In drilling the world’s deepest hole, it was found that the temperature T in degrees Celsius, x km below the earth’s surface, was given by T = 30 + 25(x – 3), 3 ≤ x ≤ 15. At what depth will the temperature be between 155°C and 205°C?

A) 8 < x < 10

B) 8 > x < 10

C) 8 > x > 10

D) 8 < x > 10

- 3x + 21px = 84
In the given equation, p is a constant. The equation has no solution. What is the value of p?

A) 7

B) \$- 1/7\$

C) - 7

D) \$1/7\$

Let L1 be the line passing through the points (1, 2) and (3, 4), and let L2 be the line parallel to L1 passing through the point (5, 6). What is the equation of L2?

A) \$y = x/2\$

B) y = x + 1

C) y = 2x + 1

D) \$y = (3x)/2\$

Solve the inequality and represent the solution set:
\$ (x^2 − 4x + 3 ​≥ 0)/(x + 1) \$

A) x ∈ (−1,1] ∪ [2,∞)

B) x ∈ (−1,2] ∪ [3,∞)

C) x ∈ (−1,1] ∪ [3,∞)

D) x ∈ (−2,1] ∪ [-3,∞)

kx - 3y = 4
4x - 5y = 7
In the given system of equations, k is a constant, and x and y are variables. For what value of k will the system of equations have no solution?

A) \$ 16/7 \$

B) \$ - 16/7 \$

C) \$ - 12/5 \$

D) \$ 12/5 \$

P= 1.20x + 5.00
The given equation gives the total monthly price P, in dollars, for using an online gaming service. The total monthly price for the online service consists of a flat monthly fee and a charge for each game played during a month. Of the following, which is the best interpretation of the value of x in this context?

A) The flat monthly fee, in dollars, for the gaming service.

B) The charge, in dollars, for playing x games.

C) The number of games played during a month.

D) The number of months the gaming service was used.

Maizah bought pants and a briefcase at a department store The sum of the prices of the pants and the briefcase before sales tax was.$130.0Q. There was no sales tax on the pants and a 9?‘ sales tax on the briefcase. The total Maizah paid, including the sales tax, was $136.75. What was the price in dollars, of the pants?

A) $55

B) $59

C) $57

D) $60

\$ (1/2)x - (2/3)y = 7\$
\$ax - 8y = -1\$

If this system of linear equations has no solution, and a is a constant, then what is the value of a?

A) 2

B) 6

C) - 2

D) \$-1/2\$

A chemist has two solutions: Solution A containing 20% acid and Solution B containing 50% acid. How many liters of each solution should be mixed to obtain 30 liters of a solution containing 40% acid?

A) 20 litres of Solution A and 20 litres of Solution B.

B) 10 litres of Solution A and 10 litres of Solution B.

C) 10 litres of Solution A and 20 litres of Solution B.

D) 15 litres of Solution A and 20 litres of Solution B.

\$ F(x) = 9/5 (x - 273.15) + 32\$
The function F gives the temperature, in degrees Fahrenheit, corresponding to a temperature of x kelvins. If a temperature increased by 2.10 kelvins, how much did the temperature increase, in degrees Fahrenheit?

A) 3.78

B) 35.78

C) 487.89

D) 519.89