Answer:
(g ° f)(0) is 4096
Step-by-step explanation:
Here we have a question on composite functions;
Where we have two functions, g(x) and f(x) the composite function or composition function which is the composition of g with f is defined as follows;
To get (g ° f)(x) we substitute f(x) in g(x) as follows;
f(x) = 7·x + 8 and g(x) = x⁴
Therefore, (g ° f)(x) = = (7·x + 8)⁴
From which we have (g ° f)(0) = (7·0 + 8)⁴ = 8⁴
Therefore, (g ° f)(0) = 4096.
x = 4 and x = - 9
In both cases the angles inside the parallel lines are same sided interior angles
24x - 1 + 20x + 5 = 180
44x + 4 = 180 (subtract 4 from both sides )
44x = 176 ( divide both sides by 44 )
x = = 4
Similarly
x + 109 + x + 89 = 180
2x + 198 = 180 ( subtract 198 from both sides )
2x = - 18
x = = - 9
Answer:
35 [$]
Step-by-step explanation:
1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;
2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;
3) using the two above it is possible to make up the system of two equations:
4) finally, the have together 10+25=35 doll-s.