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vagabundo [1.1K]
2 years ago
6

Which polynomial is in standard form.

Mathematics
1 answer:
garik1379 [7]2 years ago
8 0

Answer:

4- 7x^{7} y^{2} + 5x^{11} y^{5} - 3xy^{2} + 2

Step-by-step explanation:

In a standard polynomial degree drops from left to right

so , option 4 is correct.

7x^{7} y^{2} + 5x^{11} y^{5} - 3xy^{2} + 2

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Charlie is 4 more than twice as old as Frank. Frank is 3 years younger than Bob,
marysya [2.9K]

Answer:

16

Step-by-step explanation:

x + 3= 9

x = 6

2x + 4= 2*6 + 4

2x + 4 = 12 + 4

2x + 4 =16

Charlies 16

hope it helps

7 0
2 years ago
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What is the value of the function when x = −1?<br><br> Is my answer right?
kap26 [50]
The answer would be negative 2
7 0
3 years ago
You order the hardcover book shown from a website that offers free shipping on orders of $25 or more. Write and solve an inequal
jenyasd209 [6]

Answer:

If P= price of the hardcover book, then

We have to spend $25-P, if P<$25; or $0 if P>= $25

Step-by-step explanation:

Lets call P the price of the hardcover book, in $. We can suppose that P is less than 25, otherwise we shoudnt spend on anything else to get the free shipping. If X is the amount that we have to spend to reach 25, then we get that P+X = 25. If P is known, we can obtain X by substracting P in both sides, therefore

X = 25-P

We conclude that if the price of the book P is less than 25, then we have to spend $25-P. Otherwise we have to spend 0.

6 0
3 years ago
Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A
belka [17]

Answer:

a) y=0.00991 x +1.042  

b) r^2 = 0.7503^2 = 0.563

c) r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

y = mx +b

Wehre

m=\frac{S_{xy}}{S_{xx}}  

And:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625  

And the slope would be:  

m=\frac{625}{63085.714}=0.00991  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429  

\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7  

And we can find the intercept using this:  

b=\bar y -m \bar x=7-(0.00991*601.429)=1.042  

And the line would be:

y=0.00991 x +1.042  

Part b

The correlation coefficient is given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=7 \sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354  

r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

The determination coefficient is given by:

r^2 = 0.7503^2 = 0.563

Part c

r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

4 0
3 years ago
If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B).
Korolek [52]

Answer:

P(A or B) = 25%

Step-by-step explanation:

P(A and B) = 30%

P(A) = 40%

P(B) = 15%

Apply given formula:

P(A or B) = P(A) + P(B) - P(AB)

= 40%+15+-30%

= 25%

8 0
3 years ago
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