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Vitek1552 [10]
3 years ago
13

Solve this inequality: -12a +7<31

Mathematics
2 answers:
Ne4ueva [31]3 years ago
8 0

Answer:

a>-2

Step-by-step explanation:

\sf{}

=> -12a +7 <31

=> -12a+7-7<31-7

=> -12a<24

=> a>-2

vagabundo [1.1K]3 years ago
7 0

Answer:

a > -2

Step-by-step explanation:

-12a +7<31

Subtract 7 from each side

-12a +7-7<31-7

-12a <24

Divide by -12, remembering to flip the inequality

-12a/-12 >24/-12

a > -2

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Dahasolnce [82]

Answer:

Option (2)

Step-by-step explanation:

Parent function has been given as,

f(x) = \sqrt{x}

When translated by 3 units left,

f(x + 3) = \sqrt{(x+3)}

g(x) = \sqrt{(x+3)}

If the translated function is stretched vertically by a scale factor = k

New function will be,

g'(x) = k\sqrt{(x+3)}

Since a point (1, 4) passes lies on the transformed function.

g'(1) = k\sqrt{(1+3)}

4 = 2k

k = 2

Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.

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3 years ago
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Step-by-step explanation:

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7 0
3 years ago
At the market, 8 apples cost $4dollar. How much do 9 apples cost?
Lorico [155]

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Step-by-step explanation: To find out how much it is for 1 apple, we need to find the unit price of 1 apple which is the cost per apple.

Since we know that it costs $4 for 8 apples, to find the cost for 1 apple, we need to divide 8 into $4 or 4 divided by 8 which is 0.5 of 50 cents per apple.

Since we know that it costs 50 cents per apple, to find the cost for 9 apples, we will need to multiply .50 by 9.

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4 0
3 years ago
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lesantik [10]

Answer: No, New York students are not truly more nerdy than the California students.

Step-by-step explanation:

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Mean score of California psychology = 515

Standard deviation = 80

So, we will find t-distribution first.

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Let α = 5% = 0.05

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Since t < t(critical value)

No, New York students are not truly more nerdy than the California students.

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Step-by-step explanation:

3 0
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