What value must replace the "?" in order for this polynomial to be expressed as a difference of squares?

1 answer:

8 0

? must be equal 0 in order for this polynomial to be expressed as a difference of squares

x^2 - 36
= x^2 - 6^2
=(x + 6)(x - 6)

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What is the value of x in the equation 3- 2x = -1.5х?

Vika [28.1K]

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3 - 2x = -1.5x

Step 2: Solve for x

Add 2x on both sides: 3 = 0.5x
Divide 0.5 on both sides: 6 = x
Rewrite: x = 6

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 3 - 2(6) = -1.5(6)
Multiply: 3 - 12 = -9
Subtract: -9 = -9

Here we see that -9 does indeed equal -9.

∴ x = 6 is the solution to the equation.

6 0

2 years ago

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4. Make up a system of equations with infinite solutions

Taya2010 [7]

Answer:

$\left \{ {{x+y=1} \atop {2x+2y=2}} \right.$

Step-by-step explanation:

As long as the two equations represent the same straight line on the coordinate plane (they overlap), there will be infinite many intersections and infinite number of solutions.

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3 years ago

Which equation models a line that passes through point (-2,2) And has a slope of -8

trasher [3.6K]

So we will be using $y=mx+b$ form, in which m = slope and b = y-intercept. Since we know the slope (-8), all we need to do is solve for the y-intercept. We can do this by inserting (-2,2) into the equation and solve for b.