If y = x² + ax + a , where a is a constant, and y = 11 when x = 1 , what is the value of a ?

A market researcher selected 200 people at random from a group of people who indicated that they liked a certain book. The 200 people were shown a movie based on the book and then asked whether they liked or disliked the movie. Of those surveyed, 95% said they disliked the movie. Which of the following inferences can appropriately be drawn from this survey result?

That is to say, if we sampled this pool, we could not extrapolate that to the entire pool. For example, if you randomly selected twenty students from your class and discovered that 8% of them enjoy chocolate ice cream, this does not imply that 80% of the world enjoys chocolate ice cream. Okay, so then, we know that at least 95 percent of the people who go to the movies will dislike this movie. That's not certain because that's an extrapolation. After all, once again, we only asked two hundred people, so we can ask if everyone who reads the book will dislike the movie.
It is stated that most people who disliked the book will enjoy this movie. That is incorrect because it states that 95% of people opposed the film. That's not correct. Most people who liked the book will dislike the movie. So, that should be D.

A care-sharing service charges $6 per hour to rent a car plus a $10 fee for insurance. Which of the following gives the total cost c, in dollars, of a rental that lasts t hours?

What is the solution to the equation above?

A certain package requires 3 centimetres of tape to be closed securely. What is the maximum number of packages of this type that can be secured with 6 meters of tape? (1 meter = 100 cm)

If for all positive values of x, what is the value of ?

(x² - 3) – (- 3x² + 5) Which of the following expressions is equivalent to the one above?

The points plotted in the coordinate plane above represent the possible numbers of wallflowers and cornflowers that someone can buy at the Garden the Store in order to spend exactly $24.00 total on the two types of flowers. The price of each wallflower is the same and the price of each cornflower is the same. What is the price, in dollars, of 1 cornflower? (Disregard the $ sign when gridding your answer. For example, if your answer is $9.87, grid 9.87 )

x + x = 9
What value of x satisfies the equation given?

Feeding Information for Boarded Pets

The table above shows the kinds of foods that are fed to the cats and dogs currently boarded at a pet care facility. What fraction of the dogs are fed only dry food?

ax + by = b
In the equation above, a & b are constants and 0 < a < b. Which of the following could represent the graph of the equation in the xy-plane?

(7532 + 100 y²) + 10 (10 y² – 110) The expression above can be written in the form
ay² + b , where a and b are constants. What is the value of a + b ?

h(t) = -16t² + 48t +72
If air resistance is ignored, the function h defined above models the height above ground, in feet, of a toy rocket t seconds after it is launched from the roof of building. Based on the model, what is the height above ground, in feet, of the toy rocket 1 second after launch?

What is the sum of the solutions to the given equation?

A pizza parlor sells pizza slices for $ 3 each and calzones for $ 4 each. A group of friends spent $ 51 on pizza slices and calzones at the parlor. If they bought 6 calzones, how many pizza slices did they buy?

The graph of a line in the x y-plane passes through the point (1, 4) and crosses the x-axis at the point (2, 0) . The line crosses the y-axis at the point (0, b) . What is the value of b ?