All categories

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

You might be interested in

X- 14x + 40

Vinil7 [7]

The answer is : B. (X-10)(x-4)

5 0

3 years ago

Read 2 more answers

How are greater than and greater than or equal to similar?<br> How are they different

anzhelika [568]

Greater than means it can only be greater than the value give for example x is greater than 10, x can only be a number greater than 10. Greater than or equal to is similar because the answer can be greater than the value given or equal to it. For example x is greater than 10, x could be equal to 10 or any value greater than it.

5 0

3 years ago

What is equivalent to 6/7

REY [17]

The answer is 12/14 just times 2 to it i think

6 0

2 years ago

Read 2 more answers

At last year's company picnic, 25 pounds of ground beef were needed to make 100 hamburgers.

fomenos

Answer:

46lb

Step-by-step explanation:

you take twenty five divide by one twenty

7 0

2 years ago

Read 2 more answers

Pls help sixowiskosixo

erma4kov [3.2K]

The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

<h3>Quadratic Equation</h3>

Quadratic equation are polynomials with a second degree as it's highest power.

An example of a quadratic equation is

$y = ax^2 + bx + c$

The given quadratic equation is $24x^2 + 2x = 15$

Let's rearrange the equation

$24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0$

This implies that

a = 24
b = 2
c = -15

The equation or formula of quadratic formula is given as

$y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}$

We can substitute the values into the equation and solve

$y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}$

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

Learn more on quadratic equation here;

brainly.com/question/8649555

#SPJ1

7 0

1 year ago