1. Stretched by a factor of 7
2. Translated 8 units to the right
Let's set up some equations.
We know that 7/8 of a liter fills up our bottle 5/6 of the way. Thus 7/8=5/6 * b.
Now, let's divide both sides by 5/6 to get b = 21/20. However, none of the answer choices provided are correct. Let's look at each one to determine why it's not correct.
A. This answer is false because 35/48 < 7/8. If 7/8 of a liter doesn't completely fill up the bottle, there is no way that a value less than 7/8 can fill up the bottle - it's impossible.
B. Same case as answer A, but 11/38 instead of 35/48.
C. Same case as answer A, but 11/20 instead of 35/48.
D. This answer however is more than 35/48, so is it correct? No. 113/35 is just over 3. Since 7/8 of a liter almost fills the bottle but does not quite completely fill it, there is no way that adding 2 more liters can fill up the bottle just the tiny 1/6 of the way. That is disproportional and is thus wrong.
Answer:
y = 17x
Step-by-step explanation:
By looking at the y-values of the table, we can see that they increase by 17 for every increase of 1 in the x-values.
This means are slope is 17.
We can prove this by plugging two points into the slope equation: (y₂ - y₁) / (x₂ - x₁)
(1, 17) & (3, 51)
(51 - 17) / (3 - 1)
Simplify the parentheses.
(34)/(2)
Divide.
17
Your slope is 17.
Plug this into your standard slope-intercept equation.
y = 17x + b
To find b, plug in a point to x and y. (1, 17)
17 = 17(1) + b
Multiply.
17 = 17 + b
Subtract.
b = 0
Your equation is: y = 17x + 0 or just y= 17x.
You can also tell by looking at the table. b is the y-intercept, or the value when x = 0. The table shows that when x = 0, y = 0. Therefore, b = 0.
Check your equation by plugging in the other point.
34 = 17(2)
34 = 34
Your equation is correct.
Hope this helps!
Answer:
Negative
Step-by-step explanation:
since, anything to the 4th power is positive, a^4 will always be positive, and the expression will always be negative.
