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solniwko [45]
2 years ago
15

2x + 2 < 2(3x - 1) I don’t understand this I have to solve the inequality

Mathematics
1 answer:
Mumz [18]2 years ago
8 0

Answer:

x<1

Step-by-step explanation:

2x+2<2(3x-1)

2x+2<6x-2

2x<6x-4

-4x<-4

x<1

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Nth term to 4 1 -2 -5 -8
AURORKA [14]

4

4 - 3 = 1

1 - 3 = -2

-2 - 3 = -5

-5 - 3 = -8

It's the arithmetic sequence.

a_n=a_1+(n-1)d

a_1=4,\ d=-3

substitute

a_n=4+(n-1)(-3)=4-3n+3=-3n+7

Answer: a_n=-3n+7


7 0
2 years ago
Keisha solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 2x + 8 = 6(x + 4) Combine like terms 2 2x
kolbaska11 [484]

4x - 2x + 8 = 6(x + 4)   Given

(4x - 2x) + 8 = 6(x + 4)

2x + 8 = 6(x + 4)     Combine like terms

2x + 8 = (6)(x) + (6)(4)

2x + 8 = 6x + 24    Distributive Property

2x - 6x + 8 = 6x - 6x + 24

-4x + 8 = 24      Subtraction Property of Equality

-4x + 8 - 8 = 24 - 8

-4x = 16    Subtraction Property of Equality

-4x : (-4) = 16 : (-4)

x = -4       Division Property of Equality

4 0
3 years ago
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps andfound that 1304 of them were not pumpi
elena-14-01-66 [18.8K]

Answer:

The p-value of the test statistic from the standard normal table is 0.0017 which is less than the level of significance therefore, the null hypothesis would be rejected and it can be concluded that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.

Step-by-step explanation:

Here, 1304 gas pumps were not pumping accurately and 5689 pumps were accurate.

x = 1304, n = 1304 + 5689 = 6993

The level of significance = 0.01

The sample proportion of pump which is not pumping accurately can be calculated as,

The claim is that the industry representative less than 20% of the pumps are inaccurate.

The hypothesis can be constructed as:

H0: p = 0.20

H1: p < 0.20

The one-sample proportion Z test will be used.

The test statistic value can be obtained as:

Z=\frac{\hat{p}-P}{\sqrt{\frac{P(1-P))}{n}}}\\\\Z=\frac{0.186-0.20}{6993}\\\\Z=-2.927

5 0
3 years ago
Emmanuel added 8 links per minute to his chain mail. Allesia started 20 minutes after Emmanuel and added 13 links per minute to
strojnjashka [21]

Answer: 52 minutes, 416 links

Step-by-step explanation:

8*20=160

13-8=5

160/5=32

32+20=52

52*8=416

8 0
2 years ago
Read 2 more answers
You use substitution to solve a system of equations and, after simplifying the equations, end with an expression that says 0 = 4
attashe74 [19]

Answer:

Check the first two.

Step-by-step explanation:

Since the statement is false, there are no solutions to the system of equations. This also indicates that the lines are parallel.

5 0
2 years ago
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