Answer: There are 90 calories in a 6-ounce bottle.
Step-by-step explanation:
We assume that the quantity of juice in the bottle is directly proportional to the number of calories it contains.
Given: 10 ounces of juice has 150 calories.
i.e. 1 ounce of juice has
calories.
i.e. 1 ounce of juice has 15 calories.
Now, In 6 ounce of juice, the number if calories = 15 x 6 = 90 calories
Hence, there are 90 calories in a 6-ounce bottle.
Y = -6x - 15
We’re already at -3 (y) and the slope is negative so the y intercept is < -3. X is -2 and we need to find the y when x is 0. -2 is 2 away from 0 and 6 (the slope) times 2 is 12. -3 - 12 = - 15
Pythagorean Theorem:
a^2 + b^2 = c^2
10. 144 + 196 = 340
Yes, it is a right triangle
11. 256 + 361 does not equal 684 so it is not a right triangle
Answer:
- g(x) = 2|x|
- g(x) = -2|x|
- g(x) = -2|x| -3
- g(x) = -2|x-1| -3
Step-by-step explanation:
1) Vertical stretch is accomplished by multiplying the function value by the stretch factor. When |x| is stretched by a factor of 2, the stretched function is ...
g(x) = 2|x|
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2) Reflection over the x-axis means each y-value is replaced by its opposite. This is accomplished by multiplying the function value by -1.
g(x) = -2|x|
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3) As you know from when you plot a point on a graph, shifting it down 3 units subtracts 3 from the y-value.
g(x) = -2|x| -3
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4) A right-shift by k units means the argument of the function is replaced by x-k. We want a right shift of 1 unit, so ...
g(x) = -2|x -1| -3