Answer:
equation of a line:
y = mx+c
1) find the gradient, m
2) find y-intercept, c using coordinate (1,-4)
y = mx + c
-4 = 0(1) + c
c = -4
the equation of line:
y = mx+c
y = 0(x) + c
y = c
y = -4
It's called "solve the equation for 'y' ". That means move things
around so that you end up with 'y' all alone on one side, and
everything else on the other side.
You started with 9x - 7y = -7
Subtract 9x from each side: - 7y = -9x - 7
Divide each side by -7 : y = 9/7 x + 1
Answer:
Step-by-step explanation:
C. The graph of G(x) is the graph of F(x) compressed vertically.
If, for example, x = 1, then F(1) = 1^2 = 1, while G(1) = (4/5)(1^2) = 4/5.
Note that G(1) < F(1); we say G(x) is a vertical compression of F(x).
Answer:
7500 revolutions
Step-by-step explanation:
1 rotation of his bicycle tires is equivalent to 1 circumference in linear distance.
circumference = π*diameter = π*20 = 62.8 in
If 1 foot is equivalent to 12 inches, then 62.8 in are equivalent to:
1 ft / x ft = 12 in / 62.8 in
x = 62.8/12 = 5.2 ft
If 5280 ft are equivalent to 1 mile, then 5.2 ft are equivalent to:
5280 ft / 5.2 ft = 1 mile / x mile
x = 5.2/5280 = 0.001 mile
So, when 1 revolution is made, 0.001 mile had been travelled. To compute the number of revolutions after 7.5 miles are travelled, the following proportion must be satisfied:
1 revolution / x revolutions = 0.001 mile / 7.5 miles
x = 7.5/0.001 = 7500 revolutions
