Determine the range of: f(x) = 13 - 20x - x^2 -3x^4. Also, find the max. And min. Values and state where those values occur
Answers
The range of the graph refers to the coverage of y-values of the curve. From the picture, we could see that it covers most of the negative y-axis. To know at which value, let's find the maxima. There is no minima for this graph as you can see because it extends downwards infinitely at both sides.
To find the maxima, differentitate f(x) with respect to x and equate to 0
f'(x) = 0 = -20-2x-12x^3=0
You can find the roots easily by using a scientific calculator using the mode EQN. For this equation, there are 2 complex root and 1 real root. Thus, x = -1.14. Substitute this to the original equation:
y = 13 - 20(-1.14) - (-1.14)^2 -3(-1.14)^4
y = 29.433
Thus, the maxima is at point (-1.14,29.433). It can't be seen clearly in the graph because of the close intervals.
Related Questions
Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. he puts all 80 of neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asked those families if they plan to attend the party he finds that 20% of the family is planning to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party is this a valid inference ???????explain why.
Answers
Answer: It is c
it is not a or b or d because they don't make since
also i took the flvs test
:)
Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is ____ square units.
Answers
Answer:
50 square units.
Step-by-step explanation:
Given in the picture is a right angled triangle
The coordinates of A are (-9,10) and B are (7,-2) and C is (4,-6)
Given that BC = 5 units
AB = distance between A and B
=distance between two points (-9,10) and (7,-2)
=[tex]\sqrt{(-9-7)^2+(10+2)^2} =\sqrt{256+144} \\=20[/tex]
Thus if we consider BC as base then AB is the height
Area of triangle = 1/2 bh = 1/2 (5)(20)
= 50 square units
The area of the triangle is: 50 square units.
What is the Area of a Triangle?Area of a triangle = 1/2(base × height).
Given right triangle ABC:
Base = BC = 5 units
Height = AB = ?
Using the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] to find AB:
Let,
A(-9, 10) = (x1, y1)
B(7, -2) = (x2, y2)
Thus:
[tex]AB = \sqrt{(7 -(-9))^2 + (-2 - 10)^2}\\\\AB = 20 $ units[/tex]
Area of triangle = 1/2(5 × 20) = 50 square units.
Learn more about the area of triangle on:
https://brainly.com/question/21735282
What is the relationship between the 6's in the number 6647
Answers
6647=6000+600+40+7
The first 6 in the number is in the thousands place (6,000), and the second 6 is in the hundreds place (600).
The first 6 is 10 times greater than the second one.
Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.
Answers
589(20x+108)=372(273+20x+108)
.
.
.
x=18
The table shows the price of bagels at two different stores: Store Price Bagels Bagel Stop $6.00 15 bagels Yummy Bagels $14.00 35 bagels' Yummy Bagels sells bagels at a lower unit price than Bagel Stop. True False
Answers
yummy bagels : 14/35 = 0.40 per bagel
false...bagels at both stores have the same unit price
Find the volume of the cylinder to the nearest tenth use 3.14
Answers
the answer is 3.14 r^2 h
the h is the height
Kenji wants to divide 48.6 by 0.15. What is the first step that Kenji must complete?
Multiply the divisor and dividend by 10.
Multiply the divisor and dividend by 100.
Divide the divisor and dividend by 100.
Divide the divisor and dividend by 10.
Answers
The first step that Kenji must complete is option (B) multiply the divisor and dividend by 100 is the correct answer.
What is a division?A division is a process of splitting a specific amount into equal parts. The number to be divided by another number is called the dividend. The number by which we divide another number (dividend) into equal parts is called the divisor.
For the given situation,
Kenji wants to divide 48.6 by 0.15.
[tex]\frac{48.6}{0.15}[/tex]
Step 1:
To perform division, the first step is to make the divisor and dividend without decimals.
So multiply the divisor and dividend by 100.
⇒ [tex]\frac{48.6}{0.15}=\frac{48.6(100)}{0.15(100)}[/tex]
⇒ [tex]\frac{4860}{15}[/tex]
Hence we can conclude that the first step that Kenji must complete is option (B) multiply the divisor and dividend by 100 is the correct answer.
