When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step? \text{Original Equation:}
Original Equation:
-2(7x^2-1)+6 =
−2(7x
2
−1)+6=
\,\, 8x^2-10
8x
2
−10
\text{First Step:}
First Step:
(7x^2-1)-3 =
(7x
2
−1)−3=
\,\, -4x^2+5
−4x
2
+5

Which ordered pair (c,d) is a solution to the given system of linear equations- c+2d=13 -9c-4d=-15

Abouncy ball is released from a certain height. on the first bounce, it travels 32cm. with each subsequent bounce, it travels 9/10 the distance of the previous bounce. what is the total distance that the ball has traveled when it completes its 25th bounce?

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?