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2 years ago

Which ordered pair below is a solution to the following system of equations?

Mathematics

1 answer:

KatRina [158]2 years ago

3 0

The solution of the equation is given by (-2,-1), This is represented by option C.

<h3>What is a System of Equations?</h3>

A system of equations is a set of equation that have a common solution.

The solution of the equations can be determined by using the Elimination and Substitution method

3x-5y = -1

2x-y = -3

-7x = 14

x = -2

Substituting this value in the equation

3 * (-2) -5y = -1

-6 -5y = -1

-5y = 5

y = -1

Therefore, the solution of the equation is given by (-2,-1), This is represented by option C.

To know more about System of Equations

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Why do you multiply 12 by 3 to find the total number cubes in the bottom 3 layers

BaLLatris [955]

because there are 12 in one layer and there are 3 layers

4 0

3 years ago

Help me find the range of this function please

lara31 [8.8K]

Answer:

{-2, -14, -26, -50}

Step-by-step explanation:

The range of the function is the function evaluated at each point of the given domain. So to find the range of the function we need to find the value of the function for each point in the domain:

- For x = -8

$f(x)=-2x-18$

$f(-8)=-2(-8)-18$

$f(-8)=16-18$

$f(-8)=-2$

The first value of the range of the function is -2

- For x = -2

$f(x)=-2x-18$

$f(-2)=-2(-2)-18$

$f(-2)=4-18$

$f(-2)=-14$

The second value of the range is -14

- For x = 4

$f(x)=-2x-18$

$f(4)=-2(4)-18$

$f(4)=-8-18$

$f(4)=-26$

Th third values of the range is -26

- For x = 16

$f(x)=-2x-18$

$f(16)=-2(16)-18$

$f(16)=-32-18$

$f(16)=-50$

The fourth and last value of the range is -50

Now we can put all the values of the range together

The range of the function is {-2, -14, -26, -50}

8 0

3 years ago

Determine the value of k

KATRIN_1 [288]

Answer:

$\displaystyle k = 6$

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

Functions
Function Notation

Algebra II

Piecewise Functions

Calculus

Limits
Continuity

Step-by-step explanation:

Step 1: Define

Identify

Continuous at x = 2

$\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.$

Step 2: Solve for k

Definition of Continuity: $\displaystyle \lim_{x \to 2^+} 2x^2 = \lim_{x \to 2^-} x + k$
Evaluate limits: $\displaystyle 2(2)^2 = 2 + k$
Evaluate exponents: $\displaystyle 2(4) = 2 + k$
Multiply: $\displaystyle 8 = 2 + k$
[Subtraction Property of Equality] Subtract 2 on both sides: $\displaystyle 6 = k$
Rewrite: $\displaystyle k = 6$