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3 years ago

4y-12x+8=0; Solve for y

Mathematics

2 answers:

oksano4ka [1.4K]3 years ago

4 0

$4y-12x+8=0$

$4y = 12x-8$

$y = 3x - 2$

Luba_88 [7]3 years ago

3 0

$4y-12x+8=0\ \ \ \ /+12x\\\\4y+8=12x\ \ \ \ /-8\\\\4y=12x-8\ \ \ \ /:4\\\\y=\frac{12x}{4}-\frac{8}{4}\\\\y=3x-2$

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2 years ago

Forensic specialists can estimate the height of a deceased person from the lengths of the person's bones. These lengths are subs

Lera25 [3.4K]

Answer:

$130.2845\leq h\leq 137.7245$

Step-by-step explanation:

Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation

$|h - (2.47f + 54.10)| \leq 3.72$

If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:

$|h - (2.47(32.25) + 54.10)| \leq 3.72\\|h - (79.9045 + 54.10)| \leq 3.72\\|h - (134.0045)| \leq 3.72\\$

If the modulus function is positive then:

$h - 134.0045 \leq 3.72\\h \leq 3.71+134.0045\\h\leq 137.7245$

If the modulus function is negative then:

$-(h - 134.0045) \leq 3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\$

multiply through by -1

$-(-h)\geq -(-130.2845)\\h\geq 130.2845\\130.2845\leq h$

combining the resulting inequalities, the estimate of the possible range of heights will be $130.2845\leq h\leq 137.7245$

8 0

2 years ago

8. Charlotte is given the equation 3x - 4y = 12. She needs to create a graph of the equation, but

Zielflug [23.3K]

Answer/Step-by-step explanation:

Note:

Graphing From An Equation:

Equation are frequently written in slope-intercept form { y = mx+b}.

Which "m" represents the slope and "b" represents the y-intercept.

Solutions and Equation:

Solutions to linear equations contain any points located on the graphed line.

Ordered Pair = Solution to an equation if it's values are substituted in the equation which makes it true

Solve:

{x = 0 } 3(0) - 4y = 12

-4y = 12 (0, -3 )

-4y/-4 = 12/-4

y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

{y = 0} 3x-4(0) =12

3x = 12 (4,0)

3x/3 = 12/3

x = 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Lenvy~

5 0

2 years ago