All categories

2 years ago

Find the coordinates of the vertex of the graph of the quadratic equation below. Identify the vertex as a minimum or a maximum.

Mathematics

1 answer:

Mama L [17]2 years ago

5 0

Answer: Vertex= (0,-8) [Maximum]

Step-by-step explanation:

The Vertex is the lowest or highest point On the graph. In this case it is -8 is the highest point.

it is maximum Because the graph is pointing downward. If it was pointing upward it would have a minimum.

You might be interested in

4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

harina [27]

Answer:

$y=3e^{-4t}$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

$L=\frac{3s+3}{s^2+5s+4}$

$L=\frac{3(s+1)}{(s+1)(s+4)}$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}$

$y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}$

7 0

2 years ago

It is fall and time for joseph to harvest his farm. He currently has 120 acres of wheat. With the help of his farm equipment he

salantis [7]

A. Roc= 14a/d (he can harvest 14 acres per day) so to get 120 acres of wheat he would have to harvest wheat for a little over 5 and a half days

4 0

2 years ago

G suppose that 8 green balls and 14 purple balls are placed in an urn. two balls are then drawn in succession. what is the proba

GenaCL600 [577]

Total number of balls = 8 + 14 = 22

P(2nd ball is purple) = 14/22 = 7/11

Answer: 7/11

8 0

2 years ago

I really need help with this Can someone help me thx Plsssssss

omeli [17]

Answer:

10x^2 - 4x

Step-by-step explanation:

5x - 2 times 2x will equal the area of 'Potatoes.'

5x times 2x is 10x^2.

2 times 2x is 4x.

I cannot provide an exact value because x hasn't been identified.

I hope this helps.

3 0

2 years ago

The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center

Katyanochek1 [597]

The length of one side of the octagon is given by:
$L = 72/8

L = 9$
Then, the apothem can be determined using the Pythagorean theorem in the following way:
$11.8 ^ 2 = (9/2) ^ 2 + a ^ 2
$
Clearing to have:
$a ^ 2 = 11.8 ^ 2 - (9/2) ^ 2$
$a = \sqrt{11.8 ^ 2 - (9/2) ^ 2}$
$a = 10.91$
Then, the area is given by:
$A = (8) * (1/2) * (L) * (a)
$
Where,
L: length of the octagon sides
a: apotema
Substituting values:
$A = (8) * (1/2) * (9) * (10.91)

A = 392.76 feet ^ 2$
Answer:
the approximate length of the apothem is:
a = 10.91 feet
The approximate area of the floor of the gazebo is:
A = 392.76 feet ^ 2

8 0

3 years ago

Read 2 more answers