Hi Mike… can you solve this and explain please? Thanks!
ax + 5y = 8
12x + 15y = 10
In the given system of equations, a is a constant. If the system has no solutions, what is the value of a ?
Some 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.
Hello 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
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, 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?
g(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?
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?
In a circle with area of 120 to 124 sq inches, the area of the sector formed by an angle is between 20 and 21 sq inches. What is one possible integer value of the angle?
I came up with a low value of 60 (if area of circle is on the lowest end, 120 sq inches, and area of the sector is also on the low end, 20 inches). If both those areas are on the highest end, then I came up with 60 again. But answer is supposed to be 59 ≤ x ≤ 63. Does this make sense, and if so, can you explain it?
Can you work through question 38 on Section 4 of practice test 1? Thanks 🙂
Test 10 Question 23
Test 10 – Question 30
in the xy plane, point (x,y) lies on the circle with equation x^2+y^2=1 and on the line with the equation y=2x what is the value of xy?
It sat math subject test level 1
Thanks in advance 🙂
if (4/3)y = (3/4)x , for what value of x will x = y?
Hello Mike,
Basically, I’m having a little trouble understanding the explanation for #3 on the Working in Three Dimensions section on page 284. I got a little lost after the part where you explained how d was the height (this makes sense to me). Like, how do we “recognize that the ab term in the surface area expression must represent both the top and the bottom of the prism”? I think it’s somewhere from the equation but I don’t know where. I would greatly appreciate your help here Mike. Thanks!