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3 years ago

Use the substitution method to solve the system of equations.

Mathematics

1 answer:

Murrr4er [49]3 years ago

8 0

Answer:

D. (1/4, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -8x

4x - y = 3

Step 2: Solve for x

Substitution

Substitute in y: 4x - (-8x) = 3
Simplify: 4x + 8x = 3
Combine like terms: 12x = 3
Isolate x: x = 3/12
Simplify: x = 1/4

Step 3: Solve for y

Define equation: y = -8x
Substitute in x: y = -8(1/4)
Multiply: y = -2

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A quadratic equation has exactly one real number solution. Which is the value of its discriminant?

zhenek [66]

<h3>Answer: 0</h3>

The discriminant is the number under the square root of the quadratic formula

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

The discriminant formula is $D = b^2-4ac$

If D = 0, then the whole square root portion is 0 meaning we end up with the solution $x = -\frac{b}{2a}$

4 0

3 years ago

PLS HELP Which equation describes the function shown in the table?

evablogger [386]

Answer:

The first one

Step-by-step explanation:

Because it already give you the y-intercept and you can solve x by doing 4 to 7 have to add 3 and x only have to add 1. It will give you a slope 3/1, so it is 3.

y=3x+1

7 0

3 years ago

Explain how you might use the properties of multiplication to solve 5 × 120 × 6.232 mentally. Then solve.

zysi [14]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In this question, we apply the associative property that calculates the given value, which can be defined as follows:

Rule:

$\bold{\to (A\times B)\times C= A \times (B\times C)}$

Let,

$A= 5\\B=120\\C=6.232$

put the value in the above rule:

Solve L.H.S part:

$\to (5\times 120)\times 6.232\\\\\to (600)\times 6.232\\\\\to 3,739.2$

Solve R.H.S part:

$\to 5 \times (120 \times 6.232)\\\\\to 5 \times 747.84\\\\\to 3,739.2$

So, L.H.S=R.H.S

6 0

3 years ago

Which of the following equations could be used to find one of the numbers

shutvik [7]

Answer:

May you provide images?

Step-by-step explanation:

8 0

4 years ago

Select the point that is a solution to the system if inequalities yx^2-6

labwork [276]

Answer:

The correct answer is A.

$A(0,-2)$

Step-by-step explanation:

Method 1

You just have to plot each point on the graph.

The one that falls within the solution region is the correct choice.

From the graph, $A(0,-2)$ falls within the solution region.

See graph

Method 2

If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.

The first inequality is

$y\:$

If we substitute $A(0,-2)$ , we get;

$-2\:$

This statement is true.

The second inequality is

$y\:>\:x^2-6$

If we substitute $A(0,-2)$ , we get;

$-2\:>\:(0)^2-6$

This gives,

$-2\:>\:-6$

This statement is also true.

8 0

4 years ago