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docker41 [41]
4 years ago
5

Solve −5x−3≥2 and 4x−2≥5 and write the solution in interval notation. If there is no solution, type ∅.

Mathematics
1 answer:
denis23 [38]4 years ago
6 0

Answer:

<h3> 7/4≤x ≤-1</h3>

Step-by-step explanation:

Given the set of inequalities

−5x−3≥2 and 4x−2≥5

We are to write the solution in interval notation. We need to solve them individually first as shown;

For −5x−3≥2

add 3 to both sides

−5x−3+3≥2+3

-5x ≥5

divide both sides by -5 (note that dividing by a negative value will change the sense of the inequality sign)

-5x/-5 ≤5/-5

x ≤ -1

For the inequality 4x−2≥5;

add 2 to both sides

4x−2+2≥5+2

4x≥7

divide both sides by 4;

4x/4 ≥ 7/4

x≥7/4 or 7/4≤x

Combining 7/4≤x and x ≤ -1, the solution in interval notation is expressed as 7/4≤x ≤-1

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In hexadecimal/base-16, we have B₁₆ = 11, C₁₆ = 12, and D₁₆ = 13, so

4D₁₆ = 4 × 16¹ + 13 × 16⁰ = 77

and

BC2₁₆ = 11 × 16² + 12 × 16¹ + 2 × 16⁰ = 3010

3 0
2 years ago
11+3(9-6)-4=<br> Please do it step by step.
tester [92]
11+3=14*(9-6=3)-4=38
3 0
3 years ago
Read 2 more answers
2xy=4(1/2xy) because
frutty [35]
Because, when 4 multiply by 1/2 will equal 2, so 2xy=4(1/2xy)
8 0
3 years ago
Analyze the table below and answer the question that follows.
lora16 [44]

Answer:

C. Events E and A are independent

Step-by-step explanation:

we will verify each options

(a)

We can use independent events formula

P(B∩C)=P(B)*P(C)

we are given

P(B)=0.4

P(C)=0.25

P(B∩C)=0.05

now, we can plug these values into formula

and we get

0.05=0.4*0.25

0.05=0.1

we can see that left side is not equal to right side

so, this is FALSE

(b)

We can use independent events formula

P(D∩A)=P(D)*P(A)

we are given

P(D)=0.25

P(A)=0.6

P(D∩A)=0.1

now, we can plug these values into formula

and we get

0.1=0.25*0.6

0.1=0.15

we can see that left side is not equal to right side

so, this is FALSE

(c)

We can use independent events formula

P(E∩A)=P(E)*P(A)

we are given

P(E)=0.5

P(A)=0.6

P(E∩A)=0.3

now, we can plug these values into formula

and we get

0.3=0.5*0.6

0.3=0.3

we can see that both sides are equal

so, this is TRUE

(d)

We can use independent events formula

P(D∩B)=P(D)*P(B)

we are given

P(D)=0.25

P(B)=0.4

P(D∩A)=0.15

now, we can plug these values into formula

and we get

0.15=0.25*0.4

0.15=0.1

we can see that left side is not equal to right side

so, this is FALSE


8 0
3 years ago
In order to fence in a garden the rowan family needs 64 feet of lumber the garden at the Correas house will need to be 150% larg
Andrews [41]

Answer:I believe the correct answer is 96.


Step-by-step explanation:To answer this question you multiply the percentage 1.50 by 64 and get 96. Hope this helps!


6 0
3 years ago
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