(-5+25k-8k-20)-5+25k-8k-20
(17k-25)-17k-25
For this case we have the following polynomial:
The first thing to do is to place the variables on the same side of the equation.
We have then:
We complete the square by adding the term (b / 2) ^ 2 on both sides of the equation.
We have then:
Rewriting we have:
Therefore, the solutions are:
Answer:
the solution set of the equation is:
Option B is the correct answer
Step-by-step explanation:
Step 1 :
Given,
Maximum budget Sandra has for the trip is $90
Fixed rental fee = $30
Daily fee = $10
Step 2 :
Let x be the number of the days for which Sandra can go for the trip
If the daily fee is $10, the cost for x number of days would be 10*x
the fixed fee is $30
So the equation is represent the cost of the trip is 30 + 10 x
given that the maximum budget is $90, the above cost should always be less $90
So the required inequality is 30 + 10x ≤ 90
Option B is the correct answer
Answer:
The probability of getting someone who is age 18-22 or does not smoke is 0.854 ....
Step-by-step explanation:
Through the given statements we have to find the probability of getting someone who is age 18-22 or does not smoke.
Age 18-22 has 177 people. 48 of whom smoke.
People who does not smoke =(177-48) + (146-31) +(81-28)
People who does not smoke=129+115+53 = 297
People with age (18-22) who does not smoke = 129
P(18-22 or does not smoke) = (177+297-129)/(177+146+81)
P(18-22 or does not smoke) = 345/404
P(18-22 or does not smoke) = 0.854
Thus the probability of getting someone who is age 18-22 or does not smoke is 0.854 ....
Answer:
The point that can be used to create a right triangle that has AB as it’s hypotenuse is (3,3)
Step-by-step explanation:
From the attached diagram, the point to create a right triangle will be traced to the and y axis.
Let the point be represented with C(x,y)
At point A, tracing the line to x axis gives 3 x = 3
At point B, tracing the line to y axis gives also 3. y = 3
C(x,y) = C(3,3)
Hence, the point that can be used to create a right triangle that has AB as it’s hypotenuse is (3,3)
