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Mekhanik [1.2K]
3 years ago
8

Mike scored 38 points in the first half of the basketball game, and he scored p points in the second half of the game. Write an

expression to determine the number of points he scored in all. Then, find the number of points he scored in all he scored 20 points in the second half of the game.
Mathematics
2 answers:
Vladimir [108]3 years ago
6 0


38 + p

He scored 58 points total if she scored 20 in the second half


Adding up the number of the points earned in the first half (38) and the number of points earned in the second half (p) will give you the total points.

If he scored 20 points in the second half of the game, then you can change the expression to:

38 + 20

Because now you know what he scored in both the first half and the second half. Then you can add them together to get the answer of 58

Slav-nsk [51]3 years ago
4 0
Ok, so if you want to find the total number of points that Mike has scored, you just need to take your 2 values and add them up.  This has to be an expression which means that there is no equals sign.  

A) Your expression will just be 38+p.  This gives you the total

B) Using A, we can say that if 'p' is 20 then the total is 38+20=58.  So the total is 58 points.  
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3 years ago
Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.
laila [671]

Answer:

The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is  (-∞,2] ∪ [8,∞)

Step-by-step explanation:

When solving absolute value inequalities, there are two cases to consider.

Case 1: The expression within the absolute value symbols is positive.

Case 2: The expression within the absolute value symbols is negative.

The solution is the intersection of the solutions of these two cases.

In other words, for any real numbers a and b,

  • if |a|> b then a>b or a<-b
  • if |a|< b then a<b or a>-b

So, being |3x-9|≤15

Solving: 3x-9 ≤ 15

3x ≤15 + 9

3x ≤24

x ≤24÷3

x≤8

or 3x-9 ≥ -15

3x ≥-15 +9

3x ≥-6

x ≥ (-6)÷3

x ≥ -2

The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]

So, being |2x-3|≥5

Solving: 2x-3 ≥ 5

2x ≥ 5 + 3

2x ≥8

x ≥8÷2

x≥8

or 2x-3 ≤ -5

2x ≤-5 +3

2x ≤-2

x ≤ (-2)÷2

x ≤ -2

Expressing the solution as an interval: (-∞,2] ∪ [8,∞)

6 0
3 years ago
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To factor x²-2x-4, you are looking to answer three questions.

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To answer (1), our pairs are 2 and 2, 4 and 1. Since there's a negative with 4 at the end (from question one), the signs will be opposite.

To answer (2), only pair multiplies to 1 - 1 and 1. Let's try both pairs from 1.

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(x-1)(x+4). The middle term here is 3x. Nope.

(x-2)(x+2) The middle term is 0x (or no middle term). Nope.

So x²-2x-4 does not factor.

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3 years ago
How do i factor x^3+3x^2
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