Answer: 42/9
Step-by-step explanation: 7/9 x 6/1 = 42/9
Answer:
Step-by-step explanation:
Let's "complete the square," which will give us the vertex of this vertical, opens-up parabola:
g(x) =x^2+4x+1 can be rewritten as g(x) =x^2+4x + 4 - 4 +1, where that +4 comes from squaring half of the coefficient of x.
Then we have g(x) =x^2+4x + 4 - 4 + 1 => g(x) = (x + 2)^2 - 3.
Comparing this to y = (x - h)^2 + k,
we see that the vertex, (h, k), is located at (-2, -3).
Plot this vertex. Also, plot the y-intercept (0, g(0) ), which is (0, 1).
This information is enough to permit graphing the function roughly.
Answer:
y = 5/2x - 8
Step-by-step explanation:
convert to y = mx + b
2x + 5y = 10
5y = -2x + 10
y = -2/5x + 2
flip the slope to 5/2
y = 5/2x + 2
plug in (2, -3)
-3 = 5/2(2) + b
-3 = 5 + b
-8 = b
y = 5/2x - 8
Answer:
Step-by-step explanation:
If the board is 5/8 of a yard, then it is 5/8 of 36 inches (a yard is 36 inches).
5/8 * 36 = 22.5 inches.
Frank now cut's 3/5 of the length of the board. So he is going to cut off 3/5 of 22.5 inches.
(3/5) * 22.5 = 67.5 / 5 = 13.5 inches.
You don't specify what the units should be. I translate this into yards, but I think if you want something else, leave a comment.
13.5 /36 = 0.375 = 3/8 of a yard.
Distance = velocity x time
Assume the distance moved by your friend is "d" and that the time taken for you to catch to him is "t"
you are moving with a velocity of 18 mph and your friend is moving with a velocity of 12 mph.
distance covered by your friend (d) = 12t miles ......> equation 1
If you add 3 to your rate, your distance will be the same as your friend's. This means that:
<span> d+3 = 18t miles ......> equation 2
Substitute by 1 in 2:
12t + 3 = 18t
3 = 6t
t = 0.5 hours
This means that you will catch up to your friend in half an hour.</span>
