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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

Mathematics

2 answers:

xenn [34]3 years ago

8 0

Answer:

the correct answer should be (b) 6 is extraneous

alex41 [277]3 years ago

6 0

the correct answer should be (b) 6 is extraneous.

If you look at the second row of the solution you see (x-6) as a factor in one of the denominators. That's a problem: if 6 were a solution this denominator would become 0. But denominators being 0 is bad (undefined), so while 6 comes out of the algebraic manipulation as a solution, it is invalid, or extraneous.

-3 is a fine solution.

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Use the given functions to find f (g(x)), and give the restrictions on x.

torisob [31]

Answer:

$f(g(x)) = \frac{10x-9}{3 + 3x}$

Step-by-step explanation:

Given

$f(x) = \frac{1}{x} - 3$

$g(x) = \frac{3}{x} + 3$

Required

Find f(g(x))

If: $f(x) = \frac{1}{x} - 3$

Then:

$f(g(x)) = \frac{1}{3/x + 3} -3$

Solve the denominator (take LCM)

$f(g(x)) = \frac{1}{\frac{3+3x}{x}} -3$

$f(g(x)) = \frac{x}{3 + 3x} - 3$

It can be solved further as:

$f(g(x)) = \frac{x-3(3 + 3x)}{3 + 3x}$

$f(g(x)) = \frac{x-9 + 9x}{3 + 3x}$

$f(g(x)) = \frac{10x-9}{3 + 3x}$

4 0

3 years ago

Stewart has a home-based business putting on children’s parties. He charges $60 to design the party and then $6.00 per child. Wr

Aleksandr [31]

Answer:

Step-by-step explanation:

numbers of students = n

party decoration charge = 60

per child cost = 6

so, therefore

f(n) = 60 + 6n

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7 0

3 years ago

Read 2 more answers

Bob has 28 shirts to fold.

Aleonysh [2.5K]

I’m pretty sure the equation is 28-f=n
and the answer is 2.

4 0

3 years ago

Please help asap 20 pts

eduard

The discriminant explains how many solutions the quadratic function has. It is found using this formula:

$b^2-4ac$

Using the formula, there are three rules. Let's say the discriminant=d:
d<0 - No solution ø
d=0 -ONLY 1 solution
d>0 -2 solutions

In the following graph, there are no solutions as the graph does not hit the x-axis at any point. Thereafter, the discriminant MUST be less than zero. Let's view the options check which one agrees with our answer.

A - Discriminant is greater than 0, which means two solutions. This is WRONG.
B - Discriminant is less than 0, which means no solutions. CORRECT!
C- Discriminant is equal to 0, which means one solution. WRONG!

Your answer is B.

7 0

3 years ago

Which description best describes the solution to the following system of equations?

aleksandr82 [10.1K]

Answer:

Line y = –x + 4 intersects the line y = 3x + 3

Step-by-step explanation:

The solution is described as the point of intersection of the two lines. The description above is the only one that says anything about that.

___

<em>Comments on other answer choices</em>

Any line with finite non-zero slope intersects both the x- and y-axes. That fact does not describe the solution to a system of equations.

Any linear equation with an added (non-zero) constant will not intersect the origin. These two equations have +4 and +3 added, so neither line intersects the origin.

6 0

3 years ago