Help me solve this problem for algebra 2
Help me solve this problem for algebra 2 - 1

Answers

Answer 1
Answer:

9514 1404 393

Answer:

  • free throws: 136
  • 2-point: 174
  • 3-point: 121

Step-by-step explanation:

Let x represent the number of 2-point field goals Rebecca made. Then the number of 3-point field goals can be represented by t, where ...

  x = 2t -68   ⇒   t = (x +68)/2 . . . . . number of 3-point field goals

The number of free throws made was x -38.

Rebecca's total point count was ...

  1(x -38) +2x +3(x +68)/2 = 847

  9/2x +64 = 847

  9/2x = 783

  x = (2/9)(783) = 174

  x -38 = 136

  (x +68)/2 = 121

Rebecca made 136 free throws, 174 2-point field goals, 121 3-point field goals.


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Part 1:For the following system of equations, write your own real world scenario that describes what is happening. Use complete sentences and correct grammar in your scenario.

Part 2:
Solve the system and explain what the results mean according to your scenario.

2x + y = 11
3x + 4y = 24
...?

Answers

Here are my answers to the given questions above:
Part 1. Here is my example of a real life scenario that describes what is happening. Let us say, I have 2 cookies and the bottle of milk costs 11 dollars, and 3 cookies and 4 bottles of milk cost 24 dollars.
Part 2. 
y=11-2x
3x+4(11-2x)=24
3x+44-8x=24
-5x=-20
x=4
y=11-8
y=3
Therefore, each cookie costs 4 dollars, and a bottle of milk costs 3 dollars.
Hope this answer helps. Let me know if you need more help next time.

State whether the equation is a linear equation in one variable or not. –2x(–2 – x) = x + 1

Answers

If you'll simplify this equation -2x(-2-x)=x+1
you'll get 4x+2x²=x+1
simplify further 2x²+3x-1
this one looks like a quadratic equation.
Thus, this is not a linear equation,
-2x(-2 -x) = x + 1\n 4x+2x^2=x+1

It's not linear. It's quadratic.

In ΔSTU, s = 1.6 cm, u = 9.5 cm and ∠U=24°. Find all possible values of ∠S, to the nearest 10th of a degree.

Answers

Final answer:

In triangle STU, the possible values for ∠S, derived by using the law of sines, are approximately 10.2° and 169.8°.

Explanation:

The student wants to find all possible values of ∠S in ΔSTU, s=1.6 cm, u = 9.5 cm and ∠U=24°. This is a problem involving the laws of sines and cosines in trigonometry. By using the law of sines, we can find ∠S = sin⁻¹ ((sin U * s) / u) ≈ 10.2° or 169.8° (since sinx is positive in both the 1st and 2nd quadrants). It is important to note that ∠S and ∠U are not complimentary angles in a right triangle, therefore, both possible values of ∠S are valid if they meet the condition that the sum of ∠S, ∠T and ∠U should be equal to 180° in ΔSTU.

Learn more about Trigonometry here:

brainly.com/question/31896723

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What is the slope of 6x-3y=18??

Answers

the \ slope \ intercept \ form \ is : \n \n y= mx +b \n \n6x-3y=18 \n \n-3y=-6x+18 \ \ /:(-3)\n \ny=(-6)/(-3)x + (18)/(-3) \n \ny=2x-6 \n \n m = 2

Which expression forms an equation with the given expression?8 • 7 – 4 = ___________
(Points : 1)
(2 + 9) • 2
10 • 3 – 6
9 • 5 + 7
9(12 ÷ 2)

Answers

Answer:

8 • 7 – 4 = 9 • 5 -  7.

Step-by-step explanation:

Given  : 8 • 7 – 4 = ___________

To find : Which expression forms an equation with the given expression.

Solution : We have given  8 • 7 – 4 = ___________

First we solve the product

56 - 4.

52

Now we will check the 9 • 5 + 7

Solve the product  45 + 7 =  52.

So, the   8 • 7 – 4 = 9 • 5 -  7

Therefore,  8 • 7 – 4 = 9 • 5 -  7.

The answer is 9*5+7
9*5=45 +7=52

Find 3 consecutive even numbers where the product of the smaller two numbers is 40 less than the square of the largest number.

Answers

3\ consecutive\ even\ numbers:\ 2x,2x+2,2x+4\n\n2x(2x+2)+40=(2x+4)^2\n\n 4x^2+4x+40=4x^2+16x+16\n\n 4x^2-4x^2+4x-16x=16-40\n\n-12x=-24\ \ |:(-12)\n\nx=(24)/(12)=2\n\n2x=2=4\n\n2x+2=6\n\n2x+4=8\n\nNumbers\ are\ 4,6,8.