Answer:
$67.83
Step-by-step explanation:
Price before tax: $85
Discount: 25%
100% - 25% = 75% = 0.75
Price after discount: 0.75 * $85 = $63.75
Tax: 6.4%
100% + 6.4% = 106.4% = 1.064
Price after discount & tax: 1.064 * $63.75 = $67.83
Answer: $67.83
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
A triangle is equal to 180 degrees
3y+141=180
3y+141-141=180-141
3y=39
Y=13
68+3(13)=107
180-107=73
X=73
Answer:
A. y = 3x; 30 feet
Step-by-step explanation:
The person travels 75 feet in 25 seconds, meaning that he will travel 3 feet per second.
75/25 = 3
This means that the equation will be y = 3x. To find the the feet traveled after 10 seconds, plug 10 into the given equation and solve for y.
y = 3x
y = 3(10)
y = 30
The person will travel 30 feet.
