Answer:
(g o f) (x) = 2x + 16
Step-by-step explanation:
" (g o f) (x) )" is called "the composition of f and g."
Evaluating this involves substituting the function f(x) = 2x + 1 for x in g(x) = x+14:
(g o f) (x) = 2(x+1) + 14, or
(g o f) (x) = 2x + 2 + 14, or
(g o f) (x) = 2x + 16
Sample space = {s1, s2, s3, s4, m1, m2, m3, m4, l1, l2, l3, l4, s1234, s123, s124, s12, s13, s14, s23, s24, s34, m1234, m123, m12, m13, m14, m23, m24, m34, l1234, l123, l12, l13, l14, l23, l24, l34}
total with one topping = 12
s - small
m - medium
l - large
1 - pepperoni
2 - sausage
3 - green pepper
4 - mushroom
Answer:
<em>(IQR) interquartile range: 12 - 9 = 3</em>
Step-by-step explanation:
Median: 10
Lower quartile: 9
Upper quartile: 12
Interquartile Range: 12 - 9 = 3
Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250.
According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)
=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.
Step-by-step explanation:
Pete has already completed 27 missions. Pete plans to complete 3 missions per week
Let x represents weeks
Games completed = 3x + 27
Sophie has only completed 13 missions. Sophie plans to complete 5 missions per week.
Games completed = 5x + 13
3x + 27 = 5x + 13
27 - 13 = 5x - 3x
2x = 14
x = 7
By the seventh week, they would have completed equal number of games,
