Based on the graph of the function,f(x)
1 answer:
(A ) This is a straight line graph.
The equation of a straight line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 1 ) and (x₂, y₂ ) = (-2, - 3 ) ← 2 points on the line
m = =
= 2
The y-intercept = (0, 1 ) ⇒ c = 1
f(x) = 2x + 1 ← function rule
(B)
To evaluate f(2), substitute x = 2 into the rule
f(2) = (2 × 2 ) + 1 = 4 + 1 = 5
As a check (2, 5 ) is a point on the graph
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Answer:
The answer of the given expression is .
Step-by-step explanation:
Given .
Step 1 : Firstly we have to solve for brackets, adding the fraction with digits. For this we have to multiply 3 and 2 by 2 by 2 which gives the same denominator.
Step 2 : Fraction under the brackets is solved now we have to multiply the result with 3 to remove the brackets.
Step 3 : Now we have an expression with same denominator, here simply add and we get the result.
Hence the solution for given expression is .