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3 years ago

What is the domain of the function f(x)=

Mathematics

2 answers:

Rainbow [258]3 years ago

4 0

Think of f(x) as y, because it is the same thing so find the x for your domain

Delicious77 [7]3 years ago

4 0

Answer:

The domain of a function is the set of all possible inputs for the function.

Step-by-step explanation:the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

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Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

5 0

3 years ago

jimmy is moving to a new apartment. he fills a box with 4 books, 5 DVDs, and 2 CD's. when he starts unpacking his new place he p

pav-90 [236]

Answer:

$\frac{2}{11}$

Step-by-step explanation:

First, find the probability of him pulling out a book.

There are 11 objects in total, and there are 4 books.

So, the probability of pulling out a book is $\frac{4}{11}$

Next, find the probability of him pulling out a DVD after.

Since a book was taken out, there are only 10 objects left. There are 5 DVDs.

So, the probability of pulling out a DVD is $\frac{5}{10}$ , or simplified to $\frac{1}{2}$

To find the probability that this happens in order, multiply the probabilities:

$\frac{4}{11}$ x $\frac{1}{2}$

= $\frac{2}{11}$

So, the probability is $\frac{2}{11}$

7 0

3 years ago

What is y+2=-4(X-6) in Ax+By=C form

PSYCHO15rus [73]

Y+2=-4x+24
2=-4x-y+24
-22=-4x-y

7 0

3 years ago

Find the center and radius when x^2+y^2+4x-4y=17

coldgirl [10]

Answer:

the center is (-2,2) and the radius is 5

3 0

3 years ago

Read 2 more answers

You work for a carpet company. You sell carpets at these prices: 100 square feet for $67, 200 square feet for $130, 400 square f

fredd [130]

Answer: A. $0.60

Step-by-step explanation:

The prices for which the carpets were sold are

1) 100 square feet for $67

2) 200 square feet for $130

3) 400 square feet for $240

4) 800 square feet for $504. We would determine the unit cost per square foot for each of them. It becomes

1) 1 square feet costs 67/100 = $0.67

2) 1 square feet costs 130/200 = $0.65

3) 1 square feet costs 240/400 = $0.6

4) 1 square feet costs 504/800 = $0.63

The unit cost per square foot of carpet for the worst deal is $0.6

4 0

3 years ago