The function can be described as

b(p)= player receives 10 bonus points
b(p)= p+10

s(p)= increases 5% of the player’s current points
s(p)= p*(100%+5%)= p*1.05

then (s ∘ b)(p) would be
s(p)= p*1.05
(s ∘ b)(p)= (p+10)*1.05
(s ∘ b)(p)= 1.05p+10.5

4 0

3 years ago

Solve the quadratic equation below x2-64=0

Montano1993 [528]

Answer:

x=32

Step-by-step explanation:

first, you add 64 to both sides and you have: x2=64

second, you divide 2 on both sides to get x by itself, so 64 divided by 2 is 32

4 0

2 years ago

Read 2 more answers

A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures

Alekssandra [29.7K]

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

$\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9$

$\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9 \\ \because \: AB = x \\ \huge \red{ \therefore AB = 9} \\ \\ \because \:BC = x + 6 \\ \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}$