Answer:
<em>Exponential growth function</em>
Step-by-step explanation:
The table below represents some function between x and y:
x - 4 - 5 - 6 - 7
y - 15 - 90 - 540 - 3240
We are required to find if it's exponential growth, decay, or neither.
An exponential function is identified because each term is calculated as the previous term multiplied by a constant factor.
The values of x grow in increments of 1 and the values of x grow by a factor of 90/15 = 6, 540/90 = 6, 3240/540 = 6
Since there is a common factor and it's greater than 1, the function is exponential growth.
Answer:
y=0x+5
Step-by-step explanation:
Answer:
Center = -3,2
radius = sqrt(65)
(x+3)^2 + (y-2)^2 = 65
Step-by-step explanation:
We can find the center of the circle by finding the midpoint of the diameter
midpoint = (x1+x2)/2, (y1+y2)/2
= (-10+4)/2, (-2+6)/2
= (-6/2), (4/2)
= -3, 2
Center = -3,2 = (h,k)
The radius is the distance from the midpoint to one of the points on the diameter. Using the points (-3,2) and (4,6)
distance = sqrt ( (x2-x1)^2 + (y1-y2)^2)
= sqrt(( 4--3)^2 + (6 -2)^2)
= sqrt(( 4+3)^2 + (6 -2)^2)
= sqrt( 7^2 + 4^2)
= sqrt(49+16)
radius = sqrt(65)
The equation of a circle is given by
(x-h)^2 + (y-k) ^2 = r^2
(x--3)^2 + (y-2)^2 = sqrt(65)^2
(x+3)^2 + (y-2)^2 = 65
Answer: y= 6 x = 92
Step-by-step explanation:
Answer:
x= -4
Step-by-step explanation:
6(x+2)-(2x-4) = 0 (make it equal to 0 to be able to solve for x)
6x + 12 - 2x + 4 = 0 (distributed)
4x + 16 = 0 (added alike terms)
4x = -16 (moved the 16 to the other side and leave the x term alone)
x = -4 (solved for x by dividing -16/4)