Answer:
option d.
Step-by-step explanation:
We have the following set of data:
x 0 1 2 3 4
f (x) 18 14 10 6 2
Let's assume the function is linear, then, the equation of the line would ne:
(y - y0) = m(x-x0)
where m= (y1-y0) / (x1-x0)
And (x1, y1) = (1, 14)
(x0, y0) = (0, 18)
You can choose any of the points given in the set of data.
Then,
m = (14-18)/(1-0) = -4.
Then the equation of the line is:
(y - 18) = -4x
y = -4x + 18.
If the function is linear, then all the points given in the set of data will satisfy the function. Let's try:
(2, 10):
10 = -4(2) + 18.
10 = 10
SATISFIES THE EQUATION
(3, 6):
6 = -4(3) + 18.
6 = 6
SATISFIES THE EQUATION
(4, 2)
2 = -4(4) + 18.
6 = 6
SATISFIES THE EQUATION
So, the function is linear. And the correct option is option d.
-5 + 4 = -1
start at -5 on ur number line....and since u r adding 4, move 4 spaces to the right and u should arrive at -1
Answer:
78
Step-by-step explanation:
Since 13 is a prime, the least common multiple of it and 6 is their product. 6*13=78. Hope this helps!
Answer: x=5
Step-by-step explanation:
Step 1: Convert the denominators to the same number.
1/9 = 2/18
2/3 = 12/18
5/18
Step 2: Add the numerators.
12 + 2 + 5 = 19
Step 3: Convert to mixed number.
19/18 = 1 1/18
Hope this helps! :)