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svet-max [94.6K]
3 years ago
12

Find the product.

Mathematics
2 answers:
Inga [223]3 years ago
6 0
(2p + 7)(3p-9)
2p x 3p= 6p^2
2p x -9= -18p
7 x 3p=21p
7 x -9=-63
6p^2 - 18p + 21p - 63
6p^2 + 3p -63 is the answer.

Vikentia [17]3 years ago
5 0
If you would like to solve (2 * p + 7) * (3 * p - 9), you can calculate this using the following steps:

(2 * p + 7) * (3 * p - 9) = 2 * p * 3 * p - 2 * p * 9 + 7 * 3 * p - 7 * 9 = 6 * p^2 - 18 * p + 21 * p - 63 = 6 * p^2 + 3 * p - 63

The correct result would be 6 * p^2 + 3 * p - 63.
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Find the number that must be added to each expression to form a perfect square trinomial. Then write the trinomial as a binomial
maksim [4K]
<h2>Hello!</h2>

The answers are:

a) \frac{49}{4}

b) (x+\frac{7}{2})^{2}

<h2>Why?</h2>

First, we need to know that for this case:

a=1\\2ab=7

So,

b=\frac{7}{2}

b^{2} =(\frac{7}{2})^{2}=\frac{49}{4}

We must add \frac{49}{4}  to the expression in order to form a perfect square trinomial,

x^{2} +7x+\frac{49}{4}

Writing the trinomial as a binomial square:

(x+\frac{7}{2})^{2}=x^{2}+2*\frac{7}{2}*x+(\frac{7}{2})^{2}=x^{2} +7x+\frac{49}{4}

Have a nice day!

8 0
3 years ago
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Lunar missions have helped scientists track the motion of the moon. What have they discovered about its motion?
Vikki [24]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
Carlo recycles 8 glass bottles every week. Which expression shows the total number of glass bottles he recycles in w weeks?
Lena [83]
8w 

he recycles 8 per week which means if you wanted to know how many he had recycled after 10 weeks you would multiply 8 by 10 to find out. so its 8w
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2 years ago
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Given the following values, what would the stems be? 4, 25, 56, 78, 105, 112 4 though 11 0 though 11 4 though 12 0 though 7
ss7ja [257]

Answer:

  0 though 11

Step-by-step explanation:

The stems are generally the numbers you get when you drop the units digit. The minimum number in your list is 04, so its stem would be 0. The maximum number in your list is 112, so its stem would be 11. You usually want to have the stems cover the entire range from minimum to maximum, so the stems would be 0 through 11.

___

Here's what the "stem and leaf plot" might look like for these values.

0 | 4

1 |

2 | 5

3 |

4 |

5 | 6

6 |

7 | 8

8 |

9 |

10 | 5

11 | 2

3 0
3 years ago
There were 632 animals gathered at the river. A herd of 187 elephants and 266 zebras left the river area. How many animals were
Orlov [11]

Answer:

179 animals were still at the river

Step-by-step explanation:

There were 632 animals at the river.

A herd of 187 elephants and 266 zebras left the river area.

This means that 187 + 266 = 453 animals left the river area.

Remaining:

632 - 453 = 179

179 animals were still at the river

3 0
3 years ago
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