In the xy - plane, the graph of $2 x squared minus 6 x plus 2 y squared plus 2 y equals 45$ is a circle. What is the radius of the circle?

The members of a city council wanted to assess the opinions of all city residents about converting an open field into a dog park. The council surveyed a sample of 500 city residents who own dogs. The survey showed that the majority of those sampled were in favor of the dog park. Which of the following is true about the city council's survey?

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y greater than 2 x minus 1 end cell row cell 2 x greater than 5 end cell end table$
Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?

The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of w?

Two different points on a number line are both 3 units from the point with coordinate -4. The solution to which of the following equations gives the coordinates of both points?

The table above shows a summary of 1,200 responses to a survey question. Based on the table, how many of those surveyed get most of their medical information from either a doctor or the Internet?

In sets of numbers called fractions, the top number (numerator) represents a portion related to the entire unit, and (the denominator) by the bottom number.
A ratio is similar to a fraction, where two numbers are compared. Although ratios can be written in fractional form, they are typically expressed as numbers separated by the colon symbol.
The ratio conversion into a fraction in mathematics is known as the ratio to a fraction. The ratio conveys the relative size of two or more values. The fraction similarly identifies the components of the whole. A: B or a/B are two ways to represent the ratio.

The table above shows a summary of 1,200 responses to a survey question. Based on the table, how many of those surveyed get most of their medical information from either a doctor or the Internet?

Which of the following is equivalent to $fraction numerator 4 x squared plus 6 x over denominator 4 x plus 2 end fraction$ ?

A motor powers a model car so that after starting from rest, the car travels s inches in t seconds, where $s equals 16 t square root of t$ . Which of the following gives the average speed of the car, in inches per second, over the first seconds after it starts?

$6 x minus 9 y greater than 12$
Which of the following inequalities is equivalent to the inequality above?

The vertex of the parabola in the $x y$ -plane above is . Which of the following is true about the parabola with the equation $y equals negative a left parenthesis x minus b right parenthesis squared plus c$ ?

The scatterplot below shows the amount of electric energy generated, in millions of megawatt-hours, by nuclear sources over a 10 -year period.

Of the following equations, which best models the data in the scatterplot?

If the interest is compounded half-yearly, calculate the amount when the principal is Rs7400, the rate of interest is 5% per annum and the duration is one year.

A person invests Rs10000 for two years at a certain rate of interest compounded annually. At the end of one year, the sum amounts to Rs12000. Calculate (i). the rate of interest per annum (ii) the amount at the end of the second year

A person invests Rs10000 for two years at a certain rate of interest compounded annually. At the end of one year, this sum amounts to Rs11200. Calculate (i). the rate of interest per annum (ii) the amount at the end of the second year

Ramesh invests Rs12800 for three years at the rate of 10% per annum compound interest. Find (i) The sum due to Ramesh at the end of the 1^st year