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3 years ago

Factor 2x2 − 4x − 30 completely. (5 points) 2(x − 5)(x + 3) 2(x − 3)(x + 5) (2x + 3)(x − 5) (2x − 5)(x + 3)

Mathematics

1 answer:

balandron [24]3 years ago

4 0

Answer:

The answer is

Step-by-step explanation:

To factor the expression

2x² - 4x - 30

<u>First factor 2 out of the expression</u>

That's

2( x² - 2x - 15)

<u>Next write - 2x as a difference</u>

2( x² + 3x - 5x - 15)

<u>Factor out x from the expression</u>

That's

2 [ x( x + 3) - 5x - 15 ]

<u>Factor out </u><u>-</u><u>5 from the expression</u>

2 [ x ( x + 3) - 5( x + 3) ]

<u>Factor out x+3 from the expression</u>

We have the final answer as

Hope this helps you

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Answer:

4 to 5

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3 years ago

There are two aquariums in a science room. One of the aquariums is 18 inches wide, 25 inches long, and 12 inches high. If there

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Answer:

23 (rounded) (You can't overflow a fish take Or what would be the point of the tank.)

Step-by-step explanation:

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3 years ago

Prove that 25^11−5^19 is divisible by 31.

SCORPION-xisa [38]

Answer:

Divisible by 3 is the answer

Step-by-step explanation:

First get everything to have the same base of 5

25^11 - 5^19

(5^2)^11 - 5^19

5^(2*11) - 5^19

5^22 - 5^19

Now factor out the GCF 5^19 to get

5^22 - 5^19

5^(19+3) - 5^(19+0)

5^19*5^3 - 5^19*5^0

5^19(5^3 - 5^0)

5^19(125 - 1)

5^19*(124)

At this point, we factor the 124 into 31*4 to end up with this full factorization: 5^19*31*4

Therefore, 25^11 - 5^19 is equivalent to 5^19*31*4

Since 31 is a factor of the original expression, this means the original expression is divisible by 31.

4 0

4 years ago

There are 52 weeks in a year. Ben has lived in london for two fifths of year. How many weeks has ben lived in london?

masha68 [24]

Answer:

$\frac{104}{5}$ weeks or $20\frac{4}{5}$ weeks

Step-by-step explanation:

To do this we can set up a proportion

$\frac{52}{1} *\frac{2}{5}$

This will tell us how many weeks are in 2/5 of a year

Let's evaluate this

$\frac{104}{5}$

We cannot simplifiy this anymore, so we will leave it as an improper fraction, or a mixed number as shown below

$20\frac{4}{5}$ weeks

5 0

3 years ago

Read 2 more answers

In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight o

andrezito [222]

Answer with Step-by-step explanation:

We are given that

Total dogs=24

Total cats=18

Total animals=24+18=42

Male dogs=8

Male cats=6

Total male animals=8+6=14

Total female animals=42-14=28

Female cats=18-6=12

Dogs female=24-8=16

a.We have to find the probability that the pet is male, given that it is cat.

It means we have to find P(Male/cat)

Conditional probability: $P(A/B)=\frac{P(A\cap B)}{P(B)}$

P(Cat)= $\frac{18}{42}$

$P(male cat)=\frac{6}{42}$

$P(Male/cat)=\frac{\frac{6}{42}}{\frac{18}{42}}$

P(male/cat)= $\frac{6}{18}=0.33$

b. $P(female cat)=\frac{12}{42}$

$P(female)=\frac{28}{42}$

$P(Cat/Female)=\frac{\frac{12}{42}}{\frac{28}{42}}=\frac{12}{28}=0.43$

c.P(Dog)= $\frac{24}{42}$

$P(dog female)=\frac{16}{42}$

$P(female/dog)=\frac{\frac{16}{42}}{\frac{24}{42}}$

$P(female/dog)=\frac{16}{24}=0.67$

5 0

3 years ago