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denpristay [2]
3 years ago
9

Subtract the given function and indicate the domain of the difference

Mathematics
1 answer:
maxonik [38]3 years ago
6 0

Answer:

The domain is x\in (-\infty,\infty).

Step-by-step explanation:

Given functions f(x)=x^2+3x+1 and g(x)=2x^2-4x-1

Subtract these two functions:

f(x)-g(x)\\ \\=(x^2+3x+1)-(2x^2-4x-1)\\ \\=x^2+3x+1-2x^2+4x+1\\ \\=(x^2-2x^2)+(3x+4x)+(1+1)\\ \\=-x^2+7x+2

Plot these difference on the coordinate plane (see attached diagram). This function is defined for all vlues of x, so the domain is x\in (-\infty,\infty).

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In the last baseball game, there were two 3-run home runs and 4 hits that each scored 2 runs. Write in algebraic expression to m
Aloiza [94]
Let the number of runs made on the home run be x, then for the <span>two 3-run home runs, we have 2x

Let the number of runs made in each hit be y, then for the 4 hits that each scored 2 runs, we have 4y.

Thus the algebraic expression to model the total score is 2x + 4y.

Because, there are 3 runs per home run, then x = 3 and because there are 2 runs per hit, then y = 2.

Therefore, the total score is given by 2(3) + 4(2) = 6 + 8 = 14.
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7 0
3 years ago
The equation P = 16,250 + 75n can be used to determine the population, P, of a city after n years. Which statements are true? Se
I am Lyosha [343]

Answer:

15000+1250x

Step-by-step explanation:

Since the initial population is 15,000, we want to know how many people are going to Jonesville each year.  Assuming that in 2001 and in 2002, each year adds 1,250 people and that it is constant.  The equation is 15000+1250x in which 15,000 represents the initial number and 1250 is the amount of people added each year followed by x which is the number in years.

4 0
2 years ago
Determine the number of solutions to the following system of equations.
goldfiish [28.3K]

Answer:

A. one solution y=-3 and x=0

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How to find surface area of a right triangular prism to the nearest whole number?
vovangra [49]
The area of the two triangular bases is
  (total base area) = 2×(1/2)bh
    = bh
    = (10 m)(6 m) = 10·6 m² = 60 m²

The area of the three rectangles making up the remaining faces of the prism is
  (total lateral area) = length×base + length×height + length×hypotenuse
    = length×(base + height + hypotenuse)
    = (16 m)(10 m + 6 m + 11.6 m)
    = (16 m)(27.6 m) = 16·27.6 m² = 441.6 m²

Then the surface area of the prism is the sum of these
  surface area = total base area + total lateral area
    = 60 m² + 441.6² = 501.6 m²
When rounded to the nearest whole number, this is
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5 0
2 years ago
Im confused on how to work this out
Varvara68 [4.7K]

Answer:

cube root (x-9)

Step-by-step explanation:

You have the right approach, but you wrote 3*square root(x-9)

What you need is cube root (x-9).

3 0
2 years ago
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