Rewrite the sentences using the frequency adverbs on the left. 1. (sometimes) Joshua is in trouble for talking too much.

2. (always) That is why he is at the gym every day.

3. (often) Emma is hungry right after breakfast.

4. (seldom) My friends and I eat at fast food restaurant.

5. (always) We turn in our homework on time.

6. (never) Jane and her sister are absent from school.

7. (usually) The students are on time for class.

8. (sometimes) The teacher brings candies for us.

9. (rarely) My parents eat out with friends

10. (often) Peter works with difficult people.

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Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

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

Aflagpole broke in a storm. it was originally 8 1 81 feet tall. 2 8 28 feet are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground some distance away. how far away is the end of the pole from the base of the pole along the ground?