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miskamm [114]
3 years ago
6

How to factor by grouping:

^{3} - 75x" alt="{27x}^{3} - 75x" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer:

3 x (3 x - 5) (3 x + 5)

Step-by-step explanation:

Factor the following:

27 x^3 - 75 x

Factor 3 x out of 27 x^3 - 75 x:

3 x (9 x^2 - 25)

9 x^2 - 25 = (3 x)^2 - 5^2:

3 x (3 x)^2 - 5^2

Factor the difference of two squares. (3 x)^2 - 5^2 = (3 x - 5) (3 x + 5):

Answer: 3 x (3 x - 5) (3 x + 5)

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A person that is 5 ft tall that casts a shadow of 4 ft is standing next to a tree that is 9 ft tall. How much of a shadow will i
Ganezh [65]

Answer:

8 ft tall

Step-by-step explanation:

the person that is 5 ft has a shadow that is 4 foot so its 1 foot off because the direction that the sun's facing you

4 0
3 years ago
An ESTIMATE of 39% of 120
malfutka [58]

ANSWER: 46.8


39% of 120

The word "of" means multiplied. So you will have to multiply 39% x 120

To do that, first step is to change the percent (39%) into a decimal


39% = 0.39  (You move the decimal twice to the left, not right)

There's an invisible decimal behind 9 so ALWAYS move it twice.

= 39(.)⇒ 0.39


Then your final step is to multiply

120 x 0.39


    1 2 0

x 0 . 3 9   ← notice this decimal

_______                    ∨

 1 0 8 0                     ∨

+ 3 6 0 0                    ∨

_______                    ∨

  4 6 8 0          There's an invisible decimal before the 0. Move that decimal two times to                                  the left.   4680(.)⇒ 46.8


4 0
3 years ago
Read 2 more answers
What is the awnser and thank you!
adell [148]

Answer:

I believe it is A

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
*UNIT RATE AND PROPORTIONS*
Advocard [28]

Answer:

Unit rate is $7 per pound.

6 pounds will cost $42

You can buy 10 pounds for $70

Step-by-step explanation:

28/4 = $7 --> Unit rate is $7 per pound.

7 × 6 = $42 --> 6 pounds will cost $42

70/7= 10 --> You can buy 10 pounds for $70

3 0
2 years ago
today's local newspaper lists 20 stocks of local interest. of those stocks ten increased five decreased and five remained unchan
coldgirl [10]

Answer:

P(x=2) = 0.2368

Step-by-step explanation:

given data

stocks of local interest N = 20

stocks increased K = 10

stocks decreased =  5

remained unchanged = 5

solution

we take here no of stock that are increased randomly n = 2

so here Hypergeometric random variable can take integer value

{max(0, n+k - N ), min(n,K) } = {0,2}

so here

P(x=2)

so

P(x=k)  = \frac{(^K_k)\times (^{N-K}_{n-k}) }{(^N_n)}      .......................1

P(x=2 ) = \frac{(^{10}_2)\times (^{20-10}_{2-2}) }{(^{20}_2)}    

solve it we get

P(x=2 ) = 0.236842

now we use excel function as

HYPGEOM.DIST (k,n,N.cumulative)   .....................2

so it will be

HYPGEOM.DIST (2,2,10,,false)

we get

HYPGEOM.DIST (2,2,10,,false)  = 0.236842

so

P(x=2) = 0.2368

4 0
3 years ago
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