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2 years ago

If you are working with less than, or greater than. If there is a negative do you switch the sign? For example 9t-4>32

Mathematics

1 answer:

kirill [66]2 years ago

8 0

Answer:

Rule: If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.

Step-by-step explanation:

Your job here is to simplify 9t-4>32, in which the variable (t) is already positive. Here you do NOT switch signs or reverse the direction of the inequality symbol. Adding 4 to both sides, we get 9t > 36, or t > 4.

If, however, you had -9t-4>32 to work with, the situation would be different because t in this inequality is negative. Adding 4 to both sides results in:

-9t > 36. To solve for t, we must divide both sides by -9 AND reverse the direction of the inequality symbol:

t < -4.

Rule: If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.

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Find the remainder when f(x) is divided by (x - k) f(x) = 5x4 + 8x3 + 4x2 - 5x + 67; k = 2

yan [13]

It is to be solved by reminder thorem
f(x)/(x-k) will have reminder f(k),
so, f(2) = 5*(2^4) + 8 *(2^3) +4* (2^2) -5(2) +67

=5*16 + 8*8 +4*4 -5*2 +67
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2 years ago

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Pls help me on this math question.I am really confused

Natali5045456 [20]

Answer:

640 m

Step-by-step explanation:

We can consider 4 seconds to be 1 time unit. Then 8 more seconds is 2 more time units, for a total of 3 time units.

The distance is proportional to the square of the number of time units. After 1 time unit, the distance is 1² × 80 m. Then after 3 time units, the distance will be 3² × 80 m = 720 m.

In the additional 2 time units (8 seconds), the ball dropped an additional

... (720 -80) m = 640 m

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Alternate solution

You can write the equation for the proportionality and find the constant that goes into it. If we use seconds (not 4-second intervals) as the time unit, then we can say ...

... d = kt²

Filling in the information related to the first 4 seconds, we have ...

... 80 = k(4)²

... 80/16 = k = 5

Then the distance equation becomes ...

... d = 5t²

After 12 seconds (the first 4 plus the next 8), the distance will be ...

... d = 5×12² = 5×144 = 720 . . . meters

That is, the ball dropped an additional 720 -80 = 640 meters in the 12 -4 = 8 seconds after the first data point.

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kotykmax [81]

6+5x=?
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2 years ago

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11Alexandr11 [23.1K]

Answer:

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trapecia [35]

Answer:

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Step-by-step explanation:

Given :-

log x⁵ + log x ¹² = 7 .

To Find :-

The expotential equation .

Solution :-

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⇒ log x⁵ + log x ¹² = 7

⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]

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