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german
3 years ago
13

Factor k3 + 1 completely.​

Mathematics
2 answers:
Ber [7]3 years ago
7 0

Answer:

(k+1)(k²-k+1)

Step-by-step explanation:

sweet [91]3 years ago
6 0

Answer:

same as the answer of her/him

Step-by-step explanation:

hahaajjajanzznsj I need points

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Write the function that describes a parabola that has a vertex at (3,-4) and goes through the point (5,-12).
Anna007 [38]

Answer: The answer is f(x) = - 2x²+12x-22.


Step-by-step explanation:  We are given to write the function describing a parabola with vertex (3, -4)  and passing through the point (5, -12).

We know that the standard form of a parabola with vertex (h, k) is given by

f(x)-k=a(x-h)^2.

Here (h, k) = (3, -4), so we have

f(x)-(-4)=a(x-3)^2\\\\\Rightarrow f(x)+4=a(x-3)^2.~~~~~~~~~~~(I)

Also, the parabola is passing through the point (5, -12), so

-12+4=a(5-3)^2\\\\\Rightarrow -8=a\times 4\\\\\Rightarrow a=-2.

Substituting the value of 'a' above in equation (I), we have

f(x)+4=-2(x-3)^2\\\\\Rightarrow f(x)=-2(x^2-6x+9)-4\\\\\Rightarrow f(x)=-2x^2+12x-22.

Thus, the answer is f(x) = - 2x²+12x-22..

3 0
3 years ago
Mr.Lee’s plant is 5 1/2 inches tall. It’s is 1 7/10 inches taller than sally plant.
yanalaym [24]

Answer:

Decimal Form 4.8. Simplified Fraction Form: 4 4/5.

Step-by-step explanation:

You would subtract 5 1/2-7/10 and get 4 8/10. 4 8/10 simplified is 4 4/5!

I hope this helps! :)

5 0
3 years ago
Graphs of the functions f and g are shown in the xy-plane. For which of the following values of x does f(x) + g(x) = 0?
pav-90 [236]

Answer:

-2

Step-by-step explanation:

The functions of f(x) and g(x) are given

For f(x)+g(x)=0 , functions f and g should be in opposite sign

We can observe that at x=−2 , f(x)=2 and g(x)=−2

Therefore f(−2)+g(−2)=0

So the correct option is D (-2)

6 0
3 years ago
What is the correct definition of the third quartile of a data set?
algol [13]
We know that 

The third quartile (also called the upper quartile) has 75 percent of the data below it and the top 25 percent of the data above it. <span>The third quartile is the same as the </span>median<span> of the part of the data which is greater than the median. 
</span>
therefore

the answer is the option
<span>C.) The third quartile is the median of the upper half of data in the data set.</span>
4 0
3 years ago
Read 2 more answers
Simplify the expression.<br> 6y + 4/15 + 9m + 1/15 + 7y - 3m =
coldgirl [10]

Answer:

13y + 1/3 + 6m

Step-by-step explanation:

6y + 4/15 + 9m + 1/15 + 7y - 3m = 6y +1/3 + 9m + 7y - 3m = 13y + 1/3 + 6m

4 0
3 years ago
Read 2 more answers
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