Answer:
109
Step-by-step explanation:
3^2=9 -10^2=100
Answer:
Yes this is true.
Step-by-step explanation:
In a survey of a sample of computer users, 10% said their computer had a malfunction that needed to be repaired by a service technician.
The number 10% is a statistic because it is based on a sample of say x computer users, not the entire population of computer users.
And sample x can be any number like 500 or 600 etc. The entire population is in millions. And, sample is a part of population.
So, the answer is true.
Answer:
(-4,-8)
Step-by-step explanation:
Given :
---(1)
------(2)
Solution :
To find the solution of given system of equation we need to use the substitution method i.e. we need to substitute the value of x from equation (2) in equation (1).
⇒
⇒
⇒
Thus for x =-4 we get y = -8
Hence (-4,-8) is the solution to the given system of equations .
3x – y = 4
2x + y = 6
2. What is the y-coordinate of the solution to the system of equations?
5x - y = 25
4x + 3y = 1
3 . What is the x-coordinate of the solution to the system of equations?
x = y + 16
y + 4x = 9
4 . Graph the system of equations using technology.
What is the x-coordinate of the solution?
Round to the nearest hundredth.
-6x - 7y = 8
x + 5y = 11
The x-coordinates and y-coordinates of the given simultaneous equations are; as silver below.
1) To use linear combinations to solve the simultaneous equation;
3x – y = 4 ------(eq 1)
2x + y = 6 ---- (eq 2)
Add eq 1 to eq 2 to get;
5x = 10
divide both sides by 2 to get;
x = 2
Thus; 3(2) - y = 4
y = 6 - 4
y = 2
2) 5x - y = 25 ------(eq 1)
4x + 3y = 1 ----- (eq 2)
Make y the subject in eq 1 t get;
y = 5x - 25
Put 5x - 25 for y into the equation 2 to get;
4x + 3(5x - 25) = 1
4x + 15x = 76
19x = 76
x = 4
y = 5(4) - 25
y = -5
3) x = y + 16 - - - (eq 1)
y + 4x = 9 - - - (eq 2)
Put eq 1 in eq 2 to get;
y + 4(y + 16) = 9
y + 4y + 64 = 9
5y + 64 = 9
y = (9 - 64)/5
y = -11
Thus;
x = -11 + 16
x = 5
4) -6x - 7y = 8 - - - (eq 1)
x + 5y = 11 - - - (eq 2)
Make x the subject in eq 2 to get;
x = 11 - 5y
Put 11 - 5y for x in eq 1;
6(11-5y) -7y = 8
66 + 30y - 7y = 8
23y = -58
y = -2.5217
Thus;
x + 5(-2.5217) = 8
x = 8 + 12.608
x = 20.608
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it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.
To determine the number of weeks it takes for both you and your friend to have the same amount of money in your savings accounts, we need to set up an equation.
Let's denote the number of weeks as 'x'. For you, the amount of money in your savings account after 'x' weeks can be calculated as follows:
Amount of money in your account = $75 + $5x
For your friend, the amount of money in his savings account after 'x' weeks can be calculated as:
Amount of money in your friend's account = $30 + $10x
To find the number of weeks where you both have the same amount of money, we set up the equation:
$75 + $5x = $30 + $10x
Simplifying the equation:
$5x - $10x = $30 - $75
-$5x = -$45
Dividing both sides of the equation by -5 gives us:
x = 9
Therefore, it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.
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Answer:
9 weeks
Step-by-step explanation:
5x+75=10x+30
-5x -5x
75=5x+30
-30 -30
45=5x
÷5 ÷5
9=x
x=9