Answer:
easey, sub them
(x,y)
see if true
(0,1), 2(0)+1>-4, 1>-4, true
(4,-12), 2(4)+-12>-4, 8-12>-4, -4>-4, false
(5,-12), 2(5)+-12>-4, 10-12<-4, -2>-4, true
(-1,-1), 2(-1)+-1>-4, -2-1>-4, -3>-4, true
(-3,0), 2(-3)+0>-4, -6>-4, false
answers are
(0,1)
(5,-12)
(-1,-1)
Hopefully that helped you a little bit :)
Answer:
-5x-8-11y
Step-by-step
Because you shift 10x to -10x and then 5x-10x = -5x
You leave the -8 the same
You do 3y to -3y and then do -3y -8y = -11y
Hence altogether you get, -5x -8 -11y
Answer:
The student is incorrect.
Step-by-step explanation:
When you add the absolute value lines around a negative number, it becomes a positive number. If you add them to a positive number, it stays positive. Since the student added them to -9, the number would become 9 which if greater than 4.
Answer:
<u>The correct answer is 2. a = 1/2, b = - 3, c = -2</u>
Step-by-step explanation:
1. Let's review the information provided for an answering the question correctly:
0 =1/2x^2- 3x- 2
0 = 1/2x² - 3x - 2
2. Let's find the values for a, b and c.
According to the quadratic equation, we have:
a = 1/2
b = - 3
c = - 2
<u>The correct answer is 2. a = 1/2, b = - 3, c = -2</u>
2 (a): <span>Lena's method is correct
</span> (b) Explanation: - We can explain that she was correct by checking the equation. In order to check that, we have to put the values of x and y.
4y = 3x + 7
Substitute for y = 10, x = 11 [ Lena's answers ]
4(10) = 3(11) + 7
40 = 33 + 7
40 = 40 [ L.H.S. = R.H.S ]
Now, checking with 2nd equation,
9x + 4y -139 = 0
9(11) + 4(10) - 139 = 0
99 + 40 - 139 = 0
139 - 139 = 0
0 = 0 [ L.H.S. = R.H.S ]
As L.H.S. is equal to R.H.S. for both equation, She was correct
3) a) System of equations would be:
x + y = 1
x - y = 11
b) Solving the equation,
Take 2nd equation,
x - y = 11
x = 11 + y
Now, substitute it in 1st equation.,
x + y = 1
11 + y + y = 1
2y = 1 - 11
y = -10 / 2
y = -5
Substitute it in 2nd equation,
x - y = 11
x - (-5) = 11
x + 5 = 11
x = 11 - 5
x = 6
In short, x is equal to 6, and y is equal to -5
Hope this helps!