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3 years ago

Solve the inequality. 3< -5n+2n

Mathematics

2 answers:

bixtya [17]3 years ago

8 0

Answer:

n < -1

Step-by-step explanation:

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

3 + 3n = 3 • (n + 1)

Equation at the end of step 1 :

Step 2 :

2.1 Divide both sides by 3

Solve Basic Inequality :

2.2 Subtract 1 from both sides

n < -1

Inequality Plot :

2.3 Inequality plot for

3.000 X + 3.000 < 0

One solution was found :

n < -1

Processing ends successfully

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daser333 [38]3 years ago

5 0

Answer:

n < -1

Step-by-step explanation:

3 < -5n+2n ⇔ 3 < -3n ⇔ -1 > n

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3 years ago

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

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The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

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$p=-2$ .

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$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

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