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Soloha48 [4]
3 years ago
9

What does x2 + 11x + 24 look like on a graph

Mathematics
2 answers:
joja [24]3 years ago
8 0
The equation x^2 + 11x + 24 looks like this when graphed.

I hope this helps!

qwelly [4]3 years ago
7 0
To graph a parabola without a calculator, we can factor it to find its root values. These are the x values where the graph is equal to 0 (on the x-axis).

x^2 + 11x + 24 can be factored to:

(x+8)(x+3)

Set both factors equal to 0 to find the roots:

x+8=0
x=-8

x+3=0
x=-3

So the graph crosses the x-axis at x = -8 and x = -3.

Next we can find the vertex of the graph. This is the point where the slope changes directions. Since the x^2 term is positive, we know the parabola is facing up (like a smile face). Therefore the vertex is a minimum value.

We can find the x value of the minima by finding the difference between the roots. Half way from -3 to -8 is -5.5.

Next we can find the y value by plugging -5.5 in for x:

y = (-5.5)^2 + 11(-5.5) + 24 = -6.25

So the vertex is at (-5.5, -6.25)

Note: Minima and maxima can be found easier by using calculus.

From these three points we can draw a pretty accurate graph of the equation. See the attached picture.






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Answer:

C. Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has no solution.

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8(3x - 6) = 6(4x + 8)

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3 years ago
What is the 50th term of the arithmetic sequence 3, 7, 11, 15, ... ?
zysi [14]

Answer:

B. 199

Step-by-step explanation:

We are given an Arithmetic sequence : 3, 7, 11, 15, ...

We are supposed to find the 50th term .

So, first consider the formula of nth term in Arithmetic mean:

a_{n} = a+(n-1)*d

where

a is first term of sequence

n is term position

d is common difference

a_{n}= the term you are supposed to find

Now,

a = 3 ( first term )

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d = 7-3 = 11-7 = 4(common difference

Substitute these value in the formula given above

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