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Svetach [21]
3 years ago
13

Which expression is equivalent to 2(a+3) when a equals 32(3)5(3)2(3)+32(3)+6​

Mathematics
2 answers:
sammy [17]3 years ago
8 0
2(3+3) or 2(3)+6, so the answer is the third option. It’s just using the distributive property.
alukav5142 [94]3 years ago
5 0

Answer:

2(3)+6

Step-by-step explanation:

a = 3

substitute a with 3

2(a+3)

= 2(3+3)

= 2(6)

= 12 ✅

i) 2(3) = 6 ❌

ii) 5(3) = 15 ❌

iii) 2(3)+3 = 6+3 = 9❌

iv) 2(3)+6 = 6+6 = 12 ✅

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horsena [70]
Negative 4 or -4 is the answer
8 0
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
Gavyn, Pip and Mark share £102 in a ratio 1:2:3. How much money does each person get?
rosijanka [135]

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio , 1 + 2 + 3 = 6 parts

divide the amount by 6 to find the value of one part of the ratio

£102 ÷ 6 = £17 ← value of 1 part of the ratio , then

2 parts = 2 × £17 = £34

3 parts = 3 × £17 = £51

Gavyn gets £17

Pip gets £34

Mark gets £51

5 0
2 years ago
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Nikolay [14]
0.9. The reason why is because the 5 brings the 8 to a 9.
6 0
3 years ago
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Find the area of the following triangle:<br> 18<br> 9<br> 11<br> 14<br> Note: Figure not to scale.
Nataly [62]

Answer:

sorry but where is the triangle ️

3 0
2 years ago
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