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Flura [38]
3 years ago
10

What is the slope of this graph?A. -4B. 1/4C. -1/4D. 4​

Mathematics
1 answer:
meriva3 years ago
8 0

Answer:

-4 is the slope

Step-by-step explanation:

Because the line is going downwards that makes it a negative and if you count the boxes rise over run. You look for the point where the line meets a box perfectly and then you count the boxes down which is 4 and across which is one which makes it -4/1. So the slope is -4.

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F(1)=-12, f(n)=2f(n-1) <br> find first 4 terms
amid [387]
<h3>First four terms are:   -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

4 0
2 years ago
Tell whatever the ordered pair is a solution of the given system.
bagirrra123 [75]
1. No 2. Yes 3. No
I’m pretty sure
5 0
3 years ago
2. In 2010, the population of a town is 8500. The population decreases by 4.5% each year.
Korvikt [17]
This exponential growth/decay (in this case decay because r<1) of the form:

f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.

Since the population decreases by 4.5% each year the common ratio is:

r=(100-4.5)/100=0.955 so we can say

P(t)=8500(0.955^t)  

....

7000=8500(0.955^t)

14/17=(955/1000)^t  taking the natural log of both sides

ln(14/17)=t ln(955/1000)

t=ln(14/17)/ln(955/1000)

t≈4.22 years (to nearest hundredth of a year)

Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.
5 0
3 years ago
The depth of a lake, d, varies directly with r, the amount of rainfall last month. if k is the constant of variation, write an e
irina1246 [14]
Answer:
d = kr

Explanation:
We know that the depth (d) varies directly with the amount of rain (r).
This means that as the amount of rain increases, the depth increases and vice-versa.
The depth would depend on r multiplied by a constant of variation (k)

Translating this into equation, we would get the following:
d = kr

Hope this helps :)
4 0
3 years ago
Solve the system of equations using any method.
fenix001 [56]
In addition or subtraction?
Y+8=4
Y-12=2x-8
+12
—————-
Y=2x+14
8 0
3 years ago
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