Answer:
a) 186
Step-by-step explanation:
g(x) = 7(x^2 + 3) - 10
g(5) = 7((5)^2 + 3) - 10
g(5) = 7(25 + 3) - 10
g(5) = 7 × 25 + 7 × 3 - 10
g(5) = 175 + 21 - 10
g(5) = 186
Answer:
3 gallons
Step-by-step explanation:
If two gallons of paint covers 800 square feet, 'x' gallons of paints will cover 1200square feet room where x is the number of gallons needed to paint the 1200 square feet room.
Mathematically,
2 gallons = 800sq.ft
x gallons = 1,200sq.ft
x × 800 = 2 × 1200
x = 2 × 1200/800
x = 3 gallons
Therefore Leah will need 3gallons of paint for 1200sq.ft room
Answer:
y = 2x - 1
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 ) = A(4, 7) and (x₂, y₂ ) = B(2,3)
m =
=
= 2 , thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line