Answer:
h(x)=x²+6 and g(x)=8x-5
prove that hg(x)=19
Step-by-step explanation:
step 1: hog(x)=h[g(x)]
step 2: h(8x-5)
step 3: h(8x-5)= (8x-5)²+6
step 4: (8x-5)(8x-5)+6
step 5: 16x² +15x +6
The answer to Part A is 2 15/32
Answer:
Step 3
Step-by-step explanation:
Given

Required:
Determine the first step where she made mistake
Her Step 1:
--- This is correct because she solved the bracket first
Her Step 2:
--- This is correct because she solved 3^2 as 9
Her Step 3:
--- This is incorrect because 23 * 4 is not equivalent to 9 * 4
Hence, her first mistake is in step 3.
The correct expression would have been

Then

Doug is 5 years old.
5 + 3 = 8
5 × 8 = 40
The probability from 1.5 ≤ x ≤ 3 can be calculated by dividing the Area from x=1.5 to x=3 by the total Area of the distribution.
The given distribution is rectangular shaped, so its Area will be = Length x Width = 1 x 3 = 3 square units
From x = 1.5 to x = 3, the length is 1.5 and width is 1. So the area between these two intervals = 1.5 square units.
Thus, <span>P(1.5 ≤ X ≤ 3) = 1.5/3 = 0.5
</span>