Answer:
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = 
![= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-5-2%7D%7B3-%5B-6%5D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-5-2%7D%7B3%2B6%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-7%7D%7B9%7D%5C%5C)
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
2) (3 , -4) ; m= 3
)
y - [-4] = 3(x - 3)
y + 4 = 3x - 3*3
y + 4 = 3x - 9
y = 3x - 9 - 4
Ans: y = 3x - 13
3) m = 2 ; y-intercept (b) = 3/2
y = mx + b
Ans: y = 2x + (3/2)
4) (-1, 3 ) ; (2 , 0)
Slope = ![\frac{0 - 3}{2-[-1]}](https://tex.z-dn.net/?f=%5Cfrac%7B0%20-%203%7D%7B2-%5B-1%5D%7D)
m = 1; ( -1 , 3)
y - 3 = 1(x -[-1])
y - 3 = 1(x + 1)
y - 3 = x + 1
y = x + 1 + 3
Ans: y = x + 4
5)(2, 1) ;m = -3
y - 1 = (-3)(x - 2)
y - 1 = -3x + 6
y = -3x + 6 +1
Ans: y = -3x + 7
Answer:
3.00
Step-by-step explanation:
Given that :
Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10
Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05
Expected value :E(X) = ΣX* p(x)
E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)
E(X) = 3
Expected value = 3.00
The possible values of b are 7 and 8
<h3>How to determine the possible values of x?</h3>
The expression is given as:
4x² + bx + 3
Next, we test the options to determine the values of b
<u>Option 1: b = 13</u>
So, we have:
4x² + 13x + 3 ---- this cannot be factorized
<u>Option 2: b = 7</u>
So, we have:
4x² + 7x + 3
Expand
4x² + 4x + 3x + 3
Factorize
4x(x +1) + 3(x + 1)
Factor out x + 1
(4x + 3)(x + 1) ------ this can be factorized
<u>Option 3: b = 8</u>
So, we have:
4x² + 8x + 3
Expand
4x² + 6x + 2x + 3
Factorize
2x(2x +3) + 1(2x + 3)
Factor out 2x + 3
(2x + 3)(2x + 1) ------ this can be factorized
<u>Option 4: b = 1</u>
So, we have:
4x² + x + 3 ---- this cannot be factorized
Hence, the possible values of b are 7 and 8
Read more about factorized expressions at:
brainly.com/question/723406
#SPJ1
Answer:
150
Step-by-step explanation:
Curved surface area of a cylinder = 2
Radius=
cm
Height=
cm
Curved surface area of a cylinder=
= 2 x 
x 30
= 150
