Answer:
The daughter is 16 and the father is 64
Step-by-step explanation:
f=father
d=daughter
f = 4d
f+8 = 3(d+8)
solving-
d=16
f=64
4% of $200 is $8. So I don’t think you finish the question, so I assume the interest rate is increasing by months. If that’s true then the $8 is added each month.
Answer:
Rate or speed=3 Miles per hour
Step-by-step explanation:
Brad walked 2.5 miles in 5/6 of an hour.
Distance covered by Brad = 2.5 miles
Distance covered by Brad= 2 1/2 miles
Distance covered by Brad= 5/2 miles
Time taken to cover the distance = 5/6 of an hour
His rate of walking or how fast he walks is determined by the formula
Rate or speed= distance/time
Rate or speed=( 5/2)/(5/6)
Rate or speed= (5/2)*(6/5)
Rate or speed=6/2
Rate or speed=3 Miles per hour
If Q is tangent to circle P, that means that it is perpendicular to the radius at the point of tangency. This means that ΔPRQ would be a right triangle. We can use the Pythagorean theorem to solve this.
9² + 12² = (x+9)²
We use x+9 because the unknown segment x would combine with the radius, 9, to give that side of the triangle (the hypotenuse).
81 + 144 = (x+9)(x+9) ---- remember that squared means multiplied by itself
225 = (x+9)(x+9)
Multiply the right hand side:
225 = x² + 9x + 9x + 81
225 = x² + 18x + 81
Subtract 225 from both sides:
225 - 225 = x² + 18x + 81 - 225
0 = x² + 18x - 144
Use the Quadratic Formula to solve:

This gives us

Since -18 - 30 = -48, and a negative number doesn't make sense in this situation, we have
x = (-18+30)/2 = 12/2 = 6.
Answer:
at x = -7 it will cross over
Step-by-step explanation:
Roots -4 and -7
the power of 6 means the graph will not crossover (it will be positive...kinda like a parabola)
the power of 5 means there will be a negative component of the graph and it will cross over the axis