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3 years ago

PLEASE HELP! 25 PTS!!

Mathematics

1 answer:

zubka84 [21]3 years ago

6 0

Answer:

Solution given:

$f(x)=\frac{x-16}{x^2+6x-40}$

$g(x)=\frac{1}{x+10}$

now

f(x)+g(x)= $\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}$ ....(1)

now

factoring x²+6x-40

we get

x²+10x-4x-40

x(x+10)-4(x+10)

(x+10)(x-4)

now substituting in equation 1 ,we get

f(x)+g(x)= $\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}$

taking l.c.m

= $\frac{(x-16)+(x-4)}{(x-10)(x-4)}$

=now

opening bracket

$\frac{x-16+x-4}{x²-10x-4x+40}$

= $\frac{2x-20}{x²+6x-40}$

answer is :

B. $\bold b\frac{2x-20}{x^2+6x-40}$

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Tickets to a concert cost either $12 or $15. A

olga_2 [115]

Answer:

12x +15y = 4140; x + y = 300
x = 120; y = 180

Step-by-step explanation:

The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.

The equations are ...

12x +15y = 4140; x +y = 300

Using the second equation to write an expression for x, we have ...

x = 300 -y

Substituting this into the first equation gives ...

12(300 -y) +15y = 4140

3600 +3y = 4140

y = (4140 -3600)/3 = 180

x = 300 -180 = 120

The number of tickets sold is ...

$12 tickets -- 120

$15 tickets -- 180

_____

You might want to notice that the equation we ended up with:

4140 -12(300) = 3y

is equivalent to this "word solution." This can be done in your head; no equations required.

If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.

6 0

3 years ago

Consider the line that passes through each pair of given points, and decide what type of slope the line has.

tatiyna

Answer:

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

Step-by-step explanation:

We will find the slope of each line to check the type of slope.

Slope is given by the formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point

Now,

(2, 4) and (5, 1)

$m = \frac{1-4}{5-2} = \frac{-3}{3} =-1$

The slope is negative.

(3,5) and (-1,2)

$m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}$

The slope is positive

(-7, 8) and (-7,0)

$m = \frac{0-8}{-7+7} = \frac{-8}{0}$

division by zero makes the slope undefined.

(6.-3) and (4, -3)

$m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0$

The slope is zero

Hence,

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

3 0

3 years ago

Read 2 more answers

B / 6 = 3 b = ? i honestly have a lot of problems to do..

postnew [5]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Andy borrows $3890 over 4 years. What was the rate per annum of the loan if he paid back $5908?

lesya [120]

Answer:

The formula to get the rate R would be:

principal x (1+R)^time = (principle + interest)

=> 3890 x (1 + R)^4 = 5908

=> (1 + R)^4 = 5908/3890

=> (1 + R)^4 = 1.5188

=> 1 + R = 1.11

=> R = 1.11 - 1 = 0.11 = 11%

Hope this helps!

5 0

3 years ago

What is the domain of f(x)=(1)?

anyanavicka [17]

Answer: (0,0)

Step-by-step explanation: The domain of the expression is all real numbers except where the expression is undefines. In this case, there is no real number that makes the expression undefined.

Hope this helps you out. ☺

5 0

4 years ago