A high school soccer team has 3 freshmen, 4 sophomores, 6 juniors, and 7 seniors. Two random players will be chosen by the coach to lead the warm up. What is the probability that the coach will select a sophomore and then a senior?

Answer:

[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Discontinuities

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}[/tex]

Step 2: Simplify

When we divide (x + 2), we would have a removable discontinuity. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.

[tex]\color{skyblue}{\boxed{\tt{ANSWER:}}}[/tex]

Pre-Algebra

Order of Operations: BPEMDAS

Terms/Coefficients

Factoring

Calculus

Discontinuities

^_^ ❤

Answer:

The last one or

a+8=16

Step-by-step explanation:

Subsitute a for 8 and solve

Answer:

Step-by-step explanation:

the last one

8+8=16

a+8=16

Answer:

length=91

width=2

Step-by-step explanation:

182/2=91

91*2=182

Answer:

Step-by-step explanation:

W = 1.5t + 10

slope = 1.5

Every month, the baby gains 1.5 pounds.

Step-by-step explanation:

Price increase = $80 - $52 = $28.

Percentage increase = ($28/$52) * 100%

= 53.8% = 54%. (nearest percent)

Answer:

53%

Step-by-step explanation:

Answer:

Jackie collected 61 coins and 20 stamps

Step-by-step explanation:

Solving (a): Variable representation

Let the coins be represented with c

Let the stamps be represented with s

Solving (b): Setup equation

Total is 81. This implies that:

[tex]s + c = 81[/tex]

Also:

[tex]c = 1 + 3s[/tex]

Solving (c): Solve the system

Substitute 1 + 3s for c in [tex]s + c = 81[/tex]

[tex]s + 1 + 3s = 81[/tex]

Collect Like Terms

[tex]s + 3s = 81-1[/tex]

[tex]4s= 80[/tex]

Divide both sides by 4

[tex]s = \frac{80}{4}[/tex]

[tex]s= 20[/tex]

Substitute 20 for s in [tex]c = 1 + 3s[/tex]

[tex]c = 1 + 3 * 20[/tex]

[tex]c = 1 + 60[/tex]

[tex]c = 61[/tex]

Solving (d): Solution statement

Jackie collected 61 coins and 20 stamps

Answer: 18

Step-by-step explanation:

Answer:

s=18

Step-by-step explanation:

Solve for  s  by simplifying both sides of the equation, then isolating the variable.

Brainly pls :)

Answer:

Perpendicular H = 5.244 m (Approx)

Step-by-step explanation:

Given:

Hypotenuse = 9.4 m

Base = 7.8 m

Find:

Perpendicular H

Computation:

Perpendicular H = √Hypotenuse² - Base²

Perpendicular H = √9.4² - 7.8²

Perpendicular H = √Hypotenuse² - Base²

Perpendicular H = 5.244 m (Approx)

Answer:

4.83333333333

Step-by-step explanation:

oh boy, that wasnt very fun to type. you get the idea. its a lot of threes.

Step-by-step explanation:

[tex] {x}^{2} - 3x + 4 + 4 {x}^{2} - (x + 12)[/tex]

[tex]5 {x}^{2} - 4x - 8[/tex]

Answer:

The answer is C, -2/3

Step-by-step explanation:

9514 1404 393

Answer:

  k(w) = (w +3)²

Step-by-step explanation:

The name of the function is k, and its input is w, so the left side of the equal sign will be ...

  k(w)

This is said to be the square of the sum w+3, so the right side of the equal sign will be ...

  (w +3)²

The function equation in function notation is ...

  k(w) = (w +3)²

Answer:

k(w) = (w +3)²

I took the test

Answer: C. ∠5 and ∠6

Step-by-step explanation:

They are linear pairs meaning they form a straight line.

Angles that form a straight line are ALWAYS supplementary (they add up to 180°)

Hope this helped!

Answer:

Step-by-step explanation:

i think u got the question wrong cuz all ud have to do is add 2.4+9 which is 11.4 +4n

Answer:

-12

Step-by-step explanation:

integer rule = when a + and - comes it is indicated as - so ..

8-20 = -12

we put a minus sighnbecause 20 is the bigger number  

Answer:

-12

Step-by-step explanation:

Note the rules of the signs:

If there are two positive signs next to each other, the resulting sign will be positive. Example + (+  ).

If there is one negative sign and one positive sign directly next to each other, the resulting sign will be negative Example - (+  ) or + (-  ).

If there are two negative signs directly next to each other, the resulting sign will be positive. Example - (-  ).

In this case, there is one negative, and one positive sign. Subtract 8 with 20:

8 + (-20) = 8 - 20 = -12

-12 is your answer.

~

Answer:

Step-by-step explanation:

it is 12.5

Answer: the answer is 12.5%

Answer:

I think the answer is J

Step-by-step explanation:

Answer:

Im not sure i love fractions lol

Step-by-step explanation:

Answer:

30 times

Step-by-step explanation:

It will take 6 spoonfuls to make one cup of flour, so you multiply 6 by 5 to get 30 spoonfuls.

Hope this helps

Answer:

zero property of addition

Step-by-step explanation:

Answer:

there is 4, 8, 12, and 16. those are denominators

Answer:

Step-by-step explanation:

42x 2 = 84

52/5= 10.4

-36/9=-4

10.4+84-4=90.4

Answer:

It's D ...

hope it helps

Answer:

240.9 (241)

Step-by-step explanation:

66% of 365 is 240.9, which can be simplified to 241 days of 365.

Hey there!

The solution to the system is [tex](\frac{1}{2}, 13)[/tex]

To solve the system, we can multiply the second equation by -1:

[tex]-2x - y = -12[/tex]

Then, we add the two equations together, and solve for x:

[tex]4x = -2[/tex]

[tex]x = \frac{-1}{2}[/tex]

Now, we plug the x value into one of the equations, and solve for y:

[tex]2(\frac{1}{2} ) + y = 12[/tex]

[tex]-2 + y = 12[/tex]

[tex]y = 13[/tex]

Now we know that the solution to the system is [tex](\frac{1}{2}, 13)[/tex]

Hope it helps and have an amazing day!

Answer:

(-1/2, 13)

Step-by-step explanation:

Multiply the 2nd equation by -1, obtaining the following system:

6x + y = 10

-2x  - y = -12

------------------

Combine like terms, obtaining:

6x + y = 10

-2x  - y = -12

------------------

4x     = -2

Dividing both sides by 4 yields x = -2/4, or x = -1/2

Substituting -1/2 for x in the second equation yields:

2(-1/2) + y = 12, or

-1 + y = 12.  Then y = 13, and the solution is

(-1/2, 13)