Step-by-step explanation:
g(x) = 3x - 2
g(-4) = 3(-4) - 2
= -12 -2
= -14
If you do the long division you'll see that it is x - 2.
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Answer with explanation:</h2><h2 />
The confidence interval for population mean is given by :-
Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.
Sample mean : 
Standard deviation: 
Significance level : 
By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-
Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-
Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas = (0.068, 3.732)
The expression for 7(2+9) IS A(B+C) which is distributive property of addition over multiplication.
Only two arithmetic procedures are subject to the commutative property: Multiplication and Addition
A + B = B + A Which is Commutative property of addition
A.B = B.A, which is a commutative property of multiplication.
Distributive property is A(B+C) =AB+AC
The operation on numbers that are available in brackets can be distributed for each number outside the bracket, according to the distributive property. It is one of the mathematical properties that is used the most. Commutative and associative qualities are the other two important features.
from the given data 7(2+9) =7*2+7*9
=14+63
=77
Now, we can clear that 7(2+9) =7(9+2)
Hence, the expression for commutative property of addition is A(B+C) = AB+AC.
To learn more about commutative property, visit
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Answer:
The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters
Step-by-step explanation:
The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows
Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5
We have the four digit numbers from 1000 to 9999
Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940
Which gives 142 - 15 = 127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0
Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.
