All categories

3 years ago

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.

You might be interested in

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