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2 years ago

What is f(x) = 8x² + 4x written in vertex form?

1 answer:

8 0

$8x^{2}+4x\\\\=8\left(x^{2}+\frac{1}{2}x \right)\\\\=8\left(x+\frac{1}{4} \right)^{2}-8\left(\frac{1}{16} \right)\\\\\boxed{f(x)=8\left(x+\frac{1}{4} \right)^{2}-\frac{1}{2}}$

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Which situation is best represented by the equation y=5x + 10?

OLEGan [10]

Answer:

x=1/5y-2

Step-by-step explanation:

Step 1: Flip the equation

5x+10=y

Step 2: Add -10 to both sides

5x+10+-10=y+-10

5x=y-10

Step 3: Divide both sides by 5.

5x/5 =y-10/5

x=1/5y-2

4 0

3 years ago

The March 11, 2011, earthquake in Japan caused a tsunami that crashed into the (cant say on here because it looks like a bad wor

Lesechka [4]

A radioactive atmosphere around the area and an expensive, hard time cleaning everything up.

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2 years ago

T object]user: find two consecutive integers whose sum is 113.

8090 [49]

Take 2x and add 1 to equal 113
2x+1=113

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3 years ago

HELP ME PLEASE!!! :)

Oliga [24]

Answer:

23. 5,200

24. 8,700

25. 10

26. 80

27. 0.83

28. 9.03

29. 17

30. 8,523

31. 790

32. 58.02

33. 2,708

34. 8.18

35. 2,930

36. 25,800

37. 3,032

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39. 42

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Step-by-step explanation:

Hope this helps! :)

3 0

3 years ago

(05.02)

Delvig [45]

Answer:

$y=\frac{1}{2}x+3$

Step-by-step explanation:

Let the equation of the line be: $y=mx+b$

where m is the slope and b is the y-intercept.

The given straight line has a y-intercept at $b=3$

The equation is of the form $y=mx+3$

The line passes through the point (2,4).

Let us substitute x=2, and y=4 to find the value of m.

$4=m(2)+3$

$4=2m+3\\4-3=2m\\1=2m\\m=\frac{1}{2}$

The slope is $m=\frac{1}{2}$

Hence the equation of the line is $y=\frac{1}{2}x+3$

4 0

3 years ago