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bekas [8.4K]
3 years ago
9

Answer the questions below about the quadratic function.

Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

there is a maximum value

the maximum occurs at the point (-5, 4)

The maximum value is 4

Step-by-step explanation:

When graphed the function is a parabola that opens down because of the -3

Therefore, there is a maximum value and it is the k value of the vertex (h, k)

h = - b/2a       a = -3    b = -30

  =  -(-30)/2(- 3) = 30/-6 = -5

k = -3(-5)^{2} -30(-5) - 71

  = -3(25) + 150 - 71

  = -75 + 150 - 71

  = 4

The vertex is (-5, 4)   So the maximum occurs at the point (-5, 4)

The maximum value is 4

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Amanda [17]
-4 - (-36) = -4 + 36 = 32 units
4 0
3 years ago
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Find the missing leg if one leg is 18 units and the hypotenuse is 30 units
irina1246 [14]

Answer:

24

Step-by-step explanation:

I will assume this is a right triangle with the information given

a^2+b^2 = c^2 is the Pythagorean theorem

18^2 + b^2 = 30^2

Subtract 18^2 from each side

18^2  - 18^2+ b^2 = 30^2 -18^2

b^2 =900 -324

b^2 =576

Take the square root of each side

sqrt(b^2) = sqrt(576)

b =24

4 0
4 years ago
If the distance from 0 to x on a number line is less than 2, then -2+x is negative
snow_tiger [21]
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7 0
3 years ago
A number is mutiplied by 10. Then 32 is added to the product. This sum is then devised by 4. The answer is 28. What was the orig
zlopas [31]
The Answer is 8 because you take 28 and multiply 4, then you subtract 32, and lastly, you divide by 10 and you get 8.
4 0
4 years ago
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Multiply and simplify. 3(x2 + 5)(x2 - 5)
Luba_88 [7]

Answer:

3 x^4 + -75

Step-by-step explanation:

Expand the following:

3 (x^2 + 5) (x^2 - 5)

(x^2 + 5) (x^2 - 5) = (x^2) (x^2) + (x^2) (-5) + (5) (x^2) + (5) (-5) = x^4 - 5 x^2 + 5 x^2 - 25 = x^4 - 25:

3 x^4 - 25

3 (x^4 - 25) = 3 x^4 + 3 (-25):

3 x^4 - 25×3

3 (-25) = -75:

Answer:  3 x^4 + -75

8 0
4 years ago
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