Answer: Since each recipe makes 28 cookies, tripling the recipe would give him 28(3) = 84 cookies.
Step-by-step explanation: <em>Since each recipe makes 28 cookies, tripling the recipe would give him 28(3) = 84 cookies.
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<em>Then divide the total number of cookies by the number of guests: 84 21 = 4. Each person would get 4 cookies.</em>
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<em>This process can be modeled by the expressions 28(3) ÷ 21 and </em>
<em>28(3)
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<em>21
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<em>. This is because the fraction bar represents division.</em>
Answer:
Step-by-step explanation:4n+3=60
Step-by-step explanation:
f(x)=2x²+3x+9
g(x) = - 3x + 10
In order to find (f⋅g)(1) first find (f⋅g)(x)
To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)
We have
(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9
Expand
(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9
= 18x² - 120x + 200 - 9x + 30 + 9
Group like terms
(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9
(f⋅g)(x) = 18x² - 129x + 239
To find (f⋅g)(1) substitute 1 into (f⋅g)(x)
That's
(f⋅g)(1) = 18(1)² - 129(1) + 239
= 18 - 129 + 239
We have the final answer as
<h3>(f⋅g)(1) = 128</h3>
Hope this helps you
Answer:
1a. Yes
1b. No
1c. Yes
Step-by-step explanation:
