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omeli [17]
3 years ago
6

Which of the following is an extraneous solution of mc015-1.jpg? x = –12 x = –3 x = 3 x = 12

Mathematics
1 answer:
kramer3 years ago
3 0
The answer
the full the question is as follow:
<span>Which of the following is an extraneous solution of (45 - 3x)^1/2 =x -9

for solving such an equation, this is the method:

finding the squared value of each member of the equation
</span>[(45 - 3x)^1/2 ]²  = (x -9)²   (E)
<span>
extend each value of the member
</span>[(45 - 3x)^1/2 ]² = 45 - 3x, because   (sqrt a )² = a
the condition is 45 - 3x≥0 ( because of the square root)
it means  - 3x≥ -45 and  x ≤ 15

(x -9)² = x²-18x + 81
<span>
so </span>45 - 3x = x²-18x + 81, this is equivalent to x² - 15x  +36 =0
<span>
this equation should solve for x, for finding the help

Delta = 15² - 4*36 = 81, so x = - (-15) - sqrt (81)  /  2 *1=15-9 /2= 3

                                      and </span>x = - (-15) +sqrt (81)  /  2 *1= 15 +9/2= 24/2=12
<span>
for x= 12, the equation given above ( equation E) has no solution, because 
we can find 3=9

so </span><span>an extraneous solution is x = 12</span><span>

</span>
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Tessa’s employee benefits include family health care coverage. She contributes 18% of the cost. Tessa gets paid biweekly and $10
Salsk061 [2.6K]

The answer is $12792

Explanation:

It is known Tessa pays $108.00 to contribute to family coverage every two weeks and this represents 18% of the total payment. This implies the employer pays the 82% missing (100% - 18% = 82%). Additionally, with this information, it is possible to know the amount the employer has to pay every two weeks that represents 82%. The process is shown below:

1. Write the values you know and use x to represent the value you need to find

108 = 18        

  x =   82      

3. Cross multiply

x 18 = 8856

4. Find  the value of x by solving this simple equation

x = 8856 ÷ 18

x = 492 - Amount the employer pays every two weeks for Tessa's family coverage

Now that we know the money the employer pays every two weeks, it is possible to calculate the annual amount of money. Follow the process below.

1. Consider one year has a total of 52 weeks and divide this number of weeks by 2 because the payment for the family coverage occurs every 2 weeks

52 ÷ 2 = 26

2. Finally, multiply the money paid by the employer every two weeks by 26

26 weeks x $492 = $12792- This is the total the employer pays annually

3 0
3 years ago
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for
vivado [14]

Answer:

The equation to represent the rate of receding water level is                     L = 34 (0.5)^{d}   .

Step-by-step explanation:

Given as :

The initial level of water in river = 34 feet

The rate of receding water level = 0.5 foot per day

Or, The rate of percentage of receding water level = 50 % per day

Let the level of water after d days = L

Now,

The level of water after d days = initial level of water × ( (1-\dfrac{\textrm Rate}{100})^{Time}

I.e L = 34 × ( (1-\dfrac{\textrm 50}{100})^{d}

∴  L = 34 × (0.5)^{d}

Hence The equation to represent the rate of receding water level is                L = 34 (0.5)^{d}   . Answer

5 0
3 years ago
A recipe for fruit punch calls for 3 cups of sugar and 8 cups of water. How much sugar is used per cup of water?
Vera_Pavlovna [14]

Answer:

Im not exactly sure but i think it's 1/4 or 1/5.

Step-by-step explanation:

This was based on my work I did.

5 0
3 years ago
Read 2 more answers
Read the assignment carefully and make sure you answer each part of the question or questions.
spayn [35]

Answer:

1. 3/5=60%

2. 4 remaining in the bag

3. 2 marbles remain in the bag

4. 2/4=1/2=50%

7 0
3 years ago
Ok for this question you have to solve for m and show work
konstantin123 [22]
10 = 2/3m - 3/2m
2/3m - 3/2m = 10
m ( 2/3 - 3/2 ) = 10
-5/6m = 10
5m = -60
m = -12
3 0
3 years ago
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