Learn more about division here
https://brainly.com/question/16831412
#SPJ3
A large ice floe is floating at a speed of 3 kilometers per hour. A polar bear leaves the floe and swims in the opposite direction at 9 kilometers per hour. How long will it be before the polar bear is 4 kilometers away from the floe?
How do I do this??? My teacher never teaches me!!
Answers
The polar bear and the ice floe have a relative speed of 12 kilometers per hour. Given they're moving in opposite directions and the polar bear should end up 4 kilometers away, it would take approximately 0.33 hours or 20 minutes for the bear to reach this distance.
Explanation:The subject of this problem is relative speed. When two objects are moving in the opposite direction, their relative speed is the sum of their individual speeds. In this case, the ice floe is moving at 3 kilometers per hour and the polar bear is swimming at 9 kilometers per hour. So, their relative speed is 3 + 9 = 12 kilometers per hour.
The distance between the polar bear and the floe is 4 kilometers. To find out how long it will be before the polar bear is 4 kilometers away from the floe, you would divide the total distance by the relative speed. Therefore, the time would be 4 kilometers divided by 12 kilometers per hour equals 0.33 hours, or approximately 20 minutes.
Learn more about Relative Speed here:https://brainly.com/question/14362959
#SPJ2
Dan received a $45.25gift card for a photo center. He used it to buy prints that cost 25 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following function.
B (x) = 45.25- 0.25x
What is the remaining balance on the card if Dan bought 50 prints?
Answers
b(50)=45.25-12.5
b(50)=32.75
Final answer: $32.75
The remaining balance on the card after buying 50 prints is $32.75.
Explanation:To find the remaining balance, B(x), on the gift card after buying x prints, we can substitute the value of x into the given function B(x) = 45.25 - 0.25x. In this case, x = 50.
Substituting x = 50 into the function, we have B(50) = 45.25 - 0.25(50) = 45.25 - 12.50 = 32.75.
Therefore, the remaining balance on the card after buying 50 prints is $32.75.
Learn more about Remaining balance on a gift card here:https://brainly.com/question/34216984
#SPJ11
Clark has 7 1/2 feet of wire. Part a: how many 3/4 foot pieces can clark cut from the 7 1/2 feet of wire? Part B: using the information in part a, interpret the meaning of the quoitient in terms of the two fractions given
Answers
(15/2) / (3/4) =
15/2 * 4/3 =
60/6 =
10....so Clark can cut 10 three-fourths pieces of wire
What is 3 divided by 363
Answers
If you meant "363 divided by 3", the answer would be: 363/3 = 121
If you meant "3 divided by 363", the answer would be: 3/363= 0.0083
***I, personally, would go for the first answer: 121***
Crystal rollerbladed 150 feet in 15 seconds, while Gavin rollerbladed 150 feet in 10 seconds. Without doing any calculations, who was faster? Why?
Answers
Ur answer is d have a nice day
What is 64,005,874 in word and expanded form and 30,679,100
Answers
word form: sixty-four million, five thousand, eight hundred and seventy-four
expanded form: 60000000 + 4000000 + 5000 + 800 + 70 + 4
30679100
word: thirty million, six hundred seventy nine thousand, and one hundred
30000000 + 600000 + 70000 + 9000 + 100
hope this helps
Which expression can be used to determine 50% of 42?
42 - 2
42 / 2
42 / 10
42 - 10
Answers
Answer:
The answer is B
Step-by-step explanation:
Correct answer is 42 / 2.:)
Over the course of a year, a classroom went from 15
students to 19
students.
Use the drop-down menus to build an equation that could be used to find the percent change, p
, in the number of students.
Answers
19-15 =4
4/15 = 0.266
0.266*100 = 26.6%
so 19-15/15
Answer:
p = [tex](\frac{19-15}{15} )\times 100[/tex]
Step-by-step explanation:
Over the course of a year classroom went from 15 to 19 students.
