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3 years ago

HELP!! When you solve a system of equations What are the three possible outcomes ???

Mathematics

1 answer:

kiruha [24]3 years ago

8 0

9514 1404 393

Answer:

no solutions
a finite number of solutions
an infinite number of solutions

Step-by-step explanation:

Your question is very general, including linear and non-linear equations of any number and/or degree. In the general case you're asking about, there will be ...

no solutions -- no values of the variables satisfy all equations
a finite number of solutions -- all equations are satisfied for some finite set of variable values
an infinite number of solutions -- equations are dependent (or periodic*) so the set of solutions is an infinite set

For 2 linear equations in 2 unknowns, there will be 0, 1, or infinite solutions.

_____

* Aperiodic equations may also have an infinite number of solutions. 1/sin(x)=0 is an example.

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Evaluate the expression if a = 9 and b = 2. 5(a 3b) 20 51 70 75

devlian [24]

5(a + 3b) = 5(9 + 3(2)) = 5(9 + 6) = 5(15) = 75

5 0

3 years ago

Use the remainder theorem and the factor theorem to determine whether (b+4) is a factor of (b^3+3b^2-b + 12)

nevsk [136]

B+4=0
b=-4
then put it in polynomial and if the answer was 0, then b+4 is its factor
-64+48+4+12=0

3 0

3 years ago

Anna runs 3/4 miles in 6 minutes or 1/10 hour. assuming she runs at a constant rate, what is her speed, in miles per hour?

iragen [17]

We will use the equation $distance=rate*time$ to solve this one. We have distance and time, so we'll rearrange this to:
$r=\frac{d}{t}=\frac{\frac{3}{4}}{\frac{1}{10}}=\frac{3}{4}*\frac{10}{1}=\frac{30}{4}=\frac{15}{2}=7.5$

So she runs 7.5 miles per hour.

4 0

3 years ago

On a typical day, a jewelry store sells 8 bracelets. The data show the number of bracelets sold on each day for four weeks at a

klio [65]

Answer:

Week 4

Step-by-step explanation:

A week consist of 7 days (MO, TU, WE, TH, FR, SA, SU)

The mean of the sells done by the store is calculated as the following:

(MO+TU+WE+TH+FR+SA+SU ) 1/7

If we calculate the mean of every given week we have this

Week 1: 6.57

Week 2: 8.86

Week 3: 2.28

Week 4: 8

Since a typical day the jewelry store sells 8 bracelets, in a typical week, the mean of bracelets sold is 8.

The week 4 is the best estimate of the jewelry store's weekly sales throughout the year.

4 0

3 years ago

Read 2 more answers

A hobby store marks up remote-controlled cars 20%. The original price was $35. What is the retail price to purchase a remote-con

Vinil7 [7]

Answer:

The retail price to purchase a remote-controlled car at the hobby store is $42

Step-by-step explanation:

Original Price of remote controlled car = $35

Mark up = 20%

We need to find retail price.

First we will find mark up value i.e. 20% of 35 and then add it to the original price to find retail price.

Finding 20% of 35

$20\% \:of\: 35\\=\frac{20}{100}\times 35\\=7$

So, mark up price is $7

Now, the retail price will be:

<em>Retail price = Original Price + Mark up</em>

Retail price = 35 + 7

Retail price = 42

So, the retail price to purchase a remote-controlled car at the hobby store is $42

4 0

3 years ago