Answer: function 1
Rate of change of function 1:
Following the format of y=mx+c, the rate of change should be m, so, the rate of change for function 1 = 4
To find the gradient (rate of change):
The two points the line passes through are (x1, y1) and (x2, y2), which in this case is (1, 6) and (3, 10)
(Doesn't matter which is which but you need to make sure that once you decide which is which, you stick to it)
To calculate the gradient, you substitute these values following (y1 - y2)/(x1 - x2)
Gradient of function 2 = (10 - 6)/(3 - 1)
= 2
Therefore, since 4 > 2, rate of change of function 1 > rate of change of function 2.
Answer: The length of pencil is 16 centimetres and length of crayons is 8 centimetres
Step-by-step explanation:
Let the length of crayon =
Length of a pencil =
As according to question that the sum of their length is 24 centimetres
So we have
Therefore the length of crayon = 8 centimetres
Length of pencil= 
centimetres
Hence, the length of pencil is 16 centimetres and length of crayons is 8 centimetres
Answer: 0.12
Step-by-step explanation:
The expected number of accidents is a weighted average of the potential number of accidents and their probabilities:
= (0 * 0.935) + (1 * 0.03) + (2 * 0.02) + (3 * 0.01) + (4 * 0.005)
= 0.12
Answer:
Step-by-step explanation:
SOLVE FOR X
x∈R
SOLVE FOR Y
y∈R
Supposing 2x-7 were a factor, then 7/2 would be a root. Use synth. div. to determine whether 7/2 actually is a root:
__________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------------------------------------
6 0 -4 10 0
Since the remainder is zero, 7/2 is a root and 2x - 7 is a factor.
You could check out the other possible factors in the same manner.
