Answer:
y = 2x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 5)
m = 
= 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 5), then
5 = 4 + c ⇒ c = 5 - 4 = 1
y = 2x + 1 ← equation of line
<span>(x+4)(x+1) = m+2x
x² + 5x + 4 − m − 2x = 0
x² + 3x + (4−m) = 0
Quadratic equation has exactly one real solution
when discriminant = 0
b² − 4ac = 0
3² − 4(1)(4−m) = 0
9 − 16 + 4m = 0
−7 + 4m = 0
4m = 7
m = 7/4
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Second problem:
Line y = 3 intersects graph of y = 4x² + x − 1 at point A and B
y-coordinates of points A and B = 3, since they are both on line y = 3. We need to find x-coordinates
4x² + x − 1 = 3
4x² + x − 4 = 0
x = (−1 ± √(1−4(4)(−4))) / 8
x = (−1±√65) / 8
AB = (−1+√65)/8 − (−1−√65)/8 = 2√65/8 = √65/4 = √(65/16)
m−n = 49</span>
I have take the answer from internet, I hope it help
Answer:
Total Cost - 54c
Step-by-step explanation:
Given is 3 groups of elderly residents at the Bayside Residential Home. One of the home has 14 members, another one with 23 members and the third one with 17 members. Supposing that 'c' represent the cost of trip per resident.
Calculation,
Total of residence
14+23+17
= 54 residents
Hence, since there are 54 residents, total cost 54c.
Answer:
(10, 5)
Step-by-step explanation:
(0, 5) reflected over x=5 becomes 10 units away from x = 0
0 lines because however you cut it in half, The sides do not match.
