Answer:
B
Step-by-step explanation:
even roots bounce at (0,0)
negative leading coefficient: initial graph descending to right, curve up
4 local extremes means remaining 5 degree of the function
The function F(x) = - x⁷ + 4x³ - 2x² could have created the given graph. which is the correct answer would be an option (B).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To create a graph of the function F(x) = - x⁷ + 4x³ - 2x², you can follow these steps:
Choose a range of x-values to use for the graph. For example, you might choose x = -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2.
Substitute each x-value into the function to find the corresponding y-value. For example, if x = -1, then y = F(-1) = - (-1)⁷ + 4(-1)³ - 2(-1)² = -1 + 4 + 2 = 5.
Plot the points (x, y) on a coordinate plane. For example, you would plot the point (-1, 5) on the coordinate plane.
Connect the points with a smooth curve to create the graph of the function.
Therefore, we can conclude that function F(x) = - x⁷ + 4x³ - 2x² could have created the given graph.
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The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism and the cube?
Answer:
[tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle V_P = 2x^3 - 6x^2 + 8x[/tex]
[tex]\displaystyle V_C = 27x^3[/tex]
Step 2: Find Combined Volume
[Set up] Add: [tex]\displaystyle V_P + V_C = V_{P + C}[/tex]Substitute in variables: [tex]\displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x[/tex]Combine like terms: [tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]Triangle HAM is reflected over the y-axis using the rule (x, y) → (−x, y) to create triangle H′A′M′. If a line segment is drawn from point A to point A′, which statement would best describe the line segment drawn in relation to the y-axis?
They create concentric circles.
They are parallel to each other.
The y-axis is a bisector of the segment drawn.
The segment drawn and the y-axis are congruent to each other.
The statement that best describes the line segment drawn in relation to the y-axis is (c) the y-axis is a bisector of the segment drawn.
The transformation rule is given as:
[tex](x,y) \to (-x,y)[/tex]
When the triangle is reflected to form triangle H'A'M', the vertices of triangle H'A'M' would be:
[tex]H'A'M' = (-x,y)[/tex]
So, the distance from point A to the y-axis is equidistant to the distance from point A' to the y-axis.
This, in other words means that the y-axis bisects the line segment AA'.
Hence, the relation between the segment and the y-axis is (c)
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Answer:
C. The y-axis is a bisector of the segment drawn.
Step-by-step explanation:
The pentagons ABCDE and JKLMN are similar find the length x of JK
Answer:
x = 8
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values
[tex]\frac{x}{4}[/tex] = [tex]\frac{6}{3}[/tex] = 2 ( multiply both sides by 4 to clear the fraction )
x = 8
3,415.72 - 1,838.28 = 1577.44
4. Janet earns $6.25 an hour for guarding paintings. If she works 24.3 hours a week for a period of six
weeks, how much does she earn from working six weeks?
Allison has 10 coins in dimes and nickels in her purse. The value of the coins is $0.70. Which pair of equations can be used to find the number of dimes, d, and nickels, n, Allison has in her purse?
Answer:
A lot
Step-by-step explanation:
Does this girl not have a credit card
The pair of equations is d + n = 10 and d + 5 n = 7 that can be used to find the number of dimes and nickels.
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Number of dimes = d
And number of nickels = n.
Total number of coins = 10.
Also, the value of coins = $0.70.
According to given conditions,
Since, Total number of coins is 10,
The equation can be written as,
d + n = 10
Total value of coins are = 0.70
0.1d + 0.05n = 0.70
1/10 d / 5n / 100 = 0.70
10 d + 50 n = 70
d + 5 n = 7
The required pair of equations are d + n = 10 and d + 5 n = 7.
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A map is drawn using a scale of 1 centimeter to 25 kilometers.
What actual distance is represented by a map length of 3.2 centimeters?
Find a direct relationship
between y and x.
x= e2t and y= et
y = [?
