Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.
Answer:
369
Step-by-step explanation:
g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).
and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).
f(6) = 8×6 + 5 = 48 + 5 = 53
and now
g(53) = 7×53 - 2 = 371 - 2 = 369
to check we do the general functional substitution :
g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33
g(f(6)) = 56×6 + 33 = 336 + 33 = 369
correct
Answer:
105,413,504
Step-by-step explanation:
14x14x14= 2,744
14x14x14x14= 38,416
2,744x38,416= 105,413,504
Answer:
depending on what your using these are the answers to what I got:
Addition: 2 1/2
Multiplication: 135/256
Division: 2 2/5
Step-by-step explanation:
1 1/8 + 3/4 + 5/8 = 5
/2 = 2 1/2 = 2.5
or
1 1/8 x 3/4 x 5/8 = 135/256 = 0.527
or
1 1/8 ÷ 3/4 ÷ 5/8 = 12/5 = 2 2/5 = 2.4
