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Lilit [14]
3 years ago
13

Is ×+4 a factor of p(×)=x^3 -4×^2-17×+60

Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

Answer:

Yes, It is a factor

Step-by-step explanation:

<u>Step 1:  Plug in -4 to see if it is a factor</u>

p(-4) = (-4)^3 - 4(-4)^2 - 17(-4) + 60

<em>p(-4) = 0</em>

<em />

<em><u>Since it is 0, that means that it is a factor.</u></em>

<em><u /></em>

Answer:  Yes, It is a factor

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What is the nth term for the sequence 5 , 14 , 29 , 50 , 77
Marina86 [1]
The answer would be 3n^2 + 2.

This can be found/proven by replacing "n" with term number (1,2,3,4...), then solving to get the final number. For example 3 * 1^2 + 2. You would first do 1^2, which is 1. Next, you would multiply 1 by 3, to get 3. Finally, you'd and the 2 to get 5. 5 is the 1st term, and you can use this same equation to get the rest of the terms you need.

I hope this helps!
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3 years ago
A car completes a journey in 10 minutes. For the first half of the distance the speed was 60km/h and for the second half the spe
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3 years ago
Find an equation of the circle that has center (-4,3) and passes through (6,-4).
kumpel [21]

Answer:

(x+4)^2+(y-3)^2=149

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center of the circle and r is the radius of the circle.

Given that (h,k)\rightarrow(-4,3) and it passes (6,-4), their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}

Therefore, if the length of the radius is r=\sqrt{149} units, then r^2=149, making the final equation of the circle (x+4)^2+(y-3)^2=149

5 0
3 years ago
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Calculate the maximum mass of copper thar could be produced<br> from 4.0 g of copper oxide
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So, 3.55 g of copper could be made from 4 g of copper oxide.

The formula for copper oxide to convert to copper is a chemical equation Cupric oxide, or copper (II) oxide, is an inorganic compound with the chemical formula CuO.

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