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Paha777 [63]
3 years ago
7

What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x? 1. The distributive property: 4x – 12 + 4 < 10

+ 6x 2. Combine like terms: 4x – 8 < 10 + 6x 3. The addition property of inequality: 4x < 18 + 6x 4. The subtraction property of inequality: –2x < 18 5. The division property of inequality: ________ x < –9 x > –9 x < x is less than or equal to negative StartFraction 1 Over 9 EndFraction. X > –x is greater than or equal to negative StartFraction 1 Over 9 EndFraction.
Mathematics
2 answers:
DiKsa [7]3 years ago
7 0

Answer:

X>-9

X is greater than -9

Step-by-step explanation:

4(X-3)+4<10+6X

By clearing up the bracket :

4X-12+4<10+6X

Collecting like terms:

4X-6X<10+12-4

-2X<18

Dividing both sides by -2:

-2X/-2>18/-2

Therefore, X>-9

The mission step is in combining like terms which is 4X-8<10+6X instead of 4X-6X<10+8.

kodGreya [7K]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Just did it edge2020

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Using trig how do you answer this
Aneli [31]

Answer:

62.73° or 1.09 radians

Step-by-step explanation:

SOH CAH TOA

sin = \frac{opposite}{hypotenuse}, so sin (?) = \frac{8}{9}

this means that ? = sin^{-1}(\frac{8}{9}) or ? = arcsin(\frac{8}{9}), depending on what calculator you have

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62.73° or 1.09 radians

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3 0
3 years ago
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What are the domain and range of the function represented by the set of ordered pairs? \ (-6,5),(-3,2),(-1,0),(5,-4)\
stellarik [79]

Answer:

The domain and the range of the function represented by the set of ordered pairs are {-6, -3, -1, 5} and {5, 2, 0, -4}

Step-by-step explanation:

In any set of ordered pairs,

  • The domain is the values of x (set of x) ⇒ the first number in each ordered pair
  • The range is the value of y (set of y) ⇒ the second number in each ordered pair

Let us solve the question

∵ The set of ordered pairs is {(-6, 5), (-3, 2), (-1, 0), (5, -4)}

∵ The first number in each ordered pair represents x

∴ x = -6, -3, -1, 5

∵ The set of x is the domain of the function

∴ The domain of the set of ordered pairs = {-6, -3, -1, 5}

∵ The second number in each ordered pair represents y

∴ y = 5, 2, 0, -4

∵ The set of y is the range of the function

∴ The range of the set of ordered pairs = {5, 2, 0, -4}

The domain and the range of the function represented by the set of ordered pairs are {-6, -3, -1, 5} and {5, 2, 0, -4}

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