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3 years ago

Find the sum of -x-2 and 9x^2+5

Mathematics

1 answer:

MAXImum [283]3 years ago

6 0

Add the like terms

-2+5 these are the only like terms

9x^2+-x+5-2=

9x^2+-x+3

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Select the correct answer from each drop-down menu.

RSB [31]

Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim

The question is incomplete, as the required drop-down menus are missing. So, I will give a general explanation

To show that a statement is true, you need evidence.

Take for instance:

$\mathbf{if\ a^2 = 4,\ then\ a = 2}$

The evidence that the above proof is true is by taking the squares of both sides of $\mathbf{a = 2}$

$\mathbf{a^2 = 2^2}$

$\mathbf{a^2 = 4}$

However, a counterexample does not need a proof per se.

What a counterexample needs is just an instance or example, to show that:

$\mathbf{if\ a^2 = 4,\ then\ a \ne 2}$

An instance to prove that: $\mathbf{if\ a^2 = 4,\ then\ a = 2}$ is false is:

$\mathbf{a = -2}$

Hence, the complete statement could be:

In a direct proof, evidence is used to support a proof . On the other hand, a counterexample is a single example that shows that a proof is false.

Read more about evidence and counterexample at:

brainly.com/question/88496

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2 years ago

snow_tiger [21]

Answer:

12 combinations

Step-by-step explanation:

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3 years ago

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Otrada [13]

Step-by-step explanation:

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4 0

3 years ago

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If 75% of the students in Toby's grade voted, how many students are in Toby's grade?

kupik [55]

Answer:

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Step-by-step explanation:

3 0

3 years ago

Just number 9 would be fine please but also if you could number 10 would help

topjm [15]

Answer:

9. a = -7

10. x = 1

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

a + 6a - 14 = 3a + 6a

Step 2: Solve for a

Combine like terms: 7a - 14 = 9a
Subtract 7a on both sides: -14 = 2a
Divide 2 on both sides: -7 = a
Rewrite: a = -7

Step 3: Check

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

Substitute in a: -7 + 6(-7) - 14 = 3(-7) + 6(-7)
Multiply: -7 - 42 - 14 = -21 - 42
Subtract: -49 - 14 = -63
Subtract: -63 = -63

Here we see that -63 is equal to -63.

∴ a = -7 is a solution of the equation.

Step 4: Define equation

-12 - 4x = 8x + 4(1 - 7x)

Step 5: Solve for x

Distribute 4: -12 - 4x = 8x + 4 - 28x
Combine like terms: -12 - 4x = -20x + 4
Add 20x on both sides: -12 + 16x = 4
Add 12 on both sides: 16x = 16
Divide 16 on both sides: x = 1

Step 6: Check

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

Substitute in x: -12 - 4(1) = 8(1) + 4(1 - 7(1))
Multiply: -12 - 4 = 8 + 4(1 - 7)
Subtract: -16 = 8 + 4(-6)
Multiply: -16 = 8 - 24
Subtract: -16 = -16

Here we see that -16 does indeed equal -16.

∴ x = 1 is a solution of the equation.

7 0

2 years ago