Equating the y's:-
3x + c = x^2 - 5x + 7
x^2 - 8x +7 - c = 0
If y = 3x + c is a tangent then there will be duplicate solutions to this equation
That is the discriminant b^2 - 4ac = 0. So we have:-
(-8)^2 - 4 * 1 * (7 -c) = 0
64 -28 + 4c = 0
4c = - 36
so c = -9 answer
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Total flowers sold = 200
Flowers are :
Carnations, Roses, and Gerber daisies
Carnations = c
Roses = r
Daisies = d
20 fewer roses than daisies ; r = d - 20
Total sales = $453
c = $1.50 each ; r = 3.75 each ; d = 2.25 each
c + d + d - 20 = 200
c + 2d = 220 - - (1)
1.50c + (d - 20)(3.75) + 2.25d = 453
1.50c + 3.75d - 75 + 2.25d = 453
1.50c + 6d = 528 - - - (2)
From (1)
c = 220 - 2d
1.5(220 - 2d) + 6d = 528
330 - 3d + 6d = 528
330 + 3d = 528
3d = 528 - 330
d = 198/3
d = 66
66 × 2.25 = $148.5
c = 220 - 2(66)
c = 88
88 * 1.50 = $132
r = d - 20
r = 66 - 20
r = 46
46 × $3.75 = $172.5
Answer:
Step-by-step explanation:
You don't need to memorize all of the square roots. Looking at each square root, find a number close to it that you know -- The square root of five is close to the square root of four, which is 2. The square root of 28 is close to the square root of 25, which is 5. 28 is a slightly bigger than 25, so the square root will be slightly greater than 5.
Answer:
Did u get the answer yet i need it
Step-by-step explanation:
