Answer:

Step-by-step explanation:
We are given this function for the height (h) after t seconds:

Seconds is t and we want to find the height after 1.5 seconds. Plug 1.5 in for t.

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Solve the exponent first.

Multiply.


Add.

This is already rounded to the nearest tenth, so it is the answer.
After 1.5 seconds, the basketball is at a height of 7.5 feet.
Answer:
-8f
Step-by-step explanation:
Answer:
(a) 
Step-by-step explanation:
Given


Required
Determine the time in each lap
The unit time in each lap is calculated by dividing the total time by the number of laps; i.e.;

Substitute values for Time and Lap

Answer:
Step-by-step explanation:
R = 3x + 9y
They told us that R = 7, y = 6
So you can rewrite the equation as:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
Subtract 54 from both sides.
7 - 54 = 3x
-47 = 3x
To find x, you need to divide both sides by 3
3x = -47
x = -47/3
Answer:
Step-by-step explanation:
x² + 9x + 18 = x² + 6x + 3x + 18
= x(x + 6) + 3(x + 6)
= (x + 3)(x + 6)
x² + 16x + 63 = x² + 9x + 7x + 63
= x(x + 9) + 7( x+ 9)
= (x + 7)(x + 9)
y² + 13y + 36 = y²+ 9y + 4y + 36
= y(y + 9) + 4(y + 9)
= (y + 4)(y + 9)
(a). Factored form of the expression (y² + 13y + 36) is (y + 4)(y + 9).
Therefore, Lyndsey's answer is wrong.
(b). Factors are (y + 4) and (y + 9).
(c). Factored form of the expression should be (y + 4)(y + 9) instead of Lindsey's answer (y + 6)(y + 6).