$12.6 -- 25% of 12.6 is exactly $3.15
I did this by taking 3.15 / 0.25
The answer would be
Fraction 3/10
Percent 30%
Decimal 0.3
There is 10 parts and it ask for probability of 3 numbers which would be 3/10
The function is updated by calculating the composite function h(f(c)), where f = 1.8c + 32
<h3>How to update the function?</h3>
The function is given as h(c)
Where
- c represents the temperature in Celsius
- h(c) represents the number of heat-stroke deaths per thousand people
When a temperature in Celsius is converted to Fahrenheit, the conversion equation is:
F = 1.8C + 32
This means that we update the function by calculating the composite function h(f(c)), where f = 1.8c + 32
<h3>How the graph would be transformed?</h3>
In (a), we have:
h(f(c)) and f = 1.8c + 32
Substitute f = 1.8c + 32 in h(f(c))
h(1.8c + 32)
The above means that:
- The graph would be vertically stretched by a factor of 1.8
- Then the graph would be shifted up by 32 units
Read more about function transformation at:
brainly.com/question/1548871
#SPJ1
Yes, as one half or 1/2 is also 10/20. 11/20 is greater than half by a 10% margin.
Answer:
(i) (f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2
Step-by-step explanation:
The given functions are;
f(x) = x² + 3·x + 2
g(x) = x + 1
(i) (f - g)(x) = f(x) - g(x)
∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1
(f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = f(x) + g(x)
∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3
(f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = f(x) × g(x)
∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2
(f·g)(x) = x³ + 4·x² + 5·x + 2
