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liraira [26]
3 years ago
15

Which way is x > 12 going on the number line?

Mathematics
1 answer:
Sati [7]3 years ago
3 0

its going to the right because its greater than 12

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A parabola intersects the x-axis at x=3 and x=9 what is the x-coordinate of the parabola's vertex?
KiRa [710]

Here we are given the x intercepts at x=3 and x=9

So let us try to make quadratic equation for this using given information.

We have factors in the form (x-a)(x-b)

where a and b are x intercepts given to us.

So rewriting in factored form:

y=(x-3)(x-9)

Now let us simplify it:

y=x^{2}-12x+27

Let us find the vertex now,

For a quadratic equation of the form:

y=ax^{2}+bx+c

For x coordinate , we have the formula,

x=\frac{-b}{2a}

So using this formula for our equation,

x=\frac{-(-12)}{2(1)}

So x = 6

Answer: The x-coordinate of the parabola's vertex is 6.


7 0
3 years ago
Read 2 more answers
The low temperature (t) is 75 Degree F for today and the maximum temperature is 92 degree F. Write the sentence as an inequality
Yuki888 [10]
That would be

75  ≤ t ≤ 92
8 0
3 years ago
Hey, my assignment is due in a few hours totally blew over me . Would appreciate some help !
NeTakaya

HOPE THIS HELPS!!!!!!!!!!!!!! :)

5 0
3 years ago
Prove or disprove that the circle with equation x^2-4x+y^2=-3 intersects the y axis
wel
The general equation given is x^2 - 4x + y^2 = -3. Transform this to an equation of a circle of the form x^2 + y^2 = r^2.

Use completing the square method:

x^2 - 4x + 4 + y^2 = -3 + 4
(x - 2)^2 + y^2 = 1

the center of the circle is (2,0) and r = 1

To check if it intersects the y axis, find the value of the x-intercept. 
7 0
3 years ago
Explain why the expression 9x^3+1/2x^2+3x^-1 is not a polynomial
Nastasia [14]

Answer:

The given expression can't be expressed in polynomial form. Hence, it is not a polynomial.

Step-by-step explanation:

P(x,n) is a polynomial of nth degree if it is of the form,

P(x,n) = a_{0} + a_{1}x + a_{2}x^{2} + a_{3}x^{3} + ......... +a_{n}x^{n}

where n is a finite positive integer and n ∈ N

and 'a_{i}'s are fixed but otherwise arbitrary constants ∀  i = 0(1)n .

Now, the given expression is,

9x^{3} + \frac {1}{2x^{2}} + 3x^{-1}

which  doesn't fit in the above form. Hence, it is not a polynomial.

4 0
3 years ago
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