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Mariana [72]
3 years ago
6

Which statement is true? A. On every interval of x-values, the average rate of change of g(x) exceeds the average rate of change

of f(x). B. On every interval of x-values, the average rate of change of f(x) exceeds the average rate of change of g(x). C. As x increases, the rate of change of g(x) exceeds the rate of change of f(x). D. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
Mathematics
2 answers:
Naily [24]3 years ago
8 0

Answer:

D. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).

Step-by-step explanation:

Ulleksa [173]3 years ago
7 0

Answer:

As x increases, the rate of change of f(x) exceeds the rate of change of g(x).

Step-by-step explanation:

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To furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tabl
Free_Kalibri [48]

Answer:

A. 6

Step-by-step explanation:

Let n represent number of tables.

We have been given that to furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tables in a warehouse that are all different from each other. There are 5 chairs in the warehouse and if 150 different combinations are possible.

Since 2 chairs are being selected from 5 chairs, so we can choose 2 chairs in 5C2 ways.

There are n tables and we can choose 2 tables from n table in nC2 ways.

We can represent our given information in an equation as:

5C2\times nC2=150

\frac{5!}{2!(5-2)!}\times \frac{n!}{2!(n-2)!}=150

\frac{5*4*3!}{2*1*3!}\times \frac{n!}{2!(n-2)!}=150

10\times \frac{n!}{2!(n-2)!}=150

\frac{n!}{2!(n-2)!}=15

\frac{n!}{2*1*(n-2)!}=15

\frac{n*(n-1)*(n-2)!}{2*(n-2)!}=15

\frac{n(n-1)}{2}=15

n(n-1)=30

n^2-n=30

n^2-n-30=0

n^2-6n+5n-30=0

n(n-6)+5(n-6)=0

(n-6)(n+5)=0

(n-6)=0\text{ (or) }(n+5)=0

n=6\text{ (or) }n=-5

Since tables cannot be negative quantity, therefore, 6 tables are in the warehouse.

8 0
3 years ago
Find the value of x help me
gregori [183]

Answer: x = 35

Step-by-step explanation:

since its a 90 degree angle the equation is equal to 90

2x + 20(-20) = 90(-20)

2x/2 = 70/2

x = 35

hope this helps :))

7 0
3 years ago
Read 2 more answers
22) The base of a lampshade is circular. The circumference of the base is 3 times the radius increased by 4.25 inches.
BARSIC [14]

Answer:

~1.29 inches

Step-by-step explanation:

C = 2πr

C = 3r + 4.25

2πr = 3r + 4.25

2πr - 3r = 4.25

r(2π-3) = 4.25

r = 4.25/(2π-3) ≈ 1.29

5 0
3 years ago
Evaluate <br> F(x)=5x-3<br> F(5)=
zlopas [31]

Answer:

sorry if im wrong but 22

6 0
3 years ago
3 times 2 cubed + 5 squared-18 divided by 6
Strike441 [17]

Answer:

46

Step-by-step explanation:

3 x 2^3 + 5^2 - 18/6

= 3 x 8 + 25 - 3

= 24 + 25 - 3

= 49 - 3

= 46

7 0
3 years ago
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