 'n' be the number.
  • The sum of two and number = 2 + n

We know that the less than symbol is denoted by '<' which is used for comparison.

Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:

  • 2 + n < 5

Let us solve the algebraic expression.

2+n

Subtract 2 from both sides

2+n-2

Simplify

n

Thus, the solution is:

2+n

Please also check the attached solution line graph.

4 0
3 years ago
What is the distance, in feet, from where debbie and andy are standing to the coral reef?
Gnoma [55]
36 feet + 9 feet
= 45 feet

You are correct! The distance from where Debbie and Andy are standing to the coral reef is 45 feet in total.
8 0
3 years ago
The set of ordered pairs represents a
Murrr4er [49]

Answer:

The rule that represents the function is y=x^2+1 therefore the function is f(x)=x^2+1

Step-by-step explanation:

We have 5 ordered pairs in the plane xy. This means that <em>every pair has the form (x, y).</em>

Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.

<u>The easy evaluation is that when x=0, the value of y is y=1,</u> and then we can evaluate the rule for x=-1, and x=1, <em>the value of y is the same, y=2</em>. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.

So <u>we propose the rule </u>y=x^2+1<u> which is correct for the first 3 values of x.</u>

Now, <em>we evaluate the proposed rule when x=2, and when x=3</em>. This evaluations can be written as

f(2)=2^2+1=5

f(3)=3^2+1=10

Therefore, the rule is correct, and the function is

f(x)=x^2+1

8 0
3 years ago
Which best explains how you know that P(2, 7) is on the same line as Q(7, 4) and R(12, 1)?
Helen [10]

Answer:

See explanation below

Step-by-step explanation:

The best explanation is noticing that in order to get from the point R (12, 1) to the point Q (7, 4) we move 5 units to the left and 3 units up. And to go from point Q (7, 4) to point P (2, 7) we do exactly the same: move 5 units to the left and 3 units up. That means that these points are all connected via the same rate of change:  - 3/5, which is in fact the slope of the line the three points belong to.

4 0
3 years ago
The slope of the line below is 3. Use the coordinates of the labeled point (6, 8) to find a point-slope equation of the line.
Marina CMI [18]
<span>point-slope equation

y - 8 = 3(x - 6)

hope it helps</span>
5 0
2 years ago
Read 2 more answers
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