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3 years ago

(a-b) ( a+b) simplify

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

4 0

Answer:

$a^2 - b^2$

Step-by-step explanation:

1. $(a)(a)+(a)(b)+(-b)(a)+(-b)(b)$

2. $a^2 + ab - ab - b^2$

3. $a^2 - b^2$

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A firm has the marginal-demand function where D(x)=-1400x÷√25-x² is the number of units sold at x dollars per unit. Find the dem

borishaifa [10]

The equation of the demand function is D(x) = 1400√(25-x²) + 11400

<h3>How to determine the demand function?</h3>

From the question, we have the following parameters that can be used in our computation:

Marginal demand function, D'(x) = -1400x÷√25-x²

Also, we have

D = 17000, when the value of x = 3

To start with, we need to integrate the marginal demand function, D'(x)

So, we have the following representation

D(x) = 1400√(25-x²) + C

Recall that

D = 17000 at x = 3

So, we have

17000 = 1400√(25-3²) + C

Evaluate

17000 = 5600 + C

Solve for C

C = 17000 - 5600

So, we have

C = 11400

Substitute C = 11400 in D(x) = 1400√(25-x²) + C

D(x) = 1400√(25-x²) + 11400

Hence, the function is D(x) = 1400√(25-x²) + 11400

Read more about demand function at

brainly.com/question/24384825

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3 0

1 year ago

What are the solutions of the quadratic equation? 4x^2+34x+60=0

insens350 [35]

Answer:

Option 3) -6,-5/2

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^{2} +34x+60=0$

$a=4\\b=34\\c=60$

substitute in the formula

$x=\frac{-34(+/-)\sqrt{34^{2}-4(4)(60)}} {2(4)}$

$x=\frac{-34(+/-)\sqrt{196}} {8}$

$x=\frac{-34(+/-)14} {8}$

$x_1=\frac{-34(+)14} {8}=-\frac{20}{8}=-\frac{5}{2}$

$x_2=\frac{-34(-)14} {8}=-6$

6 0

3 years ago

A student was given two data sets, Set A and Set B. Which of the following

Elden [556K]

Answer:

I don't know were the statement are but here are the specs of each set

Step-by-step explanation:

Set A

mean; 83.83333

median; 87.5

mode; it has no mode

range; 147

Set B

mean; 67.08571

median; 3

mode; no mode

range; 376

hope this helps sorry for late answer :)

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3 years ago

A countries population in 1995 was 206 million. In 1998 it was 210 million. Estimate the population in 2008 Using the exponentia

netineya [11]

Answer:

224 million

Step-by-step explanation:

I took the application

6 0

3 years ago

Rashid is paid by the hour. He earned $50 for a 4-hour workday. How much does he earn for a 5 1/2- hours work day

Tom [10]

<span>Use a proportion:
x/(5 1/2) = 50/4
--------
x = (11/2)(50/4)

--------
x = 550/8
----
x = $68.75</span>

5 0

3 years ago

(a-b) ( a+b) simplify​

(a-b) ( a+b) simplify