Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it. We can call it anything. I'd like to call it ' G '.
The number we're looking for is ' G '.
Half of it is 1/2 G
The sum of that and 6 is 1/2 G + 6
Ten times that is 10 (1/2 G + 6)
The question says that's 8.
So 10 (1/2 G + 6) = 8
Divide each side by 10 : 1/2 G + 6 = 0.8
Subtract 6 from each side: 1/2 G = - 5.2
Multiply each side by 2 : G = - 10.4
That seems like a weird answer. We should check it.
The number: -10.4
Half the number: - 5.2
The sum of half the number and 6: -5.2 + 6 = +0.8
Ten times that sum: 8
Yep ! By golly, sho nuff, dV-dT and E to the X !
Everything checks out, and the mystery number is - 10.4
Answer:
x = 2
y = 1
Step-by-step explanation:
3x - y = 5..............(1)× 1
2x + y = 5...….......(2)× 1
3x - y = 5..............(3)
2x + y = 5.............(4)
Cancel y
3x + 2x = 5 + 5
5x = 10
Divide both sides by 5
x = 2
Substitute for the value of y
3x - y = 5
3(2) - y = 5
6 - y = 5
6 - 5 = y
1 = y
y = 1
Answer:
A. (-1, 3)
Step-by-step explanation:
To solve, find which point in the options are in the double shaded region (the region that is shaded the darkest which is the region above the point where the lines cross).
A. (-1, 3) is the correct answer because it falls in the correct region.
B. (-4, 1) is not the correct answer because it does not fall ABOVE both lines like the question says.
C. (0, 1) is not the correct answer because it falls in the 2nd darkest region.
Step-by-step explanation:
Distribute:
=−x2+−4x+−4+7
Combine Like Terms:
=−x2+−4x+−4+7
=(−x2)+(−4x)+(−4+7)
=−x2+−4x+3
Answer:
=−x2−4x+3
