Answer:
f(g(x)) = 12x + 1
Step-by-step explanation:
Step 1: Define functions
f(x) = 3x - 2
g(x) = 4x + 1
Step 2: Find f(g(x))
f(g(x)) = 3(4x + 1) - 2
f(g(x)) = 12x + 3 - 2
f(g(x)) = 12x + 1
Answer:
The 25% discount on AED 4000 will be: 1000 AED
Step-by-step explanation:
Given
In order to determine a 25% discount on the amount AED 4000, all we need means is to multiply 25/100 or (0.25) by 4000.
i.e
Discount amount = 25% of 4000
= 25/100 × 4000
= 0.25 × 4000
= 1000 AED
Thus, the 25% discount on AED 4000 will be: 1000 AED
Answer:
1) Yes, it is a right angle triangle
2)Yes, it is a right angle triangle
3) No, they are not similar.
Step-by-step explanation:
Dimension of triangle A = 48, 55 & 73
Dimension of triangle B = 36, 77 & 85
For any of the triangles to be a right angled one, then;
c = √(a² + b²)
Where a,b & c are side dimensions of a triangle.
Thus;
Triangle A: c = √(48² + 55²)
c = √5329
c = 73
This tallies with what we are given and so it is a right angled triangle.
Triangle B: c = √(36² + 77²)
c = √(7225)
c = 85
Similar to the third side dimension of 85, thus it is true.
For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.
Thus, we have;
48/36 = 1.5
55/77 = 5/7
73/85 = 73/85
Since the ratios are not similar, then we can say that the triangles are not similar.
Answer:
x = 
Step-by-step explanation:
Given
+ 
= 
( express the sum on the left as a single fraction )
= ( cross- multiply )
x(b + a) = ab ← divide both sides by (b + a)
x =
Answer:
0.24186
Step-by-step explanation:
40 x (3/5) = 24
24 x (3/5) = 72/5 or 14.4
Keep multiplying 3/5 or 0.6
= 0.24186
