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lys-0071 [83]
3 years ago
8

Factor the expression 4x^2 +12x -72

Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0

Answer:

\boxed{\bold{\left(3x-2\right)^2}}

Step By Step Explanation:

Rewrite \bold{9x^2-12x+4}

\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}

Rewrite Equation

\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}

Apply Perfect Square Formula \bold{\left(a-b\right)^2=a^2-2ab+b^2: \ a=3x,\:b=2}

\bold{\left(3x-2\right)^2}

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Find the area of the trapezoid
lidiya [134]

area = ( top rule + bottom rule ) × height / 2

area = ( 2 + 3 ) × 4 / 2

area = 5 × 4 / 2

area = 20 / 2

area = 10

4 0
2 years ago
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Put these numbers in order from greatest to least.
Lesechka [4]

Answer: 3\frac{21}{30} ,3\frac{14}{28},\frac{15}{25},0.5,-0.7

Step-by-step explanation:

-0.7=-0.7\\\\3\frac{21}{30}=3.7\\\\3\frac{14}{28}=3.5\\\\0.5=0.5\\  \\\frac{15}{25}=0.6

6 0
2 years ago
Suppose you have already been waiting for one hour for a taxi. what is the probability that one arrives within the next 10 minut
Alona [7]

The probability of one arrives within the next 10 minutes when he already been waiting for one jour for a taxi is,

 

P (X > 70 | X > 60) = P (X > 10) = 1 – P (X ≤ 10) = 1 – {1 – e ^ -((1 / 10) 10)} = e ^ -1

= 0.3679

 

The probability of one arrives within the next 10 minutes when he already been waiting for one hour for a taxi is 0.3679

3 0
3 years ago
If the following fractions were converted to decimals, which one would result in a repeating decimal?
Sveta_85 [38]
B. 3/7
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4 0
3 years ago
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In a school of 330 students, 85 of them are in a drama club, 200 of them are in a sports team and 60 of them do both
Neko [114]

Answer:

105/330 = 21/66 = 7/22

7/22 is the answer I think

Step-by-step explanation:

n(U) = 330

n(A) = 85

n(B) = 200

n(A n B) = 60

Now,

n(A U B) = n(A) + n(B) - n(A n B)

or, n(A U B) = 85 + 200 - 60

or, n(A U B) = 285 - 60 = 225

Now,

n(A U B) compliment = n(U) - n(A U B)

n(A U B) compliment = 330 - 225

so, n(A U B) compliment = 105

Now,

probability = 105/330

8 0
2 years ago
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