The sum of a number and 20 is no more than the sum of the square of the number and 9.

2 answers:

8 0

The answer is A because the phrase " no more than" stands for the symbol "less than or equal to", and "the sum of the square if the number and 9" stands for the number squared and then added to nine (x + 9)2.

Olegator [25]4 years ago

8 0

Answer:

Option A is correct

$x+20 \leq x^2+9$

Step-by-step explanation:

Let the number be x.

As per the statement:

The sum of a number and 20 is no more than the sum of the square of the number and 9.

"sum of a number and 20" translated to x + 20

"no more than" means $\leq$

"sum of the square of the number and 9" translated to $x^2+9$

then;

$x+20 \leq x^2+9$

Therefore, the following inequalities can be used to determine this unknown number is, $x+20 \leq x^2+9$

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fomenos

Answer:

-25

Step-by-step explanation:

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3 years ago

Using the given information, give the vertex form equation for each parabola.

ollegr [7]

Answer:

Step-by-step explanation:

If you plot this point and the directrix on a coordinate plane, you can see that the directrix is 1/4 of a unit below the vertex. Since, by nature, a parabola opens in the direction opposite the directrix and "hugs" the focus, this is a positive x-squared parabola (meaning it opens upwards). The formula for this type of a parabola is, in vertex form,

$4p(y-k)=(x-h)^2$

where p is distance (in units) between the vertex and the directrix and h and k are the coordinates of the vertex. For us, p = .25, h = 7, and k = -6. Filling in our formula:

$4(.25)(y+6)=(x-7)^2$