All categories

3 years ago

How can you identify the solution to a system of equations from a graph?

Mathematics

1 answer:

Tomtit [17]3 years ago

7 0

Answer:

Where the graphs intersect is the solution to the system of equations

Step-by-step explanation:

Where the graphs intersect is the solution to the system of equations

The points of intersection is the solution to the system of equations. If they do not intersect, there is no solution

You might be interested in

Which set of ordered pairs below is a function?

Paha777 [63]

The answer is A.

Ordered pairs that equate to a function would not have two separate points with the same x-value. In other words, every x-value must be associated with only one y-value.

5 0

3 years ago

Solve using elimination x-2y=12 and 5x+3y=-44 (4,8) (-4,8) (4,-8) (-4,-8)

Leya [2.2K]

Answer:

(-4, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x - 2y = 12

5x + 3y = -44

Step 2: Rewrite Systems

x - 2y = 12

[Multiplication Property of Equality] Multiply everything by -5: -5x + 10y = -60

Step 3: Redefine Systems

-5x + 10y = -60

5x + 3y = -44

Step 4: Solve for y

Elimination

Combine 2 equations: 13y = -104
[Division Property of Equality] Divide 13 on both sides: y = -8

Step 5: Solve for x

Define original equation: x - 2y = 12
Substitute in y: x - 2(-8) = 12
Multiply: x + 16 = 12
[Subtraction Property of Equality] Subtract 16 on both sides: x = -4

6 0

3 years ago

If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability of getting two queens and two kings.

Bingel [31]

Given:

If you are dealt 4 cards from a shuffled deck of 52 cards.

We need to determine the probability of getting two queens and two kings.

Probability of getting two queens and two kings:

The number of ways of getting two queens is $4C_2$

The number of ways of getting two kings is $4C_2$

Total number of cases is $52C_4$

The probability of getting two queens and two kings is given by

$\text {probability}=\frac{\text {No.of fanourable cases}}{\text {Total no.of cases}}$

Substituting the values, we get;

$probability=\frac{4C_2 \cdot 4C_2}{52C_4}$

Simplifying, we get;

$probability=\frac{6 (6)}{270725}$

$probability=\frac{36}{270725}$

$probability=0.000133$

Thus, the probability of getting two queens and two kings is 0.000133

7 0

4 years ago

State which measure of center, or measure of spread, represents the situation. A company finds the difference between the lighte

bearhunter [10]

The difference between the minimum data point and the maximum data point is called the range. This is a measure of spread.
Other measures of spread include the interquartile range/IQR, which helps eliminate outliers, the standard deviation, and the mean absolute deviation. Measures of central tendency include the mean, median & mode.

8 0

3 years ago

F(x)=x^2-1 G(x)=x-1 find (f+g)(10).

WARRIOR [948]

<h2>Adding Functions</h2><h3>Answer:</h3>

$(f +g)(10) = 108$