√(15+x) = 2x+3
take sqr for both side
15x+10=(2x+3)^2
15x+10=4x^2+9+2*2x*3
15x+10=4x^2+9+12x
4x^2-3x--1=0
solve it u will x=1,-1/4
the answer is B 2.75 miles per hour
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 C
Step-by-step explanation:
0.5 = Five tenths
and
0.05 = five hundredths
This is because 0.5 is like 50 cents and 0.05 is like 5 cents
The rest are wrong because A: 0.05 simply can't be bigger than 0.5
B is wrong because they aren't equal to each other
and D is wrong because 0.05 + 0.5 = 0.55
