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Margaret [11]
3 years ago
9

(a) has no solutions.(b) has infinitely many solutions.(c) has exactly one solution.

Mathematics
1 answer:
grandymaker [24]3 years ago
6 0

Answer and Step-by-step explanation:

Given

ax + by = c

qx + ry = s

(a) the equation has no solutions if a/q = b/r ≠ c/s, when this happens, we say the system of equations has no solution. For example

x + y = 3

x + y = 5

Subtracting first equation from the second we have:

0 = 2 which is impossible.

(b) the equations have infinite solutions if a/q = b/r = c/s, for example

x + y = 2

x + y = 2

Subtracting the first equation from the second we have

0 = 0, since this is always true, then it has infinite solutions.

(c) the equations have unique solutions if a/q ≠ b/r, for example

x + y = 2

x – y = 1

Adding the first and second equation we have

2x = 3, we can get x from here and definitely y, so we have just one solution.

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URGENT nEED HELP I DON"T UNDERSTaND
Dovator [93]

The proposal for the price for a number of shirts given by the four companies can be analyzed graphically, given that each price list gives a straight line, and the result presented using a piecewise function approach as follows:

\begin{cases} & \text{ if } 20 \leq  x\leq 40 \ The \ company \ to \ be \ selected \ is \ Easy \ Calculation\\ & \text{ if } 40 < x \leq 80\ The \ company \ to \ be \ selected \ is \ Shirtee \\ & \text{ if } 80 < x \leq 200\The \ company \ to \ be \ selected \ is \ T-Shirts\ R\ Us \end{cases}

<h3>What is a piecewise function?</h3>

A piecewise defined function is one that has other sub functions which are applied over different intervals of the domain.

The given table of values and equation are plotted on a graph using MS Excel

From the graph, and the table created, we have:

When the number of shirts on order is less than 40, the least expensive is Easy Calculation shirts

When the number of shirts are more than 40 but less than 80, the least expensive proposal is given by Shirtee

When the number of shirts to be ordered is more than 80, the company that gives the least expensive proposal is T-Shirts R Us

The selection table is presented as follows:

\begin{cases} & \text{ if } 20 \leq  x\leq 40 \ The \ company \ to \ be \ selected \ is \ Easy \ Calculation\\ & \text{ if } 40 < x \leq 80\ The \ company \ to \ be \ selected \ is \ Shirtee \\ & \text{ if } 80 < x \leq 200\The \ company \ to \ be \ selected \ is \ T-Shirts\ R\ Us \end{cases}

Learn more about piecewise defined functions here:

brainly.com/question/18499561

#SPJ1

3 0
1 year ago
Solve the inequality |3t+1| &gt; 8.
arlik [135]
<h3>Solve the inequality |3t+1| > 8.</h3>

<h2>ANSWER</h2>

<h3>t <  - 3 \:</h3>

or

<h3>t >  \frac{7}{3}</h3>
8 0
2 years ago
. Laser tag costs $35 per game. The laser tag fans want to play more than 1 game of laser tag. Write an expression to help you f
8_murik_8 [283]

Let x represent the amount of games played.

When x is used, it need to be multiplied by the price ($35).

x(35) = cost in $

Hope this helped :)

3 0
2 years ago
I keep believing the answer is either 18,000 or 1,800 but im incorrect. Can someone please help me?? I use the formula A^2 *2*A*
Yuri [45]

The base is a square, so the area of the square is (10 cm)² = 100 cm²

To find the area of each triangle use the formula

base • height

10 cm • 9 cm = 90 cm²

now multiply by the number of triangles

90 cm • 4 = 360 cm²

Add the area of the square:

100 cm² + 360 cm² = 460 cm²

I hope it's correct

4 0
2 years ago
Read 2 more answers
H(x) = x2<br> j(x) = 2x2-5<br> find h(x) - j(x)
yKpoI14uk [10]

Answer:

Step-by-step explanation:

h(x) - j(x) => x^2-(2x^2-5)

The negative sign out in front of the set of parenthesis changes the signs of everything inside the parenthesis, so now we have, without parenthesis:

x^2-2x^2+5 which simplifies down to

-x^2+5

4 0
3 years ago
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