Expand the expression 2(r - 4) + 5(r + 2). Express your answer in simplest form

Answers

Answer 1

Answer: $2(r - 4) + 5(r + 2) =2r-8+5r+10=7r+2$

Answer 2

Answer: 2r-8+5r+10 so 8r+2 would be the final answer

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The Panthers team won exactly 2 of its first 9 games. By winning all its remainming N games, the Panthers ended with the victories in exactly half of the game it played. What number does N represent?

Answers

The correct answer would be 7 because they played 2 out of the 9 games there for meaning the remaining would equal 7 hope i helped

Im pretty sure its 7

Please help fast! Sherman deposited $3000 in an account paying 8% interest compounded annually. He withdrew his money and interest 3 years later. How much did he withdraw?

Answers

The formula A = P (1 + r) ^ t will help, given that
A = the future value at withdraw
P = the initial deposit
r = the annual interest rate (decimal)
t = the number of years the money is invested for
so the equation is A = 3000 (1.08) ^ 3, which is $3779.14

He withdrew $3720. Use the formula I ( interest)= prt (principle, rate, time), and then add the interest earned to what he originally deposited.

Solve by adding and subtracting rational expressions. (3x)/(5xy^(4))+(6x^(2))/(15x^(2)y) Remember to show your work!

Answers

Answer:

Step-by-step explanation:

$(3x)/(5xy^(4))+(6x^(2))/(15x^(2)y)=(3)/(5y^(4))+(6)/(15y)\n\n=(3)/(5y^(4))+(2)/(5y)\n\n=(3)/(5y^(4))+(2*y^(3))/(5y*y^(3))\n\n=(3)/(5y^(4))+(2y^(3))/(5y^(4))\n\n=(3+2y^(3))/(5y^(4))$

The length of the track at talladega superspeedway is 2.66 miles. If the race is 188 laps long , how many kilometers do the drivers cover in 1 race ? Please help

Answers

Answer:

Step-by-step explanation:

Final answer:

The drivers in the race at Talladega Superspeedway cover a distance of approximately 803.63 kilometers in a 188-lap race.

Explanation:

The total distance covered in the race in miles can be computed by multiplying the length of a single track (2.66 miles) by the number of laps (188 laps). That gives 499.68 miles. This value is then converted to kilometers by using the fact that 1 mile is approximately equal to 1.60934 kilometers. Therefore the total distance in kilometers is computed as 499.68 miles * 1.60934 km/mile which is approximately 803.63 kilometers.

To convert miles to kilometers, we can use the conversion factor 1 mile = 1.60934 kilometers. Therefore, the total distance covered in one race at Talladega Superspeedway is 2.66 miles x 1.60934 kilometers/mile = 4.28 kilometers. Since the race is 188 laps long, we can multiply the distance covered in one lap by 188 to find the total distance covered in one race. So, the drivers cover a total of 4.28 kilometers/lap x 188 laps = 805.04 kilometers in one race.

Learn more about Distance conversion here:

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What is the discriminant of the quadratic equation 3 - 4x = -6x^2-68
-56
76
88

Answers

Answer: B) -56

Step-by-step explanation: In a quadratic equation, the discriminant helps tell you the number of real solutions and it is:

$b^(2) -4ac$

To calculate the discriminant of the given equation, we need to write it in the standard form (we equal it to zero):

$6x^(2) -4x+3=0$

here we can see that a=6; b=-4; and c=3

so the discriminant would be:

$(-4)^(2) -4*6*3$ =

16-72=-56

The discriminant is -56.

The discriminant is found using

b²-4ac, after the quadratic is in standard form. First, we will add 6x² to both sides to write it in standard form:
3-4x=-6x²
3-4x+6x²=-6x²+6x²
6x²-4x+3=0

We can now see that b=-4, a=6 and c=3:

(-4)²-4(6)(3)
16-72
-56

What is the difference between discrete and continuous data? (Bar charts)

Answers

Discrete data
This data set shows a group of discrete data.
This is called discrete data because the units of measurement (for example, CDs) cannot be split up; there is nothing between 1 CD and 2 CDs.

Continuous data
The data set shows a group of continuous data.
This data is called continuous because the scale of measurement - distance - has meaning at all points between the numbers given, eg we can travel a distance of 1.2 and 1.85 and even 1.632 miles.
Continuous data can be shown on a number line, and all points on the line have meaning and are different, but with discrete data only certain values have meaning.

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