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2 years ago

This is multi step equations+ 11 +829

Mathematics

1 answer:

navik [9.2K]2 years ago

3 0

Answer:

the sum is 48

Step-by-step explanation:

11 + 8 is equal to 19. When you add 29 to 19 the sum would be 48

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expression to approximate log a of x for all positive numbers a, b, and x, where a is not equal to 1 and b is not equal to one

amid [387]

Question:

Approximate log base b of x, log_b(x).

Of course x can't be negative, and b > 1.

Answer:

f(x) = (-1/x + 1) / (-1/b + 1)

Step-by-step explanation:

log(1) is zero for any base.

log is strictly increasing.

log_b(b) = 1

As x descends to zero, log(x) diverges to -infinity

Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.

Find a such that f(b) = 1

1 = f(b) = (-1/b + 1)/a

a = (-1/b + 1)

Substitute for a:

f(x) = (-1/x + 1) / (-1/b + 1)

f(1) = 0

f(b) = (-1/b + 1) / (-1/b + 1) = 1

7 0

2 years ago

Determine the rate of change of the following linear equation as it translates from (-5, -1) to any other point on the line.

anzhelika [568]

The rate of change of the linear equation is $-\frac{2}{3}$

Explanation:

The given two coordinates are $(-5,-1)$ and $(1,-5)$

To determine the rate of change, let us use the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates in the equation, we get,

$m=\frac{-5+1}{1+5}$

Simplifying, we have,

$m=\frac{-4}{6}$

Dividing, we get,

$m=-\frac{2}{3}$

Thus, the rate of change of the linear equation is $-\frac{2}{3}$

7 0

3 years ago

The minor arc is equal to the measure of the __________

ivanzaharov [21]

Carol baskin murdered her husband

4 0

2 years ago

Read 2 more answers

The first 50 terms of a pattern sum to 2000. describe the pattern

4vir4ik [10]

Hello,
a solution is 40,40,40,40,....,40

3 0

2 years ago

Patricia baked some cupcakes for sale. she put half of the cupcakes equally into 6 big boxes and the other half equally into sma

mojhsa [17]

Answer:

The answer is given below

Step-by-step explanation:

Let us assume Patricia baked x number of cakes. She put half of the cupcakes (i.e x/2) equally into 6 big boxes.

6 big boxes contained $\frac{x}{2}$ cakes, therefore 1 big box would contain $\frac{x}{2}/6=\frac{x}{12}$ cakes.

Let us assume she put the other half into 14 small boxes, therefore each small box would contain $\frac{x}{2}/14=\frac{x}{28}$ cakes.

There were 45 cupcakes in 3 big boxes and 8 small boxes altogether. That is: $3(\frac{x}{12} )+8(\frac{x}{28})=45\\ 84x+96x=15120\\180x=15120\\x=84$

Therefore Patricia baked 84 cup cakes

She sold all the small boxes and collected $189, i.e she sold 14 small box for $189. Each small box = $189/14 = $13.5

6 0

3 years ago

This is multi step equations+ 11 +829​

This is multi step equations+ 11 +829