Answer:
y = -1/2x + b meaning f(x) = -1/2x + b
Step-by-step explanation:
Use two points on the graph that you can find the value of or use Slope = raise/run
let use points (2,0) and (0, 1)
slope = (change in the y-value)/(change in the x-value.
slope = (1 - 0)/(0 - 2)
slope = 1/-2 or -1/2
Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.
slope = raise/run
slope = 1/-2 or -1/2
Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .
y= mx + b
0 = -1/2(2) + b
0 = -1 + b
1 = b
Now write your equation: y = mx +b where m = -1/2 and b = 1
y = -1/2x +b
Answer:
If I've done it right the answer should be A, the figures are congruent because a 270 rotation about the origin a d a reflection of the x-axis
Answer:
<em>C(19)=12 responses</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function can be expressed as follows:

Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.
This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.
The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:

Calculating:

We are required to calculate the number of responses at day t=19, thus:

C(19)=12 responses
Answer:x=7 y=5
Step-by-step explanation:
I just took it, sorry I'm not good at math and just guessed until I got it right for this answer.
Answer:
104 degrees
Step-by-step explanation:
First let's start by finding Angle DGC. Since Angle FGD and DGC are a linear pair, Angle DGC = 180-90 = 90 degrees.
Next we need to find GDC
Angles in a triangle add up to 180 degrees therefore...
Angle GDC + DCG + DGC = 180
Plug in the values we found into the equation
Angle GDC + 37 + 90 = 180
Angle GDC + 127 = 180
Angle GDC = 53
Therefore Angle ADC = 53 + 51 = 104 degrees
Since ABCD is a parallelogram, then opposite angles are equal therefore...
Angle B = 104 degrees