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3 years ago

How many solutions will this system of equations have?

Mathematics

1 answer:

Sliva [168]3 years ago

5 0

Answer: One solution

Step-by-step explanation:

y = 3.5x - 3.5

y = -3.5x + 3.5

Use substitution to solve:

3.5x - 3.5 = -3.5x + 3.5

+3.5x +3.5x

7.0x - 3.5 = 3.5

+3.5 +3.5

7.0x = 7.0

÷7.0 ÷7.0

x = 1.0

Since there is a solution for x, then there is one solution

************************************************************************************

Answer: 9x - 12y = 24

Step-by-step explanation:

consistent-dependent means they are the same line. This occurs when the given line is multiplied by a constant.

Let the constant be 3, then y = 3(3x - 4y = 8)

= 9x - 12y = 24

***********************************************************************************

Answer: 19 laptops and 11 tablets

Step-by-step explanation:

Laptops (x): $515

Tablets (y): $285

EQ1: 515x + 285y = 11,080

EQ2: x + y = 30

Use elimination to solve:

515x + 285y = 11,080 ⇒ ⇒ ⇒ ⇒ 515x + 285y = 11,080

x + y = 30 ⇒ =515(x + y = 30) ⇒ -515x - 515y = -15,450

-230y = 4,370

÷-230 ÷-230

y = 19

x + y = 30

x + 19 = 30

x = 11

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faust18 [17]

To find the measure of the s angle que are going use the cosine law because we know all the sides of the triangule:

s² = r² + t² - 2*r*t * cos(S)

Then solve the equation

s² -r² - t² = -2*r*t * cos(S)

arccos ((s² -r² - t² /-2*r*t)) = S

arccos (((250)² -(850 cm)²-(940 cm)² /(-2* 850 cm*940 cm) = S

14.9 = S

round to the nearest 10th of a degree

15º = S

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2 years ago

Hayden is organizing his assets and liabilities in the table below. If his net worth is $17,550, then how much does he have in h

77julia77 [94]

Answer: His checking account balance is $2,800.

Step-by-step explanation: What Hayden is doing is comparing his assets against his liabilities. This will determine his net worth. His assets ideally are those that increase his net worth such as landed properties, etc while his liabilities in the simplest language are those debts he is paying off either right away, or that he must pay off eventually.

In other words, to determine his net worth, Hayden has to add up all his assets and from the total derived, deduct his liabilities.

Consider the calculations below;

NET WORTH: $17,550

Add ASSETS

Automobile 13600

Retirement Account 6700

Checking Account XX

Less LIABILITIES

Student Loan 4800

Credit card debt 750

Net Worth 17550

The above table can be simplified as follows;

Net worth = Assets - Liabilities

17550 = 20300 + XX - 5550

Collecting like terms, you now have;

17550 -20300 +5550 = XX

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The Checking Account represented by XX is now calculated as $2,800

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3 years ago

Which trigonometric functions are negative in the fourth (IV) quadrant?

anzhelika [568]

<h3>Answers are: sine, tangent, cosecant, cotangent</h3>

Explanation:

On the unit circle we have some point (x,y) such that x = cos(theta) and y = sin(theta). The sine corresponds to the y coordinate of the point on the circle. Quadrant IV is below the x axis which explains why sine is negative here, since y < 0 here.

Since sine is negative, so is cosecant as this is the reciprocal of sine

csc = 1/sin

In quadrant IV, cosine is positive as x > 0 here. So the ratio tan = sin/cos is going to be negative. We have a negative over a positive when we divide.

Because tangent is negative, so is cotangent.

The only positive functions in Q4 are cosine and secant, which is because sec = 1/cos.

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3 years ago

Zack and tia played chess for 50 minutes they put the chess board away at 11:20 when did they start

svetlana [45]

10:30 because an hour before 11:20 is 10:20, but it was only 50 minutes, so add 10 minutes to 10:20 , and there you have it, 10:30.

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4 years ago

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iragen [17]

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88m

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3 years ago