Answer:
I dont get itt
Step-by-step explanation:
find the average rate of change of
f(x) on the interval
The average rate of change of f(x) = 1/(x + 12) on the given interval is expressed as: [tex]\frac{-1}{19(h + 19)}[/tex]
How to Find the Average Rate of Change?Given the function, f(x) = 1/(x + 12), the average rate of change of f(x) on the interval, [7, 7 + h], can be calculated using the formula:
Average rate of change = f(b) - f(a)/b - a.
a = 7
f(a) = f(7) = 1/(7 + 12) = 1/19
b = 7 + h
f(b) = f(7 + h) = 1/(7 + h + 12) = 1/(h + 19)
Plug in the values into the average rate of change formula
Average rate of change = 1/(h + 19) - 1/19 ÷ 7 + h - 7
Average rate of change = [19 - (h + 19)]/19(h + 19) ÷ h
Average rate of change = (19 - h - 19)/19(h + 19) × 1/h
Average rate of change = -h/19(h + 19) × 1/h
Average rate of change = -1/19(h + 19) × 1/1
Average rate of change = [tex]\frac{-1}{19(h + 19)}[/tex]
Therefore, the average rate of change of f(x) = 1/(x + 12) on the given interval is expressed as: [tex]\frac{-1}{19(h + 19)}[/tex].
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The length of a rectangular garden is 8 feet longer than its width. The garden's perimeter is 208 feet. Find the length of the garden.
Answer:
The Length is 56 feet
Step-by-step explanation:
w + w + 8 + w + 8 + w = 208 (two sides have a width of w and 2 sides have the length of 8 + w)
Combine the w/s and the 8's
4w + 16 = 208 Subtract 16 from both sides of the equation
4w = 192 Divide both sides by 4
w = 48 The width is 48 feet. That means that the length is 8 feet longer or 56 feet.
Check:
48 + 48 + 56 + 56 = 208
208 = 208
Find the equation of the circle that passes through the points (7, 3) and (11, −1) and has its centre lying on the line 2x + y = 7.
The equation of the circle that passes through the given points and has its center lying on this line 2x + y = 7 is equal to x² + y² - 10x + 6y - 6 = 0.
The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center.r represents the radius of a circle.How to determine the equation of this circle?Assuming the center of this circle lies at (h, k), then we have the following expressions that models the distance from the center of the given circle:
(h - 7)² + (k - 3)² = (h - 11)² + (k - (-1))²
(h - 7)² + (k - 3)² = (h - 11)² + (k + 1)²
(h - 7)² - (h - 11)² = (k + 1)² - (k - 3)²
(h - 7 + h - 11)(h - 7 - h + 11) = (k + 1 + k - 3)(k + 1 - k + 3)
(2h - 18)(4) = (2k - 2)(4)
8h - 72 = 8k - 8
8h - 8k = 64
h - k = 8 .......equation 1.
Since (h, k) lies at 2x + y = 7, we have:
2h + k = 7 .......equation 2.
Solving eqn. 1 and eqn. 2 simultaneously, we have:
h - k = 8
2h + k = 7
3h = 15
h = 15/3
h = 5.
For the value of k, we have:
h - k = 8
5 - k = 8
k = 5 - 8
k = -3.
Next, we would determine the radius of this circle:
Radius, r² = (h - x)² + (k - y)²
Radius, r² = (5 - 7)² + (-3 - 3)²
Radius, r² = (-2)² + (-6)²
Radius, r² = 4 + 36
Radius, r = √40.
Now, we can write the equation of this circle:
(x - h)² + (y - k)² = r²
(x - 5)² + (y - (-3))² = 40
(x - 5)² + (y + 3)² = 40.
x² - 5x - 5x + 25 + y² + 3y + 3y + 9 - 40 = 0
x² - 10x + 25 + y² + 6y - 31 = 0
x² - 10x + y² + 6y - 6 = 0
x² + y² - 10x + 6y - 6 = 0.
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Write all of the trips that would take 2 hours. Show your work.
a. Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.
b. Walk 3 miles per hour to school, which is 1.5 miles away.
c. Take a train going 80 miles per hour from Albany to New York City, which are 160 miles apart.
Answer:
120divide by2=60
3miles only
160 divide by 80=2 hrs
Step-by-step explanation:
What percentage of those who took the test in 2018 were from the Americas (either Canada, the United States, Mexico, the Caribbean, or Latin America)? Give your answer to one decimal place
Based on the percentage that took the test from Canada, the United States, the Caribbean and Latin America, the percentage who took the test in 2018 from the Americas was 35.90%.
