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11 months ago

3х – 8y = -56 -3х – 56 = -8ysolve using system of equations

1 answer:

7 0

$\begin{gathered} 3x-8y=-56 \\ -3x+8y=56 \\ \text{those equations are equivalent, so we only need to solve one},\text{ } \\ 3x-8y=-56\rightarrow3x=-56+8y\rightarrow x=\frac{-56+8y}{3} \\ \text{let y=t} \\ S=\lbrace(\frac{-56+8t}{3},t)^{}\colon t\in R\}^{} \end{gathered}$

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Suppose y varies directly as x, and y = 21 when x = 3. Find x when y = 42.

nata0808 [166]

Answer:

x = 24

Step-by-step explanation:

y₂ - y₁

42 - 21 = 21

x + 21

3 + 21 = 24

So when y increases by 21, so does x.

x = 24

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3 years ago

The general equation for an ellipse?

allochka39001 [22]

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Step-by-step explanation:

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3 years ago

Macy's if offering a sale where you can use two different coupons, Coupon A gives 15%

Juliette [100K]

The ticket price of the item after applying coupon B first and then coupon A is $65.45

Coupons reduce the ticket price of an item.

Ticket price after coupon B is applied

An item costs $80. After applying the coupon B which gives, $3 off the price, the cost of the item reduces to $77 ($80 - $3).

The ticket price of the item after coupon B is applied is $77

Ticket price after coupon A is applied

The item costs $77 when coupon B is applied. If the discount is 15% off on coupon A, it means that the item costs 85%( 100 - 15%) of its initial price.

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85% x $77

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A similar question was solved here: brainly.com/question/17413216?referrer=searchResults

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2 years ago

What is an equation of the line that passes through the points (-2, 1) and (-8, 4)?

goldenfox [79]

<h2>Answer: y = - ¹/₂ x OR y - 1 = - ¹/₂ (x + 2) </h2>

<h3>Step-by-step explanation: </h3>

For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:

The question gives us two points, (-2, 1) and (-8, 4), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

= (4 - 1) ÷ (-8 - (-2))

= - ¹/₂

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

⇒ y - 1 = - ¹/₂ (x - (-2))

∴ y - 1 = - ¹/₂ (x + 2)

we could also transform this into the slope-intercept form ( y = mx + c)

since y - 1 = - ¹/₂ (x + 2)

⇒ y = - ¹/₂ x

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

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