So students added = 19 - 15 = 4
Now percentage of this addition will be p = [tex](\frac{\text{students added}}{\text{total students before addition}})\times 100[/tex]
p = [tex](\frac{19-15}{15} )\times 100[/tex]
7y + 6 - 1 + 12y equals what
Answers
Add like terms together, the like terms are 12y & 7y, and the other like terms are 6 and -1. You can't find the specific number because you do not know x, therefore you write it as an equation.
Which shows the expressions in the order they would appear on a number line from least to greatest?
2 to the power of 3, square root of 5, square root of 20, square root of 11 11 over 9
2 to the power of 3, square root of 11, 11 over 9, square root of 20, square root of 11
11 over 9, square root of 5, square root of 11, square root of 20, 2 to the power of 3
11 over 9, 2 to the power of 3, square root of 5, square root of 20, square root of 11
Answers
11/9 = 1.22
sqrt 5 = 2.24
sqrt 20 = 4.47
sqrt 11 = 3.32
least to greatest : 11/9, sqrt 5 , sqrt 11 , sqrt 20, 2^3
The expressions in the order they would appear on a number line from least to greatest is 11/9, √5, √11, √20, 2³
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given are the statements expressing expressions,
2³ = 8
11/9 = 1.22
sqrt 5 = 2.24
sqrt 20 = 4.47
sqrt 11 = 3.32
Hence, the expressions in the order they would appear on a number line from least to greatest is 11/9, √5, √11, √20, 2³
For more references on expressions, click;
https://brainly.com/question/14083225
#SPJ6
The floor of a rectangular room will be tiled with square tiles that measure 3 inches on each side. The room is 109 inches long and 103 inches wide. How many tiles, including parts of tiles, are needed to complete the job?
Answers
109 *103 = 11227 square inches
tile = 3^2 = 9 square inches
11227/9 = 1247.44 tiles are needed.
you can't buy a partial tile so you would need 1248 tiles
Answer:
We need 1248 tiles to complete the job.
Step-by-step explanation:
First we have to get the area of the room and the area of each tile
Area = long x wide
Room Area = 109 x 103 = 11227 square inches
Tile area = 3 x 3 = 9 square inches
To get how many tiles we need, we must divide the room area by the tile area
Q=11227/9= 1247,44 ≅1248
Ken ordered 4/5 of a ton of sand. He wants to recieve 1/3 now and 2/3 later. What fraction of a ton of sand should he recieve now?
Answers
With 128, 134, 140, 146, 152, what's the next number if the pattern continues?
Answers
so the next number is 152+6=158
HELP
2 (3x-7)=-4x-6+9x-8
Answers
6x - 14 = -4x - 6 +9x - 8 Combine like terms (-4x and 9x) (-6 and -8)
6x - 14 = 5x - 14 Subtract 5x from both sides
x - 14 = -14 Add 14 to both sides
x = 0
Check your answer.
2 (3x - 7) = -4x - 6 + 9x - 8 Substitute x for 0
2 (3(0) - 7) = -4(0) - 6 + 9(0) - 8 Multiply 3(0)
2 (0 - 7) = -4(0) - 6 + 9(0) - 8 Multiply -4(0)
2 (0 - 7) = 0 - 6 + 9(0) - 8 Multiply 9(0)
2 (0 - 7) = 0 - 6 + 0 - 8 Subtract (0 - 7)
2(-7) = 0 - 6 + 0 - 8 Multiply 2(-7)
-14 = 0 - 6 + 0 - 8 Get rid of the unneccesary 0s
-14 = -6 - 8 Subtract (-6 - 8)
-14 = -14
So, x = 0 .
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
To solve this, you need to first input the value given for the variables:
[tex]mx-y [/tex]
is
[tex]1*5-2 [/tex]
Follow BEDMAS to simplify the expression.
[tex]5-2 [/tex]
[tex]=3[/tex]
The answer would be 3.
Hope this helps.
-Benjamin
What is the surface area of a cube with a side length of 10 inches?
Answers
:)
10 * 10 = 100
100 * 6 = 600
Which line represents the line of reflection in this diagram?
f
g
h
i
Answers
Hope this helped...
