2a + b = 17 a + 2b = 19 The solution to the given system of equations is (a, b). What is the value of 3a + 3b ?

After a new car is purchased, the value of the car is modeled by a function that decreases exponentially over time. Which of the following could describe how the value of the car changes each year?

The relative yield of corn, expressed as a percent, and soil pH were recorded for 5 samples. For the 5 samples, the relative yield of corn reached a maximum when the soil had a $p H$ of $6.8$ , and then decreased as the soil pH increased. Which scatterplot could represent these data?

The table shows the maximum depth, in meters, of the 5 deepest oceanic trenches.

What is the range, in meters, of these 5 trench depths?

Each of the whole numbers from 1 to 20 is written on one of 20 identical pieces of paper. The pieces of paper are then put into a hat and mixed together. If a piece of paper is selected at random from the hat, what is the probability that the number on it is a multiple of 3 ?

What is the ratio of AB to BC ?

The curve models the number of fish in a certain population.

Which of the following is closest to the number of fish in the population 16 months after January 2015?

A length of 8 furlongs is equivalent to how many meters? (Use 1 furlong = 201 meters.)

If 2x + 4 = 100, what is the value of 6x + 12 ?

It takes 6 hours to travel m miles. At this rate, how much time, in hours, will it take to travel 5 m miles?

$b left parenthesis t right parenthesis equals 100 left parenthesis 1.11 right parenthesis to the power of t end exponent$ The given function $b$ models the number of flour beetles in a certain area, where $t$ represents the number of days after June 1. Which of the following is the best interpretation of the number 1.11 in this context?

8x - 4y = 7
3x + 6y = 12
If (x, y) is the solution to the given system of equations, what is the value of x ?

Albedos of Various Earth Surfaces

An albedo is the amount of light reflected from a surface divided by the amount of light falling on the surface. The amount is typically measured in watts per square meter. The table shows the minimum and maximum albedos for different types of surfaces on Earth.
In a desert region, the amount of sunlight falling on a surface with an area of one square meter is 1,000 watts. Which of the following could be the amount of sunlight, in watts, reflected from this one-square-meter surface?

For a certain group of fish, the graph models the relationship between body length L, in centimeters (cm), and tail area A, in square centimeters $open parentheses c m to the power of 2 end exponent close parentheses$ , where $6 less or equal than L less or equal than 34$ . Which equation represents the relationship between body length and tail area?

Solving quadratic equations using a graph is an effective method for locating estimated solutions or roots for quadratic equations or functions.
The real roots of a quadratic function might be zero, one (repeated), or two. Finding the origins involves solving a quadratic equation with the right-hand side equal to zero, such as ax² + bx + c = 0.
Points to consider to solve a quadratic equation using a graph :
• Rearrange the equation so that one side corresponds to the graphed function.
• Plot the function y= the other side of the equation.
• To find the solutions, draw vertical lines down to the x-axis from the intersection points.

For a certain group of fish, the graph models the relationship between body length L, in centimeters (cm), and tail area A, in square centimeters $open parentheses c m to the power of 2 end exponent close parentheses$ , where $6 less or equal than L less or equal than 34$ . Which equation represents the relationship between body length and tail area?

The graph of $y equals 2 to the power of x end exponent minus a$ is shown, where a is a constant. What is the value of a ?