Answer:
{x = 2 , y = -2
Step-by-step explanation:
Solve the following system:
{y = 4 - 3 x | (equation 1)
{y = x/2 - 3 | (equation 2)
Express the system in standard form:
{3 x + y = 4 | (equation 1)
{-x/2 + y = -3 | (equation 2)
Add 1/6 × (equation 1) to equation 2:
{3 x + y = 4 | (equation 1)
{0 x+(7 y)/6 = (-7)/3 | (equation 2)
Multiply equation 2 by 6/7:
{3 x + y = 4 | (equation 1)
{0 x+y = -2 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = 6 | (equation 1)
{0 x+y = -2 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 2 | (equation 1)
{0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = 2 , y = -2
Answer:
100 miles
Step-by-step explanation:
We need to read the graph to determine the answer.
The input is 10 hours
Using the x, go up until you hit the red line and read the y value
The y value is 100 miles
A sneaker company can make 50 pairs of sneakers for every 6 yards of material.
Then in each case you can consider proportion.
1. 50 pairs -- 6 yards,
80 pairs -- x yards.
Mathematically,
2. 50 pairs -- 6 yards,
100 pairs -- x yards.
Mathematically,
3. 50 pairs -- 6 yards,
120 pairs -- x yards.
Mathematically,
4. 50 pairs -- 6 yards,
140 pairs -- x yards.
Mathematically,
Thus, the table is
The domain of the relation is the set and the range of the relation is See attached diagram for the graph of the relation.
Answer:
8
Step-by-step explanation:
According to the Alternating Series Estimation Theorem:
│aₙ₊₁│≤ ε
1 / (4 (n + 1)⁴) ≤ 0.00005
4 (n + 1)⁴ ≥ 20000
(n + 1)⁴ ≥ 5000
n + 1 ≥ 8.41
n ≥ 7.41
n must be an integer, so n ≥ 8.
Answer:
t=4.45
Step-by-step explanation: