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charle [14.2K]
2 years ago
15

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

Mathematics
2 answers:
MaRussiya [10]2 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]2 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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Suppose that an individual has a body fat percentage of 15.9% and weighs 159. How many pounds of her weight is made up of fat? R
Anna007 [38]

Answer:

25.3 lb

Step-by-step explanation:

We can multiply the whole by the percentage to find the part. Since 15.9% is equal to 0.159, the weight of fat is 159*0.159 = 25.281. Round this to the nearest tenth, and we get 25.3 pounds.

5 0
1 year ago
12 is 75% of what number?
wolverine [178]
For this question you should say:
75/100 = 12/? 
so the ? is your answer:
12*100/75 = 16 :)))
I hope this is helpful
have a nice day
8 0
2 years ago
Choose the pair of events that is mutually exclusive.​
barxatty [35]

Answer:

even numbers greater than 50 and prime numbers greater than 50

Step-by-step explanation:

An event can be considered as mutually exclusive in probability and statistics when two sample propositions cannot be held as true by any means. Therefore, the pair that clearly illustrates a mutually exclusive event would be "even numbers greater than 50 and prime numbers greater than 50."

The only prime number that is even is 2, so even numbers over 50 would be divisible by 2, and then not prime.  

5 0
3 years ago
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0
pshichka [43]

Answer:

(a) The value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b) The mean drying time of paint is not less than 74.

Step-by-step explanation:

The hypothesis for the single mean test is:

<em>H₀</em>: <em>μ</em> = 74 vs. <em>Hₐ</em>: μ < 74.

The information provided is:

<em>σ</em> = 7

<em>n</em> = 25

As the population standard deviation is known, we will use a <em>z</em>-test for single mean.

(a)

The <em>z</em>-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The <em>z</em>-score for sample mean is given by:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

If \bar x = 72.3 compute the corresponding <em>z</em>-score as follows:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

  =\frac{72.3-74}{7/\sqrt{25}}\\=-1.21

Thus, the value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b)

So the test statistic is, <em>z</em> = -1.21.

Compute the <em>p</em>-value of the test as follows:

p-value=P(Z

*Use a <em>z</em>-table.

The decision rule says to, reject the null hypothesis if the <em>p</em>-value is less than the significance level <em>α</em> = 0.01 and vice-versa.

<em>p</em>-value = 0.1131 < <em>α</em> = 0.01

The null hypothesis was failed to be rejected.

Thus, the mean drying time of paint is not less than 74.

6 0
2 years ago
Graph f(x) = 2 x + 3 + 2.
Tasya [4]
Hi this is the graph from desmos!

3 0
2 years ago
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