3.2.1 For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function is concave up or concave down. RA 5 10 10 a) The point(s) of inflection is/are (Type an ordered pair. Use a comma to separate answers as needed.)
Answers
From the graph we will have that the inflection point is located in (1, 4); the graph is concave up in the point (0, 3) and concave down in the point (2, 5)
Related Questions
Help pls George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
Answers
The width of the dog run is 20 feet.
In the given problem, the length of the dog run is given as 30 feet.
The area of the dog run is also given as 240 square feet.
Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).
Rearranging the formula, we have w = A / l.
Plugging in the values, we get w = 240 / 30 = 8 feet.
Since the width is given as (30 minus x) feet, we can set up an equation:
30 - x = 8. Solving for x, we find x = 22.
Therefore, the width of the dog run is 20 feet (30 - 22 = 8).
In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.
The area of the dog run is given as 240 square feet.
By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.
Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.
This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).
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What is the value of x?
4x + 6 + 3 = 17
2
3.5
6.5
4
Answers
Answer:
x=2
Step-by-step explanation:
Add
6
and
3
.
4
x
+
9
=
17
Move all terms not containing
x
4
x
=
8
Divide each term by
4
and simplify.
x
=
2
Answer:
2
Step-by-step explanation:
4X + 6 + 3 = 17
add all the whole numbers together
6+3=9
going back to the problem, it'll look like this
4X + 9 = 17
subract 9 from itself and 17
4X + 9 = 17
- 9 -9
------------------
4x = 8
---- --- divide 4 from both sides
4 4
X = 2
Imagine you are the teacher. Explain how you would walk your student through this problem to answer this problem step by step.
Two hikers leave a cabin at the same time, one heading due south and the other headed due west. After one hour, the hiker walking south has covered 2.8 miles and the hiker walking west has covered 3.1 miles. At that moment, what is the shortest distance between the two hikers?
Answers
Answer:
Due south and due west form a right angle, and the shortest distance between any two points is a straight line. Therefore, we can apply the Pythagorean theorem and write:
3.12+2.82=x2
Here, you will need to use a calculator to simplify the left-hand side:
17.45=x2
Now use your calculator to take the square root. You will likely need to round your answer.
x=17.45−−−−√≈4.18 miles
As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem. If it isn’t, then you can’t use the Pythagorean theorem.
Step-by-step explanation:
this is my explanation
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Round the number 125.3546 to 1 decimal place.
Answers
Answer:
125.4
Step-by-step explanation:
Given
\(Number = 125.3546\)
Required
Round to 1 decimal place
Up till the first decimal place, the number is:
\(Number = 125.3\)
The digit after .3 is 5
The conditions for approximation are:
If n > 4, approximate to 1Else: approximate to 0In this case: 5 > 4, so we approximate to 1
Add this "1" to the last digit of 125.3. This becomes 125.4
Hence: when the number is approximated to 1 decimal place, the digit is 125.4
●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answers
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
find the value of log 3 base 81.
Answers
Exact value
Decimal form
0.47712125
Answer:
\(log_{81} 3 = \frac{1}{4}\)
Step-by-step explanation:
\(Let \; log_{81} 3 = x \\\therefore 3 = {81}^x ..(by\: changing\: in \: exponential\: form)\\\therefore 3^1 = {3}^{4x}\\\therefore 1 = 4x.\\(\because bases \: are \: equal,\: hence \: exponents\: will\: also\: be \: equal)\\\therefore x = \frac{1}{4}\\\\\huge\purple{\boxed{\therefore log_{81} 3 = \frac{1}{4}}}\)
Graph 2, 1, and –1 on the number line.
Answers
Answer: 2 would be on the 3rd number on the number line, 1 would be before that, and negative one is 1 below 0 means it would be the one in between -2 and 0. Have a nice day ;)
Mr. Crowder wants to get a new fit for class. He finds some Gucci glasses on sale for 20% off. If the glasses originally cost $240, what will the sales price be?
A)$192
B)$48
C)$288
D)$220
Answers
Answer:
A) 192
Step-by-step explanation:
20% = 0.2
240(0.2) = 48
This means $48 will be taken from the original price so:
240 - 48 = 192
If the owner of a sole proprietorship is sued by a customer who slipped and fell in her store,
the sole proprietor is personally liable for damages the injured woman is awarded by the courts
the sole proprietor is not liable under any circumstance
the sole proprietor is covered by a Small Business Administration insurance policy
the sole proprietor is liable only for a small fraction of any damages
Answers
Answer:
the sole proprietor is personally liable for damages the injured woman is awarded by the courts.
Step-by-step explanation:
3(x+7)=-15
I need a clear explanation of visual representation instead of the answer itself
Answers
Answer:
x = -7
Step-by-step explanation:
3(x+7) = -15
First, distributive property. Therefore, you multiply 3 with x and 7
3x + 21 = -15
Then, you need x to be isolated. So you will have to -21 from +21 on both sides of the equation to make it balanced.
