Answer:
y = (-1/4)*x+2
Step-by-step explanation:
The equation is written this way : y= mx+c
- m is the slope and c is a constant
- m = (f(4)-f(-4))/(4-(-4))= (1-3)/8 = -1/4
- y = (-1/4)*x + c
- replace x and y by the coordinates of a point to get c
- 1 = -1/4*4+c
- 1= -1+c
- c= 2
y = -1/4*x+2
Answer:
Answer: 208
is the answer I know got it correct
a) equation will be 0.5x + 3 = 18.50
b) equation will be (0.75x - 0.10x) + 3 = 21.00
<h3>What is equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
a) Sydney made $18.50 selling lemonade.
she sold each cup for $0.50 and received a $3 tip from a neighbor.
let x be the cost of cup she sold.
equation will be 0.5x + 3 = 18.50
b) Daria made a profit of $21.00 selling lemonade
she sold her lemonade for $0.75 per cup, received a tip of $3 from a neighbor.
equation will be (0.75x - 0.10x) + 3 = 21.00
c) Sydney don't have to pay for the cups used while Daria paid.
Learn more about this concept here:
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2 4 6
3 6
1/3 x 2 = 2/6 1/2 x 3 = 3/6, so they ate 5/6 in all
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:
