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2 years ago

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.

Mathematics

1 answer:

MatroZZZ [7]2 years ago

4 0

Answer:

Step-by-step explanation:

$\dfrac{a^{m}}{a^{n}}=a^{m-n} \ if \ m > n\\\\\\
\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}} \ if \ n > m\\$

$\dfrac{16r^{6}z^{3}}{8r^{2}z^{6}}=\dfrac{2r^{6-2}}{z^{6-3}}\\\\
=\dfrac{2r^{4}}{z^{3}}$

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What do you know to be true about the values of p and q?

artcher [175]

Answer:

p = q

Step-by-step explanation:

Angles in a triangle add up to 180°

For the left triangle:

180 = p + 20 + 80

p = 80

For the right triangle:

180 = q + 45 + 55

q = 80

Therefore, p = q

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3 years ago

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Find the distance between A and B

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Answer:

The distance between A and B is 2.6

Step-by-step explanation:

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3 years ago

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Solve for <3 A * 3 = [?] O = 43 44=90°

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Answer:

90°

Step-by-step explanation:

as a straight line is 180°

and the angle 4 is 90 degrees it must mean that the other side is 90 degrees too

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2 years ago

The table represents an exponential function. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4

scoray [572]

Answer:

The multiplicative rate of change of the function is $\dfrac{2}{3}$

Step-by-step explanation:

You are given the table

$\begin{array}{cc}x&y\\ \\1&6\\2&4\\ \\3&\dfrac{8}{3}\\ \\4&\dfrac{16}{9}\end{array}$

An exponential function can be written as

$y=a\cdot b^x,$

where b is the multiplicative rate of change of the function.

Find a and b. Substitute first two corresponding values of x and y into the function expression:

$6=a\cdot b^1\\ \\4=a\cdot b^2$

Divide the second equality by the first equality:

$\dfrac{4}{6}=\dfrac{a\cdot b^2}{a\cdot b^1}\Rightarrow b=\dfrac{2}{3}$

Substitute it into the first equality:

$6=a\cdot \dfrac{2}{3}\Rightarrow a=\dfrac{6\cdot 3}{2}=9$

So, the function expression is

$y=9\cdot \left(\dfrac{2}{3}\right)^x$

Check whether remaining two values of x and y suit this expression:

$9\cdot \left(\dfrac{2}{3}\right)^3=9\cdot \dfrac{8}{27}=\dfrac{8}{3}\\ \\9\cdot \left(\dfrac{2}{3}\right)^4=9\cdot \dfrac{16}{81}=\dfrac{16}{9}$

So, the multiplicative rate of change of the function is $\dfrac{2}{3}$

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3 years ago

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How can I solve this question

Ne4ueva [31]

Plug in the values 1,4, and 9 into the equation one by one. Plug it in as the x value.

y=-1/2 times root 1 = -1/2
(x,y)=(1,-1/2)

y=-1/2 times root 4 = -1
(x,y)=(4,-1)

y=-1/2 times root 9 = -3/2
(x,y)=(9,-3/2)

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3 years ago

Which expression is equivalent to the given expression? Assume the denominator does not equal zero. ​

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.