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4 years ago

How many solutions does the system below have?3y = -x + 843y = -x - 54

Mathematics

1 answer:

Dominik [7]4 years ago

6 0

Answer:

I am taking the equations as 3y= -x+8

43y= -x-5

according to this there is only one unique solution

Step-by-step explanation:

se to identify solution identify type of line first

check the ratio of coffecient of variable and constant

if y1/y2 = x1/x2 = c1/c2 then the lines are coinciding and have infinite solution

if y ratio is not equal to x then 1 solution as I your question

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Techwiz electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, Techwiz sold a c

kicyunya [14]

The combined total profit is (17x + 2502) dollars

Solution:

Profit for each Mp3 player = $ 35

Profit for each DVD player = $ 18

Let x be the number of MP3 players sold last week

Number of MP3 players = x

Last week, Techwiz sold a combined total of 139 MPS and DVD players

Total number of mp3 and dvd sold = 139

Number of DVD player = 139 - x

Write an expression for the combined total profit (in dollars) Techwiz made from MP3 and DVD players last week.

Combined total profit = Number of MP3 players x Profit for each Mp3 player + Number of DVD player x Profit for each DVD player

$combined\ total\ profit = x \times 35 + (139-x) \times 18\\\\combined\ total\ profit = 35x + 2502-18x\\\\combined\ total\ profit = 17x + 2502$

Thus the combined total profit is (17x + 2502) dollars

3 0

3 years ago

If the range of the coordinate transformation (, ) = (−2,−3 +1) is (4, −2), (2, −5), (−6, 4), what is the domain?

Alex17521 [72]

Consider the below figure attached with this question.

Given:

The transformation is:

$f(x,y)=(-2x,-3y+1)$

The range is (4,-2), (2, −5), (−6, 4).

To find:

The domain of the transformation.

Solution:

We have,

$f(x,y)=(-2x,-3y+1)$

For the point (4,-2),

$(-2x,-3y+1)=(4,-2)$

On comparing both sides, we get

$-2x=4$

$x=\dfrac{4}{-2}$

$x=-2$

And,

$-3y+1=-2$

$-3y=-2-1$

$-3y=-3$

$y=\dfrac{-3}{-3}$

$y=1$

So, the domain of (4,-2) is (-2,1).

Similarly,

For the point (2,-5),

$(-2x,-3y+1)=(2,-5)$

On comparing both sides, we get $x=-1,y=2$ . So, the domain of (2,-5) is (-1,2).

For the point (-6,4),

$(-2x,-3y+1)=(-6,4)$

On comparing both sides, we get $x=3,y=-1$ . So, the domain of (-6,4) is (3,-1).

So, the domain of the given transformation is (-2, 1), (-1, 2), (3, -1).

Therefore, the correct option is A.

4 0

3 years ago

kupik [55]

Answer:

Nadia's total earnings in month is $3196.1

Explanation:

Given salary of Nadia is $3,300 per month including a 3.25% commission

The salary consists of fixed salary and commission

Therefore, Salary = Fixed salary + Commission

Assume the fixed salary to be x

Putting values in equation

3300 = x + 3.25% of x

3300 = x + $\frac{3.25}{100} x$

3300 * 100 = 103.25x

x = $\frac{3300 * 100}{103.25}$

x = $3196.1 per month

Therefore, the fixed salary of Nadia is $3196.1 per month

4 0

3 years ago

we have to evaluate the expression for the given value of the variable. i got -16 but it’s supposed to be 48. help??

Dovator [93]

$\bf \cfrac{4(3h-6)}{1+h}\implies \stackrel{\textit{h=-2}}{\cfrac{4[3(-2)-6]}{1+(-2)}}\implies \cfrac{4[-6-6]}{1-2}\implies \cfrac{4[-12]}{-1} \\\\\\ \cfrac{-48}{-1}\implies 48$

8 0

4 years ago

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How many lines of symmetry does a Pentagon have?

Yanka [14]

Answer:

Step-by-step explanation:

6 0

4 years ago

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How many solutions does the system below have?3y = -x + 843y = -x - 54​

How many solutions does the system below have?3y = -x + 843y = -x - 54