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2 years ago

If A = –2p + 7 and B = p2 + 3p – 5, find an expression that equals A – 3B in standard form.

Mathematics

1 answer:

Sophie [7]2 years ago

4 0

Answer:

-3p^2 - 11p + 22

Step-by-step explanation:

A - 3B becomes (-2p + 7) - 3*(p^2 + 3p - 5).

Perform the indicated multiplication, obtaining:

(-2p + 7) - 3p^2 - 9p + 15, and then:

-2p + 7 - 3p^2 - 9p + 15, or (combining like terms):

-3p^2 - 11p + 22

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An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the

sdas [7]

Answer:

$n= 75, 582$

$n= 2300$

$n = 253$

Step-by-step explanation:

Generally the size of the sample sample space is mathematically represented as

$n = \left N } \atop {}} \right. C_r$

Where N is the total number of objects available and r is the number of objects to be selected

So for a, where N = 19 and r = 8

$n = \left 19 } \atop {}} \right. C_8 = \frac{19 !}{(19 - 8 )! 8!}$

$= \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}$

$n= 75, 582$

For b Where N = 25 and r = 3

$n = \left 25 } \atop {}} \right. C_3 = \frac{25 !}{(19 - 3 )! 3!}$

$= \frac{25 *24 *23 *22 ! }{22 ! \ 3!}$

$n= 2300$

For c Where N = 23 and r = 2

$n = \left 23 } \atop {}} \right. C_2 = \frac{23 !}{(23 - 2 )! 2!}$

$= \frac{23 *22 *21! }{21 ! \ 3!}$

$n = 253$

4 0

3 years ago

A shipping crate is shaped like a rectangular prism. It is 5 1/2 feet long by 3 feet wide by 3 feet high. What is the volume of

Andrej [43]

Volume = Length x width x height
Volume = 5 1/2 x 3 x 3 = 49.5 cubic feet

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2 years ago

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2 years ago

there are 8 uniforms at a fire station. Their total weight is 538 pounds. about how many pounds does each uniform Weigh? would y

earnstyle [38]

If 8= 538 Ib. then take the (538) and divide that by 8. <---- 8 for the 8 uniforms.

Your math should look like this: 538/8= about 67 pounds.

Then do 67*8= 536. (You started at 532 Ib.) this is just 2 pounds off*

So, your answer should be *67* pounds.

*Use paper and a pencil! Sometimes doing mental math can be challenging with a problem like this. So use paper and a pencil, checking your answer wont hurt either!*

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2 years ago

De acuerdo con los registros de una empresa, se requieren 54 toneladas de naranjas para producir 45 toneladas de concentrado en

worty [1.4K]

Answer:

79.2 tons

Step-by-step explanation:

What must be done is to apply a proportion rule, taking into account what happened in the registry and what is wanted for this new year. In the following way we can calculate the amount of tons of oranges.

Powder concentrate Oranges

45 tons -------------------------> 54 Tons

66 tons -------------------------> X Tons

X = 66 * 54/45

X = 79.2, that is to say that 79.2 tons are necessary to produce 66 tons of powder concentrate to make juice.

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2 years ago