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Alona [7]
1 year ago
10

Tamara is at the store buying pencils. There is a package with 4 pencils that costs $6 or a package with 5 pencils that costs $7

. Which package is the better buy?A. The $7 package, because each pencil costs $1.40.B. The $6 package, because each pencil costs $0.67.C. The $6 package, because each pencil costs $1.50.D. The $7 package, because each pencil costs $0.71.
Mathematics
1 answer:
Mkey [24]1 year ago
8 0

In order to determine the cost of each pencil we have to divide the total cost for the package of pencils by the number of pencils contained

For the 4 pencils box:

Cost per pencil = Total cost/number of pencils

Cost per pencil = 6/4 = 1.5

Similarly, for the 5 pencils package:

Cost per pencil = 7/5 = 1.4

As you can see, the $7 package is better to buy, because each pencil costs $1.4, then, option A is the correct answer

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Answer:

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Step-by-step explanation:

From the question, we have that:

\frac{p(x)}{x + 4}  =  {x}^{2}  - 7x + 34 -  \frac{144}{x + 4}

This implies that:

p(x)=(x + 4)(  {x}^{2}  - 7x + 34) - 144

To find p(-4), we put x=-4

p( - 4)=( - 4+ 4)(  {( - 4)}^{2}  - 7 \times  - 4 + 34) - 144

p( - 4)=( 0)(  {( - 4)}^{2}  - 7 \times  - 4 + 34) - 144 =  - 144

To find p(0), we put x=0 to get:

p( 0)=( 0+ 4)(  {( 0)}^{2}  - 7 \times  0+ 34) - 144

p( 0)=(4)( 34) - 144 =  - 8

The correct answer is B

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Since the triangular base has not a right-angled form. That is, the longest side is greater than value of hypotenuse, meaning that triangular base has a form of a obtuse-angle triangle.

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