3x + 21 = -15
-21 -21 (21 will be canceled from the left side of the equation)
3x = -35
Lastly, you need to divide 3 from both sides of the equation, as 3 is multiplied with x.
3x = -35
3 3 (3 will be canceled from the left side of the equation)
x = -7
If 12.6cm on the map is equal to 1262km in real life, determine the unit scale of the map
Answers
Answer:
1unit scale on map is equal to 100.16 km in real life
Step-by-step explanation:
since in map 12.cm =1262km in real life
1cm=(1262/12.6) km
therefore it gives us 100.158km which is approximately 100.16 km .
Which is the same as asking:
7 raised to what power equals 2,401?
Answers
7 raised to the power of 4 equals 2,401, and the exponent we were looking for is 4.
What is meant by power?
Power is a function that represents the number of times a base number is multiplied by itself. It is the rate at which work is done or energy is transferred, measured in watts.
What is meant by exponent?
An exponent is a mathematical notation used to indicate the number of times a quantity is multiplied by itself. It is written as a superscript and represents the power to which a number or expression is raised.
According to the given information
To find the value of the exponent that satisfies the equation 7ˣ = 2,401, we can take the logarithm of both sides of the equation with respect to base 7. This gives us:
log7(7ˣ) = log7(2,401)
x = log7(2,401)
Using a calculator, we can find that log7(2,401) is approximately 3. Therefore, the value of x that satisfies the equation 7ˣ = 2,401 is 3.
Alternatively, we could also use the fact that 2,401 is equal to 7⁴ - 2, which can be written as:
7⁴ - 2 = (7²)² - 2
= 49² - 2
= 2,401
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Determine whether the graph represents a function.
Answers
A, the relation is not a function
in order for something to be a function, x (the input) can't repeat itself more than once
Steve has 6 3/4 pounds of ground beef to make hamburgers for a party it takes 3/8 of ground beef to make a hamburger how many burgers can Steve make
Answers
The number of burgers Steve can make = 18
In this question, Steve has 6 3/4 pounds of ground beef to make hamburgers for a party.
It takes 3/8 of ground beef to make a hamburger.
We need to find the number of burgers Steve can make.
First we convert the improper fraction 6 3/4 into a proper fraction.
6 3/4 = 27/4
For 1 hamburger 3/8 of ground beef is required.
Let n be the number of burgers Steve can make.
n = (27 / 4) / (3 / 8)
n = 27/4 × 8/3
n = 9 × 2
n = 18
Therefore, the number of burgers Steve can make = 18
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Write an equation of the line that passes through a pair of points:
On a coordinate plane, a line goes through (4, 1) and (5, 2).
a.
y = x + 3
c.
y = -x + 2
b.
y = x - 3
d.
y = -x - 2
Answers
According to y - y over x - x,
2 - 1 = 1
5 - 4 = 1
The slope is 1/1, or x because x always equals 1 if not given a proper value.
Since we have the slope now, we can use the y-intercept of the graph to get our answer:
Our answer is y = x - 3 because the initial value, or the point we begin with on the y-axis, is -3.
Your answer is B, or y = x - 3. Hope this helps!
1. At a clothing store, Zoey bought 2 shirts for $7.25 each and 2
pairs of jeans for $24 each. She used a coupon for $10 off the
total price of the clothes. The discounted price of the clothes Zoey
bought can be found using this expression.
[2(7.25) + 2(24)] - 10
What is the discounted price in dollars and cents of the clothes
Zoey bought?
In order to receive full credit on this question you must show your
calculations. You may NOT use a calculator. Show EACH step.
Answers
Answer:
52.5 is the discounted price.
Step-by-step explanation:
(2 · 7.25 + 2 · 24) - 10
(14.5 + 2 · 24) - 10
(14.5 + 48) - 10
62.5 - 10
= 52.5
I had solved the expression you had provided, receving 52.5 as the discounted price in dollars. The work is above. Hope this helped!
A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300
Answers
Answer:
B
Step-by-step explanation:
using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then
a₁ = 10
a₂ = 3a₁ = 3 × 10 = 30
a₃ = 3a₂ = 3 × 30 = 90
the first 3 terms are 10 , 30 , 90
PLEASE HELP ASAP NEEDS TO BE DONE IN 5 MINUTES Ed needed to extend the string on his kite. The current string was eight and three fourths feet. He cut a piece of string that measured 4.5 feet and added it to the existing string. What is the new length of the string? four and one fourth feet four and one half feet twelve and three fourths feet thirteen and one fourth feet
Answers
Answer:
thirteen and one fourth feet
Step-by-step explanation:
8 + 3/4 + 4 + 0.5
8 + 3/4 + 4 + 1/2
8 + 4 + 3/4 + 1/2
12 + 3/4 + 2/4
12 + 5/4
48/4 + 5/4
53/4
13 and 1/4
Hope this helps :)
Answer:
13 and 1/4 feet is the answer
Step-by-step explanation:
6 accidents in 12 months unit rates
Answers
Answer:
2
Step-by-step explanation:
because 12/6 = 2
-b-
Note: Figure is not drawn to scale.
