What is the discriminant of 3x^2+6x=2

Answers

Answer 1

Answer: $ax^2+bx+c=0\n\nthe\ discriminant:\Delta=b^2-4ac\n============================\n\n3x^2+6x=2\ \ \ \ \ |subtract\ 2\ from\ both\ sides\n\n3x^2+6x-2=0\n\na=3;\ b=6;\ c=-2\n\n\Delta=6^2-4\cdot3\cdot(-2)=36+24=\boxed{60}\leftarrow answer$

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Shaniqua starts a bank account with a $120 deposit. By the end of 12 months, she hopes to have saved $900. She knows that she can save $30 per month from her paycheck, but can earn some extra money by tutoring on the weekend. How much extra per month does Shaniqua need to save in order to meet her goal? Select the equation that best represents this situation and solution.A.120 + 12(30 + x) = 900; $35 B.120 + 12(30 + x) = 900; $420 C.120 + 12(30) + x = 900; $35 D.120 + 12(30) + x = 900; $420

A can of soup is in the shape of a cylinder. The diameter of the can is 8 centimeters, and the height is 10 centimeters. What is the surface area of the can, rounded to the nearest hundredth square centimeter? (Use 3.14 for π.) 351.68 cm 2 251.2 cm 2 502.4 cm 2 100.48 cm 2

Answers

Answer:

The surface area of the can is $351.68\ cm^(2)$

Step-by-step explanation:

we know that

The surface area of a cylinder (can of soup) is equal to

$SA=2\pi r^(2)+\pi Dh$

we have

$r=8/2=4\ cm$ ----> the radius is half the diameter

$D=8\ cm$

$h=10\ cm$

substitute the values

$SA=2(3.14)(4^(2))+(3.14)(8)(10)$

$SA=100.48+251.2=351.68\ cm^(2)$

Answer:

351.68 is ur answer

Step-by-step explanation:

The distribution of GPAs is normally distributed with a mean of 2.7 pounds and a standard deviation of 0.3. Approximately what percentage of students has GPAs above 3.0?

Answers

The best answer to this statistic question would be 15.7% or, if rounded off, 16%. This is because those students who have GPAs are approximately at least 1 standard deviation away from the mean and more - which means that 84% of the GPAs are less then 3 pounds. I subtracted 84 from 99.7 (which is the whole distribution's percentage) and came up with 15.7.

The ratio of boys to girls in history class is 4 to 5. How many girls are in the class if there are 12 boys in the class?

Answers

$4x-\ amount\ of\ boys\n5x-\ amount\ of\ girls\n\n4x=12\ \ \ | fivide\ by\ 4\nx=3\n\n5x=5*3=15\n\nThere \ are\ 15 \ girls \ in\ class.$

Final answer:

In a class where the ratio of boys to girls is 4 to 5, if there are 12 boys, there would be 15 girls.

Explanation:

The subject of this question is mathematics, specifically the topic of ratios and proportions. To answer your question, the ratio of boys to girls is 4 to 5, this means that for every 4 boys in the class, there are 5 girls. If there are 12 boys, you simply multiply each side of the ratio by the same factor to keep the ratio the same. Since 12 divided by 4 equals 3, we also have to multiply 5 by 3. Hence, there are 15 girls in the class.

Learn more about Ratio and Proportion here:

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122213434234=13341612356=??

Answers

Answer:

1226778109

Step-by-step explanation:

What is the answer to 7n-2(n+5)< 3n-16

Answers

7n-2(n+5)< 3n-16 / -3n-16
7n-2(n+5)-3n+16<0
5n-3n-10+16<0
2n-10+16<0
2n+6<0 / -6
2n< -6 / :2
n< -6/2
n< -3
nє(-∞:-3)

7n-2(n+5)< 3n-16
7n-2n+10<3n-16 Distribute the 2 into n+5
5n+10<3n-16 Subtract like figures
5n-3n+10<3n-3n-1 Subtract 3n from each side. (You want the variable on ONE side.)
2n+10-10<-16-10 Isolate the variable. Negative plus negative= bigger negative.
2n/2< -26/2 Negative divided by positive= smaller negative. Divide by 2 to isolate.
n<-13

10+3(2xz+3y)2xz what's the answer.

Answers

$10+3(2xz+3y)\cdot 2xz=10+(6xz+9y)\cdot 2xz=\n \n=10+12x^2z^2+18xyz$

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