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Vadim26 [7]
3 years ago
7

Trey is buying peach and blueberry yogurt cups. He will buy at most 8 cups of yogurt. Let x be the number of peach yogurt cups a

nd y be the number of blueberry yogurt cups he buys. Write an inequality to represent this situation
Mathematics
1 answer:
Paraphin [41]3 years ago
6 0

Answer:

8 ≤ x + y

Step-by-step explanation:

First you need to consider what is in the problem.

max number of cups = 8

x = number of peach cups

y = number of blueberry cups

Using this information, create an inequality that represents the situation

8 ≤ total number of cups

total number of cups = x + y

8 ≤ x + y

This is therefore the most representative equation for the situation.

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salantis [7]

Answer:

They are consecutive terms in the Fibonacci Sequence.

Step-by-step explanation:

The sequence goes 1,1,2,3,5,8,13,21,...

Since 13 and 21 are consecutive here, that is the answer.

8 0
2 years ago
Find the mean, median, mode and range of the given data set. 12, 15, 17, 9, 17 a. 14, 15, 17, 8 c. 7, 14, 15, 17 b. 14, 12, 17,
Alex

Answer:

a. 14, 15, 17, 8

Step-by-step explanation:

5 0
3 years ago
Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that
sweet [91]

Answer:

f(x,y) = \log_{4} (x-5-\sqrt{25-6\cdot y})+\log_{4} (x-5+\sqrt{25-6\cdot y})

Step-by-step explanation:

Let be f(x,y) = \log_{4}(2\cdot x^{2}-20\cdot x +12\cdot y), this expression is simplified by algebraic and trascendental means. As first step, the second order polynomial is simplified. Its roots are determined by the Quadratic Formula, that is to say:

r_{1,2} = \frac{20\pm \sqrt{(-20)^{2}-4\cdot (2)\cdot (12\cdot y)}}{2\cdot (2)}

r_{1,2} = 5\pm \sqrt{25-6\cdot y}

The polynomial in factorized form is:

(x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})

The function can be rewritten and simplified as follows:

f(x,y) = \log_{4} [(x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})]

f(x,y) = \log_{4} (x-5-\sqrt{25-6\cdot y})+\log_{4} (x-5+\sqrt{25-6\cdot y})

3 0
3 years ago
Show that sinxtanx=1-cos^2x/cosx
yawa3891 [41]
LHS: = \sin x \tan x =  \frac{\sin x \sin x }{\cos x} =  \frac{\sin^2 x}{\cos x} (using \tan x =  \frac{\sin x}{\cos x})

We know \sin^2x + \cos^2x = 1 \Rightarrow \sin^2x=1-\cos^2x so we can replace the sin²x in the LHS expression as follows

\frac{\sin^2x}{\cos x} =  \frac{1-\cos^2x}{\cos x} which is the RHS.
7 0
3 years ago
Please help with 3. 4. 5.
Eddi Din [679]
3.
\text{The Triangle Sum Theorem:}\\m\angle A+m\angle B+m\angle C=180^o
x+2x-1+3x+1=180\\6x=180\ \ \ |:6\\x=30
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r-6+3r-3+5r=180\\9r-9=180\ \ \ |+9\\9r=189\ \ \ |:9\\r=21
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4 0
3 years ago
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