Answer:
The graph in the attached figure
Step-by-step explanation:
we have

This is a exponential function of the form

where
a is the initial value or the y-intercept
b is the base of the exponential function
If b>1 then is a exponential growth function
If b<1 then is a exponential decay function
In this problem
The y-intercept is equal to
For x=0

The y-intercept is the point (0,1)
so


The value of b is greater than 1
so
Is a growth function
To plot the graph create a table with different values of x and y
For x=-1
f(x)=2^-1=0.5
point (-1,0.5)
For x=1

point (1,2)
For x=2

point (2,4)
For x=3

point (3,8)
For x=4
f(x)=2^4=16
point (4,16)
Plot the y-intercept and the other points and connect them to graph the exponential function
Note that as x increases the value of y increases (exponential growth function)
The graph in the attached figure
Answer:
x = - 9, x = 10
Step-by-step explanation:
Given
x² - x - 90 = 0
Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)
The factors are - 10 and + 9, since
- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus
(x - 10)(x + 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 10 = 0 ⇒ x = 10
x + 9 = 0 ⇒ x = - 9
lesser x = - 9
greater x = 10
The two consecutive integers would be 10 and 12. Not 100% sure though.
We are given two relations
(a)
Relation (R)
![R=[((k-8.3+2.4k),-5),(-\frac{3}{4}k,4)]](https://tex.z-dn.net/?f=R%3D%5B%28%28k-8.3%2B2.4k%29%2C-5%29%2C%28-%5Cfrac%7B3%7D%7B4%7Dk%2C4%29%5D)
We know that
any relation can not be function when their inputs are same
so, we can set both x-values equal
and then we can solve for k







............Answer
(b)
S = {(2−|k+1| , 4), (−6, 7)}
We know that
any relation can not be function when their inputs are same
so, we can set both x-values equal
and then we can solve for k




Since, this is absolute function
so, we can break it into two parts


we get




so,
...............Answer
<span>Wind farms are composed of tens of wind mills that us electric generator to harness the power of the wind. The power that comes out of the electric generators should be proportional with the force or the wind which is also proportional to the speed of the wind. Considering that a 10 m/s generates 500 kW, than a 12 m/s wind should generate somewhere around 600 kW.</span>