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Dimas [21]
3 years ago
15

Consider the following graph of a quadratic function.

Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

Answer:( x-4) ^2+3

Step-by-step explanation:Shifted to the right by 4. Shifted upward by 3

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The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
How do I figure this out
ddd [48]
I agree. There can't ever be 2 equal signs in A math problem
5 0
3 years ago
Help this is due today!!!
kompoz [17]

Answer:

Hello!!

What is the value of m?

0.61m-1.51m=9

m=-10

Step-by-step explanation:

Isolate the variable by dividing each side by factors that do not contain the variable

Hope this helps!!

6 0
2 years ago
Read 2 more answers
Find the m∠DCA A. 10 B. 29 C. 116 D. 40
Blizzard [7]
DCA is 116 because x=29, when you plug 29 into x you get 116
5 0
2 years ago
2,236.8 to the nearest ten
german

Answer:

Already rounded to the nearest tenth.

2236.8

Step-by-step explanation: k

6 0
3 years ago
Read 2 more answers
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