1.
x - 2y = -19
5x + 2y = 1 /+
6x = -18 / 6
x = -3
-3 - 2y = -19
-2y = -16. / ÷(-2)
y = 8
2.
3x + 4y = 18
-2x + 4y = 8 / ×(-1)
3x + 4y = 18
2x - 4y = -8 /+
5x = 10 / ÷5
x = 2
3 × 2 + 4y = 18
6 + 4y = 18 / -6
4y = 12 / ÷4
y = 3
3.
2x + y = 3
-x + 3y = -12 / ×2
2x + y = 3
-2x + 6y = -24 /+
7y = -21 / ÷7
y = -3
2x - 3 = 3 / +3
2x = 6 / ÷2
x = 3
Hit me up in comments if anything is unclear.
Answer:
The average rate of change for the given function, from x = −3 to x = 7 will be:
Step-by-step explanation:
Given the table
x f(x)
-3 50
3 10
7 0
As the interval is from x = -3 to x = 7.
so
at x₁ = -3, f(x₁) = 50
at x₂ = 7, f(x₂) = 0
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [0 - 50] / [7-(-3)]
= [-50] / [7+3]
= -50 / 10
= -5
Therefore, the average rate of change for the given function, from x = −3 to x = 7 will be:
Answer:
A- ⅓(12)(8)(10
Step-by-step explanation:
Volume of a pyramid is ⅓length×width×height
X is the gcf so:
this is the maximum you can factor that too:
<u>1</u><u>5</u><u> </u><u>inches</u> is the height of the pyramid
Step-by-step explanation:
The volume of a cube is a³
Given <em>a</em> = 5 inches
→ Volume = a³
= 5³
= 5×5×5
= <u>125 in²</u>
The volume of a pyramid is
Given a = 5 inches , h = height of pyramid




then,





Hence, the height of pyramid is <u>1</u><u>5</u><u> </u><u>inches</u>