Equations of the asymptotes of a hyperbola with a parallel transverse axis (focal axis) to the y-axis are y = −3x + 1 and y = 3x + 7. If the conjugate axis of the hyperbola measures 10 units, then we can state that one of the vertices of the hyperbola is:

Find he salar Vetor Projechou a(-3,12), b - (4,6) 13 1s

make an expression equal to 56 using four 7s and any of the symbols +,-,x,/. brackets may also be used

I am choosing an integer. I then subtract 10 from the integer, take the opposite of the result, add -3, and find the opposite of the new result. My result is - 3. a) What is the original number? b) Judy wants to do the activity with her classmates. Each classmate probably chooses a different number and Judy wants to tell each classmate quickly what number was chosen. Judy figures out that the only thing she needs to do is to add 7 to each answer she gets. Does this always work? Explain why or why not. The original number is Will adding 7 to each answer always result in the original number? Explain. O A. Yes, let x be the number and a be the answer. Then the following is true. -[-(x + −10) + −3] = a -[-x+ 10 + −3] = a -(-x + 7) = a x + 7 = a x = a +7 B. No, let x be the number and a be the answer. Then the following is true. -[-(x+10)+ - 3] = a -[-x + 10 +3] = a -(-x+13) = a x+13=a x = a + 13

In baseball a pitcher's earned run average, or ERA, 9R where R is the number of runs allowed and I is I' 8. is given by the formula E(R, I) the number of innings pitched. (a) In 2020, Gerrit Cole pitched 73 innings and allowed 23 runs. Find his ERA. (Round your answer to 2 decimal places.)