Step-by-step explanation:
So in the equation given, y = 2x - 3
you substitute x for whats given in the table in the x column.
Example
In the graph the first number under the x colum is -1.
y = 2x - 3 in the equation you take out x and put -1.
So now the equation becomes y = 2 × -1 - 3.
Using bedmas to solve the question you should get -5
Which now means y = -5
To plot the point now x would be -1 and y would be -5 (-1, -5)
Same thing for the second number in the x Column.
y = 2 × 1 - 3 which equals -1
To plot it
x = 1 y = -1. (1, -1)
And for the last number 3.
Agai. You substitute x for 3 which makes the equation y = 2 × 3 - 3
this gives you 3 and to plot it
x would be 3 and y would be 3
Answer:
63 pages
Step-by-step explanation:
I AM NOT SURE THIS IS CORRECT. I WILL EXPLAIN MY REASONING THOUGH.
Take 210 (pages) and multiply that by 30% or 0.3 that will give you 63. This means that 30% of the book is 63 pages
Answer: g(f(x)) = g(x²-7)=x
Step-by-step explanation:
Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
