Question

Can an expert please respond before the night is over. If the sides of a square are lengthened by 5 cm, the area becomes 81 cm². Find the length of a side of the original square.

The length of a side of the original square is __ cm

Jack usually mows his lawn in 6 hours. Marilyn can mow the same yard in 3 hours. How much time would it take for them to mow the lawn together?

They could mow the lawn in ___ hours if they worked together

Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax² +bx+c=0.

Solution: 3, only solution

The equation is __ =0

Find the variation constant and an equation of variation where y variation directly as x and y = 27 when x=9

The variation constant is K = ____

The equation of variation is y = _____

Use the FOIL method to fine the product.

( ?5x?^3-3) (x^5 -1)

Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).
F(x)=1/2(x+3)² +8

The vertex is _____

The line of symmetry is x =______

What is the maximum/minimum value of f(x)? _____

Is the value, f(-3)=8, a minimum or maximum?

Divide
(36b³ + 18b² + 32b +37) ÷ (6b+5)

Choose the correct answer
6b² -2b -7 + 2/(6b+5)
6b +7
6b² -2b-7- 2/(6b+5)
6b²+2b+7

If a pro basketball player has a vertical leap of about 25 inches, what is his hang time? Use the hang-time function V=48 T²

His hang time is ____ seconds
(simplify your answer. Type an integer or a decimal. Round to the nearest tenth.)


In a right triangle, find the length of the side not given.
B=1, c=v17 v17 a

1
Television sets. What does it mean to refer to a 20-in TV set or a 25-in TV set? Such units refer to the diagonal of the screen. A 35-in TV set also a width of 28 inches. What is its height?

What is the height of a 35-in TV? ____ inches

Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function.

The x-coordinate of the vertex is ____
(Type a simplified fraction.)

The y-coordinator of the vertex is ____
(Type a simplified fraction.)

The equation of the line of symmetry is x =______
(Type a simplified fraction.)

The maximum/minimum of f(x) is _____
(Type a simplified fraction.)

The value, f (1/2) = 7/2 is? Minimum or Maximum
(Type a simplified fraction.)

Rewrite with a rational exponent
v(5&20) (Simplify your answer.)




Identify the degree of each term of the polynomial and the degree of the polynomial
?-8x?^3 +?9x?^2+7x+4

The degree of the first term is ____

The degree of the second term is______

The degree of the third term is_______

The degree of the fourth term is_______

The degree of the polynomial is ________


Evaluate the polynomial for x+0
?2x?^2 -4x+7 (simplify your answer)

Use rational exponents to write x^(1/6) *y^(1/8)*z^(1/4)
Chose the correct expression below

a) v(24&x^4 y^3 z^6 )

b) v(24&xyz)

c) v(192&xyz)

v(24&(xyz)^13 )


Add

(?3a?^4 ?-4a?^3 +?4a?^2+13a-6) + (a^5+?12a?^3+?4a?^2 ?-4a?^2-4a+2)+(?-6a?^4+a^2-5a-8)


Find a polynomial for the perimeter and for the area side.
C+4




The perimeter is______

The are is _____

Add

(?3x?^2 -8xy + y^2) + (?-9x?^2 -6xy ?-y?^2) + (x^2 + xy ?-2y?^2)

For the following equation, state the value of the discriminate and then describe the nature of the solutions. ?-8x?^2 +7x +15=0
What is the value of the discriminant?_____

Which one of the statements below is correct?
The equation has two imaginary solutions
The equation has one real solution.
The equation has two real solutions

Solve

?6x?^4 ?-13x?^2 +6=0

The solution is x =_______
(simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use a comma to separate answers as needed. Type N if there is no solution.)




Rewrite the following expression with positive exponents.
?(3xy)?^(-7/10)

Choose the correct equivalent expression.
?(3xy)?^(-7/10) = ?-(3xy)?^(7/10)
?(3xy)?^(-7/10) = ?(3xy)?^(-7/10) 1/?(3xy)?^(10/7)
?(3xy)?^(-7/10)=?(3xy)?^(10/7)
?(3xy)?^(-7/10) =1/?(3xy)?^(7/10)

Subtract the polynomials ?(-11v?^2 +7v+3) – (?7v?^2 + 3)