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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:

The answer is C 66%

Step-by-step explanation:

5 0
3 years ago
Suppose you are putting up a tent for a camping trip.
SSSSS [86.1K]

The length of the rope needed is 15 feet

Given the following parameters;

  • Height of the pole = 9 foot
  • The distance from the <u>rope away from the base </u>of the pole is 12 feet

Required

  • Length of the rope.

To get the length of the rope, you will use the pythagoras theorem expressed as:

  • c² = a² + b²

Substituting the given parameters:

c² = 9² + 12²

c² =81 + 144

c² = 225

c = √225

c = 15 feet

Therefore the length of the rope needed is 15 feet

Learn more on Pythagoras theorem here: brainly.com/question/231802

7 0
2 years ago
A standard brick is 3.625 inches wide, 2.25 inches high, and 7.625 inches long. How many bricks could be in a pallet of bricks t
Snezhnost [94]

Answer: Option D. 1,778

Solution:

Standard brick:

Width: w=3.625 in

Height: h=2.25 in

Length: l=7.625 in

Volumen of one standard brick: v

v=w*h*l

v=(3.625 in)*(2.25 in)*(7.625 in)

v=62.19140625 in^3

Pallet of bricks:

Side: s=4 feet

s=(4 feet)*(12 in / 1 feet)→s=48 in

Volume of a pallet of bricks: V=s^3

V=(48 in)^3

V=110,592 in^3

Number of bricks could be in  a pallet: n

n=V/v

n=(110,592 in^3) / (62.19140625 in^3)

n=1,778.252119

n=1,778

6 0
3 years ago
Read 2 more answers
Plss answer it correctly...I need asap​
lina2011 [118]

Answer:

sorry I cannot understand that

4 0
2 years ago
Solve the equation for x.
liq [111]

Answer:

x=55

Step-by-step explanation:

The given equation is \sqrt{x-6}+3=10

Group similar terms to get:

\sqrt{x-6}=10-3

\sqrt{x-6}=7

Square both sides to obtain:

x-6=7^2

x-6=49

Add 6 to both sides

x=49+6

Simplify the right hand side to obtain;

x=55

6 0
3 years ago
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