Functions f(x) and g(x) are both increasing. In addition, the range of g is in domain of f. Prove that composite function f(g(x)) is increasing

Answers

Answer 1

Answer: f: D -> E;
g: F -> G, where, g(F) is in D;

Let be x1, x2 ∈ F, with x1 < x2;
But, g(x1) < g(x2), because g is increasing; => f(g(x1) < f(g(x2) , because f is increasing =>
f(g(x) is increasing.

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4x + 8z = 2. Solve for z

Answers

Step-by-step explanation:

4x + 8z = 2 Subtract 4x from both sides

8z = 2 - 4x Now, divide both sides by 8

z = (2-4x) / 8 or (1-2x) / 4

the sales tax in Illinois is 6.25%. about how much will a pair of jeans that has a ticket price of $48.99 cost, including sales tax?

Answers

Cost of the pair of jeans = $48.99

Sales tax = 6.25%

Total cost = $48.99+6.25%

= $49.05

Therefore, the total cost including sales tax is $49.05

ticket prices were on sale from $8.75 to $6.00. what is the percent of decrease rounded to the nearest tenth?

Answers

Answer:

31.4%

Step-by-step explanation:

We have been given that ticket prices were on sale from $8.75 to $6.00. We are asked to find percent of decrease.

$\text{Percent of decrease}=\frac{\text{Final}-\text{Original}}{\text{original}}* 100\%$

$\text{Percent of decrease}=(6-8.75)/(8.75)* 100\%$

$\text{Percent of decrease}=(-2.75)/(8.75)* 100\%$

$\text{Percent of decrease}=-0.3142857142857* 100\%$

$\text{Percent of decrease}=-31.42857142857\%$

$\text{Percent of decrease}\approx -31.4\%$

Therefore, percent of decrease was approximately 31.4%.

The percentage decrease is about 31.43%

8.75-6/8.75 x 100

2.75/8.75 x 100 = 31.428%

(2-3i)*(3+4i) perform following operations

Answers

$\left( 2-3i \right) \left( 3+4i \right) \n \n =6+8i-9i-12{ i }^( 2 )\n \n =6-i-12\left( -1 \right) \n \n =6-i+12\n \n =18-i$

$(2-3i)(3+4i)=\n6+8i-9i+12=\n18-i$

50 as a product of prime factors

Answers

If you are talking about using a factor tree, then it would go into 5 and 10
5 is a prime number so you'll divide 10 into 5 and 2. So 2x5x5=50 :)

If the slope of a line is 2 and its y-intercept is 5, what is the equation of the line?

Answers

hello,

y=2x+5
==========
(y-5)=2(x-0)

I believe from having the same test its Y=5+2 x=0

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