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jekas [21]
3 years ago
15

-11=b\10-10 so what does b equal

Mathematics
1 answer:
larisa [96]3 years ago
5 0
So b/10 has to be -1, that means b is -10
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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
What does x represent in the equation is -2(bx-5)=16 if b is 3
uranmaximum [27]

Answer:

x = - 1

Step-by-step explanation:

Given

- 2(bx - 5) = 16 ← substitute b = 3

- 2(3x - 5) = 16 ( divide both sides by - 2 )

3x - 5 = - 8 ( add 5 to both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

8 0
3 years ago
Write a function to represent the set of ordered pairs.
77julia77 [94]

Answer:

Option C   f (x) = x^ 2 - 2

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9

Therefore the relationship is not linear.

However, the exchange rate y_n- y_{n-1} increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

y = x ^ 2

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is y = x ^ 2 then the function that contains the ordered pairs of the B set is:

y = x ^ 2 -2

The correct option is option C) f (x) = x^ 2 - 2

8 0
3 years ago
Hello? i have a question.​
Vedmedyk [2.9K]

Answer:

whats your question

Step-by-step explanation:

4 0
3 years ago
Um i need help with this.
blsea [12.9K]

Answer:

None of these!

Step-by-step explanation:

x + y + z = x + y + z only over here

5 0
3 years ago
Read 2 more answers
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