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Veseljchak [2.6K]
3 years ago
11

Solving Equations with the Variable on Each Side

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

4k - 3 = 2k + 5                      Given

4k - 3 -2k = 2k + 5 - 2k         Addition (added -2k to both sides )

4k - 2k - 3 = 2k - 2k + 5        Commutative  (changed the order of the terms)

2k - 3 =  0 + 5                         Addition/ Identity

 2k - 3 = 5                               Addition

 2k - 3 + 3 = 5 + 3                 Addition (added 3 to both sides)

  2k + 0 = 8                            Addition

  2k =  8                                 Identity

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bearhunter [10]

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5 0
2 years ago
Identify the domain and range of the graph.
Bad White [126]

Answer:

Domain (x): (-∞ , -1) ∪ (-1 , 3) ∪ (3 , ∞)

Range (y): (3 , ∞) ∪ (-∞ , ∞) ∪ (-∞ , 3) -> (-∞ , ∞)

Step-by-step explanation:

Domain (x): (-∞ , -1) ∪ (-1 , 3) ∪ (3 , ∞)

Range (y): (3 , ∞) ∪ (-∞ , ∞) ∪ (-∞ , 3) -> (-∞ , ∞)

5 0
2 years ago
Carter Motor Company claims that its new sedan, the Libra, will average better than 26 miles per gallon in the city. Use μ, the
Aleonysh [2.5K]

Answer:

The true average mileage of the Libra  Using Null hypothesis is as ;

H0:μ≤26

(Ha):μ >26

Step-by-step explanation:

Given:

Libra, will average better than 26 miles per gallon in the city

To Find:

Average mileage of the Libra.

Solution:

This problem is related to the null hypothesis  and alternate hypothesis.

i.e Null Hypothesis is the statement which is true and statement which contradictory is called alternate hypothesis.

<em>“reject H0” if the sample information favors the alternative hypothesis. </em>

<em>“do not reject H0” / “decline to reject H0” if the sample information is insufficient to reject the null hypothesis</em>

So given that condition is libra will have average better than 26

So it will include 26 and above values .

i.e. True  condition is called as null hypothesis (H0)

so true average will be greater than 26

So H0:μ≤26

And the Alternate hypothesis will be the contradictory to true condition

(Ha):μ >26 .

7 0
3 years ago
If 1st January 2001 was Monday then what day of the week was it on 31st December 2001 ?​
Liula [17]

Answer:

31st December 2001 is Monday

Step-by-step explanation:

7 0
3 years ago
Simplify<br><br><br>Rewrite the expression in the form aⁿ<br><br><br>a⋅a⁷=
dem82 [27]
A•a^7 = a^8 (add the power (n=1+7=8))
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3 years ago
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