Answer: The correct option is (C) h.
Step-by-step explanation: We are given to select the correct line that represents the line of reflection in the given diagram.
We know that
A line of reflection is a line such that each point of the original figure and the image are equidistant from it.
In other words, we can say that the line of reflection is equidistant from the original figure and the image.
Now, from the figure, we can see that the line g is close on the figure on the left than that in the right. So, line g cannot be the line of reflection.
Line i is close the right figure on the upper half and it is close to the left figure on the lower half. So, line i also cannot be the line of reflection.
Line f cannot be the line of reflection because the shape of the figure is not same in both the sides of f.
The only line that is equidistant from both the figures is line h.
Thus, the line of reflection is line h.
Option (C) is CORRECT.
5y-x=10 solve for y
Answers
because
[tex]5y-x=5(2+\frac{x}{5})-x=5\cdot 2 +\frac{x}{\not5}\cdot 5 - x= 10+x-x=10[/tex]
From the equation 5y - x = 10; the solution for y is; y = (10 + x)/5
According to the question;
We are required to determine the solution in terms of y for the equation.To solve for y; we must solve as follows;
5y - x = 105y = 10 +xy = (10+x)/5y = 2 + x/5
Read more on subject of formula:
https://brainly.com/question/23957741
Find the midpoint of diagonal BD. Figure ABCD is shown. A is at negative 3, 2. B is at 0, 6. C is at 6, 6. D is at 3, 2.
Answers
Add the components together and average them.
midpoint(B,D) = ((0 + 3) / 2) , ((6 + 2) / 2)
= (1.5, 4)
Hopefully this is the right answer.
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200dollar sign, 200 a month and an additional \$12$12dollar sign, 12 for each album that he sells. Last month he earned a total of \$644$644dollar sign, 644.
Write an equation to determine the number of albums (a)(a)left parenthesis, a, right parenthesis Floyd sold last month.
Find the number of albums Floyd sold last month.
albums
Answers
Equation: [tex]a=\frac{644-200}{12}[/tex]
Albums: [tex]37[/tex]
Also, the verified tutor above me, is also correct, I just feel like my explanations and answers are much for informational and simplier than his
Explanation:First lets find out how many albums Floyd sold in a month to find out the amount of albums and how we solved it.
Let's take the [tex]\\644\[/tex] and subtract [tex]200\[/tex] from it, because he didn't make any albums or anything to get
Now that we have the amount of money that he gets from albums, we can divide this amount of money by [tex]12\[/tex] because that's the amount of money he gets from [tex]1[/tex] album. [tex]\frac{444}{12}=37[/tex]
Now we know how many albums he sells for a total of [tex]444\[/tex] plus the [tex]200\[/tex] he gets on a monthly rate.
Thank you for sticking with me on trying to learn how you got these answers instead of just staright-up cheating!The equation that determines the number of albums sold is:
200 + 12a = 644
The number of albums Floyd sold last month is 37
Word Problems on linear equations
Monthly base rate = $200
Pay on each album = $12
Number of albums = a
Total money earned = $644
The equation that determines the number of albums sold is:
200 + 12a = 644
Solve the equation above to get the number of albums sold
12a = 644 - 200
12a = 444
a = 444/12
a = 37
The number of albums Floyd sold last month is 37
Learn more on linear equations here: https://brainly.com/question/21405634
7,005.9 rounded to the nearest one
Answers
Answer: 7, 006
Hope this helps :)
Please give brainliest
answer=7006 to nearest one
brainliest g and thanks plz:))))))))))))
Find the product. (2p 3)3 · (3p 2)2
Answers
= 2^3 p^9 * 3^2 p^4
= 8 p^9 * 9 p^4
= 72 p^13
Show work please. If you need to
Answers
dishwasher:
1200*0.15 = 180
1200-180 =$1,020
area:
middle section 6x6 = 36
left triangle 6*6*0.5 = 18
right triangle Area=base x height/2 = 6x6/2 = 18
36 +18 +18 =
72 in^2