How to find the percentage who took the test?The total percentage of people who took the test in 2018 from the Americas can be found as:
= Percentage from Canada + United States + Mexico, the Caribbean, or Latin America
= 2.4% + 30.3% + 3.2%
= 35.90%
The rest of the question is:
The Graduate Management Admission Test (GMAT) website provides the following information about the geographic region of citizenship of those who took the test in 2018: 1.9% were from Africa; 0.3% were from Australia and the Pacific Islands; 2.4% were from Canada; 14.3% were from Central and South Asia; 36.1% were from East and Southeast Asia; 1.7% 1 were from Eastern Europe; 3.2% were from Mexico, the Caribbean, and Latin America;
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HOW MANY GALLONS OF A 90% ANTIFREEZE SOLUTION MUST BE MIXED WITH 90 GALLONS Of 10% ANTIFREEZE TO GET A MIXTURE THAT IS 80% ANTIFREEZE
630 gallons of 90% antifreeze has to be mixed.
Sum of values of two solutions = Value of mixture
90% =0.9 unit value and amount x we get value 0.9x
10%= 0.1 unit value and amount 90 we get value =0.1*90=9
total mixture =0.80 value x+90 we get value 0.8*(x+90)
0.9x + 9 = 0.8(x + 90)
0.9x + 9 = 0.8x + 90 x 0.8
0.9x – 0.8x = 72 – 9
0.1x = 63
x = 630
Hence, 630 gallons of 90% antifreeze has to be mixed.
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Find the value of x, please help
Answer: 45
Step-by-step explanation: The right angle is 90 and the total is 180 so that would be 180 - 90 - 45 which would equal 45
Hope this helps :)
-7 ___ 3 what is the answer
Answer:
-7 + 10 = 3
Step-by-step explanation:
solve -8x greater than or equal to
2
Answer:
[tex]x \leq -\frac{1}{4}[/tex]
Step-by-step explanation:
Write it out: -8x ≥ 2Divide each side by -8 to cancel out the -8 next to x. It should now look like this: [tex]x \leq -\frac{1}{4}[/tex]I hope this helps!
Write the following multiplication using exponents 9•9•9•9•9•9
Answer:
9⁶
Step-by-step explanation:
9 is the number you are multiplying
6 is how many times you are multiplying the 9
Answer:9^6
Step-by-step explanation:
count each time 9 is times to get the answer.
Concept Check The table represents a linear function f. (a) Find the slope of the graph of y = f(x). (b) Find the y-intercept of the line. (c) Write an equation for this line in slope-intercept form. X -2 -1 0 1 2 3 y -11 -8 -5 -2 1 4
The slope of the graph of y = f(x) is 3
The y-intercept of the line = -5
Equation for the line in slope - intercept form is y = 3x - 5
Given table of linear function is:
x | y
-2 -11
-1 -8
0 -5
1 -2
2 1
3 4
Slope = Change in y values/ Change in x-values
= -8 --11/-1--2 = 3
Also -5 --8/0--1 =3, -2--5/1-0 = 3, 1--2/1-0 = 3, 4-1/3-2 = 3
So the slope is constant and is m = 3.
y-intercept is the y-value corresponding to when x = 0.
Here, when x = 0, y = -5.
So the y-intercept, c = -5
The equation for the linear function in slope-intercept form is,
y = mx + c , where m is the slope and c, the y-intercept of the function.
So here, the slope-intercept form of the function is,
y = 3x - 5
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Rachel is saving money to buy a game. So far she has saved $30, which is two-thirds of the total cost of the game. How much does the game cost?
Answer:
45
Step-by-step explanation:
2/3 of 45 is 30
Can someone please help me with the answer and explanation?
Answer: c.
Step-by-step explanation: An Irrational Number is a real number that cannot be written as a simple fraction
A hospital needs a supply of an expensive medicine. Company A has the most supply available, 1.7 milligrams, which is twice
the difference between the weight of Company B's supply and Company C's, and 0.9 milligram more than Company C's supply.How many milligrams can the hospital get from these three companies?
The hospital can get 4.15 milligrams from these three companies.
A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.
Here, we know that
Company A's supply of medicine = 1.7 mg
also, company A's supply = 2( B's supply - C's supply)
⇒ 1.7 = 2( B - C)
⇒ 1.7 = 2B - 2C .... (1)
Moreover, we are given that
A's supply = C's supply + 0.9
⇒ 1.7 = C + 0.9
⇒ 1.7 - 0.9 = C
⇒ 0.8 = C
Now, substituting the value of C in (1), we get,
1.7 = 2B - 2(0.8)
1.7 = 2B - 1.6
1.7 + 1.6 = 2B
⇒ B = 3.3/2
B = 1.65
Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg
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© Solve for x
5(x – 4) = -50
х
Answer:
x = - 6
Step-by-step explanation:
Let's do this quickly,
5(x – 4) = -50
5x - 20 = -50
5x = -50 + 20
x = - 30/5
x = -6
12. Stephanie dilated the rectangle and the
dimensions of the image were 24 feet by 6 feet.
What was the scale factor used?
Answer:
The scale factor should be 4
Step-by-step explanation:
sry if it is wrong i needed pionts and had the same problem hope this helps though ((((P:))))))
Answer:
3/4...............
