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sertanlavr [38]
3 years ago
11

Quadratic fucntion is represented by y=4(4x+1)^2+3. what is the equivalent form of this fuction.

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

64x^2+32x+7

Step-by-step explanation:

(4x+1)2= (4x+1)(4x+1)=16x^2+8x+1

4(16x^2+8x+1)=3

64x^2+32x+4+3

64x^2+32x+7

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Ryan spent $3.25 on lunch every day, Monday through Friday. If he had $20 at the start of the week, how much money did he have l
shusha [124]

Monday through Friday is 5 days.

Multiply the cost of lunch by number of days:

3.25 x 5 = $16.25

Subtract the total he spent on lunch from what he started with for money:

20 - 16.25 = 3.75

He had $3.75 left.

6 0
3 years ago
Read 2 more answers
A<br> Write an explicit formula for an, the nth term of<br> the sequence 17, 15, 13, ...
yawa3891 [41]

Tn=-2n+19

Step-by-step explanation:

Well in south africa we use Tn

Tn=a+(n-1)d

a=is the first term in the sequence which is 17

d=is the the difference between the terms which is - 2

Tn=17+(n-1)(-2)

Tn=17-2n+2

Tn=-2n+19

3 0
3 years ago
Evaluate the expression when g=7 and h= 5 8h + g
trapecia [35]

Answer: 47

Step-by-step explanation:

we simply substitute g for 7 and h for 5.

8(5) + 7

40 + 7

47

7 0
3 years ago
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Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of
tatyana61 [14]

Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

For this problem, the parameters are given as follows:

\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:

X = 16:

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

By the Central Limit Theorem

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

Z = \frac{16 - 15}{0.4743}

Z = 2.11

Z = 2.11 has a p-value of 0.9826.

X = 15:

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

Z = \frac{15 - 15}{0.4743}

Z = 0

Z = 0 has a p-value of 0.5.

0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0
2 years ago
If lena is making 10.5B dollars a year how many years will it take lena to make 100B dollars?
PIT_PIT [208]
100/10.5= 10
hope this helps

4 0
3 years ago
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