All categories

3 years ago

Which of the following properties is represented by the calculations in the photo?

Mathematics

1 answer:

musickatia [10]3 years ago

5 0

Answer:

D. zero product property

Step-by-step explanation:

Base on the Zero Product Property, if the product of factors gives us 0, either of the factors or both would equal 0.

Thus,

xy = 0, therefore,

x = 0 or y = 0

Therefore, the property that is represented by the calculation given in the photo is Zero Product Property.

You might be interested in

2. Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"

Gala2k [10]

Answer:

125

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the fifth term of an=3n-5

solong [7]

For the fifth term, n = 5.
Just replace n with 5 in the expression.
Then evaluate the expression.

$a_n = 3n - 5$

$a_5 = 3(5) - 5 = 15 - 5 = 10$

4 0

3 years ago

Which equation is equivalent to log subscript 3 baseline (x 5) = 2? 3 squared = left-bracket log subscript 3 baseline (x 5) righ

wolverine [178]

The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get $a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = \log_a(c)$

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

$\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)$

Log with base e = 2.71828... is written as $\ln(x)$ simply.

Log with base 10 is written as $\log(x)$ simply.

The equation given is:

$\log_3(x+5) = 2$

By using the definition of log, which says $a^b = c \leftrightarrow \log_a(c) = b$ , we get:

$(x+5) = 2^3$ or $2^3 = x+5$

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: $2^3 = x+5$

(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: $2^3 = x+5$

Learn more about logarithm here:

brainly.com/question/20835449

4 0

2 years ago

SOMEONE PLS HELP W 3 AND 4

Tpy6a [65]

Answer:

15 to the 3rd power and false

Step-by-step explanation:

8 0

3 years ago

I NEED HELP ON FINDING THIS USING PYTHAGOREAN THEOREM

uranmaximum [27]

X is approximately 62.23 units

Separate the square into two right triangles. Since all 4 sides of the square are congruent (equal to each other), they are all 44 units long. The Pythagorean Theorem is a^2 + b^2 = c^2, where a and b are sides of the triangle and c is the hypotenuse (longest side of the right triangle, in this case would be x).

44^2 + 44^2 = c^2
1936 + 1936 = c^2
3872 = c^2
Take the square root of both sides.
c is about 62.23
c = x, so x is around 62.23 units long

Hope this helps

5 0

4 years ago