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LenaWriter [7]
3 years ago
9

Is the commutative property used in this question? 5(75×20) = (20×75)5 yes or no

Mathematics
2 answers:
Paladinen [302]3 years ago
8 0

yes, commutative proprety is used in that question


diamong [38]3 years ago
4 0

yes it is used in that equation

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If (x+k) 2 (x+2) = x² +14x²+60x+72<br> Find the value of k.<br><br> I will give brainliest
Wittaler [7]

George C.
Jul 24, 2018
(
x
+
2
)
(
x
+
6
)
2
=
0

Explanation:
Given:
x
3
+
14
x
2
+
60
x
+
72
=
0

By the rational roots theorem, any rational zeros of the given cubic are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
72
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
3
,
±
4
,
±
6
,
±
8
,
±
9
,
±
12
,
±
18
,
±
24
,
±
36
,
±
72
In addition, note that all of the coefficients are positive and the constant term is non-zero. As a result, any real zero (rational or otherwise) of this cubic must be negative.
So that leaves rational possibilities:
−
1
,
−
2
,
−
3
,
−
4
,
−
6
,
−
8
,
−
9
,
−
12
,
−
18
,
−
24
,
−
36
,
−
72
We find:
(
−
2
)
3
+
14
(
−
2
)
2
+
60
(
−
2
)
+
72
=
−
8
+
56
−
120
+
72
=
0
So
x
=
−
2
is a zero and
(
x
+
2
)
a factor:
x
3
+
14
x
2
+
60
+
72
=
(
x
+
2
)
(
x
2
+
12
x
+
36
)
Without trying any more of our "possible" zeros, we can recognise the remaining quadratic factor as a perfect square trinomial:
x
2
+
12
x
+
36
=
x
2
+
2
(
x
)
(
6
)
+
6
2
=
(
x
+
6
)
2
So the factored form of the given cubic equation can be written:
(
x
+
2
)
(
x
+
6
)
2
=
0

5 0
3 years ago
At a concert, 20% of the people are wearing black dresses or suits, 1/4 are wearing navy, 0.35 are wearing brown, and the rest a
Elan Coil [88]

Answer: 20%

Step-by-step explanation:

20% black dresses or suits

.35 = 35% wearing brown

1/4 = 25% wearing navy

100% -20% - 35% - 25% = 20% left

5 0
3 years ago
What’s the equation for 8 and 9 i need the answer asap
pickupchik [31]

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

(8)

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (8, 2)

m = \frac{2-2}{8+3} = \frac{0}{11} = 0

A slope of zero indicates the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (- 3, 2) and (8, 2) with y- coordinates 2, thus

y = 2 ← equation of line

(9)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 3, 2)

m = \frac{2-1}{-3+6} = \frac{1}{3} , then

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 2) , then

2 = - 1 + c ⇒ c = 2 + 1 = 3

y = \frac{1}{3} x + 3 ← equation of line

7 0
3 years ago
HELP PLEASE ITS SO HARD IM CRYING PLS HELP
Vlad [161]

Answer:

I think it might be d

Step-by-step explanation:

Im not completely sure, BUT YOU GOT THIS

3 0
3 years ago
Translate then simplify <br><br> A number n decreased by the difference nine and the number
Sphinxa [80]

Answer:

Step-by-step explanation

x-(9-x)

4 0
3 years ago
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