Answer:
A, C and F
Step-by-step explanation:
The given function is
It is an exponential function of the form
On comparing both the functions, we get
It means the initial value is 5 and growth factor is 3.
Since both values are positive it means the given functions is an exponential growth function, therefore,
1. The graph is increasing by a common ratio of 3.
2. As x increases, y increases.
3. As x decreases, y approaches 0.
Hence, the correct options are A, C and F.
Answer:
He saw <u>1 duck</u> and <u>3 dogs</u>.
Step-by-step explanation:
Given:
Evan went to the park and saw four animals.
Each animal was either a duck or a dog.
He saw a total of 14 legs.
Now, to find the number of each animal he had seen.
Let the number of duck be 
And the number of dog be 
So, total number of animals:

Now, the total number of legs he did see:
<em>As we know the legs of a duck are 2 and a dog are 4.</em>
Adding both sides by -16 we get:

Dividing both sides by -2 we get:

The number of duck = 1.
Now, putting the value of
in above equation we get:


The number of dogs = 3.
Therefore, he saw 1 duck and 3 dogs.
The area of the rectangle is 108 square centimeters.
Given Information
The following information has been given in the question,
Length of the diagonal of the rectangle, l = 15 cm
Length of one of the sides of the rectangle, a = 9 cm
Let the other side of the rectangle be b.
Finding the Other Side of the Rectangle
According to Pythagoras Theorem,
(hypotenuse)² = (base)² + (perpendicular)²
Applying this theorem in the right-angle triangle formed by the diagonal and 9cm side of the rectangle, we get,
l² = a² + b² [∵ The diagonal makes the hypotenuse]
(15)² = (9)² + b²
b² = (15)² - (9)²
b² = 225 - 81
b² = 144
b = √144
b = 12 cm
Calculating the Area of the Rectangle
Area of the rectangle, A = a × b
A = 9 × 12
A = 108 cm²
Learn more on a rectangle here:
brainly.com/question/15019502
#SPJ4
Answer:
x=55.5
Step-by-step explanation:
2x=111
Isolate x by dividing both sides by 111
x=55.5
It opens upward and the vertex is (2,-6) here are some plotted points: (0,6),(1,-3),(2,-6),(3,-3),(4,6). Hope that helps. I hate graphing but if you do it enough times you'll get the hang of it!