math
(z^(1/2)+z^(3/2))^2 Expression is equivalent to expression above? assuming z (greater than or equal to) 0
z+2z^2+z^3
-2(x+2) = 6-ax Exactly one solution, a values?
-2
If f(x-2) = 3x+4 for all values of x, what is the value of f(-4)?
-2
4[6+2s]-27 (less than or equal to) -3 Describes solution to inequality?
-6 (less than or equal to) s (less than or equal to) 0
3 red fish : 4 blue fish >> each tank 46 fish in large tank : 5 fish in small tank What is the ration of blue fish in the small tank to the red fish in the large tank?
10 : 69
3+√6m-26 = m What is the sum of all the solutions to the above equation?
12
A store has five different lengths of extension cords for sale as shown in the table below. If the range of lengths of five cords is 7 feet, what is the greatest possible value of x? Cord Length 8 feet 11 feet 6 feet 7 feet x feet
13
mx-9x-3 = 4x+n If the equation has infinitely many solution, what is the value of m-n?
16
Random sample >> 1,500 resident aged 25 years or older, 399 residents had a bachelor's degree or higher. Entire country: 635,000 aged 25 years or older. Approximately how many county residents could be expected to have a bachelor's degree or higher?
164,000
The time in minutes, rounded to the nearest minute, that runners took to finish a 3-mile race show in the table to the left, If the mean finish was 21 minutes, what is the value of r in this table? Time in minute Number of runners 18 1 19 2 20 3 21 6 22 r 23 1 24 2
2
The random sample of 35 four passages vehicles had a mean gas, in mile per gallon (mpg), of 25.9 mpg. The estimate had a margin of error 2.6 mpg at a 98% confidence level. which of the following, which is the most plausible value for the true mean gas mileage of all four-door passages vehicle?
24
(2+√2)/(2-√2) Which of the following is = to the above expression?
3+2√2
3^(-1/5)*(1/3)^(-2/5) value = to value above?
3^(1/5)
4x+1 = -ax-4 Exactly one solution, value of a?
4
4(80+n) = (3k)n k= constant For what value of k are no solution?
4/3
84% of household live in the same house as previous year. Census have a margin of error of 1.5% at 90% confidence level. 500,000 household >> total of that country Estimates the # of household that live in the same house ad previous year?
41,250 and 42,750
-4+bx = 2x+3(x+1) Value of B, no solution?
5
-x = -6y-7 x-6y = k K result in a system of equations with infinitely many solutions?
7
∛64^27 Value = to the expression above?
8^18
3+10x-5 = (a+1)*x-2 a=constant For what values of a does the equation have infinitely many solutions?
9
9 < 15mx-8 < 27 What is the possible range of values of (8/3)-5mx?
Any value greater than -9 but less than -3
Can square roots distribute over the sums?
NO
Can you combine the terms under radical? Why?
No, they do not have the same variable part.
8-9(x+1) = ax+4 Value of a, one solution?
a = 8 a = 9
a(x^2) + 10x - 1 = 0 Which of the following inequalities represents all value of a for which the equation has two distinct real solution?
a > -25
One Solution Formula
ax+b = cx+d where a is not equal to c
(bd)^(1/4) * (b/d)^4 Which of the following expression is = to the expression about assuming d is nonzero?
b^(17/4) * d^(-15/4)
If the function g is defined by g(x) = (-x^2) + 3x +10, which of the following is g(2x+5)?
g(2x+5) = (-4x^2) - 14x
14+mx = 4nx-22 m & n = constants For what values of m and n does the equation have exactly one solution?
m = (1/4) & n = 1
What is Range?
the different between the greatest value and the least value
√(16x^2)(y^16)+(25x^16)(y^2) If x and y are positive, which of the following = to the above expression?
xy√(16y^14)+(25x^14)