Lets write equation of a function:
y = kx + n
Direct variation in simple is equation of a line which has n=0 or in other words which y to x ratio is k.
First option gets 7=7 but it isnt direct variation because n is not equal to 0
third option is indeed correct. once we implement coordinates (2,7) we get 7=7
Answer is
y = 7/2x
Answer:
OPTION A
Step-by-step explanation:
To find the table substitute the points on the given function and compare the values.
The given function is:
.
OPTION A:
(i) When x = -2
LHS = y = 6.
RHS = (-2)² + 2 = 4 + 2 = 6.
LHS = RHS
(ii) When x = -1
LHS = y = 3
RHS = (-1)² + 2 = 1 + 2 = 3.
LHS = RHS
(iii) When x = 0
LHS = y = 2
RHS = 0² + 2 = 2.
LHS = RHS
(iv) When x = 1
LHS = y = 3
RHS = (1)² + 2 = 1 + 2 = 3.
LHS = RHS
(v) When x = 2
LHS = y = 6
RHS = (2)² + 2 = 4 + 2 = 6
LHS = RHS
OPTION B:
(i) When x = -2
LHS = y = -2
RHS = (-2)² + 2 = 6
LHS
RHS
OPTION B is eliminated.
OPTION C:
(i) When x = -2
Using the same reason as OPTION B this option is eliminated as well.
So, OPTION A is the correct answer.
Answer:
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Let the 1st part of your answer be x
, so the 2nd part will be 40-x
. From the given information, we can write the equation: (1/4)x = (3/8) × (40-x)
. We can simplify this into (1/4)x = (120-3x)/8
; 8x = 480-12x
; 8x+12x = 480
; 20x = 480
; x = 480/20; x = 24
Therefore, the 1st part = 24
Plug this into your 40-x equation to get: 40 - 24 = 16