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Alla [95]
3 years ago
8

Eddie scored at least 27 point more than half of what Duncan scored.eddie score 58points. Wright an inequality that could be sol

ved to find the numbers of points that Duncan could have scored
Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0

For this case we have:

Let:

x: number of points scored by Duncan

y: number of points scored by Eddie

We have:

y\geq27 +\frac{x}{2} (1)

y = 58 (2)

Substituting (2) in (1):

58\geq27+\frac{x}{2}

58-27\geq\frac{x}{2}

31\geq\frac{x}{2}

2*31\geqx\\62\geq x

Thus, Duncan could have scored a maximum of 62 points.

Answer:

x\leq62 points scored by Duncan.


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Please help! It's about systems of equations. Answer correctly i will mark brainliest
4vir4ik [10]

Answer:

Step-by-step explanation:

Y= -6

X=-2

7 0
3 years ago
Which equations have the same pair of solutions? Select all that apply. n(n + 3)(n - 4) = 0 2n(4n + 6)(6n - 4) = 0 0 = 2n(6 - 4n
Zina [86]

Answer:

2, 4, 5, and 6 have the same pair of solutions.

Step-by-step explanation:

1. n(n+3)(n-4) = 0

2. 2n(4n+6)(6n-4) = 0

3. 2n(6-4n)(4n-6n) = 0

4. n(2n+3)(3n-2) = 0

5. 2n(2n+3)(3n-2) = 0

6. 3n(6n+9)(9n-6) = 0

Answers:

1. n = 0, -3, 4

2. n = 0, -3/2, 2/3

3. n = 0, 3/2

4. n = 0, -3/2, 2/3

5. n = 0, -3/2, 2/3

6. n = 0, -3/2, 2/3

8 0
4 years ago
Read 2 more answers
What are the solutions to the equation (x-6)(x+8)=0?
Zepler [3.9K]

Answer:

x = 6, -8

Step-by-step explanation:

If (x - 6)(x + 8) = 0, that would imply that either (x - 6) or (x + 8) would equal zero. Using this, we can find that solving the two equations:

x - 6 = 0

and

x + 8 = 0

would yield the two solutions to the equation.

x - 6 = 0

Add 6 to both sides of the equation.

x = 6

So one of the solutions would be x = 6.

x + 8 = 0

Subtract 8 from both sides of the equation.

x = -8

So the other solution would be x = -8.

The two solutions are x = 6 and x = -8.

I hope you find my answer and explanation to be helpful. Happy studying.

6 0
3 years ago
PLEASE HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!! 3) This problem is called the Collatz Conjecture and is an unproven statement in ma
Aneli [31]

The set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

<h3>How to generate the numbers in the Collatz Conjecture</h3>

To start with, we make use of the following starting point:

Starting point = 1

The rule is given as:

  • If the last number is odd, multiply it by 3 and add 1.
  • If the last number is even, divide the number by 2.

1 is an odd number.

So, we use the first rule

So, we have:

1 * 3 + 1 = 4

4 is an even number.

So, we use the second rule

So, we have:

4/2 = 2

So, the first three numbers in the Collatz Conjecture are:

1, 4, 2

Using the given rules, we have:

1, 4, 2, 1, 4, 2, 1, 4, 2....

The above means that there is only one set of repeating numbers in the Collatz Conjecture.

Hence, the set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

<h3>Fibonacci sequence</h3>

The first and the second numbers are given as:

First = 2

Second = 5

The current term of a Fibonacci sequence is the sum of the previous two terms.

Using the above rule, the first 10 terms are:

2, 5, 7, 12, 19, 31, 50, 81, 131, 212

<h3>The sum of the first 10 terms of the new sequence</h3>

We have:

2, 5, 7, 12, 19, 31, 50, 81, 131, 212

Add the terms

Sum = 2+ 5+ 7+ 12+ 19+31+50+81+131+212

Evaluate

Sum = 550

Hence, the sum of the first 10 terms of the new sequence is 550

Read more about sequence at:

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7 0
2 years ago
What are the solutions of the system?
miskamm [114]
We have the following system of equations:
 y = -6x-6
 y = x2-5x-6
 Matching we have:
 x2-5x-6 = -6x-6
 Rewriting we have:
 x2-5x-6 + 6x + 6 = 0
 x2 + x = 0
 Rewriting:
 x (x + 1) = 0
 The solutions are:
 x = 0
 x = -1
 For x = 0
 y = -6 (0) -6 = 0-6 = -6
 y = -6
 For x = -1
 y = -6 (-1) -6 = 6-6 = 0
 y = 0
 The solutions are:
 (x, y) = (0, -6)
 (x, y) = (- 1, 0)
 Answer:
 
The solutions of the system are:
 (-1, 0) and (0, -6)
3 0
3 years ago
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