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blagie [28]
3 years ago
11

3k(k+10)=0 factor show steps please

Mathematics
1 answer:
saul85 [17]3 years ago
7 0

Answer:

Simplifying

3k(k + 10) = 0

Reorder the terms:

3k(10 + k) = 0

(10 * 3k + k * 3k) = 0

(30k + 3k2) = 0

Solving

30k + 3k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3k'.

3k(10 + k) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'k' equal to zero and attempt to solve:

Simplifying

k = 0

Solving

k = 0

Move all terms containing k to the left, all other terms to the right.

Simplifying

k = 0

Subproblem 2

Set the factor '(10 + k)' equal to zero and attempt to solve:

Simplifying

10 + k = 0

Solving

10 + k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-10' to each side of the equation.

10 + -10 + k = 0 + -10

Combine like terms: 10 + -10 = 0

0 + k = 0 + -10

k = 0 + -10

Combine like terms: 0 + -10 = -10

k = -10

Simplifying

k = -10

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otez555 [7]

Answer:

The selection probability to be assigned to each of the package designs is 0.20

Step-by-step explanation:

Firstly, we need to assume that one design is just as likely to be selected by a consumer as any other design

so the probability of selecting any of the design is same and that is 1/5 = 0.20

Thus, what we are trying to say is that each of the package designs have an equal selection probability of 0.20

6 0
3 years ago
Can some one help me??
dezoksy [38]
I think it’s B, because it’s not adding or subtracting in a pattern
7 0
2 years ago
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The total amount of spending per​ year, in​ billions, on pets in a certain country x years after 2000 is given by the following
Kamila [148]

Answer:

40.4502 billion dollars

51.3432 billion dollars

Step-by-step explanation:

Given :

Total amount spent in billions in pets x years after year, 2000 ;

P(x)=2.1786x + 25.2

Amount spent in 2007 ;

x = 2007 - 2000 = 7 years

Put x = 7 in the equation :

P(7)=2.1786(7) + 25.2 = 40.4502

Amount spent in 2012 :

x = 2012 - 2000 = 12 years

Put x = 12 in the equation :

P(12) = 2.1786(12) + 25.2 = 51.3432

The amount spent in billik dollars on pets in :

2007 = $404502 billion

2012 = $51.3432 billion

8 0
3 years ago
Find the median of 11, 99, 62, 30, 41
gladu [14]

Answer:

41

Step-by-step explanation:

once you put the numbers in numerical order, 11 30 41 62 99, the median (middle number) is 41

3 0
3 years ago
In the figure below, segment CD is parallel to segment EF and point H bisects segment DE :
Grace [21]

Answer:

See explanation

Step-by-step explanation:

In the figure below, segment CD is parallel to segment EF, DE is a transversal, then angles DIH and HGI are congruent as alternate interior angles when two parallel lines are cut by a transversal.

Consider triangles DIH and EGH. In these triangles,

  • \angle DIH\cong \angle EGH as alternate interior angles;
  • \angle DHI\cong \angle GHE as vertical angles;
  • DH\cong HE because point H bisects segment DE (given).

Thus,

\triangle DIH\cong \triangle EGH by AAS postulate

4 0
3 years ago
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