F(x) = 4x + 7
g(x) = 3x²
(f · g)(x) = 3x²(4x + 7)
(f · g)(x) = 3x²(4x) + 3x²(7)
(f · g)(x) = 12x³ + 21x²
Remember you said the scale shows you 10% heavier.
So that's an increase of 10%
So value = 10% + 100% = 110%
So scale would show 110% of 82
110% of 82
= (110/100) * 82
= 1.1 * 82
= 90.2
OR
We can simply find 10% of 82 and add it to the original 82.
10% of 82
(10/100) * 82
0.1 * 82 = 8.2
8.2 + 82 = 90.2 Same answer as before.
So scale shows 90.2 kg.
Answer:
Variation equation: y = k/√x
constant of variation: 200
Variation Equation by plugging the value of k: y = 200/√x
Step-by-step explanation:
If y varies inversely with the SQUARE ROOT of x, then;
y = k/√x
If x = 4, y = 100.
100 = k/√4
100 = k/2
200 = k
k = 200
Substitute into the expression
y = k/√x
y = 200/√x
Answer:
Following are the complete solution in the attached file.
Step-by-step explanation:
The single shift worked by Reem is 16 hours long.
Total earned = $320
First 8 hours (earning per hour) = $16
Additional hours = $24 per hour
Let the total number of hours worked = m
The Number of hours after 8 hours = m - 8
Representing the scenario with an equation :
(16 × 8) + (24 × (m - 8)) = 320
128 + 24m - 192 = 320
-64 + 24m = 320
24m = 320 + 64
24m = 384
Divide through by 24
m = 384 / 24
m = 16
Hence, the shift is 16 hours long.
Learn more : brainly.com/question/18109354
