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JulijaS [17]
3 years ago
12

F (x) = 3x + 24x+50?​ Converting standard form to vertext form

Mathematics
1 answer:
Julli [10]3 years ago
8 0

Answer:

Y=3(x+4)^2+2

Step-by-step explanation:

Since vertex form is y=a(x-h)^2 +k, we need to convert 3x^2+24x+50 to something like y=a(x-h)^2+k. We can take 2 out and get 3(x^2+8x+16)+2. Then we get y=3(x+4)^2+2.

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It can be useful to find the "turning point" of each absolute value expression (where its value is zero) and graph that and some points on either side.
7 0
3 years ago
Can someone please help
mario62 [17]
The answer is B) Translation, Congruent
6 0
3 years ago
-66/22 to a decimal PLEASE I NEED THE ANSWER!!! I'LL MARK BRAINLIEST ​
maria [59]

Answer: -3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amoun
yarga [219]

Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

In this problem, the product is composed by flakes and raisins, and we have that:

\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7

Hence, the distribution for the total amount of product has <u>mean and standard deviation</u> given by:

\mu = \mu_F + \mu_R = 370 + 170 = 540

\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25

The probability that the total amount of product is less than 575 g is the <u>p-value of Z when X = 575</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{575 - 540}{25}

Z = 1.4

Z = 1.4 has a p-value of 0.9192.

0.9192 = 91.92% probability that the total amount of product is less than 575 g.

A similar problem is given at brainly.com/question/22934264

5 0
2 years ago
A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represe
Mrac [35]

Answer:

B. y= -x^2+50x-300

Step-by-step explanation:

A. y^2=4x^2-100

B. y= -x^2+50x-300

C. x=-y^2-400

D. x^2=-6y^2+200

we are to find profits (y) when the company sells x items

Option A can be used to calculate the profit (y) squared

Option B can be used to calculate profits (y)

Option C can be used to calculate items sold(x)

Option D can be used to calculate items sold squared(x^2)

We are asked to find the weekly profit (y) function which eliminate options A, C and D leaving us with option B

Therefore, the weekly profits (y) function in thousands of dollars when the company sells x items is

B. y= -x^2+50x-300

7 0
3 years ago
Read 2 more answers
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