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Softa [21]
3 years ago
13

Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping?

Mathematics
2 answers:
Tamiku [17]3 years ago
6 0

Answer:

LAST OPTION

Step-by-step explanation:

xz_007 [3.2K]3 years ago
4 0

Answer:

D. x^{2} (x-12) -2(x-12)

Step-by-step explanation:

Determine the groups: (x^{3}-12x^{2} ) - (2x+24)

Factor out terms: x^{2} (x-12) -2(x-12)

The -2 was factored out in the second group to ensure that both groups had

(x-12).

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Brad reads his favorite book for 114 hours each day. If he has read the book for 2212 hours so far, how many days has he read it
IrinaVladis [17]

Answer:

20 days

Step-by-step explanation:

2212 divided by 114 =19.40350877, so round it up to the nearest tenth, which is 20. he has read for 20 days

8 0
3 years ago
- The wait times for two different rides are
erma4kov [3.2K]

Answer:

(in a fraction format) 12/75=x/120

Step-by-step explanation:

The simplest way I can explain* is for these types of problems, all you do is make an equation like the one above and use an X as the numerator in the second equation over the denominator, which should be something like 120 in this problem. So after you find the information for the problem, which is the part where it states how much time a line of 48 people had to wait, make an equation using that information, which is 12/48. Then to finish the equation, use the 120 people in line part and make another equation that has an X as the numerator, or the number on top. It should look like this:

           12/75 = x/120

I tried sorry*

8 0
3 years ago
The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol
Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is \frac{7}{10}

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is \frac{343}{1,000}

Part c) The volume of the smaller pyramid is 4,116\ m^{3}

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid  

z=\frac{x}{y}

substitute the values

z=\frac{21}{30}

Simplify

z=\frac{7}{10} -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

substitute

\frac{7}{10}^{3}=\frac{x}{y}

Rewrite

\frac{x}{y}=\frac{343}{1,000} -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

y=12,000\ m^{3}

substitute the values and solve for x

(\frac{7}{10})^{3}=\frac{x}{12,000}

x=\frac{343}{1,000}(12,000)=4,116\ m^{3}

8 0
3 years ago
A drawer contains 4 red socks, 7 white socks, and 11 blue socks. Without looking, you draw out a sock and then draw out a second
Nana76 [90]
Total socks = 4 + 7+ 11 = 22
Red = 4
White = 7

P(red, then white) = (4/22)(7/21) = 2/33

Answer: 2/33
8 0
3 years ago
The price of an item has dropped to 77$ today. Yersterday it was 140$. Find the percentage decrease.
Yuki888 [10]

Answer: It dropped 55%


Step-by-step explanation: well if you multiply 140x.55 it equals to 77


5 0
3 years ago
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