Answer:
4.1
Step-by-step explanation:
<u><em>You can use the Pythagorean Theorem to solve this:</em></u>
<u><em>Plug in the numbers into the formula:</em></u>
16 + 1 =
17 =
<u><em>Square both sides:</em></u>
4.12 = c
4.1 = c
Answer:
Solutions are real and distinct
b = -1/2, -3/2
Step-by-step explanation:
4b² + 8b + 7 = 4
4b² + 8b + 3 = 0
B²-4AC = 8² - 4(4)(3) = 16 > 0
So, the solutions are real and distinct
4b² + 8b + 3 = 0
4b² + 6b + 2b + 3 = 0
2b(2b + 3) + 1(2b + 3) = 0
(2b + 3)(2b + 1) = 0
2b + 3 = 0 b = -3/2
2b + 1 = 0 b = -1/2
Answer:
See below.
Step-by-step explanation:
We need to figure out the function of g(x) first.
y=mx+b
7=2x+b
5=4x+b
Subtract the first from the second.
2x=-2
x=-1
Plug back into the equation.
7=-2+b
b=9
y=-x+9
A. The y-intercept of the function f(x) is less than the y-intercept of g(x).
The y-intercept of f(x) is 8 and of g(x) is 9. This is true.
B. Function f(x) is non-linear. This is true.
C. Function f(x) has more x-intercepts than g(x). f(x) does not have any x-intercepts. g(x) has 1. This is false.
D. The y-intercept of the function f(x) is greater than the y-intercept of g(x). Since A is true, this must be false.
E. The y-intercepts of f(x) and g(x) are equal. This is false, since A is true.
When x gets large, the function of highest degree will always grow the fastest.
The blue curve (f(x)) may start out below the others, but quickly surpasses them.
9 liters of fuel covered 81 km
1 liter of fuel would have covered 81/9 km = 9 km
22 liters of fuel would then cover = 22 * 9 = 198 km.