Answer:
16
Step-by-step explanation:
4 coins 2 out comes each
2 X 2 X 2 X 2 = 16
2^4 = 16
Hope i helped you
Answer: -2x - 4
Step-by-step explanation: This is because it has a variable in it, making it an algebraic expression.
Answer:
Step-by-step explanation:
Answer:
<em>Henson: 3x + y = 163</em>
<em>Garcia: 2x + 3y = 174</em>
<em>adult ticket price: $45</em>
<em>child ticket price: $28</em>
Step-by-step explanation:
Henson Family:
3 adults + 1 child; total $163
3x + y = 163
Garcia Family:
2 adults + 3 children; total $174
2x + 3y = 174
Now we solve the system of equations.
Solve the first equation (Henson Family) for y.
y = 163 - 3x
Substitute 163 - 3x for y in the second equation (Garcia Family).
2x + 3<em>y</em> = 174
2x + 3(<em>163 - 3x</em>) = 174
2x + 489 - 9x = 174
-7x + 489 = 174
-7x = -315
x = 45
Now substitute 45 for x in the first original equation and solve for y.
3x + y = 163
3(45) + y = 163
135 + y = 163
y = 28
adult ticket price: $45
child ticket price: $28
Answer:
y = -2x/3 + 2
Step-by-step explanation:
A(0,1), B(2,4)
slope of AB = (yb-ya)/(xb-xa) = (4-1)/(2-0) = 3/2
Slope of perpendicular to AB
m = -1/(3/2) = -2/3
Point to lie on perpendicular, P(0,2)
Equation of perpendicular, point-slope form
(y-yp) = m(x-xp)
y-2 = -(2/3)(x-0)
y = -2x/3 + 2
