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andriy [413]
3 years ago
12

21 is greater than or equal to 3(a-7) +9

Mathematics
1 answer:
likoan [24]3 years ago
4 0
21≥<span>3(a-7) +9
first, just solve it like a normal equation
Distribute
21</span>≥3a-21+9
<span>Combine numbers
21</span>≥3a-12
<span>Solve like equation
33</span>≥3a
11≥a
<span>"a" has to be less than or equal to 11 for the inequality to be true

</span>
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2 years ago
Complete the square to rewrite y-x^2-6x+14 in vertex form. then state whether the vertex is a maximum or minimum and give its co
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Answer:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

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y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

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V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

Step-by-step explanation:

For this case we have the following equation given:

y= x^2 -6x +14

We can complete the square like this:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

4 0
3 years ago
A number n is no less than -3. what is the inequality
vazorg [7]

Answer:

n ≥ -3

Step-by-step explanation:

If n can be <em>no less than</em> -3... then we know that n has to be bigger than or equal to -3.

This could also be said as <em>greater than or equal to</em> -3

Conveniently enough... there is a sign for <em>greater than or equal to</em> and it is ≥

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3 years ago
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