Answers
Answer:
a) inc: (-6, 2) ∪ (8, 11); dec: (2, 8)
b) (2, 4) and (8, -2)
c) min: (-8, -3); max: (2, 4)
d) D: [-6, 11]; R: [-3, 4]
e) -2
f) {0, 4}
g) up: (6, 10); down: (0, 6) ∪ (10, 11)
Step-by-step explanation:
a)The graph is increasing where the slope is positive. The graph is decreasing where the slope is negative. Points where the slope is zero are not part of the interval. End points of the domain are generally not included, either.
increasing: (-6, 2) ∪ (8, 11)
decreasing: (2, 8)
__
b)Critical points are points where the slope is zero (tangents are horizontal) or undefined (tangents are vertical).
critical points: (2, 4) and (8, -2)
__
c)Minima and maxima are found either at turning points or the ends of the domain. Here, we have ...
absolute minimum: (-8, -3)
local minimum: (8, -2)
local maximum: (11, 1)
absolute maximum: (2, 4)
__
d)The domain is the horizontal extent of the graph. The range is the vertical extent.
domain: [-6, 11]
range: [-3, 4]
__
e)To find the function value for a given value of x, locate that value of x on the graph and see where the function crosses that vertical grid line. Here, the point is marked (8, -2).
f(8) = -2
__
f)Points where f(x) = 3 will have y-coordinates of 3. They will be at the intersection of the horizontal line y=3 and the graph. Here, they are marked for you:
f(0) = 3
f(4) = 3
The values of x where f(x) = 3 are 0 and 4.
__
g)Concavity switches from up to down, or vice versa, at points of inflection. Here, the points of inflection are hard to determine. We will assume they are the points marked (6, 0) and (10, 0).
Where the graph has a ∩ shape (slope is decreasing), the concavity is down. Where the graph has a ∪ shape (slope is increasing), the concavity is up. The slope on the interval (-6, 0) is constant at +1, so is neither increasing nor decreasing. There is no concavity on that interval.
concave down: (0, 6) ∪ (10, 11)
concave up: (6, 10)
Related Questions
Someone help pls need this answered in a few minutes T^T
Answers
Answer:
Cosine rule formula
[tex]a^{2} = b^{2} + c^{2} - 2bc \times \cos( a) [/tex]
*the small a in cos represents the angle
Conditions
You can only do Cosine rule if the angle is in between the 2 lengths
a^2=22^2+27^2-2(22)(27)×cos(105)
a^2=1520.477026 * so sqaure root to find a
a=38.99329462 *to 2 d.p.
a=38.99ft
A 10-foot tree casts a 17-foot shadow directly down a slope when the angle of elevation of the sun is 42o (see figure). Find , the angle of elevation of the ground (to the nearest tenth of a degree). (A calculator is needed for this problem)
Answers
Answer:
The angel of this elevation is 30.5°
Step-by-step explanation:
...
What is 2 times 2?
Thanks if you would or could help its for math class
Answers
Answer:
the answer is 4
Step-by-step explanation:
if you multiply 2 x 1 = 2 then multiply 2 x 2 = 4 add two two times
A rigid transformation is applied to figure A to produce figure B. Which of the following is true
Answers
Rigid transformations do not change the size of a shape
The true statement is that figures A and B are congruent
How to determine the true statementFrom the question, we understand that the transformation is a rigid transformation
This means that the corresponding sides of figures A and B are congruent
Hence, the true statement is that figures A and B are congruent
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Help please this is maths and answer in
1.
2.
3.
4
Thanku
Answers
Answer:
A.) The School Room: $1026
All Class: $955
B.) All Class is cheap by $31
Step-by-step explanation:
Given;The School Room
Chairs = $38Desks = $174Delivery = $26All Class
Chairs = $36Desks = $168Delivery = $35A.)Jack wants to buy 8 chairs and 4 desks
If he buy from The School Room then,
8(38) + 4(174) + 26
304 + 696 + 26 = $1026
If Jack buy furniture from The School Room then it costs $1026
If he buy from All Class then,
8(36) + 4(168) + 35
288 + 672 + 35 = $955
If Jack buy furniture from All Class then it costs $955
B.)
If we compare both shop then,
$1026 – $955 = $31
All Class will be cheap for Jack by $31
-TheUnknownScientist 72
Find the ordered pair/ cordinate for each number using the equation y=3x-9
Answers
Answer:
well, pick any old x, like for example x = 0
find y
0 - y = 9
y = -9
so
(0 , - 9)
now pick another x, like x = 1
3 - y = 9
y = 3-9 = -6
so
( 1 , - 6 ) and on and on until bored
Step-by-step explanation:
fill in the blank 12___3___?22=0
Answers
What is previous number of 5 digits snallest number
Answers
Answer:
10,000
Step-by-step explanation:
Pam went on a quiz show. The questions in the first round were worth 4 points. The questions in the second round were worth 6 points. Pam answered a total of 14 questions and earned 66 points. How many questions did she answer in each round?
Answers
Answer:
lala i dont really know aaa
Which ordered pairs are solutions to the inequality graphed in the coordinate plane?
Select all that apply
A. (-3 , -8)
B. (0 , 11/4)
C. (2 , 10)
D. (3 , 2)
E. (4 , 3/2)
Answers
Gilligan sees a ship coming close to the shore he's standing on. He wants to determine the distance (segment SD) from the ship to the shore. He walks 130 ft along the shore from point D to point C and marks that spot. Then he walks 23 ft further and marks point B. He turns 90°and walks until his location (point A), point C, and point S are collinear.
Answer the following questions making sure to show all your work.
(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why not?
(b) Suppose AB = 50 ft. What is the distance from the ship to the shore? Show all your work and round your final answer to the nearest tenth of a foot.
Answers
The two triangles are both right triangles and are both formed by the
intersection of the lines AS and BD and are therefore similar.
Response:
(a) Yes, ΔABC is similar to ΔSDC according AA similarity postulate
(b) The distance from the ship to the shore is approximately 282.6 feet
How can similarity between the triangles used to find the distance SD?(a) Yes, Gilligan can conclude that ΔABC and ΔSDC are similar by
Angle-Angle, AA, similarity postulate.
Reason:
Angle ∠SCD in ΔSDC and ∠ACB in ΔABC are vertically opposite angles,
and they are therefore congruent by vertical angles theorem.
∠SDC = 90° and ∠ABC = 90° therefore ∠SDC ≅ ∠ABC because all 90°
are congruent.
Therefore, two angles in ΔABC are congruent to two angles in ΔSDC,
therefore, ΔABC is similar to ΔSDC according to AA similarity postulate
(b) The ratio of corresponding sides in similar triangles are equal,
therefore;
[tex]\dfrac{BC}{DC} = \mathbf{\dfrac{AB}{SD}}[/tex]
Which gives;
[tex]\dfrac{23}{130} = \dfrac{50}{SD}[/tex]
[tex]SD = \dfrac{130}{23} \times 50 \approx 282.6[/tex]
The distance from the ship to the shore, SD ≈ 282.6 ft.Learn more about triangle similarity postulates here:
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GIVING BRAINILEST! Find the perimeter of the figure!
Answers
This is because the bottom of the figure measures 9. The one side of the figure measures 4. And the other 2 sides measure 5. This gives us a total of 23. But the ledge where the top right corner of the square adjoins the triangle measures one inch because the height of the triangle measures 3 and the height of the square measures 4, that leaves us a 1 inch ledge measurement, making the total perimeter 24 inches :)
how do you find questions that are unanswered and about math help me please and thanks
Answers
you can find some if you scroll down on the page we're on.
They should kinda look like questions in little boxes.
They'll be under the header "New Questions in Mathematics"
don't feel bad, it took me a while too, they kinda blend in & no one would scroll down that far. I hoped this help you or someone else
have a great day :D
Which table represents a linear function?
Answers
Answer:
Find the slope for each of the points in the table. If all the slopes equal each other, the table represents a linear function. If not, then it's the opposite.
Step-by-step explanation:
(You didn't post the full picture, but I'll try to make sense of your problem and answer anyways.)
A linear function, or a line, has a constant slope. This means that no matter where you are on the line, it was always be "rising" some y and "running" some x. It will never be fluctuating in slope or anything like that because it's a line, not a curve, not a zigzag, etc. Just a line.
How do we observe this in tables? Well, remember that the slope m can be found with the following formula:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
where (x1, y1) and (x2, y2) are two points on a line.
So, we can show that all these points have equal slopes to see if they form a line. For example, let's look at the table shown in the picture. We have five points, so let's find the slope for two of them at a time.
First, let's find the slope between (1, 5) and (2, 20).
[tex]m=\frac{20-5}{2-1} \\m=\frac{15}{1} \\m=15[/tex]
The slope between these two points is 15.
Now, let's find the slope between (2, 20) and (3, 45).
[tex]m=\frac{45-20}{3-2} \\m=\frac{25}{1} \\m=25[/tex]
And the slope is ... 25? This can't be right!
Well, it is. This means that these three points can't all form a line, and therefore, all of these points can't form a line. So, the table shown in the picture does not represent a linear function. Do this for the other tables in the question, and you got yourself your answer.
20.5 yd 30 Yd Find the area:
Answers
Answer:
Area= 615
Step-by-step explanation:
width x height= Area.
30x20.5
8. The circle below is centered at the point (5,-2) and has a radius of length 4. Write the equation for the circle.
Answers
Answer:
(x - 5)² + (y + 2)² = 16
Step-by-step explanation:
Equation of a circle formula: (x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius
Given, center = (5, -2) and radius = 4
Substitute this information in the equation of a circle formula.
⇒ Equation of the circle: (x - 5)² + (y + 2)² = 16
Solve the equation.
-1 2/7 ÷ 1 13/14 =
Answers
Answer:
-4/13
Step-by-step explanation:
just using your calculator and you can get the answer.
