# PWN your inbox

# Recent Posts

#### In the given system of equations, a is a constant. If the system has no solutions, what is the value of a ?

February 18, 2021#### In this equation, k is a constant…

February 18, 2021Some help please, Mike?

x^2 – 12x +k = 0 In this equation, k is a constant. For which values of k does the equation have only one solution? I know I can set the discriminant to zero and solve for k. But is there another way to solve? Thanks!

#### Hi Mike, I don’t have a question, I just wanted to say thank you for your work.

February 18, 2021Hi Mike,

I don’t have a question, I just wanted to say thank you for your work.

#### Test 8 Section 3 Question 6

February 5, 2021Hello Mike, I was struggling to make sense of question #6 on the Math (No calculator) section on the SAT Practice Test #8. Can you please explain the steps to properly solve it. Thank you for your time.

#### What is the set of all solutions to the equation square root of (x+2)=-x?

January 30, 2021What is the set of all solutions to the equation square root of (x+2)=-x

A){-1,2}

B){-1}

C){2}

D)There are no solutions to the given equation

Show your work, or tell me how you got your answer thanks.

#### The lengths of the sides of a rectangle are a and b…

January 27, 2021The lengths of the sides of a rectangle are a and b, where a > b The sum of the lengths of the two shorter sides and one of the longer sides of the rectangle is 36. What value of a maximizes the area of the rectangle?

A .9

B. 12

C. 18

D. 24

The answer is C. I suspect there is an easier way to solve than completing the square and finding the vertex of the resulting quadratic function. What is your most direct, easy to understand solution to this calculator-allowed question?

#### For the given function g, which of the following equivalent forms…

January 26, 2021g(x) = 1/5 (5)^(x+4)

For the given function g, which of the following equivalent forms shows the y-coordinate of the y-intercept of the graph of y=g(x) in the xy-plane as a constant or coefficient?

A. g(x) = 125(5)^x

B. g(x) = 25(5)^(x+1)

C. g(x) = 5(5)^(x+2)

D. g(x) = (5)^(x+3)

Choice A is correct, but why?

#### The function f is defined by a polynomial…

January 21, 2021 x f(x)

____________

-5 0

-1 36

0 0

1 6

2 0

The function f is defined by a polynomial. Some values of x and f(x) are shown in the table above. Which of the following could define f?

A) (x – 5) (x + 2)

B) (x + 5)^2 (x – 2)^3

C) x^2 (x + 5) (x – 2)^2

D) x (x + 5) (x – 2)

Specifically, can you explain why C is correct but D cannot be?