Describe the location of square root 78 on a number line. explain your reasoning.

  between 8 and 9

Step-by-step explanation:

The square of 8 is 64, which is less than 78.

The square of 9 is 81, which is more than 78.

The square root of 78 will lie between 8 and 9 on the number line.

√78 is near 8.832

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!