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3 years ago

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