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Mariulka [41]
2 years ago
15

Find the holes

itle="f(x)=\frac{x+3}{(x+1)(x-2)}" alt="f(x)=\frac{x+3}{(x+1)(x-2)}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
olga55 [171]2 years ago
8 0

Answer:

<h2>           x=-1 and x=2</h2>

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

one must not divide by 0, so given function doesn't exis if the denominator is equal 0

The product {(x+1)×(x-2)} is equal 0 if any of factors  {(x+1),(x-2)} is 0, so

x + 1 = 0    or    x - 2 = 0

x = - 1      or    x = 2

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Javier jogs 3/4 of a mile in 8/1/2 minutes.
Leviafan [203]

Answer:

11 1/3 minutes per mile.

Step-by-step explanation:

3/4 miles jogged in 8 1/2 minutes.

So 1 mile jogged in: 8 1/2 divided by 3/4 = 8 1/2 x 4/3  = (17 x 4) / (2 x 3) = 11 1/3 minutes per mile

6 0
2 years ago
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Maria sets a goal of jogging 17.5miles this week. She plans on running 2.75 miles each day for 7 days . If she follows her plan
vovangra [49]
Yes, he will get 19.25 miles.
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2 years ago
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The equation y=123.1(1.065)* models the number of college students (in thousands) who studied abroad each year from 1998 through
xenn [34]

The estimate of the number of students studying abroad in 2003 is 169 and the estimate of the number of students studying abroad in 2018 is 433

<h3>a. Estimate the number of students studying abroad in 2003.</h3>

The function is given as:

y = 123(1.065)^x

Where x represents years from 1998 to 2013

2003 is 5 years from 1998.

This means that

x = 5

Substitute the known values in the above equation

y = 123(1.065)^5

Evaluate the exponent

y = 123 * 1.37008666342

Evaluate the product

y = 168.520659601

Approximate

y = 169

Hence, the estimate of the number of students studying abroad in 2003 is 169

<h3>b. Assuming this equation continues to be valid in the future, use this equation to predict the number of students studying abroad in 2018.</h3>

2018 is 20 years from 1998.

This means that

x = 20

Substitute the known values in the above equation

y = 123(1.065)^20

Evaluate the exponent

y = 123 * 3.52364506352

Evaluate the product

y = 433.408342813

Approximate

y = 433

Hence, the estimate of the number of students studying abroad in 2018 is 433

Read more about exponential functions at:

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4 0
1 year ago
What is 42% in simplest form?plz show me how to do it
frozen [14]
Hey there!

42%= 42/100 


<span><span>42/100</span>=<span>2/2</span>×<span><span>21/50</span></span></span>

<span><span><span>
</span></span></span>

<span><span><span>So 21/50 is the simplest form of 42%
</span></span></span>

6 0
3 years ago
Put this in slop intercept form<br><br> -2x+y+4=0
professor190 [17]
Y = 2x - 4

You need to take everything except y to the LHS to get the equation into the form of y = mx + c
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2 years ago
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