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3 years ago

Write a polynomial equation with integer coefficients that has the given roots.

Mathematics

1 answer:

stealth61 [152]3 years ago

6 0

Answer:

y³+y²-30y=0

Step-by-step explanation:

(y-0)(y+6)(y-5)=0

y(y+6)(y-5)=0

y(y²-5y+6y-30)=0

y³+y²-30y=0

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Marking brainliest <br><br> Are you against animal testing? If so, why?

frozen [14]

Answer:

I actually don't know where I stand. I'm kind of pro-animal testing but then at the same time I'm against it.

So I'm pro-animal testing because we need to test animals to have a cure for diseases or just vaccines in general. I'm against animal-testing because it is very cruel and I don't think any animal deserve that.

Step-by-step explanation:

7 0

3 years ago

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As low tide came in, the ocean dropped by a rate of 12 inches every 3 minutes. Write a rational # describing this rate.

RSB [31]

You can write every speed as the ratio between the space and time, so in this case you have

$\dfrac{12\text{ inches}}{3\text{ minutes}} = 4\ \dfrac{\text{inches}}{\text{minute}}$

8 0

3 years ago

"Select the equation of the least squares line for the data: (34.0, 1.30), (32.5, 3.25), (35.0, .65), (31.0, 6.50), (30.0, 5.85)

yulyashka [42]

Answer:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

Step-by-step explanation:

We assume that the data is this one:

x: 34.0, 32.5, 35.0, 31.0, 30.0, 27.5, 29.0

y: 1.30, 3.25, 0.65, 6.50, 5.85, 8.45, 6.50

Find the least-squares line appropriate for this data.

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

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

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

So we can find the sums like this:

$\sum_{i=1}^n x_i = 34.0+ 32.5+ 35.0+ 31.0+ 30.0+ 27.5+ 29.0
=219$

$\sum_{i=1}^n y_i =1.3+3.25+0.65+6.5+5.85+8.45+6.5=32.5$

$\sum_{i=1}^n x^2_i = 34.0^2+ 32.5^2+ 35.0^2+ 31.0^2+ 30.0^2+ 27.5^2+ 29.0^2
=6895.5$

$\sum_{i=1}^n y^2_i =1.3^2+3.25^2+0.65^2+6.5^2+5.85^2+8.45^2+6.5^2=202.8$

$\sum_{i=1}^n x_i y_i =34*1.3 + 32.5*3.25+ 35*0.65+ 31*6.5+30*5.585 +27.5*8.45 +29*6.5=970.45$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6895.5-\frac{219^2}{7}=43.929$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=970.45-\frac{219*32.5}{7}=-46.336$

And the slope would be:

$m=-\frac{46.336}{43.929}=-1.055$

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

$\bar x= \frac{\sum x_i}{n}=\frac{219}{7}=31.286$

$\bar y= \frac{\sum y_i}{n}=\frac{32.5}{7}=4.643$

And we can find the intercept using this:

$b=\bar y -m \bar x=4.643-(-1.055*31.286)=37.643$

So the line would be given by:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

5 0

4 years ago

There are a total of 78 baseball and football cards in a box. The ratio of baseball cards to football cards 8 to 5. How many bas

Ierofanga [76]

8 baseball cards + 5 football cards= 13 cards
8 baseball cards per every 13 total cards.
78÷13=6
6×8= 48
48 Baseball Cards in total

7 0

4 years ago

Read 2 more answers

The price of a coat increased from $78 to $92. What is the price increase percentage?

blagie [28]

Answer:

18%

Step-by-step explanation:

Since the original price is $78 then this is the original 100% of the price. The new price will be marked up x percent and be $92. To find the new price set up a proportion with these values:

$\frac{92}{78}=\frac{x}{100}$

Solve for the original price by cross multiplying numerator with denominator.

x(78) = 92(100)

78x = 9200

x= 117.9 = 118%

This is 18% more or over the original price.

5 0

3 years ago