Answer:
k = 2
Step-by-step explanation:
-8k + 6 = -10k + 10
-8k = -10k +4
2k = +4
2k / 2 = 4 / 2
k = 2
1. (7 , 0) and (11 , 3) → B and D
substitute each coordinate point into the left side of the equation and if equal to 21 then it is a solution.
( 7 , 0) → (3 × 7) - ( 4× 0) = 21 - 0 = 21
(11 , 3) → (3 × 11 ) - ( 4 × 3) = 33 - 12 = 21
2. ( 2 , - 9 ) is a solution to the equation
substitute the coordinates into the equation and if equal to 13 the it is the solution.
(2 , - 9 ) → (5 × 2 ) - (-9)/3 = 10 + 9/3 = 10 + 3 = 13
(3 , - 6) → (5 × 3) - (- 6)/3 = 15 + 6/3 = 15 + 2 = 17
thus (2 , -9 ) is the solution
4. x- intercept = (- 45 , 0)
to find the x- intercept let y = 0
1/3 x + 0 = - 15
1/3x = - 15
multiply both sides by 3
x = 3 × - 15 = - 45
thus x -intercept = ( - 45 , 0)
Answer:
a) yes
b) 2560
Step-by-step explanation:
An exponential function has a common ratio between points uniformly spaced. Here, the data points are 10 years apart.
The ratio of the first two values is 4000/5000 = 0.8.
The ratio of the next two values is 3200/4000 = 0.8.
These ratios are the same, so the data is consistent with an exponential function.
The common ratio can be used to predict the next value. The next value is predicted to be ...
3200 × 0.8 = 2560
Answer:
-2
Step-by-step explanation:
Subtracting a negative number is adding the positive number of that
-3 + 1 += -2
