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Lina20 [59]
3 years ago
10

Use the distributive property to find the product of 987 and6

Mathematics
1 answer:
Shkiper50 [21]3 years ago
7 0
The distributive property: a(b +/- c) = ab +/- ac

987 · 6 = 6 · 987 = 6 · (100 - 13) = 6 · 1000 - 6 · 13 = 6000 - 78 = 5922
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A function f is​ _____ on an open interval I​ if, for any choice of x1 and x2 in​ I, with 1 less than
Zepler [3.9K]

Answer:

If f(x_1)\leq f(x_2) whenever x_1\leq x_2 f is <em>increasing</em> on I.

If f(x_1)\geq f(x_2) whenever x_1\leq x_2 f is <em>decreasing</em> on I.

Step-by-step explanation:

These are definitions for real-valued functions f:I→R. To help you remember the definitions, you can interpret them in the following way:

When you choose any two numbers x_1\leq x_2 on I and compare their image under f, the following can happen.

  • f(x_1)\leq f(x_2). Because x2 is bigger than x1, you can think of f also becoming bigger, that is, f is increasing. The bigger the number x2, the bigger f becomes.
  • f(x_1)\geq f(x_2). The bigger the number x2, the smaller f becomes so f is "going down", that is, f is decreasing.

Note that this must hold for ALL choices of x1, x2. There exist many functions that are neither increasing nor decreasing, but usually some definition applies for continuous functions on a small enough interval I.

3 0
3 years ago
Describe the order of operations you would use to
meriva
First apply the exponent: 3 ^ 2
9
Then we do the multiplication: 4 * 9 = 36
Finally we add
8 + 36 = 44
7 0
2 years ago
A bank account pays 4.2% interest.write an equation with an intial value 2000.how much will the account have in it after 5 years
GarryVolchara [31]

Answer:

ruh

Step-by-step explanation:

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5 0
2 years ago
Does bin width matter when it comes to histograms? Why or why not?
maw [93]

Answer:

Avoid histograms with small bin widths that group data into lots of bins. A histogram constructed with small bin widths will show the distribution as a “pancake.” so no it does not help us see the pattern in the data.

Step-by-step explanation:

4 0
2 years ago
Find the price-demand equation for a particular brand television when the demand is 20 TVs per week at $150 per TV, given that t
Alina [70]

Answer:

~150=50e^{-0.01()20}

~p(100)=\$127.7

Step-by-step explanation:

From the question we are told that:

Price of 20TVs per week P_{20}=\$150

Marginal price-demand function p'(x)=-0.5e-0.01x

Generally the The Marginal price function is mathematically given by

  p'(x)=-0.5e^{-0.01x}  

  p(x)=\int-0.5e^{-0.01x}  

  p(x)=50e^{-0.001x}+C  

Therefore the equation when the demand is 20 TVs per week at $150 per TV

150=50e^{-0.01()20}

Giving

p(x)=50e^{-0.01x}+150-50e^{-0.01(20)}

Therefore the Price when the demand is 100 TVs per week

p(100)=50e^{-0.01(100)}+150-50e^{-0.01(20)}

p(100)=\$127.7

7 0
2 years ago
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