Find the slope of aline parallel to each given line

You can model the entrance to a mine shaft using the equation

Furkat [3]

y=-1/2 2 (x+4)(x+-4+

-1/2*2 = -1

y=-1(x+4)(x-4)

solving for x

x - -4 and x =4

-4 to 4 = 8 feet

width = 8 feet

4 0

3 years ago

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50PTS!<br> Describe the vertical asymptotes and holes for the graph of y = x-5/x^2 -1

Diano4ka-milaya [45]

Ok

first of all, for q(x)/p(x)
if the degree of q(x) is less than the degree of p(x),then the horizontal assemtote is 0

then simplify
any factors you factored out is now a hole, remember them

to find the vertical assemtotes of a function, set the SIMPLIFIED denomenator equal to 0 and solve

so

y=(x-5)/(x^2-1)
q(x)<p(x)
horizontal assemtote is y=0

no factors to simplify so no holes

set denomenator to 0 to find vertical assemtote
x^2-1=0
(x-1)(x+1)=0
x-1=0
x=1

x+1=0
x=-1

the horizontal assemtotes are x=1 and -1

3 0

3 years ago

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You charged 1,000 on your credit card for Christmas presents. Your credit card company charges you 26% annual interest, compound

Grace [21]

Answer:

94 months

Step-by-step explanation:

You can use the amortization formula for this.

A = P(r/12)/(1 -(1 +r/12)^(-n))

A is the monthly payment; P is the principal amount; r is the annual interest rate, and n is the number of months.

__

Filling in the numbers, we can solve for n:

25 = 1000(0.26/12)/(1 -(1+0.26/12)^-n)

Multiplying by the denominator and dividing by 25, we have ...

1 -(1+0.26/12)^-n = 1000(0.26)/(12(25)) = 13/15

Subtracting 13/15 and adding (1+0.26/12)^-n gives ...

2/15 = (1+0.26/12)^-n

Taking logs turns this into a linear equation:

log(2/15) = -n·log(1+0.26/12)

n = log(15/2)/log(1+0.26/12) = 93.999

It would take 94 months, or 7 years 10 months, to pay off the balance.

_____

Your total of payments would be $2,350.

3 0

3 years ago

Roxanne graphed this system of equations to find the solution.

Mice21 [21]

Answer:

Option C is correct.

She is not correct as she use the wrong y intercepts when graphing the equations.

Step-by-step explanation:

Given the system of equations:

$y = \frac{2}{3}x-5$ .....[1]

$y = -2x+3$ . .....[2]

equate these two equations we get;

$\frac{2}{3}x-5=-2x+3$

Add 5 to both sides we get;

$\frac{2}{3}x = -2x+8$

Add 2x to both sides we have;

$\frac{8}{3}x = 8$

Multiply both sides by 3 we get;

8x = 24

Divide both sides by 8 we get;

x = 3

Substitute the value of x in [2] we have;

y = -2(3)+3 = -6+3

Simplify:

y = -3

Therefore, the correct solution for this given system of equation is (3, -3)

You can see the graph of these equations below.

5 0

3 years ago

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If a pine tree grows 4 inches per year, how long will it take for the tree to reach a height of 13 feet?

attashe74 [19]

Answer:

Should be 39 years.

there is 12 inches in a foot. and if the tree grows 4 inches every year, then in 3 years the tree would be 1 foot. 13 x 3 = 39, thus proving that in 39 years, it will be 13 feet tall. I may be wrong but this sounds correct.

5 0

3 years ago

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