Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
Answer:
245 miles driven.
Step-by-step explanation:
A car rental company charges $10 a day and 17 cents per mile to rent their cars. 17 cents = 0.17 dollars
Let x be the number of miles and y be the number of days
total change =0.17x + 10y
Given total change is 61.65 and number of days = 2
plug in the values and find out the number of miles
61.65 = 0.17 x + 2(10)
61.65 = 0.17 x + 20
subtract 20 on both sides
41.65 = 0.17x
Divide by 0.17 on both sides
x = 245
245 miles driven.
Answer:
Step-by-step explanation:
From law of indices
When we draw a circle with the centre at D and have a tangent HF to the circle D at point E, the angle DEF will be a right angle.
In other words angle DEF = 90 degrees
Since HF, the tangent, is a straight line, the other angle DEH should also be = 90 degrees because the straight line has an angle of 180 degrees
Therefore angle DEF = angle DEH = 90 degrees
Therefore, angle DEF is congruent to angle DEH (Option A)
