Answer: (a) x = -1
Step-by-step explanation:
<u>Given</u>
x - 8 = - 9
<u>Add 8 on both sides to isolate x</u>
x - 8 + 8 = - 9 + 8

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Answer:
{-11,8,13}
Step-by-step explanation:
The domain is the input values (or x)
The range is the output values (or y)
The range is (-11,8,13)

Equation of line passing through given points :
Let's proceed with two point form ~

Assume :




So, the equation of required line is : y = 3 ~
Answer:
a) rCn = 1176
b) 2352
Step-by-step explanation:
a)Each committee should be formed with 3 members ( no two members could be of the same state) then
Let´s fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then
rCn = n! / (n - r )! *r!
rCn = 49!/ (49 - 2)!*2!
rCn = 49*48*47! / 47!*2!
rCn = 49*48 /2
rCn = 1176
So we can choose in 1176 different ways a senator for a given state
b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.
1176*2 = 2352
Mark and Don have 18 and 92 marbles respectively.
<h3>What is the solution of the equation?</h3>
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
Let the number of marbles Mark has be x.
According to the question,
Don has (5x+2) marbles.
Total number of marbles=110
Thus, the required equation is:
x+5x+2=110
6x=108
x=108/6
x=18
Mark has 18 marbles.
Don has (5*18+2)=92 marbles.
Learn more about equation here:
brainly.com/question/2972832
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