Answer:
Step-by-step explanation:
3). Definition of midpoint
4). Midpoint theorem ( ≅ parts are = )
7). Division Property of Equality.
8). QR = 5 + <em>2</em> = 7 Substitution x by equal value
9). PQ = 4(<em>2</em>) - 1 = 7 Substitution x by equal value
10). Segment addition postulate
11). Substitution
Example 1
Write y = x2 + 4x + 1 using function notation and evaluate the function at x = 3.
Solution
Given, y = x2 + 4x + 1
By applying function notation, we get
f(x) = x2 + 4x + 1
Evaluation:
Substitute x with 3
f (3) = 32 + 4 × 3 + 1 = 9 + 12 + 1 = 22
Example 2
Evaluate the function f(x) = 3(2x+1) when x = 4.
Solution
Plug x = 4 in the function f(x).
f (4) = 3[2(4) + 1]
f (4) = 3[8 + 1]
f (4) = 3 x 9
f (4) = 27
Example 3
Write the function y = 2x2 + 4x – 3 in function notation and find f (2a + 3).
Solution
y = 2x2 + 4x – 3 ⟹ f (x) = 2x2 + 4x – 3
Substitute x with (2a + 3).
f (2a + 3) = 2(2a + 3)2 + 4(2a + 3) – 3
= 2(4a2 + 12a + 9) + 8a + 12 – 3
= 8a2 + 24a + 18 + 8a + 12 – 3
= 8a2 + 32a + 27
Answer:n ÷ 7 = 6n
Step-by-step explanation:
let English marks =E
Maths marks = M
Science marks =S
E+M=175 ................(1)
E+S=164...................(2)
E=M+11.......................(3)
PLUGGING VALUE OF "E" IN EQUATION (2) FROM (3)
M+11 +S=164
S=153-M............(4)
PLUGGING VALUE OF "E" IN EQUATION (1) FROM (3)
M+11+M=175
2M=164
M=82
PLUGGING THIS VALUE OF 'M' IN EQUATION (4)
S=153-82
S=71
SCORE OF SCIENCE IS 71