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
OA.
21 m
OB.
32 m
29 m
34 m
OC.
OD.
6 of 10 Answered
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Submit
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C
Answers
After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.
The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted measurement regarding the distance around the outside of a two-dimensional shape. In this system the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m
Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answers
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
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Which is equivalent to p ÷ –512?
A. p×125
B. p×512
C. p×–125
D. p× 12
Answers
Answer:
A. px125
Step-by-step explanation:
(4.7 x 10-3) x 351Simplify the expressionusing scientific notation and express your answer(2.5 x 10') < (3.3 X 100)in scientific notation. Round your answer to the nearest thousandth.AnswerKeypadKeyboard Shortcutsx10
Answers
Given:
\(\frac{(4.7\times10^{-3})\times351}{(2.5\times10^5)\times(3.3\times10^6)}\)Remove the brackets and multiply common terms
\(\begin{gathered} \frac{(4.7\times10^{-3})\times351}{(2.5\times10^5)\times(3.3\times10^6)} \\ =\frac{4.7\times10^{-3}\times351}{2.5\times10^5\times3.3\times10^6} \\ =\frac{4.7\times351\times10^{-3}}{2.5\times3.3\times10^5\times10^6} \\ =\frac{1649.7\times10^{-3}}{8.25\times10^{11}} \end{gathered}\)Simplify further to get
\(\begin{gathered} \frac{1649.7\times10^{-3}}{8.25\times10^{11}} \\ =\frac{16497\times10^{-1}_{}\times10^{-3}}{825\times10^{-2}\times10^{11}} \\ =\frac{16497\times10^{-4}}{825\times10^9} \end{gathered}\)This further gives
\(\begin{gathered} \frac{16497\times10^{-4}}{825\times10^9} \\ =\frac{16497}{825}\times\frac{10^{-4}}{10^9} \\ =19.996\times10^{-4-9} \\ =19.996\times10^{-14} \end{gathered}\)Therefore, the answer is
\(19.996\times10^{-14}\)7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?
Answers
According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.
For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.
For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.
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A café adds 15% service charge to a bill.
Work out the service charge for a bill of £57.95
Give your answer correct to the nearest penny.
Answers
Answer:
15%+57.95=72.95
Step-by-step explanation:
a deep-sea diver descends below the surface of water out of rate of 72 ft per minute on a depth of the diver after 12 minutes
Answers
Given :
The rate of a deep-sea diver descends below the surface of water out = 72 ft per minute
So, the depth after 12 minutes will be =
\(72\cdot12=864ft\)So, after 12 minutes , the diver will be on depth = 864 feet
Which of the following statement(s) is (are) true?
I. The set of all second-degree polynomials with the standard operations is a vector space. II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space. III. The set of second quadrant vectors with the standard operations is a vector space A) 1 B) II and III C) II and III D) 11
Answers
The true statement is; II. Option D
How to determine the correct statementsFrom the information given, we have that;
I. The set of all second-degree polynomials with the standard operations is a vector space
II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space
III. The set of second quadrant vectors with the standard operations is a vector space
Note that;
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How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$)
Answers
Answer:
9
Step-by-step explanation:
You don't need to pass through each edge once.
If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:
A-1-B
A-B
A-2-B
A-1-B-A-2-B
A-2-B-A-1-B
A-B-1-A-2-B
A-B-2-A-1-B
A-1-B-2-A-B
A-2-B-1-A-B
Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.
Hope this helps!
what is the value of the 9 in the number 2,448,901
Answers
When asking the value of '9' ⇒ in another number
⇒ means that it asking for the name of the position of that number in
the other number
Let's examine the name of the positions in the number:
⇒ look at the image attached
Based on the image:
⇒ 9 is the hundreds position of 2,448,901
Answer: hundreds
Hope that helps!
Answer:
Hundreds
Step-by-step explanation:
1=units
0=tens
9=hundreds
please help with this math question
Answers
rectangle : 15 x 10 = 150 m^2
the half circle at the top has a diameter of 6m. therefore, it’s radius is 3m. if it is cut in half, the part removed from the triangle height is 3m. therefore, the height of the triangle is 35 -15 = 20; 20 - 3 = 17. the height of the triangle is 17. the triangle area formula is a = 1/2(bh).
a = 1/2 (10)(17)
a = 1/2 (170)
a = 85 m^2
the circle would be a = πr^2 but divided by 2 bc it’s a half circle
a = π(3)^2
a = π9
a = 28.27 m^2
150 + 85 + 28.27 = 263.27 m^2