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viva [34]
3 years ago
5

Is 8.33333333 a rational or irrational number

Mathematics
1 answer:
Levart [38]3 years ago
8 0
Rational cause it has a repeating decimal
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Can I get help with this
Hunter-Best [27]

Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 =  -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

3 0
3 years ago
Can you help me find x/5+7=16 Because I don’t know what it is.
kramer

Answer:  x=45

STEPS:

1

Add the same term to both sides of the equation

2

Simplify

3

Multiply all terms by the same value to eliminate fraction denominators

4

Simplify

5 0
3 years ago
Read 2 more answers
The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr
GarryVolchara [31]

Answer:

\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height

Given:

  • area = 18 cm²
  • base = 6 cm
  • height = (h + 1) cm

Substitute the given values into the equation and solve for h:

\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)

\sf \implies 18 = \sf \dfrac62 (h+1)

\sf \implies 18 =3(h+1)

expand using distributive property of addition a(b+c)=ab+ac:

\sf \implies 18=3h+3

subtract 3 from both sides:

\sf \implies 3h=15

divide both sides by 3:

\sf \implies h=5

<u>To verify</u>:

Half of the base is 3 cm.

If h=5, then the height of the triangle is 6 cm.

Multiplying 3 by 6 is 18.

This matches the given area, so we can verify that h = 5.

3 0
2 years ago
Read 2 more answers
Two one-step equations
olchik [2.2K]

Question:  When is this due?                                      

6 0
2 years ago
As a result of a transfer from one school to another, a boy has to walk one
Softa [21]

Answer:

Let the distance of school and house is x k m

Then time taken at speed 2.5 km\hr=

2.5

x

hr

And time taken at speed 4 km\hr=

4

x

hr

∴

2.5

x

−

4

x

=

60

12

⇒

10

4x−2.5x

=

5

1

⇒x=3 km

Then the distance of school and house is 3 k m

may this help you

6 0
3 years ago
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