Answer: first option 3, - 7
Justification:
1) Given expression:9x² - 5x - 7
2) Each monomial is a term.
The monomials are each combination of numbers and letters (coefficient, letters and exponents) separated of other monomials (terms) with a + or - operator.
3) Therefore, there are 3 terms which are:
9x²,
-5x, and
-7.
The polynomials with 3 terms are called monomials.
4) The monomial (term) withoud letter is the constant. In this case that is -7.
Answer:
Option D: Absolute value function
Step-by-step explanation:
The absolute value of a number is the distance of the number from 0 to the left or right on the number line.
We are given the function;
f(x) = |2x³ - 3x| + 5
This function contains an absolute value symbol which is |2x³ - 3x|.
This function is thus illustrated by an an absolute value function because an absolute value function will be one that contains algebraic expressions within absolute value symbols.
Answer:
1. 7/10, 2. 25, 3. 1/4 4. 4. 3/5, 5. A
Step-by-step explanation:
1. Make a fraction with the total number of cards at the bottom (60) and all the cards that are not green (aka yellow and blue) on top (42). Then simplify the fraction 42/60 by dividing both terms by 6 to get 7/10
2. For this one, first find how many students out of the first 80 liked basketball by subtracting the 60 students who liked other sports from 80. This gives you 20. Now you know that 20/80 students like basketball. Now simplify the fraction to get 1/4. Then find 1/4 of 100, because we know that 1/4 of students like basketball. 1/4 of 100 is 25.
3. This problem is exactly the same as number 1, except instead of adding all the other colors and putting them as a fraction over the total, just put the number of pink shirts over the total number of shirts to get 3/12. Then simplify it to 1/4, and that's your answer.
4. This is also similar to problems 1 and 3. Just put the number of heads coin tosses over the total and simplify it.
5. This one is very similar to all the problems so far. I will let you do this one on your own. Remember: The number of cases (rolls or colors or sports or cards etc.) that you want to find the probability for goes on top, and the total number of those things goes on the bottom. The bigger the fraction, the greater probability there is.
Note: Please only ask one question at a time on here instead of 5 at once. Since these problems are so similar, chances are, you could have figured them out on your own with a little help on one of them. You are more likely to get a quick answer if the answerer doesn't have to do as much work.
Answer: Maybe 5.7
Step-by-step explanation: To solve this we are going to need to understand the pythagorean theorem. we can use it as a way to find this certain side. if we put these numbers in the theorem, we get a^2+49=81 (7^2=49 and 9^2=81), we can subtract 49 on both sides and get 32. We would also need to take out the power of 2 on the side of the a^2, so you would do the square root of a^2, which would just become a and the square root of 32, which if you crunch the numbers on a calculator. You would get 5.656..... then you round it to the nearest tenth and get 5.7.
