Solution:
we are given that
Kailey's parents are planning to open a savings account for her future college expenses. To help their money grow faster.
Since they want the money to grow faster and money can grow faster only if the bank pays higher interest on the savings.
Hence
Kailey's parents should choose a bank that has a high interest rate.
Hence the correct option is (B)
Angle 2 is 143
angle 4 is 37
angle 7 is 143
angle 8 is 37
Answer:
Step-by-step explanation:
(5x+1)²>(2x+2)²+(4x)²
25x²+10x+1>4x²+8x+4+16x²
5x²+2x-3>0
5x²+5x-3x-3>0
5x(x+1)-3(x+1)>0
(x+1)(5x-3)>0
x+1=0,gives x=-1
5x-3=0,gives x=3/5
x >0(because 4x should be >0)
side is always positive.
so x>3/5
again 5x+1<2x+2+4x
5x-6x<2-1
-x<1
x>-1
x=all real values >3/5
The answer is 57.04 meters.
Solution:
The height y of the rock above the ground as a function of the horizontal distance x from the starting point on top of the hill can be modeled by the equation
y = -0.04x^2 + 1.3x + 56
We now set this equation equal to zero because the height of the ground where the rock will land is zero:
0 = -0.04x^2 + 1.3x + 56
Since we have a quadratic equation, we can calculate for the horizontal distance x by using the quadratic formula
x = [-b ± sqrt(b^2 - 4ac)] / 2a
x = {-1.3 ± sqrt[1.3^2 - 4(-0.04)(56)]} / 2(-0.04)
x = (-1.3 ± sqrt(10.65)) / (-0.08)
x = -24.54 meters or 57.04 meters
There are two solutions for x but one is negative, so we choose the positive value.
