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3 years ago

Solve the following for y: −6x + 2y = 8 (5 points)

Mathematics

2 answers:

Ivan3 years ago

8 0

Answer:

y = 3x + 4

Step-by-step explanation:

−6x + 2y = 8

Add 6x to both sides.

−6x + 6x + 2y = 6x + 8

2y = 6x + 8

Divide both sides by 2.

y = 3x + 4

Radda [10]3 years ago

5 0

For this case we have the following equation:

$-6x + 2y = 8$

We must find the value of and, for this we perform the following steps:

We add 6x to both sides of the equation:

$-6x + 6x + 2y = 8 + 6x\\2y = 6x + 8$

We divide between 2 on both sides of the equation:

$y = \frac {6x} {2} + \frac {8} {2}\\y = 3x + 4$

Answer:

$y = 3x + 4$

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2 years ago

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Step-by-step explanation:

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2 years ago

Use the convolution theorem to find the inverse Laplace transform of the given function. StartFraction 5 Over s cubed (s squared

GalinKa [24]

Answer:

$\frac{1}{2}$ $t^{2}Sin5t$

Step-by-step explanation:

using the Convolution theorem to find the inverse of :

$\frac{5}{s^{3}(s^{2}+25 ) }$

$L^{-1}$ $\frac{5}{s^{3}(s^{2}+25 ) }$ = $\frac{1}{s^{3} }$ × $\frac{5}{s^{2}+25}$

we know from derivation that

Sin(at) = $\frac{a}{s^{2}+a^{2} }$

Hence: $\frac{5}{s^{2}+25}$ = Sin5t

Also: $L^{-1}$ $\frac{n!}{s^{n+1} }$ = $t^{n}$

$L^{-1}$ $\frac{1}{s^{3} }$ = $\frac{1}{2}$ $L^{-1}$ ( $\frac{2!}{s^{3} }$ )

= $\frac{1}{2}$ $t^{2}$

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2 years ago

Chase took a taxi from his house to the airport. The taxi company charged a pick-up fee of $1.20 plus $4.75 per mile. The total

bixtya [17]

Answer:

(48.70-1.20)/4.75 = x x=10

Step-by-step explanation:

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2 years ago

The coordinate plane below represents a city. Points A through F are schools in the city.

jolli1 [7]

One <u>possible answer</u> is:

y ≤ 4 and
y > 1/2x.

Explanation:

The y-coordinate of both points D and E is 4. This means if we specify that y≤4, anything above these points (point A) will not be included in the shaded area. To graph this inequality, we draw a solid line at y=4 and shade the area below it.

When we graph the ordered pairs, we can see that F would be below the line that goes from B to C. To find the equation of this line, we first find the slope using the formula
$m=\frac{y_2-y_1}{x_2-x_1}$ .

Using the coordinates of B and C, we have
$m=\frac{-2-1}{-4-2}=\frac{-3}{-6}=\frac{1}{2}$

Now we plug this into point-slope form,
y - y₁ = m(x - x₁)
y - y₁ = 1/2(x - x₁)

Using B as (x₁, y₁) we have
y - -2 = 1/2(x - -4)
y + 2 = 1/2(x + 4)

Using the distributive property,
y + 2 = 1/2*x + 1/2(4)
y + 2 = 1/2x + 2

Subtracting 2 from each side,
y + 2 - 2 = 1/2x + 2 - 2
y = 1/2x

This line goes through B and C. We want the area above this, but we do not want B and C included; this means we specify that y is greater than this line:
y > 1/2x

This would be graphed as a dotted line with the area above it shaded, up to the inequality y ≤ 4.

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2 years ago

Read 2 more answers