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2 years ago

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

Mathematics

2 answers:

Anastaziya [24]2 years ago

7 0

commutative property

dolphi86 [110]2 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.

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If the standard deviation of a data set were originally 8, and if each value in

irina1246 [14]

The correct answer would be C. or 14

6 0

2 years ago

Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3. (2 points) Select one: a. x = -4

Kay [80]

Answer:

Step-by-step explanation:

$\dfrac{4}{x}+\dfrac{4}{x^2-9}=\dfrac{3}{x-3}$

Domain:

$x\neq0\ \wedge\ x^2-9\neq0\ \wedge\ x-3\neq0\\\\x\neq0\ \wedge\ x\neq\pm3$

solution:

$\dfrac{4}{x}+\dfrac{4}{x^2-3^2}=\dfrac{3}{x-3}$

use <em>(a - b)(a + b) = a² - b²</em>

$\dfrac{4}{x}+\dfrac{4}{(x-3)(x+3)}=\dfrac{3}{x-3}$

multiply both sides by (x - 3) ≠ 0

$\dfrac{4(x-3)}{x}+\dfrac{4(x-3)}{(x-3)(x+3)}=\dfrac{3(x-3)}{x-3}$

cancel (x - 3)

$\dfrac{4(x-3)}{x}+\dfrac{4}{x+3}=3$

subtract $\frac{4(x-3)}{x}$ from both sides

$\dfrac{4}{x+3}=3-\dfrac{4(x-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x}{x}-\dfrac{(4)(x)+(4)(-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-\bigg(4x-12\bigg)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-4x-(-12)}{x}\\\\\dfrac{4}{x+3}=\dfrac{-x+12}{x}$

cross multiply

$(4)(x)=(x+3)(-x+12)$

use FOIL

$4x=(x)(-x)+(x)(12)+(3)(-x)+(3)(12)\\\\4x=-x^2+12x-3x+36$

subtract 4x from both sides

$0=-x^2+12x-3x+36-4x$

combine like terms

$0=-x^2+(12x-3x-4x)+36\\\\0=-x^2+5x+36$

change the signs

$x^2-5x-36=0\\\\x^2-9x+4x-36=0\\\\x(x-9)+4(x-9)=0\\\\(x-9)(x+4)=0$

The product is 0 if one of the factors is 0. Therefore:

$x-9=0\ \vee\ x+4=0$

$x-9=0$ <em>add 9 to both sides</em>

$x=9\in D$

$x+4=0$ <em>subtract 4 from both sides</em>

$x=-4\in D$

7 0

2 years ago

Selena babysits on the weekends. The equation y = 12x represents the amount of money she earns. What is the constant of proporti

Allushta [10]

Answer:

Step-by-step explanation:

To find constant: y=k/x

the constant there is only 12

the answer is 12

y=12

---

y=12

7 0

2 years ago

Read 2 more answers

12 picks in all . 1 out of 4 picks are orange . the rest are green . How many picks are orange ?

makvit [3.9K]

For every 4 picks there is 1 orange pick, so 12/4 should be fine

7 0

3 years ago

After diving 86 feet below the surface, a diver ascends at 4 feet per minute. After 12 minutes pass, where is the diver located

Gemiola [76]

One possible way:
-86+(4*12)=-38
-86 is the number where the diver is. 86 feet below the surface.
4*12 is the total number of feet he has ascended in 12 minutes.
Because he is ascending, so you add 4*12 (or 48) to -86.
The answer is -38, meaning he's 38 feet below the surface.

The diver is now 38 feet below the surface.

Hope this helps.

7 0

2 years ago