Step-by-step explanation:
have a nice day
You can drive your car 21.7 miles with one gallon of gasoline. At that rate, how many miles can you drive with 13.2 gallons of gasoline?
PLEASE ANSWER ASAP
Answer:
286.44 miles........
help fill in the chart
An 11 pound turkey costs
$15.00, while the 20 pound
turkey is on sale for $25.00.
Which is the better buy?
Answer:
11 pound turkey
Answer:
the 11 pound turkey its not that expensive than the other one
Let f(x) = tan(x)-2/x. Let g(x) = x^2+8.
What is f(x)*g(y)?
Answer:
Step-by-step explanation:
(x)*g(y)
=(tanx-2/x)*(y²+8)
=y²tanx+8tanx-2y²/x-16/x
The product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,
[tex]f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]
What is the product of functions?When the two or more than two functions are multiplies together. Then the resultant function is called the product of these functions.
Let suppose there is a function f(x) and another function g(x). Then the product of function can be written as,
[tex]f(x)\times g(x)[/tex]
Let suppose, a function f(x) is
[tex]f(x)= tan(x)-\dfrac{2}{x}[/tex]
Let another function g(x) is,
[tex]g(x)= x^2+8[/tex]
Then g(y), will be,
[tex]g(y)= y^2+8[/tex]
The product of this two function is,
[tex]f(x)\times g(y)= \left(\tan(x)-\dfrac{2}{x}\right)\times(y^2+8)\\f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]
Thus, the product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,
[tex]f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]
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Go step by step to reduce the radical. √192
Answer: 8√3.
Step-by-step explanation:
First, look for any perfect squares that can fit into 192 snugly.
If we look for factors of 192, we can discover that the largest perfect square that can fit into it is 64 (and 3).
The √ of 64 is 8.
The √ of 3 cannot be simplified any further.
Thus, leaving us with our answer of 8√3.
It cost Layla $4.70 to send 47 text messages. How many text messages did she send if she spent $15.10?
Answer: 151 messages
Step-by-step explanation:
each messages cost Layla 10 cents. Which means that 151 x 0.10= 15.10
Answer:
151 text messagesStep-by-step explanation:
Given conditions:Layla cost for 47 messages is $4.70.To find:No. of text messages cost if she spent $15.10.Solution:Given,
No. of text messages for $4.70 = 47
So, no. of text messages for $1.00 = [tex]\frac{47}{4.7}[/tex]
Therefore,
No. of text messages for $15.10
= [tex]\frac{47}{4.7}[/tex] × 15.10
= 10 × 15.10
= 151
Hence,
The no. of text messages for $15.10 are 151 (Ans)
10 POINTS HELP ASAP PLEASE IF YOU DONT KNOW THE ANSWER DONT JUST WRITE ANSWER FOR THE POINTS PLEASE
Use the image below to answer the question.
Using the segment addition postulate, find the length of segment EF.
EG = 17
FG = 12
FIRST ONE - 12
SECOND ONE- 5
THRIDS ONE- 29
Answer:
(b) EF = 5
Step-by-step explanation:
Given point F lies on segment EG, you want to find EF when FG = 12 and EG = 17.
Segment additionThe segment addition postulate tells you the whole is the sum of the parts. That is ...
EF +FG = EG
EF +12 = 17 . . . . . substitute given lengths
Subtracting 12 from both sides of the equation, we have ...
EF = 5
The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of $55. withdrawal $-25 deposit $125 withdrawal -$50 deposit $25
Answer:
90
.......................................
John eats 3/8s of a pizza one day, 1/4 the next day. Can he eat half the next day? Use addition or
subtraction to justify your answer
By using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.
Let the total pizza be 1.
On the first day, the fraction of pizza that John ate = 3 / 8
On the next day, the fraction of pizza that John ate = 1 / 4
Total pizza that John ate till now will be calculated using addition:
3 / 8 + 1 / 4
3 / 8 + 2 / 8
5 / 8
Now, the pizza that is left will be calculated by subtracting the pizza that he ate from the total pizza that he had.
1 - 5 / 8
8 / 8 - 5 / 8
3 / 8
We can see that the half pizza is not left.
So, he cannot eat half that is 1 / 2 or 4 / 8 pizza the next day.
Therefore, by using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.
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1 inch equals 2.54 cm how many inches long is 45.72 centimeters
Answer:
18 inches equals 45.72 centimeters
Step-by-step explanation:
[tex]1/2.54 = 0.39\\0.39*45.72=18[/tex]
last year lien earned $1,300 more then get husband. together they earned $58,600. how much did each of them earn?
Answer:
lien earned 29950, husband earned 28650
Step-by-step explanation:
you subtract 1300 from the total then divide by 2 and add the 1300 to liens half.
Subtract
3-9 = ???????
Answer:
-6
Step-by-step explanation:
How many hours in 7 1/3 days.
What's equivalent to 2/5 divided by 6