Answer:
0.67 = x
Step-by-step explanation:
to solve the value of x we need to : (x,9)
y = 3x + 7
9 = 3x + 7
9 - 7 = 3x
2 = 3x
2/3 = x
0.67 = x
We start with 3: it stays unchanged
3.
then the first decimal place also remains unchanged:
3.6
now the second decimal place:
3.61
does it remain unchanged? No! the number AFTER is is 5 or bigger (it's 7), so we need to round it up. the answer is this:
3.62
Y = a (x + 3)² - 1
Let's take the point (-1;3)
3 = a ( -1 + 3)² - 1
3 = 4a - 1
4a = 4
Therefore a = 4/4 = 1
(x+3)² - 1
= x² + 6x + 9 - 1
= x² + 6x + 8
The answer would be y = x² + 6x + 8.
Hope this helps !
Photon
Answer:
Below in bold.
Step-by-step explanation:
Because the 2 sides marked with the double lines are equal:
5y-1 = 2y+11
3y = 12
y = 4.
Also :
3x-5 + 2(2x+5) = 180
3x - 5 + 4x + 10 = 180
7x = 180 + 5 -10
7x = 175
x = 175/7 = 25.
Answer:
A] The slope of f(x) is greater than the slope of g(x).
Step-by-step explanation:
First, you need to calculate the slope of f(x) and g(x) using the slope formula
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are points of the functions.
To calculate the slope of f(x) you can choose two points from the graph, in this case (0, -1) and (3, 1). Remember you can choose the points you want as long they are on the graph.
m = 1 - (-1) / 3 - 0
m = 1 + 1 / 3
m = 2 / 3
m = 0.66...
To calculate the slope of g(x) you can choose two points from the table, in this case (0, 2) and (5, 4).
m = 4 - 2 / 5 - 0
m = 2 / 5
m = 0.4
So the slope of f(x) is greater than the slope of g(x).
