Parallelogram P was dilated to form parallelogram P prime. Parallelogram P has side lengths of 10 and x + 3. Parallelogram P prime has side lengths of 20 and 8.

What is the value of x? (Figures not drawn to scale.)

In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ? x - 36

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to

Given the quadratic function f(x)=3x^2-24x+49 a. use “completing the squares” to convert the quadratic function into vertex form b. state the vertex c. find the x and y intercepts d. graph the function