Answer:
f[g(x)]= 7x + 27
Step-by-step explanation:
g(x) = x + 2,
f(x) = 7x + 13,
f[g(x)] means you substitute the value of g(x) into the variable of f(x);
Which is 7( x+2) + 13 = 7x +14 +13
= 7x + 27
Answer:
y =
x + 
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 = 
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)
m =
=
, thus
y =
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6 ), then
6 =
+ c ⇒ c = 6 -
=
= 
y =
x +
← equation of line
Answer:
1 mile is mapped to 0.3428 inches i.e. unit rate is 0.3428 inches/mile.
Step-by-step explanation:
Given that the scale of the map is
inches =
miles ....... (1)
Now, we have to convert this map scale to a unit rate.
And the unit rate is the number of inches per mile.
As the scale is constant, therefore from the the relation (1) we get
1 mile =
inches.
Therefore, 1 mile is mapped to 0.3428 inches i.e. unit rate is 0.3428 inches/mile. (Answer)
W = 144. Evaluate the equations inside the parentheses. Which is 12 x 12 then evaluate that. Which equals, 144.