Step-by-step explanation:
a,b) you can place all 17 in the middle and both circle will have 17 each. then remove 2 and place one each on separate sides. you can do this 8 times so that at the you'll end up with 1 in the middle and 8 each on separate sides.
the ways to do is then 9.
Answer:
4x^2 - 4x - 3
Step-by-step explanation:
f(x) = 2x - 1
g(x) = x^2 - 4
g(f(x)) = ?
[substitute the x of g(x) with f(x)]
g(x) = x^2 - 4
g(f(x)) = (2x - 1)^2 - 4
[solve]
[binomial * binomial = quadratic equation]
[use FOIL method (first, outer, inner, last)]
g(f(x)) = (2x - 1)(2x - 1) - 4
g(f(x)) = (2x*2x) + (-2x) + (-2x) + (1) - 4
[combine like terms]
g(f(x)) = 4x^2 - 2x - 2x + 1 - 4
g(f(x)) = 4x^2 - 4x - 3
Answer:
1. -7/8
2.-9/14
3. 9/14
4. 7/8
2. what is the product of -2/7 and -3/7?
1. -7/8
2.-6/49
3. 6/49
4. 7/8
How do the expressions 72÷ 9 and -72÷ (-9) compare when they are evaluated?
1. They have different values and are different signs.
2. They have different values but are the same sign.
3. They have the same value but are different signs.
4. They have the same value and the same sign.
Step-by-step explanation:
Multiplying fractions: multiply numerators and multiply denominators
1. 3/4 X -6/7 = -18/28 = -9/14
2. -2/7 X -3/7 = 6/49
3. 4 because 72/9 is 8. -72/-9 is 8. Two negatives makes a positive when multiplying and dividing.
Answer:
See below.
Step-by-step explanation:
a.
x = cost of adult ticket
y = cost of student ticket
cost of adult ticket is twice the cost of a student ticket
x = 2y
number of adult tickets = 64
number of student tickets = 132
cost of all adult tickets = 64x
cost of all student tickets = 132y
cost of all adult and student tickets combined: 64x + 132y
cost of all adult and student tickets combined: 1040
This gives us the equation:
64x + 132y = 1040
b.
Use substitution to solve the system of equations. Since x = 2y, where you see x in the second equation, substitute it with 2y.
64(2y) + 132y = 1040
128y + 132y = 1040
260y = 1040
y = 1040/260
y = 4
x = 2y = 2(4) = 8
adult ticket: $8
student ticket: $4
