Complete the equation: x^2 - 14x + __ = (_) ^2

Given the equation 5x - 4 = - 2 (3x + 2), solve for the variable. Explain each step and justify your process.

If g (x) = 4x^2-16 were shifted 5 units to the right and 2 down

The area of a rectangular doghouse floor is 15 square feet. The length of the floor is five feet. What is the perimeter of the floor of the doghouse?

The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball.

Quadric formula to solve 9x^2+6x-17=0

Two lines, parallel to the bases of a trapezoid divide each leg into three congruent parts and divide the trapezoid into three parts as well. Find the area of the middle part if the top and bottom parts have area S1 and S3.

Robin is making bows to sell at her mother's yard sale. She will use 3/4 foot of red ribbon and 2/3 foot of blue ribbon to make each bow. What is the ratio of the length of red ribbon to blue ribbon?

Explain why the polynomial 144x2 - 200x + 81 is not a perfect square. A. 81x ≠ 2 (20x ∙ 9) B. 144x ≠ 2 (20x ∙ 12) C. 200x ≠ 2 (9x ∙ 12) D200x ≠ 2 (12x ∙ 9)

Two factors of - 48 have a difference of 19. The factor with a greater absolute value is positive. What is the sum of the factors? a. - 19 b. - 13 c. 13 d. 16

1.) A population of 4,250 blue whale. A random sample of 10 whales shows that 5 of them are infected. How many whales are likely to be infected?