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inn [45]
3 years ago
12

What is the x-coordinate of the vertex of the parabola whose equation is y = 3x^2 + 12x + 5?

Mathematics
2 answers:
Genrish500 [490]3 years ago
8 0

Answer:

(-2,-7)

Step-by-step explanation:

melamori03 [73]3 years ago
7 0

Answer:

x= -2

Step-by-step explanation:

-b/2a = x

-(12)/2(2) = x

-12/6 = x

-2 = x

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On day two of a study on body temperatures, 106 temperatures were taken. Suppose that we only have the first 10 temperatures to
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Answer:

The 95% confidence interval = (98.225, 98.655)

Step-by-step explanation:

The formula for Confidence Interval =

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Where Mean = 98.44°F

Standard deviation = 0.30°F

n = number of samples is 10

Because our number if samples is small, we use the t score confidence interval formula

Mean ± t × standard deviation/√n

Degrees of Freedom = n - 1

= 10 - 1 = 9

We find the t score of 95% confidence interval and degrees of freedom 9

= 2.262

Hence,

Confidence interval = 98.44 ± 2.262 × 0.30/√10

= 98.44 ± 0.214592162

Confidence Interval

98.44 - 0.214592162

= 98.225407838

≈ 98.225

98.44 + 0.214592162

= 98.654592162

≈ 98.655

The 95% confidence interval = (98.225, 98.655)

5 0
3 years ago
If a square is approximately 4.25 inches and there is 2.54 centimeters in a inch how long is each side of the square in centimet
ludmilkaskok [199]
10.795 square centimeters
7 0
3 years ago
Find the length of leg a in a right triangle with leg b= 4 and hypotenuse C =5
Korolek [52]

Answer:

Leg A = 3

Step-by-step explanation:

You use the equation A squared plus B squared equals C squared. Then, you substitute the value that you have, so the equation would be a squared plus 3 squared equals 5 squared. Next, you square the two values to make the equation a squared plus 16 equals 25. After that, you subtract one of the values (which in case is 16) on both that leg value and the hypotenuse, so you are left with A squared equals 9. Finally, you square both 9 and A squared and you are left with A = 3. I hope that helps you understand it clearly!

8 0
3 years ago
Suppose Johnny invests $41,745 into an account, which has been earning interest for many years and he now has a total of $39,974
Alex
A negative number wouldn't be reasonable in investments because when you invest you are adding money to something. If you invest you aren't removing anything so there can't be negative numbers.
6 0
3 years ago
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What is the median?<br> Points scored by the soccer team:<br> 3, 7, 15, 10, 2, 9, 12, 5
lara [203]

Answer:

3,5,7,9,10,12,15 and 9 would be your median

Step-by-step explanation:

4 0
3 years ago
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