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3 years ago

Which is the better buy?

Mathematics

1 answer:

tatyana61 [14]3 years ago

8 0

Answer:

Step-by-step explanation:

1 quart = 32 fluid ounces

4 quart = 32 x 4 = 128 ounces

Rate of 128 ounces = 128 ÷ 5.12 = 25

Rate of 79 ounces = 79 ÷ 3.95 = 20

4 quart jug is a better buy

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What is the image point of (-7,1) after a translation left 4 units and down 5 units?

irina1246 [14]

The final point should end up at (-11,-4)

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3 years ago

3. Which of the following is equivalent to the expression 8^5 x 8^2

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2097152 is the answer to your question

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2 years ago

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List price List price: Divide 7434 items between four people, A,B,C and D in the proportions: 3:6:8:4. How many items do B and D

Dafna1 [17]

Answer:

B 2124

D 1416

Step-by-step explanation:

Take the ratio

A B C D Total

3 6 8 4 21 (3+6+8+4 = 21)

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3 years ago

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Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe

MatroZZZ [7]

Answer:

1) The parabola equation faces up

2) The y-intercept = a·b

3) The zeros are x = a and x = b

Step-by-step explanation:

1) The given information are;

f(x) = (x - a)·(x - b) which gives;

f(x) = x² - (b+a)·x + a·b

For an equation of the form a·x² - b·x + c, if a is positive, then the parabola faces up, therefore, the parabola equation, x² - (b+a)·x + ab where a is equivalent to +1 faces up

2) The y-intercept is given at x = 0, which gives;

f(0) = 0² - (b+a)·0 + a·b

The y-intercept = a·b

3) From f(x) = (x - a)·(x - b), when f(x) = 0, we have either;

(x - a) = 0 or (x - b) = 0

Therefore;

The zeros are x = a and x = b

4 0

3 years ago

Consider the function on the interval (0, 2π). f(x) = sin x + cos x (a) Find the open intervals on which the function is increas

Annette [7]

Answer:Increasing in x∈(0,π/4)∪(5π/4,2π) decreasing in(π/4,5π/4)

Step-by-step explanation:

given f(x) = sin(x) + cos(x)

f(x) can be rewritten as $\sqrt{2} [\frac{sin(x)}{\sqrt{2} }+\frac{cos(x)}{\sqrt{2} } ]..................(a)\\\\\ \frac{1}{\sqrt{2} } = cos(45) = sin(45)\\\\$

Using these result in equation a we get

f(x) = $\sqrt{2} [ cos(45)sin(x)+sin(45)cos(x)]\\\\= \sqrt{2} [sin(45+x)]..........(b)$

Now we know that for derivative with respect to dependent variable is positive for an increasing function

Differentiating b on both sides with respect to x we get

f '(x) = $f '(x)=\sqrt{2} \frac{dsin(45+x)}{dx}\\ \\f'(x)=\sqrt{2} cos(45+x)\\\\f'(x)>0=>\sqrt{2} cos(45+x)>0$

where x∈(0,2π)

we know that cox(x) > 0 for x∈[0,π/2]∪[3π/2,2π]

Thus for cos(π/4+x)>0 we should have

1) π/4 + x < π/2 => x<π/4 => x∈[0,π/4]

2) π/4 + x > 3π/2 => x > 5π/4 => x∈[5π/4,2π]

from conditions 1 and 2 we have x∈(0,π/4)∪(5π/4,2π)

Thus the function is decreasing in x∈(π/4,5π/4)

5 0

3 years ago