y=7x-5 This is the same as saying y-7x = -5 Well easy. You just make up numbers that make this work. Let x be 1 y-7=-5 y=-5+7 y=2 So one ordered pair is (1,2) Let x=2 y-14=-5 y=9 So another ordered pair is (2,9) Let x=3 y-21=-5 y=-5+21 y=16 So another ordered pair is (3,16)
hope it helps
If b is in the first position then c can be in any 1 of the remaining 6 positions.
If we start with ab then the letter c can be in any one of 5 positions and if we have aab there are 4 possible positions for c and so on.
So the total number of possible sequences where b comes first = 6+5+4+3+2+1 = 21.
The same argument applies when c comes before b so that gives us 21 ways also.
So the answer is 2 *21 = 42 different sequences.
A more direct way of doing this is to use factorials:-
answer = 7! / 5! = 7 * 6 = 42.
( We divide by 5! because of the 5 a's.)
Answer:

Solution:
According to the Pythagorean Theorem, is that the square of the hypotenuse is equal to the sums of squares of the two legs in which if you take the square root of the sum you are going to get the actual length of the hypotenuse but the two legs are already squared so all you have to do now is sum them and take the square root of it.

Answer:
The appropriate hypotheses for performing a significance test is:


Step-by-step explanation:
Last year, the mean score on the state’s math test was 51. The administrators have trained the teachers in a new method of teaching math hoping to raise the scores on this standardized test this year.
At the null hypothesis, we test if the mean score this year is the same as last year, that is:

At the alternate hypothesis, we test if the mean score improved this year from last, that is:

The appropriate hypotheses for performing a significance test is:


Answer: y-4=0
Step-by-step explanation: