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Brums [2.3K]
3 years ago
7

Please help me one question left

Mathematics
2 answers:
siniylev [52]3 years ago
6 0

Answer: is D

Step-by-step explanation:

madreJ [45]3 years ago
4 0

Answer:

thanks for points

Step-by-step explanation:

too easy boi

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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
When finding x-intercepts, y is equal to zero. So, we can set the whole function equal to_______.
finlep [7]

Answer:

ZERO

ZERO

Step-by-step explanation:

When finding x-intercepts, y is equal to zero. So, we can set the whole function equal to ZERO.

Then we set each binomial equal to ZERO.

7 0
2 years ago
Which explanation can be used to informally derive the formula for the volume of a cone?.
Elis [28]

The statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

<h3>The formula for the volume of a cone</h3>

If we look carefully at a cylinder and the cone, if both the objects have the same radius, still the volume of both the objects is different, that difference is been created because the cone is gradually decreasing to a point while the cylinder is of the same radius during the entire length.

This makes a difference in the volume of the two objects.

Therefore, the statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius.

Hence, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

Learn more about Cone:

brainly.com/question/1315822

6 0
2 years ago
What effect does doubling the radius of a cylinder have on the volume of the cylinder?
BabaBlast [244]
Doubling the radius of the cylinder will quadruple the volume.
3 0
3 years ago
Mark spent 1/3 of an hour reading his Bible. How many minutes did he read his Bible?
madam [21]

Answer:

20 minutes

Step-by-step explanation:

60/3=20

hope this helps :)

5 0
3 years ago
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