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PolarNik [594]
2 years ago
11

What is the vertex of the graph of y = 3x2 + 2x + 1?

Mathematics
2 answers:
Effectus [21]2 years ago
8 0
We have that
y = 3x²<span>+ 2x + 1

step 1
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y -1= (3x²+ 2x)

step 2

Factor the leading coefficient

y -1= 3*(x²+ 2/3x)

step 3

Complete the square. Remember to balance the equation by adding the same constants to each side

y -1+(1/3)= 3*(x²+ (2/3)x+(4/36))

y-2/3=3*(x+2/6)²

the vertex is the point (-2/6, 2/3)------> (-0.33,0.67)

the answer is

(-0.33,0.67)

Drupady [299]2 years ago
4 0

Answer:

B (-1/3,2/3)

Step-by-step explanation:

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Choose the equation of the horizontal line that passes through the point (−2, −1). (4 points)
Anni [7]

Answer:

y=-1 : )

Step-by-step explanation:

(Brainliest Please)

8 0
2 years ago
Can I have help and pls don't answer if you don't know
sergij07 [2.7K]

Answer:

I think its A

Step-by-step explanation:

7 0
3 years ago
Help!!!!<br>Given log7⁡3≈0.5646 and log7⁡16≈1.4248, evaluate the expressions.​
Alinara [238K]

Answer:

a)  0.356

b)  1.1397

Step-by-step explanation:

a) log₇2

  • log(2) / log(7)
  • 0.356

b) log₇ (¹⁴⁷/₁₆)

  • <u>log (¹⁴⁷/₁₆)</u>

          log (7)

  • 1.1397
6 0
2 years ago
Hộp đựng 3 bi đỏ, 5 bi trắng và 7 bi xanh lấy ngẫu nhiên 2 bi. Tính xác suất? a, Có 1 bi đỏ trong 2 bi lấy ra b, Có ít nhất 1 bi
Vikentia [17]

Answer:

a) 3C1 * 12 C1 / 15 C2

b)  1 - 12C2 / 15C2

Step-by-step explanation:

Được

Viên bi đỏ = 3

Viên bi trắng = 5

Viên bi xanh = 7

Hai quả bóng được rút ra một cách ngẫu nhiên

a) Có 1 bi đỏ

3C1 * 12 C1 / 15 C2

b) Có ít nhất 1 viên bi đỏ trong số 2 viên lấy ra.

Số kết quả của việc chọn hai quả bóng trong số 15 quả bóng = 15 C2

Số kết quả của việc chọn 0 quả bóng đỏ = 15C12

Xác suất chọn được ít nhất 1 viên bi đỏ = 1 - 12C2 / 15C2

5 0
2 years ago
URGENT WORTH 20 POINTS
Triss [41]
If we were to draw a best fit line, the y-interest would be near 15, and the slope would be negative.

In the options given, the slope is either -3 or -13. If we imagine a line through the plotted points, the rise would be about 15 while the run would be about 5. This means the slope is about -3.

The best answer is y = -3x + 15





5 0
3 years ago
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