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Pachacha [2.7K]
2 years ago
13

What is the correct description for the system of linear equations?

Mathematics
1 answer:
Mkey [24]2 years ago
7 0
The slope of the first equation is -2, you can see it right off.

the slope of the second equation is 2, notice both are in slope-intercept form.

both equations are the equations of a line, so is really just two lines.

because their slope differs, they're not parallel or equivalent, therefore, they lines do meet at some point, and one point only, and therefore, they have 1 solution only.

a system of equations with at least 1 solution,  is a consistent system.

a consistent system with exactly 1 solution only, is not just consistent, but also independent.
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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
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bearhunter [10]
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7 0
2 years ago
(Brainliest) Can someone please answer this
Lorico [155]
1. The perimeter is 20. How I got that is to add all of them together- 9+3+3+3+2=20. The area is the area is 15. How I got that was I did the little square with 3 and 2 first. 3 times 2 = 6, then I did the 3 and 3 which = 9 and added those together 9+6=15

2. The perimeter is 15. How I got that is I add them all together. 6+3+2+2+2=15. The area is 10. I did 3 times 2 = 6, 2 times 2 = 4, 6+4=10
5 0
3 years ago
In August, the digits to the code number are I the prime factors of 150. What is the code number for the office door in August
lbvjy [14]

150 = 2 * 3 * 5 * 5. So the code for the door is 2355 in some order.

4 0
2 years ago
HELP!!!!!!!! THIS IS HARD!!!! I WILL GIVE BRAINLIEST!!! 1.Which proportion would you use to solve the following problem?
noname [10]

Answer:

Step-by-step explanation:

1. A

2.B

3. Don't see the choices, but the correct answer would be

4.A

5.B

6.A

7.B

8.1000/1=x/4200 1 Kilogram=1,000 grams

9.B

10. Answer: 1/5 = 8/x

4 0
2 years ago
Read 2 more answers
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