Answer:
linear and non-proportional
Step-by-step explanation:
When the same amount is added each week, the relationship is linear. When the initial value is 50, not zero, the relationship is non-proportional.
Answer:
The expressions for the payment made to Mary are,
(Monday) 90 = 15m + b
(Tuesday) 62 = 8m + b
where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30.
The equation that represents Mary's earning is
y = 4x + 30
For 20 students,
y = 4(20) + 30 = 110
For Lisa's earnings,
y = 8x + 15
Substituting 20,
y =8(20) + 15 = 175
Thus, Lisa would earn more than Mary by $65.
(Btw this is not my work, I got it from someone else on brainly and wanted to help lol)
The length of the midsegment is 22
Answer:
x = -34
, y = 31
Step-by-step explanation suing Gaussian elimination:
Solve the following system:
{2 x + 3 y = 25
3 x + 4 y = 22
Express the system in matrix form:
(2 | 3
3 | 4)(x
y) = (25
22)
Write the system in augmented matrix form and use Gaussian elimination:
(2 | 3 | 25
3 | 4 | 22)
Swap row 1 with row 2:
(3 | 4 | 22
2 | 3 | 25)
Subtract 2/3 × (row 1) from row 2:
(3 | 4 | 22
0 | 1/3 | 31/3)
Multiply row 2 by 3:
(3 | 4 | 22
0 | 1 | 31)
Subtract 4 × (row 2) from row 1:
(3 | 0 | -102
0 | 1 | 31)
Divide row 1 by 3:
(1 | 0 | -34
0 | 1 | 31)
Collect results:
Answer: {x = -34
, y = 31
Answer:
Both will be at the same page after 6.5 days and the page number will be 180.
Step-by-step explanation:
Let after x days Nora and Lila will be at the same page.
Nora is on page 128 and plans to read 8 pages per day until the next club meeting.
After x days Nora will be at the page number = 128 + 8x
Similarly, Lila is on page 102 and she reads 12 pages per day.
After x days Lila will be on page number = 102 + 12x
Since after x days they will be at the same page
Therefore, 128 + 8x = 102 + 12x
12x - 8x = 128 - 102
4x = 26
x = 
x = 6.5 days
Page number they will be on = 128 + 8(6.5)
= 128 + 52
= 180
Both will be at the same page after 6.5 days and the page number will be 180.
