Answer:
x cannot be -4,-3, or 13
x can be anything else
Step-by-step explanation:
There are infinitely many values x can take where the relation above will be a function.
For it to be a function, you just need to make sure each x is only assigned one y value.
So x couldn't be -4 because it would by assigned to y=2 and y=0.
x couldn't be -3 because it would be assigned to y=1 and y=0.
x couldn't be 13 because it would be assigned to y=5 and y=0.
So as long as x is not chosen to be -4,-3, or 13 your relation here is a function.
So let us analyze the given table above. In the first tax bracket, he doesn't have to pay tax on the dividends. The $565 he earned in dividends is not taxable as well. Also the common stock he bought for $705 since this is a long term evidence. So the only taxable would be <span>$780 in coupons on a corporate bond. So multiply this by 10% and you get $78. Therefore, the answer would be the first option. Hope this helps.</span>
Answer:
Using y = mx + c
slope = -17+5/3-1 = -12/2 = -6
Using point (1 , - 5)
y + 5 = -6(x - 1)
y + 5 = - 6x + 6
y = - 6x + 6 - 5
y = - 6x + 1
Hope this helps.
Answer: the bill for a hamburger is $0.7
the bill for a salad is $1.5
Step-by-step explanation:
Let x represent the bill for a hamburger.
Let y represent the bill for a salad.
The bill for five hamburgers and four salads is $9.50. This means that
5x + 4y = 9.5- - - - - - - - - - - - - - 1
The bill for four hamburgers and five salads is $10.30. This means that
4x + 5y = 10.3 - - - - - - - - - - - - - -2
Multiplying equation 1 by 4 and equation 2 by 5, it becomes
20x + 16y = 38
20x + 25y = 51.5
Subtracting, it becomes
- 9y = - 13.5
y = - 13.5/ - 9
y = 1.5
Substituting y = 1.5 into equation 1, it becomes
5x + 4(1.5) = 9.5
5x + 6 = 9.5
5x = 9.5 - 6 = 3.5
x = 3.5/5 = 0.7
Provided options are not clear.
But we know that 36 = 6² = (2·3)² = 2²·3²
