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3 years ago

F(x)=x^+4x+2 what is the average rate of change from x=3 to x=5

Mathematics

1 answer:

mars1129 [50]3 years ago

8 0

Answer:

Step-by-step explanation:

f(x)=x^+4x+2 First, let's evaluate when x=3, x=4 and x=5.

f(3) = 3²+4(3)+2 = 9 + 12 + 2 = 23

f(4) = 4²+4(4)+2 = 16 + 16 + 2 = 34

f(5) = 5²+4(5)+2 = 25 + 20 + 2 = 47

Now, let's find the rate of change.

34 - 23 = 11

47 - 34 = 13

Finally, the average rate of change.

(11 + 13) / 2 = 12

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Four times the difference of a number and 7 is 32

notka56 [123]

I'm not exactly sure but I think it might be but if you were to do 4(x-7) that would be 15 because fifteen minutes seven equals eight and eight time four is thirty two Hope this helps!

6 0

3 years ago

Suppose you take $25,000 and deposit some of it into a savings account that pays 2.2% interest. You then take the rest of the mo

FromTheMoon [43]

Answer:

The amount deposited in the savings account is $11,494.12

The amount deposited in the CD account is $13,505.88

Step-by-step explanation:

Firstly, let’s calculate the amount of interest;

Interest = Amount at end of 10 years - amount deposited= 31,648 -25,000 = 6,648

Let the amount deposited in the savings account be $x while the amount deposited in the CD account be $y

Mathematically;

x + y = 25,000 ••••••••••(i)

Now the formula for simple interest is;

PRT/100

where P is the amount deposited, r is the rate and T is the time

On the savings account, amount of interest generated will be;

(x * 2.2 * 10)/100 = 22x/100

On the CD act, amount of interest generated will be;

(y * 3.05 * 10)/100 = 30.5y/100

The addition of both give the total interest;

22x/100 + 30.5y/100 = 6648

Multiply through by 100

22x + 30.5y = 664800 •••••••(ii)

From i, x = 25,000 - y

Substitute this into ii

22(25000-y) + 30.5y = 664800

550,000 -22y + 30.5y = 664,800

8.5y = 664,800-550,000

8.5y = 114,800

y = 114,800/8.5

y = $13,505.88

x = 25,000 -y

x = 25,000 - 13,505.88

x = $11,494.12

3 0

3 years ago

When Emily arrived home from school, she spent 8 minutes eating a snack. Then, she spent 15 minutes playing with her dog and 32

ziro4ka [17]

Answer: 1 hour and 40 minutes

Explanation: Add all the time together and you get 100 minutes.

100 - 60 = 40

(I’m not very good at explaining it)

7 0

2 years ago

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You need to rent a bowling lane. On Friday nights, you have two options. Option A is a $20 lane rental plus $3 per game. Option

ExtremeBDS [4]

For 5 games, the cost will be equal for each option.

Step-by-step explanation:

Given,

Lane rental of offer A = $20

Per game charges = $3

Let,

x be the number of games.

A(x) = 3x + 20

Lane rental is $35 for maximum 10 games.

B(x) = 35

For the cost to be same;

A(x) = B(x)

$3x+20=35\\3x=35-20\\3x=15$

Dividing both sides by 3

$\frac{3x}{3}=\frac{15}{3}\\x=5$

For 5 games, the cost will be equal for each option.

Keywords: function, division

Learn more about functions at:

#LearnwithBrainly

6 0

2 years ago

In a candy mix there are 4 green bars for every 3 red bars. How many red bars are there if there are 200 green bars

erastovalidia [21]

Answer:

Since there are 4 green bars for every 3 red bars and we are trying to find the number of red bars if there are 200 green bars, we can create the ratio:

4 x : 3 y

Where x is equal to the number of green bars and y is the number of red bars.

We know the number of green bars is equal to 200, so we can divide it by 4, giving us:

200 /4=50

Then we can solve for y , the number of red bars.

// Multiple y by 50

3 ⋅ 50 = 150

So for every 4 green bars, there are 3 red bars.

For every 200 green bars, there are 150 red bars

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers