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noname [10]
1 year ago
5

Which equation represents a line which is parallel to the line 8y-3x=-8

Mathematics
1 answer:
marin [14]1 year ago
7 0

First, we need to make the equation given to be in the form;

y=mx + b

where m is the slope and b is the intercept

8y - 3x = -8

Add 2x to both-side of the equation

8y = 3x - 8

Divide through the equation by 8

y = 3/8 x -1

comparing the above with y =mx + b

m = 3/8

slope of parallel equations are equal

From the options given the only equation with slope 3/8 is;

y= 3/8 x + 8

y=\frac{3}{8}x\text{ + 8}

The above equation of the line is parallel to 8y - 3x = -8

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tia_tia [17]

Answer:

The solution is:

-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}

Please check the attached line graph below.

Step-by-step explanation:

Given the expression

-7r-4\ge \:4r+2

Add 4 to both sides

-7r-4+4\ge \:4r+2+4

Simplify

-7r\ge \:4r+6

Subtract 4r from both sides

-7r-4r\ge \:4r+6-4r

Simplify

-11r\ge \:6

Multiply both sides by -1 (reverses the inequality)

\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)

Simplify

11r\le \:-6

Divide both sides by 11

\frac{11r}{11}\le \frac{-6}{11}

Simplify

r\le \:-\frac{6}{11}

Therefore, the solution is:

-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}

Please check the attached line graph below.

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Answer:

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Step-by-step explanation:

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y= Amount after depreciation.

r= Rate of depreciation,

t = time (in years)

According to given problem,

x = 1040, y= 944 and t = 12 months =1 year.

So, first step is to plug in these values in the above formula, So,

944 = 1040(1-r)^1

944 = 1040 (1 -r)

\frac{944}{1040} =1-r Divide each sides by 1040.

0.907692308 =1 - r

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plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.

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y = 1000 (Rounded to nearest integer).

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Answer:

b

Step-by-step explanation:

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