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Paul [167]
4 years ago
9

Solve the radical equation. m - 3 = √ 19 - 3m. Which is an extraneous solution to the radical equation?

Mathematics
2 answers:
Sphinxa [80]4 years ago
7 0
The answer is m=5 and m=-2. There is no extraneous solution for this equation.

kari74 [83]4 years ago
5 0

Answer:

  The extraneous solution is m = -2

Step-by-step explanation:

This is normally solved by squaring both sides and solving the resulting quadratic.

(3-m)^2=19-3m\\\\m^2-3m-10=0 \quad\text{subtract 19-3m}\\\\(m-5)(m+2)=0 \quad\text{factor}

The values of m that make the factors zero are 5 and -2. For m=5, the equation becomes ...

  5-3 = √(19-3·5)   ⇒   2 = √4 . . . . . true

For m = -2, the equation becomes ...

  -2-3 = √(19-3(-2))   ⇒   -5 = √25 . . . . . not true

The extraneous solution is m = -2.

_____

Solving the equation graphically, it becomes readily apparent that the only solution is m=5. Extra work is required to see the extraneous solution is m=-2.

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Alpha printing will make 400 brochures for $100. Omega printing will make 1,000 brochures for $100. How much money will you save
Dmitriy789 [7]

it is given in the question that

Alpha printing will make 400 brochures for $100. Omega printing will make 1,000 brochures for $100.

For Alpha, cost of 1 brochure is

= \frac{100}{400} = $0.25

For Omega,

Cost of 1 brochure is

= \frac{100}{1000} = 0.10

So choosing Omega printing, you will save

= 0.25-0.10 = $0.15

on each brochure .

6 0
3 years ago
Identify the equation that represents this solution & the correct solution.
Hitman42 [59]
The answer is A. d-17= 22; d=39
6 0
3 years ago
A bottle holds 5/12 gallon of water. How many bottles can be filled with 2 1/4<br> gallons of water?
tekilochka [14]

Answer: 0.185 gallons

Step-by-step explanation:

Divide 5/12 by 2 1/4

First convert the improper fraction to a proper fraction, 2 1/4 = 9/4

5/12 ÷ 9/4

= 5/12 × 4/9

= 5/27 = 0.185

6 0
3 years ago
A savings account for a car is set up with an initial balance of $3000, and 125 is added every
zhuklara [117]

Answer:

1) 3000 + 125m

2) 3000 + 125m = 5000

3) M= 16

4) It would take 16 months

Step-by-step explanation:

Okay so no since there are no other transaction and you already have a balance of 3000 with a monthly Fee of 125 the equation shpuld be like this.

So every month you add 125,we dont know how much months we have to pay so we can use the variable given to us in this case “M”. So your base expression should look like this,

3000 + 125m (3000 base fee that doesnt change, and 125 every month fee)

Then it asked us to put it as the final balance as 5000, so using the base expression we can do this

3000 + 125m = 5000

Now to solve it you would solve it like any other equation

5000-3000=2000

2000=125m

2000/125= 16

Okay so m = 16

M in this case stands for months so the final answer would be it would take 16 months to reach the final balance of 5000

6 0
3 years ago
The cost per hour of running an assembly line in a
nlexa [21]

Answer:

the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.

Step-by-step explanation:

if there is no mistake in the problem description, I read the following function :

C(x) = y = 0.3x² - 1.2x + 2

I don't know if you learned this already, but to find the extreme values of a function you need to build the first derivative of the function y' and find its solutions for y'=0.

the first derivative of C(x) is

0.6x - 1.2 = y'

0.6x - 1.2 = 0

0.6x = 1.2

x = 2

C(2) = 0.3×2² - 1.2×2 + 2 = 0.3×4 - 2.4 + 2 = 1.2-2.4+2 = 0.8

so, the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.

5 0
3 years ago
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