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Svetach [21]
3 years ago
8

Please help!!! I don’t understand!

Mathematics
1 answer:
coldgirl [10]3 years ago
7 0

Answer:

a.

Step-by-step explanation:

Each system has a different purpose. one for the cost, and one for the pounds.

x+y=12 is for the pounds

since each pound of dried fruit cost $6 and each pound of nuts cost $2, and you can only spend $40,

6x+2y=40

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If logb2=x and logb3=y, evaluate the following in terms of x and y:
Alja [10]

log_b{162} = x + 4y\\\\log_b324 = 2x+4y\\\\log_b\frac{8}{9} = 3x-2y\\\\\frac{log_b27}{log_b16} = 3y-4x

<em><u>Solution:</u></em>

Given that,

log_b2 = x\\\\log_b3 = y --------(i)

<em><u>Use the following log rules</u></em>

Rule 1: log_b(ac) = log_ba + log_bc

Rule 2: log_b\frac{a}{c} = log_ba - log_bc

Rule 3: log_ba^c = clog_ba

a) log_b{162}

Break 162 down to primes:

162 = 2^1 \times 3^4

log_b{162} =log_b 2^1. 3^4\\\\By\ rule\ 1\\\\ log_b{162} = log_b 2^1 +log_b 3^4\\\\By\ rule\ 3\\\\1log_b2 + 4log_b3\\\\1x+4y\\\\x+4y

Thus we get,

log_b162 = x + 4y

Next

b) log_b 324

Break 324 down to primes:

324 = 2^2 \times 3^4

log_b324 = log_b 2^2.3^4\\\\By\ rule\ 1\\\\log_b324 = log_b2^2 + log_b3^4\\\\By\ rule\ 3\\\\log_b324 = 2log_b2 + 4log_b3\\\\From\ (i)\\\\log_b324 = 2x + 4y

Next

c) log_b\frac{8}{9}

By rule 2

log_b\frac{8}{9} = log_b8 - log_b9\\\\log_b\frac{8}{9} = log_b 2^3 - log_b3^2\\\\By\ rule\ 3\\\\log_b\frac{8}{9} =  3 log_b2 - 2log_b3\\\\From\ (i)\\\\log_b\frac{8}{9} =  3x - 2y

Next

d) \frac{log_b27}{log_b16}

By rule 2

\frac{log_b27}{log_b16} = log_b27 - log_b16\\\\ \frac{log_b27}{log_b16} = log_b3^3 - log_b2^4\\\\By\ rule\ 2\\\\ \frac{log_b27}{log_b16} = 3log_b3 - 4log_b2 \\\\From\ (i)\\\\\frac{log_b27}{log_b16} =  3y - 4x

Thus the given are evaluated in terms of x and y

3 0
3 years ago
The function shown is reflected across the y-axis to create a new function. Which is true about the domain and range of each fun
snow_lady [41]

Answer:

The range will remain the same, and the sign of the domain(positive/negative) will switch.

Explanation:

(-x,y)

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3 years ago
1. Use pictures or words to
8_murik_8 [283]

Answer:

Step-by-step explanation:

Good thing you said it was Canadian Money. Pennies are gone and loonies and toonies are used.

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1 Loonie =     $1.00

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Solve for X. No need to show work.
bija089 [108]

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... 4x² = x/2 . . . . . . . . square both sides

... 8x² - x = 0 . . . . . . . multiply by 2, subtract x

... x(8x -1) = 0 . . . . . . . factor

... x = 0 . . . or . . . x = 1/8 . . . . . . values of x that make the factors zero

The first case (x=0) is a "degenerate" case and is not useful. The entire triangle is a single point in that case.

The value of x is ...

... x = 1/8

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3 years ago
What is 123 7/10 + 978 67/90 answer fast pls
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<span>1102.4 repeating

</span>Hope the answer helps».«
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