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lorasvet [3.4K]
1 year ago
15

A(x + 1) - b(x + 1) - x - 1

Mathematics
1 answer:
Andrei [34K]1 year ago
8 0

Answer:

Step-by-step explanation:

Solution

I'm assuming you want this simplified. If not leave a note.

a(x + 1) - b(x + 1) - x - 1                     remove the brackets

ax + a - bx - b - x - 1                        gather like terms

ax - bx - x + a - b - 1

x(a - b - 1)  + (a - b - 1)                      Use the distributive property to simplify

Answer

(x + 1)(a - b - 1)

The common factor is (a - b - 1). That can be pulled out on either side of the isolated + sign

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What will be the annual salary for a mechanic who works 40 hours per week for 52 weeks a year and makes $25.21 per hour
dalvyx [7]
40 hours * 52 weeks = 2080 hours total worked that year. 

2080 hours * 25.21 paycheck = 52,436.80

In reality you would have to subtract out holidays, any vacation, any sick days and taxes. All of that information varies by location and company.
3 0
3 years ago
At cracker barrel there are 15 side items to choose from. You order a variety plate that consists of 5
Nataly_w [17]

Answer:

3003

Step-by-step explanation:

It is going to be 15C5

8 0
2 years ago
Find the values of x and y. <br> x + 7i = y − yi
lys-0071 [83]

Answer: X = y - yi - 7i

               Y = (x + 7i)/(1 - i)

Step-by-step explanation: for the case of (X) you only need to pass the 7i to the other side with the subtraction sign (-7i), then we get this equation:

x + 7i = y − yi

X = y - yi - 7i

in the case of the (Y), first we select the common multiple.

y - yi = y(1 - i)

if we replace it in the original expression, we get the following equation:

x + 7i = y(1 - i)

after that you can pass the value (1 - i) to the other side dividing,

Y = (x + 7i)/(1 - i)

6 0
3 years ago
Read 2 more answers
Mariana plans to visit an amusement park where she must pay for admission and purchase tickets to go on the rides. Mariana wants
Ivanshal [37]

Answer: The number 12 represents admission charge in Mariana's equation.

Step-by-step explanation:

As per given ,

Total cost = ( Charge per ticket) (Number of tickets) +  (Admission fees)  (i)

For x = Number of tickets, the total cost (c) for a day at the amusement park is given as

c = 1.50x + 12                                       (ii)

Here, 12 = Admission fees                 [Comparing (i) and (ii)]

Hence, the number 12 represents admission charge in Mariana's equation.

3 0
3 years ago
Rabies is an often-fatal disease typically transmitted through the bite of an infected animal. The state of Florida has been rec
slega [8]

Answer:

a) 3.6

b) 1.897

c)0.0273

d) 0.9727

Step-by-step explanation:

Rabies has a rare occurrence and we can assume that events are independent. So, X the count of rabies cases reported in a given week is a Poisson random variable with μ=3.6.

a)

The mean of a Poisson random variable X is μ.

mean=E(X)=μ=3.6.

b)

The  standard deviation of a Poisson random variable X is √μ.

standard deviation=S.D(X)=√μ=√3.6=1.897.

c)

The probability for Poisson random variable X can be calculated as

P(X=x)=(e^-μ)(μ^x)/x!

where x=0,1,2,3,...

So,

P(no case of rabies)=P(X=0)=e^-3.6(3.6^0)/0!

P(no case of rabies)=P(X=0)=0.0273.

d)

P(at least one case of rabies)=P(X≥1)=1-P(X<1)=1-P(X=0)

P(at least one case of rabies)=1-0.0273=0.9727

8 0
3 years ago
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