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bagirrra123 [75]
3 years ago
7

O two decimal places, find the value of k that will make the function f(x) continuous everywhere. F of x= 3(x) + k for x less th

an or equal to 3 and is equal to k(x) squared - 6 for x greater than 3
Mathematics
1 answer:
enot [183]3 years ago
5 0

Answer:

  k ≈ 1.88

Step-by-step explanation:

In order for the function to be continuous, the pieces of the function must have the same value at x=3. That is ...

  f(3) = 3(3) +k = k(3^2) -6

  15 = 8k . . . . . add 6-k, simplify

  k = 15/8 = 1.875 ≈ 1.88

To two decimal places, the value of k that makes f(x) continuous at x=3 is 1.88.

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The circumference of the great wheel was twelve thousand and forty-one thousand inches. The cricumference of the lesser wheel wa
Korvikt [17]

Answer:

The larger wheel is 10979.04098 more than the smaller wheel.

Step-by-step explanation:

Given that,

The circumference of the great wheel was twelve thousand and forty-one thousandth inches.

C = 12000.041 inches

The circumference of the lesser wheel was only one thousand twenty-one and two hundred-thousand inches.

C' = 1021.00002 inches

We need to find how much larger was the great wheel. To find it, take the difference of C and C'.

C-C' = 12000.041 inches - 1021.00002 inches

= 10979.04098 inches

Hence, the larger wheel is 10979.04098 more than the smaller wheel.

5 0
3 years ago
Janice works for a salary of $2,396 per month. She has federal income tax withheld at the rate of 15 percent, Social Security ta
MAVERICK [17]

Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.

Let us calculate total deductions.

Federal income tax = 15% of 2396 = 0.15*2396      =$359.4

Social security tax  = 6.2% of 2396=0.062*2396    =$148.552

Medicare tax           = 1.45% of 2396= 0.0145*2396=$34.742

<u>health insurance premium                                         =$95          </u>

Total deductions                                                        = $637.694

To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306

Hence net pay of Janice is $1758.306 per month.

4 0
3 years ago
Solve the following problems:
siniylev [52]

Answer:

  DB = 13 cm

Step-by-step explanation:

ΔCAB ≅ ΔDBA by ASA, so CA ≅ DB by CPCTC.

CA = 13 cm, so DB = 13 cm.

8 0
3 years ago
Read 2 more answers
kinata goes for swimming lessons every 5 days while wayo goes every 6 days. if both kinata and wayo had lessons together at the
eduard
5*6=30
and 6*5=30
basically we have to take Lcm of 5 and 6=30
30th day they both will be together
4 0
3 years ago
Expand and simplify (x+3)(x+5)​
borishaifa [10]
The answer is here written

4 0
3 years ago
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