Answer:
Part 1: 10, Part 2: 6
Step-by-step explanation:
Answer:
The values of x are
Step-by-step explanation:
we have
Solve for x
Adds 42 both sides
Divide by 6 both sides
simplify
square root both sides
therefore
The values of x are
Answer:
d + n = 147
0.10d + 0.05n = 11.65
d = 86, n = 61
Step-by-step explanation:
Let
Number of dimes = d
Number of nickels = n
Total coins = 147
Total value = $11.65
d + n = 147 (1)
0.10d + 0.05n = 11.65 (2)
From (1)
d = 147 - n
Substitute d = 147 - n into
0.10d + 0.05n = 11.65
0.10(147 - n) + 0.05n = 11.65
14.7 - 0.10n + 0.05n = 11.65
- 0.10n + 0.05n = 11.65 - 14.7
-0.05n = -3.05
n = -3.05 / -0.05
= 61
n = 61
Substitute n = 61 into
d + n = 147
d + 61 = 147
d = 147 - 61
d = 86
Answer:
Step-by-step explanation:
f(x) = 2x - 3
f(-2) = 2(-2) -3 = -4 - 3 = -7
f(-1) = 2(-1) -3 = -2 - 3 = - 5
f(0) = 2(0) -3 = 0 - 3 = -3
f(1) = 2(1) -3 = 2 - 3 = -1
f(2) = 2(2) -3 = 4 - 3 = 1
f(3) = 2(3) -3 = 6 - 3 = 3
3x - 2y - 1 = 0
y = 5x + 4
3x - 2(5x + 4) - 1 = 0
3x - 10x - 8 - 1 = 0
-7x - 9 = 0
-7x = 9
x = -9/7
y = 5x + 4
y = 5(-9/7) + 4
y = -45/7 + 4
y = -45/7 + 28/7
y = - 17/7
solution is (-9/7, -17/7)
