find the average rate of change, in simplest form, of the function over the interval 4\le x \le 74≤x≤7.
Answers
Answer:
[tex]Average\ Rate = \frac{104}{3}[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine the average rate of change over: 4≤x≤7.
Average rate of change is calculated as:
[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex]a=4[/tex]
[tex]b = 7[/tex]
So:
[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]Average\ Rate = \frac{f(7) - f(4)}{7 - 4}[/tex]
[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]
From that table:
f(4) =
f(7) =
So:
[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]
[tex]Average\ Rate = \frac{108-4}{3}[/tex]
[tex]Average\ Rate = \frac{104}{3}[/tex]
Related Questions
Quotient of a number and 3 increased by -7 Equals negative 144
Answers
Answer:
x = -411
Step-by-step explanation:
Number = x
Quotient of a number and 3 : [tex]\frac{x}{3}[/tex]
(x/3) increased by (-7) : [tex]\frac{x}{3}+ (-7)[/tex]
[tex]\frac{x}{3} -7 = - 144\\\\\frac{x}{3}= -144 + 7\\\\\frac{x}{3}= -137\\\\x = -137*3[/tex]
x = - 411
Answer:
-411
Step-by-step explanation:
x / 3 + -7 = -144
x / 3 = -144 + 7
x = -137 x 3
x = -411
Hope that helps!
what kind of angel is it?
Answers
Answer:
90°> =Acute
90°< =Obtuse
(90°= )= Right
Catherine put $5500 into a savings account that earns 4% compound
interest monthly. After six months, how much money will she have total?
Answers
It’s due tonight help please
Answers
Answer:
:)
Step-by-step explanation:
A) 4,4
B) 2,2
C) 4,3
Hope this helps
Jameson pays $39.90 for 3.8 pounds of almonds. What is the price per pound of almonds?
Answers
Step-by-step explanation: The price of3.8 pounds of almonds=$39.90 thus we can write Hence the price of almonds is $10.50 per pounds.
AWNSERS:$10.50
Answer:
Step-by-step explanation: 39.90 x 3.8 = 151.62
A savings account increases from $300 to $309. What is the percent increase of the savings account?
Answers
Answer:
9 percent
Step-by-step explanation:
Answer:
3%
Step-by-step explanation:
1st Method: Increase Formula = (Last value-first value)/(first value)
Increase = (309-300)/300 = 9/300 = 3/100
= 0.03 or 3%
2nd Method: 309/300 = 103/100 = 1.03 (increase over 1 is 0.03 = 3%
i need help please i really don’t get it
Answers
Answer: no se ve bien
Step-by-step explanation:
mucha ilumnacion
Write the slope-intercept form of the linear equation of a line with slope of -3/4 and a y intercept of (3,0)
Answers
Answer:
y= -3/4 +3
Step-by-step explanation:
slope-intercept form formula is y=mx+b
mx= slope
b= y-intercept
Therefore, if you input the numbers into the equation it is
y=-3/4 +3
it is 3 because this point is located at 3 on the y-axis
What is the angle measure of each angle (2x) degrees and x degrees
Answers
Answer:
x = 30
2x = 60
Step-by-step explanation:
2x + x = 90
3x = 90
x = 30
2(30) = 60
Please help!!!!!!!!!!! Will give brainlist
Answers
Answer:
0.2
Step-by-step explanation:
When you have a decimal problem you add a 0 before the number. But if its a fraction ike 4 5/8 the decimal would be 4.58.
The original perimeter of a rectangle is 30cm, if we enlarge it by a scale factor of 4
what is the new perimeter?
120
1920
480
Answers
What is the new perimeter ?
The new perimeter is 120
Maggie uses 6.9 pints of white paint and blue paint to paint her bedroom walls. 3 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answers
Answer:
2.76 pints
Step-by-step explanation:
Given that:
Tottal amount of paint used = 6.9 pints
The faction of white paint used = 3/5
Hence, Amount of white Paint used :
3/5 * 6.9 = (3 * 6.9) / 5 = 4.14 pints of white paint.
Pints of blue paints used :
Total pints - pints of white used
6.9 - 4.14 = 2.76 pints of blue paint
Show work please and correct
Answers
Answer:
[tex] - \frac{1}{2} [/tex]
its down 1 over 2 each time
Milan raises dairy cow he has 165cows.Each cow produced2 gallons of milk every day.How many gallons did the cows produce per day,show solution using grid method
Answers
Answer:
Cows produce milk per day = 330 gallons
Step-by-step explanation:
Given - Milan raises dairy cow he has 165 cows. Each cow produced
2 gallons of milk every day.
To find - How many gallons did the cows produce per day ?
Show solution using grid method.
Proof -
Given that,
Total cows Milan raises = 165
Now,
Given,
1 cow produce milk = 2 gallon
⇒ 165 cows produce milk = 165 × 2 gallons
Now,
By using grid method , we have
165 × 2
X 100 60 5
2 200 120 10
⇒ 165 × 2 = 200 + 120 + 10 = 330 gallons
∴ we get
Cows produce milk per day = 330 gallons
1) d=rt
d = distance traveled by a moving object
r = rate of speed
time the object travels
t = time the object travels
Your first stop is in Bend, which is 122 miles away. How
fast do you need to travel in order to make it there in 3
hours?
