To find the maximum height you need to find the vertex:(h,k)
Your equation is in vertex form a(x-h)+k and the vertex is (h,k) where k is the maximum height and the h is the distance it went to reach the maximum height.
k=6 so the kangaroo's maximum height is 6 feet.
To find how long is the kangaroo's jump, take a look at the graph. You will notice that the parabola ends at the distance the kangaroo jumped. You will also see that it is the one of the x-intercepts.
-.03(x-14)^2+6=0
-.03(x-14)^2+6-6=0-6
-.03(x-14)^2=-6
-.03/-.03(x-14)=-6/-.03
(x-14)^2=200
[(x-14)^2]^.5=200^.5
x-14=(200)^.5
x-14+14=(200)^.5+14
x≈28.14 feet
The kangaroo jumped a distance of 28.14 feet.
You will notice that the square root of a number gives you two solutions a positive and a negative one. The other solution is -.14, which we know distance is not negative so we do not use that solution. Also, I used the ^.5 instead of using the square root. It is the same.
Answer:
Your answer is: A) True
( I say true because 1) .5 2) 7 are rational) ( I dont know about v16, if that is what it is supposed to say, then I cant quite tell)
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Step-by-step explanation:
Hope this helped : )
Answer:
1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+24+13=2x−16
x+ 1 2 + 1 3 =2x+ −1 6
(x)+( 1 2 + 1 3 )=2x+ −1 6 (Combine Like Terms)
x+ 5 6 =2x+ −1 6
x+ 5 6 =2x+ −1 6
Step 2: Subtract 2x from both sides.
x+ 5 6 −2x=2x+ −1 6 −2x
−x+ 5 6 = −1 6
Step 3: Subtract 5/6 from both sides.
−x+ 5 6 − 5 6 = −1 6 − 5 6
−x=−1
Step 4: Divide both sides by -1.
−x −1 = −1 −1
x=1
A permutation is where there is a difference in positions where the things will be selected into (order matters). Combination is where order doesn’t matter. I have sorted them but I am not sure about the starting line up one. If the players are selected into specific positions then it would be a permutation.
Answer:
(D) 59 MPH
Step-by-step explanation:
To do this, we simply must look at what the table is giving us. From the top left corner, we can see that they are supplying us with the mileage between each of the cities given. Since we're going from Dallas to Lubbock, find Dallas on the y-axis and go left until you see Lubbock.
The distance between Dallas and Lubbock is <u>351 miles</u>. Now, we have to take our given information, our desired travel time of <u>6 hours</u>, and divide from the miles to get our speed:
Then, we round up to the nearest whole number to get our answer of 59 miles per hour.