Answer:
y=√x
Step-by-step explanation: here are the steps
find the value of x and y
answer. X=50
as..
draw a imaginary line between M
let it one side be y and z
y+z=120
now,
y=70(being alternate angle)
y+z =120
so
z=120-70
z=50
as we know,
z is alternate to X
so ,X=50
The angle of elevation to a nearby tree from a point on the ground is measured to be
73°. How tall is the tree if the point on the ground is 28 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.
Answer:91.6
Step-by-step explanation:
The height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.
The angle of elevation is given 73°. The distance between the point on the ground and the tree is 28 feet.
What is a trigonometric function?In mathematics, the trigonometric function is a function that deals with the sides of the right-angled triangle and angles.
sin, cos, tan, cosec, sec, and cot are the basic function of trigonometric.
We know that tan Ф = perpendicular / Base
tan 73° = h / 28
tan 73° × 28 = h
3.27 × 28 =h
h = 91.5 ft
Therefore, the height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.
Learn more about a trigonometric function;
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In a snail race, the winning snail traveled 5.85 cm in 3/4 of a minute. How fast was the snail traveling per second?
Answer:
0.13 cm per second
Step-by-step explanation:
Lets convert the minutes to seconds:
3/4 minutes = 3/4(60) = 45 seconds
The snail traveled 5.85 cm in 45 seconds
To find out the speed per second, we set up a proportion:
[tex]\frac{5.85}{45} = \frac{x}{1}[/tex] where 45 and 1 represent the number of seconds, and 5.85 and x represent the distance in that set of time
Let's solve for x, or the distance in 1 second:
[tex]\frac{5.85}{45}=\frac{x}{1}\\\\\\\frac{5.85*1}{45x}\\\\\\x = \frac{5.85}{45}\\\\\\\\\\x = 0.13[/tex]
The snail travels 0.13 cm per second.
-Chetan K
A group of 120 seventh- and eighth-grade students were asked whether they participate in sports or in nonâ€"sports-related activities. The two-way table shows their answers. Participation in Sports or Non-Sports A 4-column table with 3 rows. The first column has no label with entries seventh grade, eighth grade, total. The second column is labeled sports with entries 39, 29, 68. The third column is labeled non-sports with entries 24, 28, 52. The fourth column is labeled total with entries 63, 57, 120. Which statement is correct? Twenty-nine seventh-grade students chose a sports activity. Twenty-eight eighth-grade students chose a sports activity. Twenty-four seventh-grade students chose a non-sports activity. Thirty-nine eighth-grade students chose a non-sports activity.
The true statement about the group of 120 seventh-and eighth-grade students is (c) twenty-four seventh-grade students chose a non-sports activity
The entries are given as:
Sports Non Sports Total
Seventh Grade: 39 24 63
Eighth Grade: 29 28 57
Total 68 52 120
From the above entries, we have the following highlights:
39 seventh-grade students chose a sports activity. 29 eighth-grade students chose a sports activity. 24 seventh-grade students chose a non-sports activity28 eighth-grade students chose a non-sports activity.From the above highlights, we can conclude that the following statement from the options is true
(c) twenty-four seventh-grade students chose a non-sports activity
Read more about data representation at:
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Answer:
c)
Step-by-step explanation:
Simplify the question
Not drawn
to scale
(x - 2)cm
D
The diagram shows two joined rectangles.
The total area of the compound shape
ABCDEF is 36 cm
2x cm
c
By considering the areas of the two rectangles,
show that 2x2 - 5x - 18 = 0 and hence find B
the value of length AB.
x cm
A
+
(x - 4)cm
Note: Please make sure your final line only shows your final answer written as AB = ...
First find the areas of the two separate rectangles where:
Area of rectangle = length x width
Area of the small rectangle = x(x–4)
Area of small rectangle = [tex]x^{2} -4x[/tex]
Area of big rectangle = (x–2)(2x+x)
Area of big rectangle = (x–2)(3x)
Area of big rectangle = [tex]3x^{2} -6x[/tex]
The total area of the compound shape is 36, therefore:
[tex]3x^{2} -6x +x^{2} -4x=36[/tex]
[tex]4x^{2} -10x-36=0[/tex] (collecting like-terms and by bringing the +36 to the other side)
By dividing this by 2, you get:
[tex]2(2x^{2} -5x-18)=0[/tex]
[tex]2x^{2} -5x-18=0[/tex]
To find the length of AB (x), solve the quadratic by either factorising, completing the square or by using the quadratic formula, etc to solve for x.
