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bogdanovich [222]
4 years ago
13

One brand of canned salmon is sold in four different sizes. What is the unit rate for each size to the nearest cent? If the cost

is less than a dollar, put a zero to the left of the decimal point.
Mathematics
1 answer:
Snowcat [4.5K]4 years ago
8 0

Answer:

<u>Unit Rate for Each Size (nearest cent):</u>

Size A = 48 cents ($0.48)

Size B = 39 cents ($0.39)

Size C = 34 cents ($0.34)

Size D = 36 cents ($0.36)

Step-by-step explanation:

The four different sizes are:

<em>"Size A The 7 1/5 -ounce can costs $3.49. </em>

<em>Size B The 16 1/2 -ounce can costs $6.49. </em>

<em>Size C The 24 3/4 -ounce can costs $8.49. </em>

<em>Size D The 30 2/3 -ounce can costs $10.99."</em>

<em />

To find the unit rate for each, we take the total price and divide by the total ounce. let's do this for each.

Size A = \frac{3.49}{7\frac{1}{5}}=0.48

Size B = \frac{6.49}{16\frac{1}{2}}=0.39

Size C = \frac{8.49}{24\frac{3}{4}}=0.34

Size D = \frac{10.99}{30\frac{2}{3}}=0.36

<u>Unit Rate for Each Size (nearest cent):</u>

Size A = 48 cents ($0.48)

Size B = 39 cents ($0.39)

Size C = 34 cents ($0.34)

Size D = 36 cents ($0.36)

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Find [g *h](x) and [h*g](x) . g(x) = 5x h(x) = –10x3 + 13x2 – 3x + 3
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Answer:

(g ο h)(x) = -50x³ + 65x² - 15x + 15

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Step-by-step explanation:

* Lets explain the composite function

- A composite function is a function that depends on another function

- A composite function is created when one function is substituted into

another function  

- Example:

# (f ο g)(x) is the composite function that is formed when g(x) is  

 substituted for x in f(x).

* Now lets solve the problem

∵ g(x) = 5x

∵ h(x) = -10x³ + 13x² - 3x + 3

- To find (g ο h)(x) replace x in g by h(x)

∴ Replace x by -10x³ + 13x² - 3x + 3

∴ (g ο h)(x) = 5(-10x³ + 13x² - 3x + 3)

∴ (g ο h)(x) = -50x³ + 65x² - 15x + 15

- To find (h ο g)(x) replace each x in -10x³ + 13x² - 3x + 3  by g(x)

∴ Replace each x in -10x³ + 13x² - 3x + 3 by 5x

∴ (h ο g)(x) = -10(5x)³ + 13(5x)² - 3(5x) + 3)

∴ (h ο g)(x) = -10(125x³) + 13(25x²) - 15x + 3

∴ (h ο g)(x) = -1250x³ + 325x² - 15x + 3

* (g ο h)(x) = -50x³ + 65x² - 15x + 15

 (h ο g)(x) = -1250x³ + 325x² - 15x + 3

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