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kolezko [41]
3 years ago
10

What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2 Enter your answer in the boxes.

Mathematics
1 answer:
Jet001 [13]3 years ago
6 0
We have the following system:
 y = -2x + 5
 3x-4y = 2
 Substituting y in equation 2 we have:
 3x-4 (-2x + 5) = 2
 We clear x:
 3x + 8x - 20 = 2
 11x = 2 + 20
 x = 22/11
 x = 2
 Then, we substitute x = 2 in equation 1:
 y = -2 (2) +5
 y = -4 + 5
 y = 1
 Answer:
 
The solution to the system of equations is:
 
x = 2
 
y = 1
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If you earn $1200 per month and you expect your earnings to increase by 10% per year, what monthly salary would you be making in
Sergio [31]
So u turn the percent into a decimal.
0.10 
Now multiply 1200 * 0.10
1200*0.10= 120 ( 120 is the amount that is gonna increase)
So if it says 5 years, than your gonna multiply 120 * 5 
120*5 =600
So your gonna add 600 to 1200.
So in five years your gonna be making 1,800.
An easier way would be to use prt
Principle * rate * time
1200 * 0.10* 5
= 600
So now you just add 600 to 1200
= 1800

7 0
3 years ago
A rabbit population doubles every 4 weeks. There are currently five rabbits in a restricted area. If t represents the time, in w
My name is Ann [436]
First, you have to find how many weeks are in 98 and to do so, you would divide it by 7. which turns out to be 14. If you divide 14 by 4 you'll find that their population will double 3 times, but not 3.5 because it is every 4 full weeks.
The equation will look like this, however, I'm not completely certain about the format. I'm using the formula for exponential growth
P(t)=r(2)^t
I did use t as weeks, but for every 4 weeks. R is the number of rabbits. If we were to input our information, we'd get:
P(3)=5(2)^3
If you work it out, you get 40 rabbits. In 14 weeks, the rabbits will double 3 times, so if we were to just figure it out without using the formula, we could double 5 which is 10, double it again, which is 20, and then double it a third time. which is 40.
6 0
3 years ago
HELP ME PLEASE!!!!!!
Free_Kalibri [48]

Step-by-step explanation:

$9.99 + $0.35t <= $12

$0.35t <= $2.01

t <= 5.74

The most number of toppings would be 5.

4 0
3 years ago
Read 2 more answers
I need help please!
den301095 [7]

9514 1404 393

Answer:

  f(g(x)) = 2/(x^2 +4x)

Step-by-step explanation:

  (f\circ g)(x)=f(g(x))\\\\(f\circ g)(x)=f(x+2)=\dfrac{2}{(x+2)^2-4}\\\\(f\circ g)(x)=\dfrac{2}{x^2+4x+4-4}\\\\\boxed{(f\circ g)(x)=\dfrac{2}{x^2+4x}}

3 0
2 years ago
Explain one way to add 3 digit numbers
Free_Kalibri [48]

Enter them into a calculator (most significant digit first), pressing the "+" key between them and the "=" key after the last one.

7 0
3 years ago
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