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vfiekz [6]
3 years ago
7

Which is the better value?

Mathematics
2 answers:
guapka [62]3 years ago
4 0
A. 6 ounces of hot cheetos
geniusboy [140]3 years ago
3 0

Answer:

B

Step-by-step explanation:

2.16/6 = 0.36 cents per 1 ounce

2.70/10 = 0.27 center per 1 ounce

Therefore B. 10 ounces of hot Cheetos for $2.70

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Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10
Andrej [43]
<span>For this case we have the following expression:
</span> \frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} &#10;&#10;
<span> We are going to make the following change of variables:
 </span>x = n ^ 2&#10;
 <span>Rewriting the expression we have:
 </span>\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} &#10;&#10;
 <span>Factoring the expression we have:
 </span>\frac{(x-5) (x-6)}{(x-5) (x-6)} &#10;
 <span>Canceling similar terms we have:
 </span>\frac{x-6}{x-2} &#10;
 <span>Returning the change we have:
 </span>\frac{n ^ 2-6}{n ^ 2-2} &#10;&#10;
<span> The resctrictions of the function are those that make the denominator equal to zero.
 We have then:
 </span>n ^ 2-2 = 0&#10;&#10;n = +/-  \sqrt{2} &#10;
<span> Answer:
 The simplified expression is:
 </span>\frac{n ^ 2-6}{n ^ 2-2}
 <span>The restrictions are:
 </span>n = \sqrt{2} &#10;
 n = -  \sqrt{2}
7 0
3 years ago
A cab charges $1.50 for the first mile and $0.50 for each additional mile. Write and solve an inequality to determine how many m
ValentinkaMS [17]
1.50 + 0.50(x-1) <u><</u> 25 

1.50 + 0.50x - 0.50 <u><</u> 25
1 + 0.50x <u><</u> 25
<u>-1                 -1</u>
      0.50x <u><</u> 24
  <u>    ÷0.50    ÷0.50</u>
               x <u><</u> 48

1.50 + 0.50x <u><</u> 25 ; x <u><</u> 47 miles     3rd option in the choices.

To check:

1.50 + 0.50(47) <u><</u> 25
1.50 + 23.50 <u><</u> 25
25 <u><</u> 25
5 0
3 years ago
Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....
Nuetrik [128]

Answer:

Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

Step-by-step explanation:

Considering the sequence

-5,\:-25,\:-125,\:-625,...

A geometric sequence has a constant ratio r and is defined by

g_n=g_0\cdot r^{n-1}

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}

\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5

\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}

r=5

So, the sequence is geometric.

as

\mathrm{The\:first\:element\:of\:the\:sequence\:is}

g_1=-5

r=5

so

g_n=g_1\cdot r^{n-1}

\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:

g_n=-5\cdot \:5^{n-1}

Therefore, Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

8 0
3 years ago
Helen rolls a dice and flips a coin. <br> calculate the probability
butalik [34]

Answer:

1/12

Step-by-step explanation:

dice rolling=1/6

coin flipping=1/2

Hence probability=1/6×1/2

4 0
2 years ago
Read 2 more answers
Which function would be produced by a horizontal stretch of the graph of y =
notka56 [123]

Answer:

the answer to you question is c

Step-by-step explanation:

7 0
3 years ago
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