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3 years ago

12

9x7x9x9x7x9in index notation

1 answer:

Bumek [7]3 years ago

5 0

9^4 and 7^2 which will add up and give you the same answer

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

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2 years ago

The order from least to greatest

Temka [501]

0.06, 1/10, 0.18, 0.2, 0.25, 0.75, 4/5, and 4/4

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3 years ago

Divide (x4 – 11x3 – 49x2 + 899x – 2506) ÷ (x – 8).

pickupchik [31]

Okay first make sure you change negative 8 to a positive 8.
Set the problem up 8 -11 -49 899 -2506
__________________
8 -11 -49 899 -2506
-88 -1096 -1576
____________________
-11 -137 -197 -4082

Your answer will be
-11x^3 - 137x^2 - 197x - 4082

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3 years ago

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sasho [114]

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or
{x | x < -3}

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