Answer:
27 smoothies
Step-by-step explanation:
if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)
Answer:
(-5, 50) and (-1/3, -0.815)
Step-by-step explanation:
The equation is;
y = x³ + 8x² + 5x
Now the turning point will occur at where dy/dx = 0.
Thus;
dy/dx = 3x² + 16x + 5
At dy/dx = 0, we have;
3x² + 16x + 5 = 0
From quadratic formula, we can get;
x = -5 or -⅓
Thus, let's find y at this points.
y = -5³ + 8(-5)² + 5(-5)
y = -125 + 200 - 25
y = 50
Also,at x = -⅓, we have;.
y = (-⅓)³ + 8(-⅓)² + 5(-⅓)
y = -1/27 + 8/9 - 5/3
y = -0.815
Thus,the coordinates of the turning points are;
(-5, 50) and (-1/3, -0.815)
Answer:
x-intercept: (4, 0)
y-intercept: (0, 3)
Step-by-step explanation:
The intercepts of the equation can be found by setting each variable to zero and solving for the other. The graph will be a line through the intercept points.
<h3>Intercepts</h3>
Setting x=0 and solving for y, we have ...
4y -12 = 0 ⇒ y = 12/4 = 3
Setting y=0 and solving for x, we have ...
3x -12 = 0 ⇒ x = 12/3 = 4
The intercepts are ...
x-intercept: (4, 0)
y-intercept: (0, 3)
<h3>Graph</h3>
The line will go through these intercept points.
The answers are:
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[B]: "√12 " ; AND:
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[D]: "<span>√20" .
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Note: "Irrational numbers" have decimals that are: 1) non-terminating; AND: 2) non-repeating.
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Consider the answer choices given; and consider the given information that there "should be no more than one answer.
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Consider the following answer choices:
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Choice A) "</span><span>√9" = 3 . Rule out this choice.
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Choice C) "</span><span>√16" = 4 . Rule out this choice.
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Choice E) "</span><span>√25" = 5. Rule out this choice.
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We are left with 2 (two) remaining answer choices:
[B]: "</span>√12" ; and: [D]: "<span>√20" .
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If there are more than one answer, then these two choices should be the correct answer. However, let us explore these two choices, using a calculator.
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[B]: </span>"√12" = 3.4641016151377546
[D]: "√20" = 4.4721359549995794
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These two answer choices should the correct answers.
Answer: 105 grams
Step-by-step equation: they each eat 21 grams a day