The width of a rectangle is 4n-2.5 feet and the length is 2.5n+7 feet. find the perimeter of the rectangle
Answers
Answer:
P=13
Step-by-step explanation:
Solution:
P=2(l+w)=2·(2.5+4)=13
One week, Steph worked 20 hours, Marco
worked 12 hours, and Destiny worked 32 hours.
How much did the owner, Layla, pay herself?
Answers
Answer: 9
Step-by-step explanation:
Add 20, 12, and 32 together then divide by 7 because it says "One week" and a week is 7 days. So, it should be like 20 +12 + 32= 64
64 / (divided by) 7 = 9
The number of daily work hours, if in One week, Steph worked 20 hours, Marco worked 12 hours, and Destiny worked 32 hours, is 9.1 hours.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
One week, Steph worked 20 hours, Marco worked 12 hours, and Destiny worked 32 hours,
Calculate the total time of work as shown below,
The total time = 20 + 12 + 32
The total time = 64 hours in a week
Calculate the daily work time as shown below,
Daily work time = 64 / 7
(1 week = 7 days)
Daily work time = 9.1 hours
To know more about division:
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#SPJ2
The complete question is: One week, Steph worked 20 hours, Marco worked 12 hours, and Destiny worked 32 hours. Find the total work time in a day?
How many solutions of the linear equation 5x + 3y = -5 has ?
Answers
Answer:
You can solve it yourself
Step-by-step explanation:
By using demos graphing calculator
SOLVE ASAP NO LINKSSSSS
Answers
Switch\:sides
-9s<-72
\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}
\left(-9s\right)\left(-1\right)>\left(-72\right)\left(-1\right)
\mathrm{Simplify}
9s>72
\mathrm{Divide\:both\:sides\:by\:}9
\frac{9s}{9}>\frac{72}{9}
Simplify
s > 8
[tex]\\ \tt\longmapsto -72>-9s[/tex]
[tex]\\ \tt\longmapsto 9s>72[/tex]
[tex]\\ \tt\longmapsto s>8[/tex]
Or
[tex]\\ \tt\longmapsto s\in(8,\infty)[/tex]
HELP ME PLEASEEEEEEEEE
Answers
Answer:
The answer is a.
Step-by-step explanation:
M < 7
Hope that helps!
What is slope and intercept with the y axis
Answers
Answer:
Slope = 3
y-intercept = 2
Step-by-step explanation:
Slope = 3
y-intercept = 2
Consider U = {x|x is a real number}. A = {x|x ∈ U and x + 2 > 10} B = {x|x ∈ U and 2x > 10} Which pair of statements is correct? 5 ∉ A; 5 ∈ B 6 ∈ A; 6 ∉ B 8 ∉ A; 8 ∈ B 9 ∈ A; 9 ∉ B
Answers
8 is not an element of set A since all the elements must be greater than 8. 8 ∉ A is correct.
Sets and valuesGiven the following set of values
U = {x|x is a real number}
A = {x|x ∈ U and x + 2 > 10}
B = {x|x ∈ U and 2x > 10}
The equivalent elements of the sets are:
U = {real numbers}
A = {x > 8}
B = {x > 5}
From the set above, we can see that 8 is not an element of set A since all the elements must be greater than 8.
Learn more on sets here: https://brainly.com/question/13458417
It's C. 8 ∉ A; 8 ∈ B
The measures of the exterior angles of an octagon are x°, 2x", 3x°, 4x °, 6x°, 7xº,
8xº, and 9x °. Find the measure of the largest exterior angle.
Answers
Answer:
216
Step-by-step explanation:
Total of octagon amount is 1080, so set it equal.
x + 2x + 3x + 4x + 6x + 7x + 8x + 9x = 1080
45x = 1080
/45 /45
x = 24
Then plug in for largest number.
9 (24) = 216
Look at the triangles shown below.
What is the value of b?
A)6
B)27T3
C)зVT3
D) 3V14
Answers
Applying the leg rule, the value of b in the triangles is: C. 3√13.
What is the Leg rule?The leg rule states that where the altitude of a right triangle bisects its hypotenuse, then, hypotenuse/leg = leg/part, of the right triangle.
Given:
Hypotenuse = 4 + 9 = 13
Leg = b
part = 9
Thus:
13/b = b/9
Cross multiply
b² = 9 × 13
b = √(9 × 13)
b = 3√13
Thus, applying the leg rule, the value of b in the triangles is: C. 3√13.
Learn more about the leg rule on:
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What is the value of x?
Enter your answer in the box
Answers
Check the picture below.
in the algebraic expression 7 divided by y , what is the coefficient of y? Explain.
Answers
Answer:
The coefficient of y is 0
Step-by-step explanation:
A coefficient is a number attached to a variable. Y has no number attached. The coefficient of y is 0.
4
5. The fifth graders were given sandwiches for lunch
5
during their field trip. Nathan ate of his sandwich,
3
Leroy ate z of his sandwich, and Sofia ate of her sandwich.
Who ate the greatest amount of their sandwich? Explain.
7
8
Answers
9.) 6 less than twice a number is less than or
Write inequality and for problem
equal to 10.
Answers
Answer:
Write inequality and for problem
equal to 10.