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Gnesinka [82]
3 years ago
7

F(x)=4x^3+Ax^2+8x-1 and f(2)=1

Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0
The answer for A is A=-11.5
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Select the correct answer from each drop-down menu. observe the functions below. complete the following sentences to compare the
MrRissso [65]

The answers will be:

  1. (4, 5)
  2. remain constant and increase
  3. g(x) exceeds the value of f(x)

<h3>What is Slope and curve?</h3>

a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).

b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).

c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:

 f(8) = 4·8 +3 = 35

 g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35

 g(8) > f(8)

d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).

To know more about Slope follow

brainly.com/question/3493733

7 0
2 years ago
Reflect the figure over the line y-2.<br><br><br> Please help
Lana71 [14]
(5,0) (9,6) (7,7) (2,7)
8 0
3 years ago
Veronica copies her uncle's address and phone number into her contact list. His area code is 775. His ZIP code is 89507. Which s
ExtremeBDS [4]

Answer:It is 100 times as great in the ZIP code than it is in the area code

Step-by-step explanation:

step 1

Veronica 's uncle ZiP CODE = 89507 = The value of 5 here, represents 5 Hundred-----500

Veronica 's uncle Area code= 775 = The value of 5 here  represents 5 units--5

it will take a 100 times the value of 5 in the area code to be same as the value of 5 in the ZIP code

Step 2:

Therefore, we can say that the value of 5 is 100 times as great as the ZIP code than it is in the area code.

3 0
3 years ago
A construction worker fills a mold with concrete. This solid figure represents the mold.
nadezda [96]

Answer:

volume = 338 x 20 = 6760 cm^3

Step-by-step explanation:

large rectangular top area = 14 x 22 = 308 cm^2

small rectangular top area = 6x5 = 30 cm^2

total top area = 308 + 30 = 338 cm^2

volume = 338 x 20 = 6760 cm^3

4 0
3 years ago
Isosceles trapezoid ABCD has legs If AB = 6y – 3, BC = 4y – 5, and CD = 7y – 18, find the value of y
castortr0y [4]

Answer:

The value of y is y=15

Step-by-step explanation:

We have:

AB = 6y – 3, BC = 4y – 5, and CD = 7y – 18

We define the isosceles trapezoid as it has two opposites parallel, the two other opposites legs are equal and also the diagonals are equal.

Here AB = CD

6y-3 = 7y-18

Combine the like terms:

18-3 = 7y-6y

15 = y

It means the value of y is  y=15....

4 0
3 years ago
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