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1 year ago

Which expression is equivalent to 4^-5 • 3^-5 ?

Mathematics

1 answer:

valkas [14]1 year ago

7 0

The expression equivalent to 4^-5 • 3^-5 is 12^-5

<h3>What are equivalent expressions?</h3>

Equivalent expressions are simply known as expressions with the same solution but different arrangement.

Given the index expressions;

4^-5 • 3^-5

Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.

This can be written as;

4(3) ^ -5

expand the bracket

12^-5

Thus, the expression equivalent to 4^-5 • 3^-5 is 12^-5

Learn more about equivalent expressions here:

brainly.com/question/24734894

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COS Find the quotient when the polynomial expression is divided by a binomial Find the quotient ANSWER SOLUTION CHOICES X2+11x+

ryzh [129]

Answer:

x=−1 or x=−9

Step-by-step explanation:

x2+11x+10=x+1

Step 1: Subtract x+1 from both sides.

x2+11x+10−(x+1)=x+1−(x+1)

x2+10x+9=0

Step 2: Factor left side of equation.

(x+1)(x+9)=0

Step 3: Set factors equal to 0.

x+1=0 or x+9=0

x=−1 or x=−9

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2 years ago

Which piecewise function is shown in the graph?

mash [69]

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different <em>linear</em> functions. <em>Linear</em> functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b (1)

Where:

x - Independent variable.
y - Dependent variable.
m - Slope
b - Intercept

By direct observation and by applying (1) we have the following <em>piecewise</em> function:

$f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$

To learn more on piecewise functions: brainly.com/question/12561612

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1 year ago

Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.<br>

tino4ka555 [31]

Pythagorean theorem.

a^2+b^2=c^2

This means that the square of the length of the 2 legs of a right triangle added together = the square of the length of the hypotenuses or diagonal.

If you know 2 of the values in the 3 variables a,b,c what would you do to find the missing variable value?

I will not write the exact answers to this problem. I think you can figure how to write it out yourselves.

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2 years ago

What is the ratio of red sections to total sections, in lowest terms?

Tanzania [10]

Hello there! Your answer would be 1/4.

So to start, count up the total number of sections, and the number of red sections. There are 16 sections total, and 4 of them are red.

This can give us the ratio 4/16.

But next we need to simplify. What is the biggest number that can be divided by both 4 and 16? 4. So, divide both 4 and 16 by 4 to get your simplified answer.

4÷4/16÷4

1/4

So, the ratio of red sections to total sections, in lowest terms is 1/4.

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3 years ago

Read 2 more answers

Dave rented a limousine for his wife's birthday. The hourly rate is $70. They used the limousine for 5 hours, plus Dave gave the

denis-greek [22]

Answer:

i think that in total, he spent $385

Step-by-step explanation:

70 times 5, and then find 10% of that

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2 years ago