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3 years ago

The output equals 1 less than three times the input

Mathematics

1 answer:

Nastasia [14]3 years ago

4 0

Complete Question:

The output equals 1 less than three times the input

Write and solve any equation to find input when the output is -3

Answer:

y = 3x - 1

x = -⅔ when y = -3

Step-by-step explanation:

Given

Represent the input with x and the output with y.

First, we need to write out the output as a function of the input.

[Three times the input] implies 3 * x

[1 less than this] implies 3*x - 1

The above expression is said to be the output.

So,

y = 3 * x - 1

y = 3x - 1

The next part of the question is to solve for x when y = -3

Substitute -3 for y in y = 3x - 1

-3 = 3x - 1

Collect Like Terms

3x = 1 - 3

3x = -2

Solve for x

x = -⅔

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What is the length of line PS

stiks02 [169]

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$7x^2 - 49x- 56 = 0$

$7(x^2 - 7x - 8)= 0$

$(x - 8)(x + 1) = 0$

$x - 8 = 0~~~or~~~x + 1 = 0$

$x = 8~~~or~~~x = -1$

x = -1 makes the lengths of segments PQ and PR equal zero.
That is not possible, so the solution x = -1 is discarded.

x = 8

PS = 3x + 3 + 21

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4 years ago

Can someone simplify this equation and solve for x and y? (2x-5)+(y-1)+x=169

goldenfox [79]

Answer:

Answer

2x+3y=14,2x−3y=2

Adding :

2x+3y=14

2x−3y=2

__________

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Step-by-step explanation:

here you go

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3 years ago

Read 2 more answers

What is 5 5/16 as a decimal

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3 years ago

7 Find the product of _m²n, 32 gm²n, -m -mn³, 14mn². 49

DedPeter [7]

Answer: A

Step-by-step explanation:

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2 years ago

How to prove it equal 8?

iogann1982 [59]

Answer:

The answer equals -8

Step-by-step explanation:

Order of Operations: BPEMDAS

FOIL - First, Outside, Inside, Last

Step 1: Write out expression

$(\sqrt{4-3i} -\sqrt{4+3i})^6$

Step 2: Expand

$(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})$

Step 3: FOIL first 2

$(\sqrt{4-3i} -\sqrt{4+3i})^2 = -2$

Step 4: Replace square roots with -2

-2(-2)(-2) = (-2)³ = 8

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3 years ago