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2 years ago

For what values of x is the rational expression below undefined? x-7/x^2-7x-8

Mathematics

1 answer:

alekssr [168]2 years ago

5 0

We have

f(x)=(x-7)/(x²<span>-7x-8)

resolving the quadratic equation
using a graph tool-------- > see the attached figure
x=-1 x=8
therefore
</span>(x-7)/(x²-7x-8)=(x-7)/[(x+1)*(x-8)

the answer is -1 and 8

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A line passes through the origin and (3, 6). Which

Ierofanga [76]

Answer:

The answer is (2,4)

hope this is helpful :)

6 0

2 years ago

Last one, use trigonometry to help you solve for y given that one side is 4 and there is an angle of 50 degrees.

Ostrovityanka [42]

Answer:

y = 6.22

You can solve this in two ways.

1.) Use SOH CAH TOA:

I typically start off by labeling the sides of the triangle with H (hypotenuse), O (opposite), and A (adjacent). Because I need to figure out what y is when given an angle and 4, I will use CAH, or cosine.

$\cos(angle) = \frac{adjacent}{hypotenuse}$

$\cos(50) = \frac{4}{y}$

$\cos(50) \times y = 4$

$y = \frac{4}{ \cos(50) }$

$y = 6.22$

2.) Use Law of Sines:

Solve for the last angle inside the triangle first.

$180 - (50 + 90) = 40$

Then use the angle you found (40°) in the equation.

$\frac{4}{ \sin(40) } = \frac{y}{ \sin(90) }$

$\frac{4}{ \sin(40) } \times \sin(90) = y$

$y = 6.22$

3 0

2 years ago

You deposit $400 into a savings account that earns interest annually. The function g(x) = 400(1.05)x can be used to find the amo

arsen [322]

Answer:

Step-by-step explanation:

The constant percent rate of change in the case of a deposit of $400 into a savings account is compounded annually.

With an example, what is compound interest?

When you add the interest you have already earned back into your principal balance, you are earning compound interest, which increases your profits.

Consider that you have $1,000 in a savings account earning 5% interest annually. If you made $50 in the first year, your new balance would be $1,050.

Principal - $400

rate of interest is compounded annually

g(x) = 400( 1.03)ˣ equation 1.

Formula used

A = P( 1 + r )ⁿ

here n = x

Solution:

Putting the value of n, and principal in the formula

A = P( 1 + r )ⁿ ................... equation 2

now comparing both equation 1 and equation 2,

400( 1.05)ˣ = 400( 1 + r )ˣ

( 1.05)ˣ = ( 1 + r )ˣ

1.05 = 1 + r

r = 1.05 - 1

r = 0.05

r % = 0.05 × 100

r % = 5 %

thus, the constant percent rate of change = 5 %

Learn more about compound interest

brainly.com/question/14295570

3 0

4 months ago

A,B,C,D (need help ASAP)

r-ruslan [8.4K]

Answer:

Step-by-step explanation:

Im not sure but it sound like it will be the only right one!

6 0

3 years ago

Read 2 more answers

Find the mean, median, and mode of the data set. Round to the hundredths, if necessary. 29,300 24,350 32,400 15,100 14,200 21,95

Sav [38]

The mean of the data is 20038.24, the median is 16050 while the number with the highest frequency is 11500

<h3>Mean, median, and mode of a dataset</h3>

Mean are known as averages, median is the middle value after rearrangement while the mode is the value with the highest frequency

Calculate the mean

Mean = sum of data/sample size

Given the data

29300, 24350, 32400, 15100, 14200, 21950, 27450, 29400, 15200, 35050, 16050, 11500, 13050, 11500, 11600, 11100, 21450

The mean of the data is 20038.24

For the median being the value at the middle, the median is 16050 while the number with the highest frequency is 11500

Learn more on mean, median and mode here: brainly.com/question/14532771

3 0

1 year ago