Answer:
- (3, 5), (1, 2) and (5, 1)
Step-by-step explanation:
Make three systems with pairs of lines and solve them to work out the vertices.
1) <u>Line 1 and line 2</u>
<u>Double the second equation and subtract equations:</u>
- -3x + 2y - 2(2x + y) = 1 - 2(11)
- -3x - 4x = 1 - 22
- -7x = - 21
- x = 3
<u>Find y:</u>
- 2*3 + y = 11
- 6 + y = 11
- y = 11 - 6
- y = 5
The point is (3, 5)
2) <u>Line 1 and line 3</u>
<u>Triple the second equation and add up equations:</u>
- -3x + 2y + 3(x + 4y) = 1 + 3(9)
- 2y + 12y = 1 + 27
- 14y = 28
- y = 2
<u>Find x:</u>
- x + 4*2 = 9
- x + 8 = 9
- x = 1
The point is (1, 2)
3) <u>Line 2 and line 3</u>
<u>Double the second equation and subtract the equations:</u>
- 2x + y - 2(x + 4y) = 11 - 2(9)
- y - 8y = 11 - 18
- - 7y = - 7
- y = 1
<u>Find x:</u>
- x + 4*1 = 9
- x + 4 = 9
- x = 5
The point is (5, 1)
Explain whether the points (−13,4), (−7,3), (−1,2), (5,1), (11,0), (17,−1) represent the set of all the solutions for the equati
ivann1987 [24]
Answer:
No, because the set of all solutions of y=−16x+116 is represented by the line of the equation.
Step-by-step explanation:
Which sequence below represents an exponential sequence A.) {2,6,10,14,18,...} B.) {3,5,9,16,24,...} C.) {4,8,24,96,...} D.) {25
denis-greek [22]
Answer:
D.) {256,64,16,4,...}
Step-by-step explanation:
Look for the sequence in which adjacent terms are related by a common ratio.
A. 10/6 ≠ 6/2
B. 9/5 ≠ 5/3
C. 8/4 ≠ 24/8
D. 64/256 = 16/64 = 4/16 = 1/4 . . . . this exponential sequence has a common ratio of 1/4
Answer:
A. They will pay more with the new price plan.
B. The new price plan would be cheaper.
Step-by-step explanation:
A. They will pay more with the new price plan.
For the current price plan, you would add the $3 rent to the two games (which are $4 each). This basically means:
$3 + $4 + $4 = $11
For the new price plan, you would add the $11 rent to the two games (which are $2 each). This basically means:
$11 + $2 + $2 = $15
Therefore, you pay more for the new price plan.
B. Using similar logic as part A, the current price plan 7 games would cost:
$3 + [7 x ($4)] = $31 (multiply by 7 since they play 7 games)
For the newprice plan, 7 games would cost:
$11 + [7 x ($2)] = $25 (multiply by 7 since they play 7 games)
Therefore, the new price plan would be cheaper.
Hope this helps :)
Answer:C
Step-by-step explanation:
3.1 x 10^(-4) x 8.5 x 10^(-2)
3.1 x 8.5 x 10^(-4) x 10^(-2)
26.35 x 10^(-4-2)
26.35 x 10^(-6)
2.635 x 10^1 x 10^(-6)
2.635 x 10^(1-6)
2.635 x 10^(-5)