[tex]2x^{2} -5x-18=0[/tex]
[tex](2x-9)(x+2)=0[/tex]
[tex]x=\frac{9}{2}[/tex]
[tex]x=-2[/tex]
However, a length cannot be negative, so x must be [tex]\frac{9}{2}[/tex] or 4.5cm, so length AB = 4.5cm.
Hope this helps :)
“ Use what you know about function notation to complete the statements “ PLS HELPP
Step-by-step explanation:
I don't know the options to pick from.
the 2 main possibilities coming to my mind are
y = f(x)
or
(x, f(x)) or (x, y)
there is no specific function coming to mind. the functional values bounce around above and below the x-axis (positive and negative y-values) with not detectable pattern related to the x values.
the other 2 questions can be found directly in the table :
f(3) means f(x) with x=3, and that is -2
and f(x) = -5 is true, when x = 4
what's the Answer ?
[tex] \tiny\sf{6 + 6 \div 3}[/tex]
Answer: 8
Step-by-step explanation:
PEMDAS
division first
6 + 2
8
Answer:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Step-by-step explanation:
6/3 = 2
6+2 = 8
HAVE A NICE DAY
Write an equation in point-slope form of the line
that passes through the points (5. – 1) and
(-6,-4).
Answer:
y+1 = [tex]\frac{3}{11}[/tex](x-5)
Step-by-step explanation:
First, find the slope.
-4--1= -3
-6-5= -11
3/11 is the slope
Plug in the slope and one the the points.
y+1 = [tex]\frac{3}{11}[/tex](x-5)
Follow me on i n s t a g r a m, send a message, and I'll follow you back : ifaulkner24
PLS HELP ME ASAP
NO LINKS
Answer:a
Step-by-step explanation:
Question 10
The graph below shows a rational function.
10-
5
-
1
2
3
4
5
6
-3
-6
-5
-4
-2
-5
10-
15+
Select the function that represents the graph.
32+5
A y =
2+1
O
0
B
y =
32+5
2+2
22
с
y =
D
y=2-1
According to it's asymptotes, the function represented by the graph is:
[tex]y = \frac{3x + 5}{x + 1}[/tex]
The vertical asympotes of a function f(x) is the points which are outside the function domain.
In a fraction, they are given by the zeroes of the denominator.In this problem, there is a vertical asymptote at x = -1, which is a zero of the denominator, hence the denominator is x + 1.
The horizontal asymptotes are the values of the function as x goes to infinity.
In this problem, they are given by:
[tex]\lim_{x \rightarrow -\infty} f(x) = -3[/tex]
[tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex]
Hence, the option that satisfies it is:
[tex]y = \frac{3x + 5}{x + 1}[/tex]
To learn more about asymptotes, you can take a look at https://brainly.com/question/16948935.
A donut shop made 50 donuts. They put frosting on 33 of the donuts. What is the ratio of the number of donuts with frosting to the total number of donuts?
Answer:
33:50
Step-by-step explanation:
if there are 50 donuts that gives you 1 part of your answer. Then you have 33 donuts frosted there the other part. Glad I can help
Please, Please help ASAP
Answer:
5 is the answer
please mark as brainlist
thank you
Hugo is mixing blue paint with red paint to create purple paint.
The ratio of blue to red is 3 to 2.
How many pints of blue paint will he use to create 40 pints of purple paint?
Answer:
24 pints of blue paint. I don't know of this is a solid way to get the answer, but I added 3+2=5. then 40/5=8. Then multiplied 8*3=24 and 2*8=16
Step-by-step explanation:
Christian's mom made some cookies. Christian ate 3\9 of the cookies and gabriel ate 1\3 of them. What fraction of the cookies were left?
