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Snezhnost [94]
3 years ago
8

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

Mathematics
2 answers:
trapecia [35]3 years ago
5 0

Answer:

The product of the polynomials is 6p³ + 29p² + 22p - 21

Step-by-step explanation:

(2p + 7)(3p² + 4p - 3)

Use the foil method to multiply.

6p³ + 8p² - 6p + 21p² + 28p - 21

Combine like terms. Make sure you put the equation in standard form. This means that the exponential numbers will be ordered in descending form.

6p³ + 29p² + 22p - 21

anzhelika [568]3 years ago
3 0
The answer is 6p3+2p2+49p-21
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Gala2k [10]

Answer:

(- 2, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then the midpoint is

( \frac{x_{1}+x_{2}  }{2} , \frac{y_{1}+y_{2}  }{2} )

Here (x₁, y₁ ) = A (4, 6 ) and (x₂, y₂ ) = B (- 8, 2 )

midpoint = ( \frac{4-8}{2} , \frac{6+2}{2} ) = ( \frac{-4}{2} , \frac{8}{2} ) = (- 2, 4 )

6 0
2 years ago
Read 2 more answers
Use the given values of n and p to find the minimum usual value μ−2σ and the maximum usual value μ+2σ. Round to the nearest hund
lbvjy [14]

Answer:

μ−2σ = 1,089.26

μ+2σ = 1,097.62

Step-by-step explanation:

The standard deviation of a sample of size 'n' and proportion 'p' is:

\sigma=\sqrt{\frac{p*(1-p)}{n} }

If n=1139 and p =0.96, the standard deviation is:

\sigma=\sqrt{\frac{p*(1-p)}{n}}\\\sigma = 0.001836

The minimum and maximum usual values are:

\mu-2\sigma = (p-2\sigma)*n\\\mu+2\sigma = (p+2\sigma)*n

\mu-2\sigma = (0.96-2*0.001836)*1139\\\mu-2\sigma = 1,089.26\\\mu+2\sigma = (0.96+2*0.001836)*1139\\\mu+2\sigma = 1,097.62

5 0
2 years ago
How do you write a percent into a fraction or a mixed number in simplest form
love history [14]
To change a percent to a fraction, you remove the percent sign and put the given number over 100. For example, if you are given 78%, it would be 78/100 or 39/50
4 0
2 years ago
What is the distance between the points (-3,5) and (3,-8) in the standard (x,y) coordinate plane?
zlopas [31]
The vertical distance is 5 + 8 = 13
the horizantal distance is 3 +3 = 6
then just do pythag therom
6^2 + 13^2 = c^2
205 = c^2
<span>√205 = c
</span>
6 0
2 years ago
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Which algebraic expression represents this phrase? the product of 86 and the depth of the river
Marizza181 [45]
If "d" is used to represent the depth of the river, that product will be
  86d
6 0
2 years ago
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