Algebra Reviews?

Question

33) Use residuals to determine whether the model is a good fit for the data in the table. Explain.

y=2x+1

(Table)

x | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 |

y | -11 | -8 | -5 | -4 | -1 | -1 | 2 | 6 | 5 |

71) Write a recursive rule for the explicit rule.

a(sub)n=-1.4n+4

73)

Write a recursive rule for the sequence. Then write the next two terms.

6, 8, 14, 22, 36, 58

74)

Write a recursive rule for the sequence. Then write the next two terms.

4, 3, 1, 2, -1, 3, -4

79)

Solve the equation.

3x^2-11=-14

93)

Each of two cats has one black patch gene (B) and one tan patch gene (t). Any gene combination with a B results in black patches. The punnett square shows the possible gene combinations of the offspring and the resulting patch colors.

B t

B BB Bt

t Bt tt

Show how you could use a polynomial to model the possible gene combinations of the offspring.

106)

Find the value of the function

f(x) = -4x^2+16x+6

107) Find the value of the function

f(x)=2x^2-10x+11

136) For a drag race car that weighs 1500 kilograms, the velocity v (in kilometers per hour) reached by the end of a drag race can be modeled by the function v=24.1(cube root)(p)), where p is the car's power ( in horsepower). Use a graphing calculator to graph the function. Calculate the power of a 1500-kilogram car that reaches a velocity of 220 kilometers per hour. Round to nearest ten.

137) The time t (in seconds) it takes a grandfather clock pendulum to swing back and forth is given by the function t=2π(square root)(r/32)), where r is the length (in inches) of the pendulum. It takes 8 seconds to swing back and forth.

a) How long is the pendulum? Use 3.14 for pi, round to nearest hundredth

b) Find the input to f(x) when the output is -8

Answer 1

71) a(sub)n =-1.4n + 4

n	a(sub)n
1	2.6
2	1.2
3	-0.2
4	-1.6
5	-3
6	-4.4
7	-5.8
8	-7.2

Now we can see that the first term is 2.6 and the common difference is 1.4.

Therefore, this is a recursive formula for the sequence.

a(1) = 2.6

a(n) = a(n -1) - 1.4