Answer:
a) one solution(x = 9)
b) no solution
c) infinite solutions
Step-by-step explanation:
a) To solve this equation, we can add 4 on both sides in order to isolate x:
x - 4 =5
+ 4 + 4
x = 9
Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.
b) We start by subtracting 2x from both sides to combine the variable terms:
2x - 6 = 2x + 5
-2x -2x
-6 = 5
The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.
c) We can start by subtracting 3x from both sides to combine the terms with x:
3x + 12 = 3x + 12
-3x -3x
12 = 12
The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.
Answer:
c. g(x) = 4x^2
Step-by-step explanation:
From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.
We can then look and see that g(1) = 4 as shown by the point given to us on the graph.
To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e
Option C:
once we plug in 1 for x, our equation looks like
4(1)^2.
1^2 = 1, and 4(1) = 4,
so g(1) = 4. and our point is (1,4).
This is the same as the graph so this is the CORRECT answer.
If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.
Option D:
once we plug in 1 for x, our equation looks like
16(1)^2
1^2 = 1, and 16(1) = 16,
so g(1) = 16. and our point is (1,16).
This is different than the graph so this is the WRONG answer.
Answer:
8
Step-by-step explanation:
We can withdraw a equation to give mexico population
P = M.(1 + i)^t
So,
First of all, how many years passed? 2015 - 2000 = 15. Our time is 15, our annual rate is 1,7%, time to calc.
P = 100350000.(1 + 1,7%)^15
1,7% = 0,017
P = 100350000.(1 + 0,017)^15
P = 100350000.(1,017)^15
P = 100350000.1,2876988084901218382866596204289
P = 129220575,43198372647206629291004
Rounding
P = 129,220,575
Add the numbers 7 + 10
17 - 7j = -10 - 4j
subtract 17 from both sides
-7j = -27 - 4j
add 4j to both sides
-3j = -27
divide both sides by -3
j = 9