Answers
Answer:
41 mph
Step-by-step explanation:
122 = 3r
r = 40 2/3 mph
jennifer is a wedding planner. She set up five chairs at each table for the reception. If( t )represents the number of tables, which of the following expressions represents the total number of chairs that she set up?
A. 5 + t
B. t + 5
C. 5t
D. t - 5
Answers
Answer:
C. : 5t
--
Once we find out the number of tables at the reception, we can then multiply the number of tables to 5t.
$400 interest is earned on a principal of $2,000 at a simple interest rate of 5% interest per year. For how many years was the principal invested?
Answers
Answer:
4 years
Step-by-step explanation:
Given data
Simple interest= $400
Principal= $2000
Rate= 5%
The simple interest formula is given as
SI=PRT/100
substitute and solve for T
400=2000*5*T/100
cross multiply
400*100= 10000*T
40000=10000T
T= 40000/10000
T= 4 years
Hence the time taken is 4 years
ANSWER THIS ASAP I ONLY HAVE 12 MINUTES!!! What inequality is represented by this graph?
Answers
Answer: B, is the answer
Step-by-step explanation:
The way that the line goes from 6 is represented by the equation
Answer:
x less than 6
Step-by-step explanation:
the line is going down from six and six isnt filled in so it couldnt be equal to 6
Mr. Locke was paid $190 for a job that required 40 hours of work. At this rate, how much would he get paid for a job that requires 60 hours of work?
Answers
What is the simplified version of
6(m - 2m) - (4m - 5m) ?
Answers
Answer:
-5m
Step-by-step explanation:
6m-12m-4m+5m
-6m+1m
=-5m
Help me pls djejefjcskaeddn
Answers
Answer:
Step-by-step explanation:
1 Yes they are right angles, it is a right angle because you solve it with a Sine equation
2 the hypotenuse is the longest side
3. If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.
HELP ASAP.!!!!!!! Jahlil is saving money at a constant rate to buy a new TV. After saving for $3$ months, Jahlil has $\$330$ . After saving for $5$ months, Jahlil has $\$510$ . Construct a function that models the relationship between the amount of money Jahlil has saved and the number of months he has saved for. Show or explain how you constructed the function. Respond in the space provided.
Answers
Answer:
y=90x+60
Step-by-step explanation:
x=months
y=dollars
Find dollars/month by finding the slope.
(3, 330), (5, 510)
-> (510-330)/(5-3) -> 90
Since its a constant rate, the function will be in the form, y=mx+b, and since we found the slope we can plug m=90.
y=90x+b
To find be, we simply substitute one of the points.
330=90(3)+b
b=60
Thus, plugging it in,
y=90x+60
Find the percent change. 150 pounds to 135 pounds.
Answers
Answer:
-10%
Step-by-step explanation:
precent change = 135 - 150
(divide both sides by 150)
precent change = -0.1
(multiply both sides by 100 so change to precent)
precent change = -10%
Answer:
10%
Step-by-step explanation:
The length of one side of APTV is given. Use the relationship between the sides of a 30°-60°-90° triangle to find the lengths of the other two sides.
Answers
Answer:
your answers will be 3 and 6
Step-by-step explanation:
have a nice day !!^_^
Which expression is equivalent to 46 - 2x)?
A) 24-8x
B) 24-6x
C) 10-8x
D) 10-6x
Answers
Answer:
24-8x
Step-by-step explanation:
Answer:jghgghfgfhgfhghfj
Step-by-step explanation:
what is x and y. help plz!!!!!!!
Answers
Answer:
x = 11
y = 1
Step-by-step explanation:
N : M
8 : 1
8 N = 1 M
since there is 1 M per every 8 N, y would be 1
to find x, just take 88 and divide it by 8 to get 11
Which city had the highest temperature?
Which city had the lowest temperature?
Which city had a temperature greater than Oakland?
What was the difference in temperature between Detroit and Oakland?
degrees Celsius.
Answers
2.st Louis
3. Scottsdale
4. -41
2. Detroit
3.Scottsdale
4.23
If f(x)=2x−3 and g(x)=4x+5, what is (f⋅g)(x)?
A)(f⋅g)(x)=8x−15
B)(f⋅g)(x)=6x+2
C)(f⋅g)(x)=8x2+22x−15
D)(f⋅g)(x)=8x2−2x−15
Answers
9514 1404 393
Answer:
D) (f⋅g)(x)=8x2−2x−15
Step-by-step explanation:
(f·g)(x) = f(x)·g(x) = (2x -3)(4x +5) = 2x(4x +5) -3(4x +5)
= 8x² +10x -12x -15
(f·g)(x) = 8x² -2x -15
A rational function g is given below. Find all values of a for which g(a)=16. g(x)=(4)/(x+1)+(20)/(x^(2)+2x+1)
Answers
Answer:
a = 2/3
Step-by-step explanation:
(4(x+1) + 20 )/(x+1) = 16
4x + 4 + 20 = 16x + 16
12x = 8
x = 2/3
3. Is this data linear or nonlinear? Explain how you know.*
Answers
Answer:
Non-linear
Step-by-step explanation:
Not consistently increasing