What is the vertex of the graph of the equation y= 3x^2+6x+1

Answers

Answer 1

Answer: $y=a(x-h)^2+k \Rightarrow \hbox{vertex}=(h,k)\ny= 3x^2+6x+1\n y=3x^2+6x+3-2\n y=3(x^2+2x+1)-2\n y=3(x+1)^2-2\Rightarrow h=-1,k=-2\n\n (-1,-2)$

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PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

2/1 or 2

Step-by-step explanation:

m(slope)= y2-y1/ x2-x1

i hope this helps

The perimeter of a rectangle is twice the sum of its length and its width. The perimete is 28 meters and its length is 2 meters more than twice its width. What is its length?

Answers

Let l be length and w be width.
So the problem already gave you what a perimeter is, which is 2l + 2w.
Now it says perimeter is 28, so 2l + 2w = 28.
Then it says length is 2 more than twice its width, so l = 2w + 2.
Now substitute.
2(2w + 2) + 2w = 28
4w + 4 + 2w = 28
6w = 24
w = 4

Now substitute w back in l = 2w + 2
l = 2(4) + 2
l = 10

Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6, 10, and 15. Is there a direct variation between a triangular number and its position in the sequence? Explain your reasoning.

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Hello,

$T_(1) =1\n T_(2) =3=1+2\n T_(3) =6=1+2+3\n T_(4) =10=1+2+3+4\n T_(5) =15=1+2+3+4+5\n...\n T_(n) =1+2+3+....+n= (n*(n+1))/(2) \n$

Answer: No, the triangular numbers are not a direct variation. There is not a constant of variation between a number and its position in the sequence. The ratios of the numbers to their positions are not equal. Also, the points (1, 1), (2, 3), (3, 6), and so on, do not lie on a line.

What is 1/4 written as a percent

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1/4 is basically 25 cents if you think of quarters. Do .25=25%

Describe how f(x)=2 cos (πx) and g(x)=2 cos (2πx) are related.

Answers

The derivative of the natural log is 1/x, therefore the derivative is 1/cos(x). However, since the value of cos(x) is submitted within the natural log we must use the chain rule. Then, we multiply 1/cos(x) by the derivative of cos(x). We get the answer: -sin(x)/cos(x) which can be simplified into -tan(x) i

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