Answer:
1/3 of the cookies remain
Step-by-step explanation:
Christian ate 3/9 of the cookies, which can be simplified into 1/3
Gabriel ate the other 1/3
Therefore, there are only 1/3 of the cookies remaining
heda ate 1/12 box of ceral now the box is 3/4 full
Help tell me the numbers in order
Is 1:4 equivalent to 12:3
Answer: no
Step-by-step explanation:
first, we have to simplify when finding if they are equivalent or not.
1:4 = 0.25
12:3 = 4:1
Answer:
Yes (if your doing fractions)
Step-by-step explanation:
If you didn’t know how to simplify you could see the greatest possible multiple that 3 and 12 share. So 3 is the greatest possible multiple because 3x4=12. So you do the denominator and numerator to divide 3 and eventually you will get 1/4. (Sorry if I’m not accurate)
Help me :) Please and Thanks
Answer:
0.65
Step-by-step explanation:
the number is greater than 0.5 and less than 7, that would usually be 0.6 but since it has two decimal places, it can be 0.61 to 0.68 since 0.69 would be the largest
A phone company is offering several different prepaid data plans.
Prepaid Single Phone Plan Prepaid Family Plan
$30 for 1 GB $30 for 1 GB
$35 for 6 GB $40 for 6 GB
$45 for 16 GB $50 for 16 GB
$65 for Unlimited Data $70 for Unlimited Data
Which of the following deals has the cheapest price per GB?
A.
Prepaid Single Phone Plan $35 for 6 GB
B.
Prepaid Single Phone Plan $45 for 16 GB
C.
Prepaid Family Plan 1 Person $30 for 1 GB
D.
Prepaid Family Plan 1 Person $50 for 16 GB
The data plan that has the cheapest deal is given by the ratio of the data
plan price to the GB allocated.
The deal that has the cheapest price per GB is B. Prepaid Single Phone Plan $45 for 16 GB.The given phone data plans are;
[tex]\begin{tabular}{|l|cl|}&Prepaid Single Phone Plan&Prepaid Family Plan\\ a&\$30 for 1 GB &\$30 for 1 GB\\b& \$35 for 6 GB & \$40 for 6 GB\\ c&\$45 for 16 GB&\$50 for 16 GB\\d & \$65 for Unlimited Data & \$70 for Unlimited Data\end{array}\right][/tex]
The price per GB are;
Plan a = $30 ÷ 1 = $30 per GB
Plan b = $35 ÷ 6 = $5.8[tex]\overline 3[/tex] per GB and $40÷ 6 = $6.[tex]\overline 6[/tex] per GB for Family Plan
Plan c = 45 ÷ 16 = $2.8125 per GB and $3.125 per GB
Plan d = $65 for Unlimited Data = 65 ÷ ∞ ≈ 0; $70 for Unlimited Data = 0
Therefore, the plan with the cheapest price per GB from the given option is option B. Prepaid Single Phone Plan $45 for 16 GB.
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The marked price of a tablet is €800. During a sale its sold at €640. This means one saves €160 during the sale
a) Find the percentage discount
Answer:
c. $28.84
Step-by-step explanation:
C 28.84 just multiply 38.45 by .25 then you should get 9.6125 you subtract 38.45 by 9.6125 and get 28.84
Lin has a pet German Shepherd that weighs 38 when measured in one unit and 84 when measured in a different unit. which measurement is in pounds, and which is in kilograms?
Answer:
38= kilo 84= pounds
Step-by-step explanation:
If a coordinate point is at (4, 2) and is translated down 3 units and right 1 unit, what is its new coordinate point? *
Answer:
1,3
Step-by-step explanation:
If a coordinate point is at (4, 2) and is translated down 3 units and right 1 unit, what is its new coordinate point?
4-3=1
2+1=3
(1,3)
Answer: (-1,5)
Step-by-step explanation: