Which are the solutions of the quadratic equation?
Given: x2 = 7x + 4
x2 = 7x + 4
0 = -x2 + 7x + 4
Answer: x = (7 + √33) / 2
Answer:
c. x=3
Step-by-step explanation:
4^x = 8^(x − 1)
4 = 2^2
8 = 2^3
2^2^x = 2^3^(x-1)
We know that a^b^c = a^(b*c)
2^(2x) = 2^(3*(x-1))
2^(2x) = 2^(3x-3)
The bases are the same so the exponents are the same
2x = 3x-3
Subtract 3x from each side
2x-3x = 3x-3-3x
-x = -3
x =3
Answer: 0.4 meters per hour.
Step-by-step explanation:
The rate of change of distance with respect to time is known as speed.
Formula :
Given : It's raining outside, and after 1 hour of rain, the water level in Jake's pond is 2 meters. After 3 hours, the water level is 2.8 meters.
i.e. Change in position= 2.8-2=0.8 meters
Change in time = 3-1=2 hours
i.e. 
Hence, the rate of change =0.4 meters per hour.
Answer:
50cm
Step-by-step explanation:
If the sides are consecutive odd integers,
Let the smallest side=y
The other sides are y+2 and y+4
The perimeter=144cm
y+y+2+y+4=144
3y+6=144
3y=144-6
3y=138
y=138/3=46cm
Therefore, the largest side of the triangle:
y+4=46+4=50cm
Therefore, the largest side of the triangle is 50cm
