The intercept form of a straight line equation is $\frac{x}{a} + \frac{y}{b} = 1$ , where the x-intercept of the line is at (a,0) and the y-intercept will be at (0,b).

So, we have to arrange the equation of a straight line in the intercept form and then we can easily find the x-intercept and y-intercept of the line.

Given equation is x + y = 2

⇒ $\frac{x}{2} + \frac{y}{2} = 1$

Therefore, the x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).

Now, locate the two points as obtained on the graph and join them with a straight line and you will get the graph of the line. (Answer)

8 0

3 years ago

The rabbit population in a small zoo starts with 150 rabbits. The rabbit population is decreasing at a rate of 15% each week. Wh

Mariulka [41]

Answer:

Option D $F(x)=150(0.85)^{x}$

Step-by-step explanation:

In this problem we have a exponential function of the form

$F(x)=a(b)^{x}$

where

F(x) -----> the rabbit population

x ----> the number of weeks

a is the initial value

b is the base

In this problem we have

a=150 rabbits

b=1-r

r=15%=15/100=0.15

b=1-0.15=0.85

substitute the values

$F(x)=150(0.85)^{x}$

8 0

3 years ago

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Help me plz

Sindrei [870]

96 seconds because if it shoots out 1/3 of a gallon per second we have to multiply that by 3. so it takes 3 seconds per gallon. so 3x32 is 96

8 0

3 years ago

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