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Lyrx [107]
2 years ago
13

Given a polynomial function f(x) = 2x2 + 7x + 6 and an exponential function g(x) = 2x + 5, what key features do f(x) and g(x) ha

ve in common?
Mathematics
1 answer:
lana [24]2 years ago
5 0

The common features of f(x) = 2x² + 7x + 6 and g(x) = 2^x + 5 are

  • Same y-intercept at y = 6
  • Same end behavior as x approaches positive infinity, both functions approach positive infinity

<h3>How to determine the common features?</h3>

The functions are given as:

f(x) = 2x² + 7x + 6

g(x) = 2^x + 5

See attachment for the graphs of both functions.

From the attached graph, we have the following common features

  • Same y-intercept at y = 6
  • Same end behavior as x approaches positive infinity, both functions approach positive infinity

Read more about function features at:

brainly.com/question/4025726

#SPJ1

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5.62x0.7x1.35 helppp quickkk plsss
laila [671]

Answer:

5.3109

Step-by-step explanation:

5.62 x 0.7 is equal to 3.934, and this multiplied by 1.35 is equal to 5.3109.

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Kevin bought 3 dvds for 45.99 how much would 7 dvds cost?
Alecsey [184]

Answer:

I am pretty sure the answer would be $107.31. Sorry if I'm wrong.

Step-by-step explanation:

First you take the total of the 3 DVD's (45.99) and you divide that by 3 (number of DVD's) to get 15.33 which is called the unit price. Then, you take your unit price and multiply that by how many items you are going to buy.

45.99 / 3 = 15.33

15.33 x 7 = 107.31

6 0
3 years ago
What are some responsibilities that come with having a checking account?
vampirchik [111]

Answer:

Once the account is open, it is the responsibility of the account holders to reconcile their statements and maintain a proper balance in order to clear all checks. It is very important to pay attention to your balance, and a monthly reconciliation of your account is highly beneficial.

Step-by-step explanation:

3 0
3 years ago
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You have a piggy bank made of only dimes and quarters. There are 42 coins and their value is $6.75. How many dimes and quarters
babunello [35]
There are 23 quarters and 19 dimes
7 0
3 years ago
Questions are in the picture
gtnhenbr [62]

The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

(4, 0)

The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

(x1, y1) = (4, 0) and (x2, y2) = (x, 0)

This gives

d = √(x - 4)^2 + (√x - 0)^2

Evaluate the difference

d = √(x - 4)^2 + (√x)^2

Evaluate the exponent

d = √x^2 - 8x + 16 + x

Evaluate the like terms

d = √x^2 - 7x + 16

Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

Cross multiply

2x - 7 = 0

Add 7 to both sides

2x = 7

Divide by 2

x = 3.5

So, we have:

Substitute x = 3.5 in y = √x

y = √3.5

Evaluate

y = 1.9

So, the point is (3.5, 1.9)

The distance is then calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units

Read more about distance at:

brainly.com/question/23848540

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3 0
1 year ago
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