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PIT_PIT [208]
3 years ago
7

At the grocery store, sliced turkey deli meat is on sale for $11 for 2 pounds. a. What is the cost per pound of sliced turkey de

li meat? b. Write an equation to represent the cost "y" of sliced turkey deli meat measured in "x" pounds. *
Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

- $5.5 per pound

- y = 5.5x

Step-by-step explanation:

Given

$11 for 2 pounds

Solving (a): Cost per pound

This is calculated by dividing $11 by 2 pounds

Cost\ per\ pound = \frac{\$11}{2\ lb}

Cost\ per\ pound = \$5.5/\ lb

Hence, the cost per pound is $5.5 per pound

Solving (b): Represent as an equation.

If 1 pound costs $5.5 (as shown in (a))

Then

x pounds costs $5.5 * x

Cost = 5.5 * x

Cost = 5.5x

This cost is represented with y

y = 5.5x

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Any implication is logically equivalent to its contrapositive. In other words,

¬<em>p</em> ⇒ <em>q</em>   ⇔   ¬<em>q</em> ⇒ <em>p</em>

(¬ means the same thing as ~, "not")

To prove this: recall that

<em>p</em> ⇒ <em>q</em>   ⇔   ¬<em>p</em> ∨ <em>q</em>

This is because <em>p</em> ⇒ <em>q</em> is true if <em>p</em> is false, or both <em>p</em> and <em>q</em> are true, i.e.

<em>p</em> ⇒ <em>q</em>   ⇔   ¬<em>p</em> ∨ (<em>p</em> ∧ <em>q</em>)

Disjunction (∨ or "or") distributes over conjunction (∧ or "and"), so that

<em>p</em> ⇒ <em>q</em>   ⇔   (¬<em>p</em> ∨ <em>p</em>) ∧ (¬<em>p</em> ∨ <em>q</em>)

but ¬<em>p</em> ∨ <em>p</em> is always true, or a tautology, so we're just left with ¬<em>p</em> ∨ <em>q</em>.

Then

¬<em>p</em> ⇒ <em>q</em>   ⇔   <em>p</em> ∨ <em>q</em>

…   ⇔   <em>q</em> ∨ <em>p</em>

…   ⇔   ¬(¬<em>q</em>) ∨ <em>p</em>

…   ⇔   ¬<em>q</em> ⇒ <em>p</em>

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Answer:

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Step-by-step explanation:

– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1

To obtain the answer to question, let us apply the remainder theorem. This is illustrated below:

Assume:

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Next, we shall substitute the value of x into – 12x¹⁷+ 3x⁵ – 9x² – 1. This is illustrated below:

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Thus, using the remainder theorem,

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Answer:

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