Answer:
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}}} }}
First, isolate the x:
5x-2x= 2-3
Then solve!
3x= -1
x= -1/3
Hope this helps!
Answer:
Step-by-step explanation:
The degree of polynomial is the sum of exponents of the variables involved in the expression,hence the given degree is
2+3=5,so 5 is the degree of the polynomial.
50 + .4x = 70 + .3x
.4x = .3x + 20
.1x = 20
x = 200
Let x be the number of miles.
They have to drive 200 miles.
120 people who all need 1 drink, so if each drink needs .5 cups of concentrate you will do 120d × 0.5 = 60 total cups of concentrate. if you then set up a fraction, you could cross multiply to get the answer, but I cant do fractions here so I'll say this: if every 5 cups of concentrate gives 19 cups of water, then you divide 60 cups by 5 cups to see how many "batches" of this recipie you will need, you get 12 batches, so 12 x 19 (cups of water per batch) to get 218 ( I think, check my math with a calculator
