Answer:
A: Exponential
B: Quadratic
C: Linear
Step-by-step explanation:
Let analyse each table
X Y ΔY/ΔX
1 5 xxxxxx
2 11 11 - 5 = 6
3 29 29 - 11 = 18
4 83 83 - 29 = 54
.....................
We can see that, [ ΔY/ΔX ] increases at the fastest rate out of all functions, so it must be exponential function
X Y ΔY/ΔX Δ^2Y/ΔX^2
0 5 xxxxxx xxx
1 7 7 - 5 = 2 xxx
2 13 13 - 7 = 6 6-2 = 4
3 23 23 - 13 = 10 10-6 = 4
..............................
It is a quadratic because Δ^2Y/ΔX^2 = 4 and are constant for all values
X Y ΔY/ΔX
3 20 xxxxxx
6 18 2 / 3
9 16 2 / 3
15 12 2 / 3
..............
It is a linear because ΔY/ΔX = 2/3 are constant for all values
Simplifying
x + 6 = 3x + -14
Reorder the terms:
6 + x = 3x + -14
Reorder the terms:
6 + x = -14 + 3x
Solving
6 + x = -14 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
6 + x + -3x = -14 + 3x + -3x
Combine like terms: x + -3x = -2x
6 + -2x = -14 + 3x + -3x
Combine like terms: 3x + -3x = 0
6 + -2x = -14 + 0
6 + -2x = -14
Add '-6' to each side of the equation.
6 + -6 + -2x = -14 + -6
Combine like terms: 6 + -6 = 0
0 + -2x = -14 + -6
-2x = -14 + -6
Combine like terms: -14 + -6 = -20
-2x = -20
Divide each side by '-2'.
x = 10
Simplifying
x = 10
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Answer:
12
Step-by-step explanation:
These are similar triangles, so the ratio of their sides is the same for each side.
AB = 8 and BD = 10
So, the ratio is 8:10 or 4:5
Because the triangles are similar....
The ratio of AC:CE is also 4:5
12:15 = 4:5
So, 12 is the answer!
twice the number is multiplying
so it would be 2c then add 4 more
so 2c+4 is the correct equation.
Answer is B
