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qaws [65]
3 years ago
12

What is the product of (2p + 7)(3p2 + 4p – 3)?

Mathematics
1 answer:
Nady [450]3 years ago
3 0

Answer:

(2p+7)(3p²+4p-3)

2p(3p²+4p-3)+7(3p²+4p+3)

(6p³+8p²-6p)+ (21p²+28p+21)

6p³+29p²-6p+21

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Solve 15 ≥ -3x or x ≥ -2.
vivado [14]

Answer:

x ≥ - 2.

Step-by-step explanation:

We have to solve the compound inequality.

It is 15 ≥ - 3x or x ≥ - 2

Now, from the first part we have  

15 ≥ -3x

⇒ -\frac{1}{3} \times 15 \leq  -\frac{1}{3}(- 3x)

⇒ - 5 ≤ x

⇒ x ≥ - 5 ....... (1)

And the second part is x ≥ -2 ......... (2)

Therefore, the conditions (1) and (2) will both be true if x ≥ - 2.

Hence, this is the solution. (Answer)

4 0
3 years ago
A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each sho
Sergio039 [100]

Answer:

44kg of cereal, 16kg of nuts

Step-by-step explanation:

Step 1. We work out how much the party mix would cost if all of it was nuts.

$2.50 x 60kg = $150

Step 2. We work out how much we want the party mix to cost if it had the correct ratio of nuts and cereal.

$1.40 x 60kg = $84

Step 3. We work out the difference between the two above numbers.

$150 - $84 =$66

Step 4. We work out the difference between the nut mix and the cereal mix.

$2.50 - $1 = $1.50

Step 5. We divide the answer to step 3 ($66) by the difference between the nut mix and cereal mix.

$66 ÷ $1.50 = 44

Step 6. The answer to step 5 is the mass of the cereal mix. We then minus 44kg from the total mix mass of 60kg to get the mass of the nut mix.

60kg - 44kg = 16kg

Step 7. We double check.

44kg of cereal = $44          16kg of nuts = $40           $44 + $40 = $84    

$84 ÷ 60kg = $1.4 per kg

Hope this helped!

Bluey :)

8 0
3 years ago
Write the EXPLICT equation for the arithmetic sequence below:<br> 11, 9, 7, 5, 3.
____ [38]

Answer:

-2

you take two away every time

6 0
3 years ago
Which equation demonstrates the additive identity property?
Orlov [11]

Answer:

(7+41)+0= 7+41

Step-by-step explanation:

Given the list of options A to D

Required: Select the one that shows additive identity property

The additive identity property is such that when 0 is added to an expression or a number, the expression or number remains unchanged and maintains its original value

This is represented as follows

a + 0 = a

(a + b) + 0 = a + b

So, from options A through D, the only option that fits the analysis above is (7+41)+0= 7+41.

Hence, we can conclude that (7+41)+0= 7+41 demonstrates an additive identity property

4 0
3 years ago
Graph the line with this equation. y=x+2
Setler79 [48]

Answer:

Here I have attached an image of the graph:

6 0
4 years ago
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