14. 1.5, 10 <- Answer
15. 5,1 <- Answer
Proof 14
Solve the following system:
{2 x - y = -7 | (equation 1)
4 x - y = -4 | (equation 2)
Swap equation 1 with equation 2:
{4 x - y = -4 | (equation 1)
2 x - y = -7 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x - y = -4 | (equation 1)
0 x - y/2 = -5 | (equation 2)
Multiply equation 2 by -2:
{4 x - y = -4 | (equation 1)
0 x+y = 10 | (equation 2)
Add equation 2 to equation 1:
{4 x+0 y = 6 | (equation 1)
0 x+y = 10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 3/2 | (equation 1)
0 x+y = 10 | (equation 2)
Collect results:
Answer: {x = 1.5
y = 10
Proof 15.
Solve the following system:
{5 x + 7 y = 32 | (equation 1)
8 x + 6 y = 46 | (equation 2)
Swap equation 1 with equation 2:
{8 x + 6 y = 46 | (equation 1)
5 x + 7 y = 32 | (equation 2)
Subtract 5/8 × (equation 1) from equation 2:{8 x + 6 y = 46 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Divide equation 1 by 2:
{4 x + 3 y = 23 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Multiply equation 2 by 4/13:
{4 x + 3 y = 23 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 20 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 5 y = 1
5 ounce of peas.
Explanation:
5 ounces of a can of peas is $0.85.
10 ounces of two cans of peas is $1.75.
10 is closer to 11.
So 5 ounces of a can of peas is more reasonable.
3/4
1/6 of the pot is 2/12
1/12 + 2/12 is 3/12
1 - 3/12 is 9/12 = 3/4
3/4 of the pot is left over
Answer:
The range is the output value or the y value.
You would work backwards to find the domain.
f(x) = 4x - 1 f(x) = 4x - 1
3 = 4x - 1 7 = 4x - 1
add 1 to both sides add 1 to both sides
4 = 4x 8 = 4x
divide both sides by 4 divide both sides by 4
x = 1 x = 2
f(x) = 4x - 1 f(x) = 4x - 1
11 = 4x - 1 15 = 4x - 1
add 1 to both sides add 1 to both sides
12 = 4x 16 = 4x
divide both sides by 4 divide both sides by 4
x = 3 x = 4
Domain { 1, 2, 3, 4}
Step-by-step explanation:
