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Ipatiy [6.2K]
2 years ago
15

I need the formula for this graph

Mathematics
1 answer:
Nady [450]2 years ago
3 0

Answer:

y=\frac{1}{12} x+\frac{1}{4}

Step-by-step explanation:

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How many liters of peroxide should be added to 12 liters of an 8% peroxide solution so that the resulting solution contains 16%
Sav [38]
The question above may be solved using the overall mass and component balances. If we let x be the  number of liters of peroxide that should be added, the final mixture will have a quantity of x+12 L. The peroxide balance before and after mixing is,
                            x(1) + 12(0.08) = (x + 12)(0.16)
The value of x is 1.143. Thus, approximately 1.143 L of peroxide should be added to the original solution. 
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3 years ago
A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of –16. How many real number solutions does the equat
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\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{a}x^2\stackrel{\stackrel{b}{\downarrow }}{+b}x\stackrel{\stackrel{c}{\downarrow }}{+c} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ \stackrel{-16}{negative}&\textit{no solution}~~\checkmark \end{cases}

6 0
3 years ago
Read 2 more answers
78. Use properties of exponents to rewrite each expression as either an integer or as a quotient of integers p/q to show the exp
kolezko [41]

Answer:

4√2 × 4√8 = 64, an integer.

Step-by-step explanation:

a) 4√2 × 4√8

First let's remember that a square root can be rewritten as a 1/2 exponent,

Therefore the expression we have can be rewritten as

4(2^{1/2} )4(8^{1/2})

We are going to write all numbers in their prime factor expressions:

<u>*Note: Remember that when we multiply two numbers with the same base but different exponents we sum up the exponents*</u>

<u>*Also, when we elevate one exponent to another exponent, we multiply the exponents*</u>

4(2^{1/2} )4(8^{1/2})\\=2^2 (2^{1/2})2^2 (2^{3})^{1/2} \\ =2^2 (2^{1/2})2^2 (2^{3/2})\\=2^22^2(2^{1/2}2^{3/2})\\=16(2^{4/2})\\=16(2^2)\\=16(4)\\=64

Therefore, the expression 4√2 × 4√8 = 64 and therefore is an integer

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3 years ago
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rjkz [21]
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