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3 years ago

Which of the following equations is not equivalent to the others?

Mathematics

1 answer:

timofeeve [1]3 years ago

8 0

Answer:

<h2>y = -4 + 3x</h2><h2>Step-by-step explanation:</h2>

Let's write the terms:

y = -4 + 3x → (-4) and (3x)

y = -3x + (-4) → (-4) and (-3x)

y = -3x - 4 → (-4) and (-3x)

y = -4 - 3x → (-4) and (-3x)

Other method

1. y = -4 + 3x

2. y = -3x + (-4) = -3x - 4 → 3. <em>use (-)(+) = (-)</em>

3. y = -3x - 4

4. y = -4 - 3x = -4 + (-3x) = (-3x) + (-4) = -3x - 4 → 3. <em>use commutative property</em>

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To convert a distance of 2200 yards to miles, which ratio could you multiply by? Remember that 1 mile=1760yards

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Rus_ich [418]

Answer:

$\sf \: 2 \frac{2}{9}$

Step-by-step explanation:

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2 years ago

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25 apples to 10 oranges. What is the rate of the fruit

Klio2033 [76]

Answer:

The rate of the fruit is 5 apples to 2 oranges.

Step-by-step explanation:

The rate of the fruit is the ratio of apples to oranges. That is, the number of apples divided by the number of oranges into its simplest fraction form:

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$x = \frac{5\,apples}{2\,oranges}$

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3 years ago

A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set

lara [203]

A circle with center $(3,0)$ and radius $5$ has equation

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If we substitute $y=2x+k$ in this equation, we have

$x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0$

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

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The expression simplifies to

$-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89$

The solutions to the associated equation are

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3 years ago

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Olegator [25]

22% of 320 = n
22% × 320 = n
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3 years ago

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