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Brums [2.3K]
3 years ago
14

Can you guys please help me!!!

Mathematics
1 answer:
Dimas [21]3 years ago
5 0

Answer:

x=6

Step-by-step explanation:

When we multiply exponents with the same base we add the exponents

When we divide exponents with the same base we subtract the exponents

4^3 * 4^3 ÷4^3 *4^3

We will work from left to right

Multiply means add

4^(3+3) ÷4^3 *4^3

4^6÷4^3 *4^3

Now divide means subtract

4^6÷4^3*4^3

4^(6-3)*4^3

4^3 *4^3

4^3*4^3

Multiply means add

4^(3+3)

4^6

4^6 = 4^x

The bases are the same so the exponents must be the same

x=6

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An example below

Step-by-step explanation:

5(4a + 7(a + 2b))

First simply the inside bracket using distributive property:

7(a + 2b)

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5(4a + 7a + 14b)

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Use distributive property again

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Write the equation of a line in slope-intercept form that goes through the points
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Answer: The equation in slope-intercept form is y=2x-11

Step-by-step explanation: Slope-intercept is y=mx+b where m is the slope and b is the y-intercept. To find the slope, you find the difference between the y values divided by the difference between the x values. -5-(-9) = 4, and 3-1 is 2. 4/2 is 2, so m = 2. Since the slope is 2, it states for every x you move on the right you move 2 up. But we are trying to get the y-intercept, so x = 0. We are subtracting 1 in our x value, so we move 2 downwards. We subtract 2 from -9 which gives us -11, which is our y-intercept.

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3 years ago
A philanthropist pledges to donate 10% of a fund each year. If the fund initially has $450,000 how much will
Ann [662]

After 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent. \rm y = a^x

where a is a constant and a>1

We have:

A philanthropist pledges to donate 10% of a fund each year.

We can find the amount left after 7 years as follows:

A = 450000(1 - 0.1)⁷

10% of a fund each year.

Rate r = 10% = 0.1

A = 450000(0.9)⁷

A = $2152336.05

Thus, after 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

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