Name the property shown. 5 × 7 = 7 × 5

Mathematics

2 answers:

Anastaziya [24]3 years ago

7 0

commutative property

dolphi86 [110]3 years ago

3 0

Answer:

Commutative Property of Multiplication (Numbers)

Step-by-step explanation:

Commutative Property of Multiplication. The commutative property of multiplication states that you can multiply numbers in any order. In English to commute means to travel or to change location. In math, the commutative property of multiplication allows us to change the places of factors in a product.

You might be interested in

What is 643 = 4 x 160 + n

nikitadnepr [17]

Its 3 cause 160 x 4 is 640 , so 643 - 640 is 3 so the answer of the problem is 3

8 0

3 years ago

How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160

Marina CMI [18]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}$

$\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^4=3^n\implies 4=n$

3 0

3 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

guajiro [1.7K]

Answer:

5 - x

Step-by-step explanation:

Given:

$f(x)=25-x^2$

$g(x)=x+5$

$\begin{aligned}\left(\dfrac{f}{g}\right)(x) & = \dfrac{f(x)}{g(x)}\\\\ & = \dfrac{25-x^2}{x+5}\\\\& = \dfrac{(5-x)(5+x)}{(x+5)}\\\\& = \dfrac{(5-x)(x+5)}{(x+5)}\\\\& = 5-x\end{aligned}$