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charle [14.2K]
3 years ago
15

Write y = 3x2-12x +11 in vertex form. please show work

Mathematics
2 answers:
MaRussiya [10]3 years ago
6 0

Answer:

y = 3 ( x − 2 ) 2 − 1

Step-by-step explanation:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2 - 4x + 5 into vertex form, and state the vertex. Equation in y = ax2 + bx + c form.

Very glad I was able to assist you even though you're pretty rude.

Gage's customer service: 5 stars

Studentka2010 [4]3 years ago
4 0
Ohhh ok so im actually not sure if I’m doing this right but if I remember correctly.. there has to be a squared binomial so heres my answer:

3(x-2)^2-1 and the vertex is (2,-1)

Now im not completely sure if I’m right but basically what I did was get a squared binomial and added and multiplied to it to make it equal to the previous trinomial.

Sorry if I’m wrong. Hope this helps some.
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The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5 . Suppose 49 golfers p
Nadya [2.5K]

Answer:

The probability that the average score of the 49 golfers exceeded 62 is 0.3897

Step-by-step explanation:

The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5

\mu = 61

\sigma = 3.5

We are supposed to find he probability that the average score of the 49 golfers exceeded 62.

Formula : Z=\frac{x-\mu}{\sigma}

Z=\frac{62-61}{3.5}

Z=0.285

Refer the z table for p value

p value = 0.6103

P(x>62)=1-P(x<62)=1-0.6103=0.3897

Hence the probability that the average score of the 49 golfers exceeded 62 is 0.3897

7 0
3 years ago
If CP =Rs. 9,000 and SP= Rs. 8,584 then Profit / loss amount is
Gemiola [76]

Answer: Loss = Rs. 416

Step-by-step explanation:

Since CP is more than SP, it is a loss.

Loss = CP - SP

Loss = 9000 - 8584

Loss = 416

8 0
3 years ago
2x²-26x+84 (Factor COMPLETELY)
Nadya [2.5K]

\tt{} {2x}^{2}  - 26x + 84

\tt{}2 {(x}^{2}  - 13x + 42)

\tt{}2 {(x}^{2}  - 6x - 7x + 42)

\tt{}2( x \times (x - 6) - 7(x - 6))

\tt{}2(x - 6) \times (x - 7)

5 0
3 years ago
Brandon is playing hide-and-seek with Katy and Tony. Katy is hiding 63 feet south of Brandon, and Tony is hiding due east of Kat
sergij07 [2.7K]

Answer:

60 feets

Step-by-step explanation:

Given that :

Using Pythagoras rule :

Hypotenus = sqrt(Adjacent^2 + opposite^2)

From the attached picture :

x² = 87^2 - 63^2

x^2 = 7569 - 3969

X^2 = 3600

Take the square root of both sides :

X = sqrt(3600)

X = 60 feets

Hence, Katy and Tony are 60 feets apart

6 0
3 years ago
The angle measures associated with which set of ordered pairs share the same reference angle? (Negative StartFraction StartRoot
Katarina [22]

Answer:

(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)

Step-by-step explanation:

The reference angle is the angle that the given angle makes with the x-axis.

For an ordered pair to share the same reference angle, the x and y coordinates must be the same or a factor of each other.

From the given options:

(A)\left(-\dfrac{\sqrt{3} }{2} ,-\dfrac{1 }{2}\right)$ and \left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)\\\\(B)\left(\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(-\dfrac{\sqrt{3} }{2}, \dfrac{1 }{2}\right)\\\\(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)\\\\(D)\left(\dfrac{\sqrt{3} }{2},\dfrac{1 }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)

We observe that only the pair in option C has the same x and y coordinate with the second set of points being a negative factor of the first term. Therefore, they have the same reference angle.

5 0
3 years ago
Read 2 more answers
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