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3 years ago

Solve. check for extraneous solutions 3 l4w-1l -5 = 1

Mathematics

2 answers:

nikdorinn [45]3 years ago

7 0

Answer: w

Step-by-step explanation: i hope this helps

borishaifa [10]3 years ago

6 0

Answer:

w = 3/4 or w = -1/4

Step-by-step explanation:

3l4w - 1l - 5 = 1

Add 5 to both sides.

3|4w - 1| = 6

Divide both sides by 3.

|4w - 1| = 2

Set the inside of the absolute value equal to 2 and -2.

4w - 1 = 2 or 4w - 1 = -2

Add 1 to both sides.

4w = 3 or 4w = -1

Divide both sides by 4.

w = 3/4 or w = -1/4

Check w = 3/4:

3l4w - 1l - 5 = 1

3|4(3/4) - 1| - 5 = 1

3|3 - 1| - 5 = 1

3|2| - 5 = 1

6 - 5 = 1

1 = 1

w = 3/4 works.

Check w = -1/4:

3l4w - 1l - 5 = 1

3|4(-1/4) - 1| - 5 = 1

3|-1 - 1| - 5 = 1

3|-2| - 5 = 1

3(2) - 5 = 1

6 - 5 = 1

1 = 1

w = -1/4 works.

There are no extraneous solutions.

Answer: w = 3/4 or w = -1/4

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Find slope intercept form of 5x+8y=120 passing through (4,5)

yarga [219]

Answer:

$y=-(5/8)x+(15/2)$ or $y=-0.625x+7.5$

Step-by-step explanation:

The question is

Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)

step 1

Find the slope of the given line

we have

$5x+8y=120$

isolate the variable y

$8y=-5x+120$

$y=-(5/8)x+15$

The slope of the given line is m=-5/8

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

The slope of the parallel line to given line is m=-5/8

step 3

Find the equation of the line into slope intercept form

The equation of the line into slope intercept form is equal to

$y=mx+b$

we have

m=-5/8 and point (4,5)

substitute and solve for b

$5=-(5/8)(4)+b$

$b=5+(20/8)$

$b=60/8=15/2=7.5$

substitute

$y=-(5/8)x+(15/2)$

$y=-0.625x+7.5$

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3 years ago

A tank is filled with 1000 liters of pure water. Brine containing 0.07 kg of salt per liter enters the tank at 9 liters per minu

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Answer: A. S(t)= 1000 + 0.63t + 0.48t - 17t

B. S(t)= 984.11

Step-by-step explanation:

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3 years ago

Alan made a small four sided table for his office .Two sides of the table are 27 inches long and 36 inches long .If the diagonal

Tcecarenko [31]

Answer:

does NOT have right angles at the corners

Step-by-step explanation:

we are given that the sides of a table are 27" and 36" long.

If we assume the table to be rectangular, then by Pythagorean formula, we can find the diagonal and compare it to the 40" that we are given.

(refer to attached)

diagonal² = 27² + 36²

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2 years ago

The median household incomes in dollars in four towns over time are shown. Assume the median incomes increase linearly. Median H

marysya [2.9K]

Answer:

Step-by-step explanation:

Household. Year 2010. Year 2015. Difference

Adderley. 47,200 58,200. 11,000

Bonniville. 52,900. 62,400. 9,500

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lbvjy [14]

I think The answer is a.59

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3 years ago