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Alexus [3.1K]
2 years ago
13

15.

Mathematics
2 answers:
spayn [35]2 years ago
4 0
If I’m correct, I think A. 0.3x2 is the correct answer.
strojnjashka [21]2 years ago
4 0

Answer:

A. 0.3x2

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

0.8

¯

3

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

0.8

¯

3

x

y

−

2

1.2

−

1

0.3

0

0

1

0.3

2

1.2

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

−

1

16

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

1

16

x

y

−

2

−

16

−

1

−

4

0

0

1

−

4

2

−

16

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

−

5

16

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

16

x

y

−

2

−

16

5

−

1

−

4

5

0

0

1

−

4

5

2

−

16

5

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

3

4

x

y

−

2

4

3

−

1

1

3

0

0

1

1

3

3

3

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what is the maximum number of relative extrema contained in the graph of this function ? F(x) = 3x^4 - x^2 + 4x - 2
Mademuasel [1]

The maximum number of relative extrema of the given polynomial is; 3

<h3>How to find the maxima of a Polynomial Function?</h3>

When trying to find the maximum number of relative extrema of a polynomial, we usually use the formula;

Maximum number of relative extrema contained in a polynomial = degree of this polynomial - 1.

We are given the Polynomial as;

f(x) = 3x⁴ - x² + 4x - 2

Now, the degree of the Polynomial would be 4. Thus;

Maximum number of relative extrema = 4 - 1

Maximum number of relative extrema = 3

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7 0
1 year ago
1. What is the product of 6.8 and 4.7?<br> A. 3.196<br> AB. 31.96<br> C. 319.6<br> D. 3196
frozen [14]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
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Zinaida [17]

Answer:

Slope = 300/2x = 150x

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Step-by-step explanation:

8 0
3 years ago
What is the smallest prime number p such that
Ne4ueva [31]

The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>

The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.

i.e.

  • p^3 + 4p^2 + 4p

By factorization, we have:

  • = p(p+2)²

Now, to get exactly 30 divisor.

  • (p+2)² requires to give us 15 factors.

Therefore, we can have an equation p + 2 = p₁ × p₂²

where:

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So, for the least values of p + 2, Let us assume that:

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p + 2 = 5 × 3²

p + 2 = 5 × 9

p + 2 = 45

p = 45 - 2

p = 43

Therefore, we can conclude that the smallest prime number p such that

p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

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8 0
1 year ago
Which statement about the graphs of functions g(x)<br> (x - 1)2 and f(x) = x2 is true?
katrin2010 [14]

Answer:What is the axis of symmetry and vertex for the function f(x) = 3(x - 2)2 + 4? ... Which best describes the transformation from the graph of f(x) = x2 to the graph of ... The graph of the function is 1 unit up and 2 units to the left from the graph of y = x2. ... Which statement about the function is true?

Step-by-step explanation:

4 0
3 years ago
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