Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
If lines are parallel then they have the same slope (m)
This means that the slope of the line will be 3
:
y = 3x + b
Now we must find b
To do that you must plug in the point the line goes through in the x and y of the equation.
(-6, 3)
3 = 3(-6) + b
3 = -18 + b
21 = b
y = 3x + 21
Hope this helped!
~Just a girl in love with Shawn Mendes
15) It is given that the charge of the waffle cone = $1.85
Charge per scoop of an ice cream = $0.60
Let C be the total cost.
So, total charge of one wafflce cone ice cream = charge of the waffle cone + (0.6 times number of scoops
C = 1.85 + 0.6x
16) To find the cost for 6 scoops of ice cream, put x = 6 in the above expression and simplify.
C = 1.85 + 0.6(6)
= 1.85 + 3.6
= 5.45
Hence, cost of 6 scoops of ice cream = $5.45.
Answer:
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(
g
f
)(x)=
4−5x
3x+2
Step-by-step explanation:
Answer:
the answer is a
Step-by-step explanation:
:-)
