Answer:
(r+s) (x) = 4x+3
(r*s) (x) = 3x^2 +x-4
(r-s) (-1) = -3
Step-by-step explanation:
r(x) = x-1
s(x) = 3x+4
(r+s) (x) = x-1 + 3x+4
Combine like terms
= 4x+3
(r*s) (x) = ( x-1) ( 3x+4)
FOIL
= 3x^2 +4x-3x-4
= 3x^2 +x-4
(r-s) (x) = x-1 - (3x+4)
Distribute the minus sign
=x-1-3x-4
=-2x-5
Let x = -1
(r-s) (-1) = -2(-1) -5
2-5
-3
Answer:
Step-by-step explanation:
The distance that you travelled in your hummer between Olympia and Spokane is 319.4 miles.
You fill up your gas tank with 28.68 gallons of premium gasoline that costs $2.89 per gallon. This means that the total cost of premium gasoline that you bought would be
2.89 × 28.68 = $82.8852
your gas mileage in miles per gallon is 319.4/28.68 = 11.14 miles per gallon.
Therefore, if it costs $82.8852 to drive 319.4 miles,
then the cost of just one mile in your hummer would be
82.8852/319.4 = $0.26 per mile.
The answer is B.
While A, C, and D mean 8/x = -4, B means x divided by 8 = -4.
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Answer:
y = 2x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = B(- 3, - 1 ) and (x₂, y₂ ) = A (1, 7)
m =
=
= 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 7 ) , then
7 = 2 + c ⇒ c = 7 - 2 = 5
y = 2x + 5 ← equation of line