Without graphing, classify each system of equations as independent, dependent, or inconsistent. Solve independent systems by graphing.1) 5 - y = 2x
6x - 15 = -3y

2) 6y + 2x = 8
12y + 4x = 4

Answers

Answer 1

Answer:

The correct classification of the given equations is as follows:

First equation is dependent
Second equation is inconsistent

What is a Dependent Equation?

This refers to the system of equations where an equation has infinite solutions and has more than one form on a given line.

With this in mind, we can see that when we are given a system of equations such as

5 - y = 2x

6x - 15 = -3y, then we know that this is a dependent equation because of the infinite solutions on the two equations.

Read more about dependent equations here:
brainly.com/question/10417850

Answer 2

Answer: 1. Is Dependent.
2. Is Inconsistent

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A right triangle has legs with lengths 20 cm and 21 cm.What is the length of the hypotenuse?

Answers

The length of the hypotenuse of the given right-angled triangle is 29 cm.

What is the hypotenuse?

The longest side of a right-angled triangle, i.e. the side opposite the right angle, is called the hypotenuse in geometry.

Pythagorean theorem :

If p be the length of the hypotenuse of a right-angled triangle, q and r be the lengths of the other two sides, then

p² = q² + r²

How to solve this problem?

Here, the lengths of the other two sides of the given right-angled triangle are 20 cm and 21 cm. Put these values in the above theorem to get the desired result.

Now, p² = (20)² + (21)²

= 400 + 441

= 841

i.e. p = √(841)

= 29

Therefore the length of the hypotenuse is 29 cm.

Know more about hypotenuse here -

brainly.com/question/13644489

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c²=a²+b²
c²=20²+21²=400+441=841
c²=841
c=√841
c=29
Answer: 29 cm

What 2 numbers add up to 1 and multiply to -12

Answers

-3 and 4......................

-3 * 4 = -12
-3 + 4 = 1

Solve the equation using the quadratic formula : x^2-10x+25=18

Answers

$x^2-10x+25=18 \n \nx^2-10x+25-18 = 0\n \n x^2-10x+ 7 =0 \n \na=1 , b = -10 , c= 7 \n \n \Delta = b^(2)-4ac = (-10)^(2)-4*1*7=100-28 = 72 \n \n√(\Delta )=√(72)= √(2*36) =√(36)*√(2) =6√(2)$

$x_(1)=(-b-√(\Delta ))/(2a) =(10- 6√(2))/(2)=(2(5-3√(2)))/(2)= 5-3√(2)\n \nx_(2)=(-b+√(\Delta ))/(2a) =(10+ 6√(2))/(2)=(2(5+3√(2)))/(2)= 5+3√(2)$

$Answer : \ x= 5-3√(2) \ \ or \ \ x = 5+3√(2)$

Find the student’s error in solving the following inequality.31 < –5x + 6
25 < –5x
–5 < x

a. The student should have added 6 to both sides instead of subtracting it.

b. The student divided 25/–5 incorrectly.

c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.

Answers

Answer: c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.

Step-by-step explanation:

From the given steps, the last step is done wrong by student.

When we multiply or divide any negative number on vboth sided of the inequality, the sign of inequality reverse its direction .

In the last step student divide the inequality by -5 but didn't switch direction of the inequality sign.

hence, c is the right option "The student should have switched the direction of the inequality sign to get –5> x for a final answer."

Hello,
Answer C

When you divide by a negative number the order is invert. (< become >")

What is the slope of the graph of 12x + 3y = –17?A.-4

B.negative one-fourth

C.one-fourth

D.4

Answers

To get the slope you need to solve for y:
12x+3y=-17
Subtract 12x from both sides:
3y=-12x-17
Divide everything by 3:
y=-4x-17/3
The slope is -4.

Sarah is planning to spend a week at her friend’s summer house in Miami Beach. All meals will be provided by her friend’s parents, but Sarah still needs at least $500 to pay for her airfare and personal expenses for the week. She is selling bracelets and earrings to fund her trip. A graph representing this situation is shown below.Questions:
1.This region represents the combinations of bracelets and earrings that Sarah must sell in order to get a minimum of $500 profit to pay for her trip.
2.This region represents the area where Sarah sells a lot of earrings but not enough bracelets to reach her $500 goal.
3.This region represents the area where Sarah sells a lot of earrings but not enough bracelets to reach her $500 goal.

graph below ∨↓↓↓↓

Answers

Given:
x > 50
2x + 3y > 500

Bracelet is represented by x.
Earrings is represented by y.

Since x > 50 let us assume that x = 50 to get the value of y in the inequality equation.

2x + 3y > 500
2(50) + 3y > 500
100 + 3y > 500
-100    -100
3y > 400
  ÷3   ÷3
y   > 133 1/3

x > 50 ; y > 133 1/3

Let us assume that no bracelet was sold. x = 0 ; y =?

2x + 3y   > 500
2(0) + 3y   > 500
0 + 3y   > 500
÷ 3     ÷3
  y   > 166 2/3

Let us assume that no earrings was sold; y = 0 ; x = ?
2x + 3y   > 500
2x + 3(0) > 500
2x + 0 > 500
2x > 500
÷2   ÷2
x > 250

Let us assume that we sold have of each item.
x = 250/2 = 125 ; y = 166 2/3 ÷ 2 = 100

2x + 3y > 500
2(125) + 3(100) > 500
250 + 300   > 500
550   > 500

To get at least $500, Sarah needs to sell at least 100 bracelets and 100 earrings.

the first one is region 2 and the second is region 3 i think

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