Answer:
no solution
Step-by-step explanation:
2w + 7 = 2(w + 5) - 8
Distribute
2w+7 = 2w+10-8
Combine like terms
2w+7 = 2w+2
Subtract 2w from each side
7 = 2
This is never true so there is no solution
Answer:
false statement
Step-by-step explanation:
5+x^2=2x^2+13
5+x^2-2x-13=0
-8+x^2-2x^2=0
-8-x^2=0
-x^2=8
x^2=-8
this statement is false for any value of x because the power function with an even exponent is always postive or 0
We are told that a population of insects grows exponentially and we are given a table of data about insect population growth. We are asked to find population of insects at the end of week 11.
The initial insect population is 20 and at the end of 1st week population increases to 30.
Let us find growth percentage of insect population,
We can see that insect population is growing at rate of 50% per week.
Now let us write an exponential function for our population.
, where P(w) represents population at the end of w weeks.
Let us substitute w=11 in our function to find insect population at the end of 11 weeks.
Therefore, population of insects at the end of 11th week will be 1730.
Answer:
0.82
Step-by-step explanation:
The question says that three percent (3 out of 100) of the rackets (racquets) produced by the company are found to be defective.
First thing to calculate is the probability that 1 in a box of 6 rackets are defective.
That probability is gotten by cross multiplying, as illustrated below;
3 - 100
x - 6
x = (6×3)/100 = 18/100 = 0.18
Since the probability of having/finding 1 defective racket in a box of 6 is 0.18, the probability of finding more than 1 (minimum of 2 and maximum of all six) defective rackets in same box would be (1 - 0.18) = 0.82
