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3 years ago

8

Convert 5.764764764 … to a rational expression in the form of a over b, where b ≠ 0.

2 answers:

marishachu [46]3 years ago

8 0

Answer:

A

Step-by-step explanation:

Andru [333]3 years ago

5 0

<span>5 and 764 over 999 Converting a repeating decimal into a rational fraction is easy to do. So let's do it and see what we come up with to compare against the available options. 5.764764764 ... It's obviously 5 + some fraction 0.764764764 ... so X = 0.764764764 ... 1000 X = 764.764764764 ... - X 0.764764764 ... 999 X = 764 X = 764/999 So the answer is 5 and 764/999 Looking over the available options, only the response "5 and 764 over 999" matches.</span>

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The function y = f(x) is graphed below. What is the average rate of change of the

Serjik [45]

The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

<h3>What is the average rate of change?</h3>

The average Rate of Change of the function f(x) can be calculated as;

$f(x) = \dfrac{f(b) - f(a)}{b-a}$

Interval -3 ≤ x ≤-1

a = -3, b = -1

f(a) = f(-3) = -20

f(b) = f(-1) = 0

Step 2: Find Average

$f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10$

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

Learn more about average rate;

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3 0

2 years ago

which one of the following statements express a true proportion a.42:7=6:2 b.14:6=28:18 c. 3:5=12:20 d.2:3=3:2

Drupady [299]

C.) 3:5 = 12:20
It is this because you can divide them evenly into each other. 3*4 is 12 and if you do 5*4 it is 20. Boo yeah

3 0

3 years ago

Solve the equation.<br> 4+ 14 = – 2(7x-9)

Tamiku [17]

Answer:

-63

Step-by-step explanation:

4 0

3 years ago

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (6, 1280)(6,1280).

Phoenix [80]

Answer:

$y=20(2)^x$

Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

$y=ab^x$

The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:

$20=a(b)^0$

Simplify:

$20=a(1)\Rightarrow a=20$

So, our exponential function is now:

$y=20(b)^x$

Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:

$1280=20(b)^6$

Solve for <em>b</em>. Divide both sides by 20:

$64=b^6$

Therefore:

$b=\sqrt[6]{64}=2$

Hence, our function is:

$y=20(2)^x$

8 0

3 years ago

I will give brainliest to whoever gets this correct.

Oxana [17]

Answer:

0

Step-by-step explanation:

I'll comment if you need an explanation! Hope this helps! :)

5 0

3 years ago