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gayaneshka [121]
3 years ago
12

How do I simplify 2(x+5) using distributive property

Mathematics
2 answers:
mariarad [96]3 years ago
8 0

Answer:

2x + 10

Step-by-step explanation:

think of the problem like this

2(x)

and

2(5)

2 × 5 gives us a positive number so we put a + sign

2x + 10

NikAS [45]3 years ago
3 0

Step-by-step explanation:

first you multiply the 2 with everything in the parenthesis

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4 0
3 years ago
In a recent survey, 64 % of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,
kozerog [31]

Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

P(X)=^nC_x\ p^x(1-p)^{n-x}, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

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If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840

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5 0
4 years ago
Unknown g (x) = ax + b and g (g (x)) = 16x - 15. Calculate the value of a and b.
goblinko [34]
G(g(x))=16x-15
means that when you subsituted g(x) for x in g(x), you got 16x-15

a(ax+b)+b=16x-15
distribute
xa^2+ab+b=16x-15d
we look at the x terms
therefor
xa^2=16x
a^2=16
a=-4 or 4
we will find out


look a constant terms
ab+b=-15
undistribute b
b(a+1)=-15

if a is -4 then
b(-4+1)=-15
b(-3)=-15
b=5

if a=4 then
b(4+1)=-15
b(5)=-15
b=-3


so
g(x)=-4x+5 or
g(x)=4x-3

if a=-4, b=5
if a=4, b=-3
6 0
4 years ago
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