Answer:
Look below :)
Step-by-step explanation:
1. coefficient
2. constant (it's referred to as a constant because the value never changes)
3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.
4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.
5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.
6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)
7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.
8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.
9. 2 - 7 + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.
10. -4 + 2xy + 5x + 7.
I hope this helps :)
Answer: 9 7/12 hours
Step-by-step explanation: To solve this problem we will simply add 4 1/3 to 5 1/4. first we will need to make the denominators the same. The denominator that will work for both numbers is 12.
So, multiply the denominator and numerator in 4 1/3 by 4 to get 4 4/12 and multiply the denominator and numerator in 5 1/4 by 3 to get 5 3/12.
Now simply add the two hours together.
4 4/12 + 5 3/12 = 9 7/12
So Nita spend 9 7/12 hours studying.
Answer:
the amount received in change is $0.70
Step-by-step explanation:
The computation of the amount received in change is shown below:
= Given amount - purchased amount
= (3 × 50 + 4 × 20 + 4 × 5) - $249.30
= (150 + 80 + 20) - $249.30
= 250 - 249.30
= $0.70
Hence, the amount received in change is $0.70
Answer:
24 cm
Step-by-step explanation:
in rhombuses, the rule is that all sides are the same length which means 3x - 6 = x + 14. then, you just have to solve this:
3x - 6 = x + 14
subtract x from both sides
2x - 6 = 14
add 6 to both sides
2x = 20
divide both sides by 2
x = 10.
to find the length of each side, plug this back into the original side length expressions:
3x - 6 becomes 3 * 10 - 6 = 30 - 6= 24 cm
<em>the length is 24 cm.</em>
Answer:
The limit that 97.5% of the data points will be above is $912.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the limit that 97.5% of the data points will be above.
This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.
So
The limit that 97.5% of the data points will be above is $912.