What can you say about the end behavior of the function f(x) = -4x6+6x2 -52 ?
A. F(x)is an even function so both ends of the graph go in the same
direction.
B. f(x) is an even function so both ends of the graph go in opposite
directions
O C. The leading coefficient is negative so the left end of the graph
goes up.
D. The leading coefficient is negative so the left end of the graph
goes down
Answers
Answer:
A. F(x)is an even function so both ends of the graph go in the same direction.
D. The leading coefficient is negative so the left end of the graph goes down.
Step-by-step explanation:
Even function:
For every value of x, f(x) = f(-x)
In this question:
We are given the following function:
[tex]f(x) = -4x^6 + 6x^2 - 52[/tex]
Testing if it is even:
[tex]f(1) = -4(1)^6 + 6(1)^2 - 52 = -4 + 6 - 52 = -50[/tex]
[tex]f(-1) = -4(-1)^6 + 6(-1)^2 - 52 = -4 + 6 - 52 = -50[/tex]
Since f(1) = f(-1), it is even.
Since it is even, both ends of the graph go in the same direction, so option A is correct, while option B is wrong.
Options C and D:
The leading coefficient, is -4(which multiplies x with the highest exponent). Since it is negative, it goes to negative infinity as x increases, that is, the left end goes down, and option D is correct while C is not.
Related Questions
Four boys compare the numbers on their football jerseys. Parker has the number 55. Nick has 49. Marshall has 57, and Leon has 59. Whose jersey has a prime number?
Answers
Answer:
Leon's jersey has a prime number
Step-by-step explanation:
find the surface area .NO FILES #2
Answers
Answer:
486
Step-by-step explanation:
The solid is a cube. The faces of a cube are 6 congruent squares.
side = 9 ft
surface area = 6 * side²
SA = 6 * (9 ft)²
SA = 486 ft²
the standard iq test is designed so that the mean is 100 and the standard deviation is 15 for the population of all adults. We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90% confident that our sample mean is within 2 IQ points of the true mean. Assume then that
Answers
Answer:
A sample of 153 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation is 15 for the population of all adults.
This means that [tex]\sigma = 15[/tex]
We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90% confident that our sample mean is within 2 IQ points of the true mean.
This means that a sample of n is needed.
n is found when M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 1.645\frac{15}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 1.645*15[/tex]
Simplifying both sides by 2
[tex]\sqrt{n} = 1.645*7.5[/tex]
[tex](\sqrt{n})^2 = (1.645*7.5)^2[/tex]
[tex]n = 152.2[/tex]
Rounding up:
A sample of 153 is needed.
You take your friend to Olive Garden for her birthday. The meal cost $25.80 plus a 5% sales tax. You then leave the server a 20% tip. How much did you spend all together?
Answers
Answer:
$30.96
Step-by-step explanation:
I hope this helps
-x + 6 = 15, x = _________ what does x equal
Answers
Answer:
15-6
Step-by-step explanation:
if it helps don't forget to like and mark me
x=-9
Hope this helps :T
0=12X²-64X+20 quie me puede hacer el favor de realizarmelo
Answers
Answer:
x = 1/3 , 5
Step-by-step explanation:
Factoriza y establece cada factor igual a cero.
Simplify the expression: 15i ⋅ 4i
Answers
Answer:
I think the answer is 11i
there is the correct answer.
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
Answers
Answer:
x > 5
Step-by-step explanation:
–3(2x – 5) < 5(2 – x)
-6x + 15 < 10 - 5x
-6x + 5x < 10 - 15
-x < -5
x > 5
Which survey question is unbiased?
O A. "Do you think we should allow them to cut down the trees and pave over the grass for the new playground?"
B. "Which do you prefer with a meal-water, or a syrupy sweet soft drink?"
C. "Should there be a school dress code?"
D. "Do you prefer bringing a healthy lunch to school or eating cafeteria food?"
Answers
Answer:
Should be a dress code i hope this helps god bless you all
Step-by-step explanation:
What is the answer!! I need HELP!! ASAP apps be accurate of ur answer and look at the pic
Answers
Answer:
105, I think if not please tell me it isn't!
BRAINLIEST IF YOUR RIGHT THANKS
Answers
Answer:
[tex]1st \: = 16.3pints \: \\ 2nd \: = 23.7pints \\ \\ [/tex]
Workers at the Pythagorean Construction Company are building a new house. They need to make sure that proper right triangles are formed to ensure that a safe house is built. What statement should the builders use to ensure that right triangles are formed? If the sum of the two shorter sides equals the longest side, then the triangle is a right triangle. If the sum of the squares of the two longer sides equals the square of the shortest side, then the triangle is a right triangle. If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle. If the difference of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
Answers
Answer: C.) If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
Step-by-step explanation: i hope this helps! :)
The correct statement is (C)
What is Pythagoras theorem?The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
example:
The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.
Given : Hypotenuse = 16 units
Let us consider the given side of a triangle as the perpendicular height = 8 units
On substituting the given dimensions to the Pythagoras theorem formula
Hypotenuse2 = Base2 + Height2
162 = B2 + 82
B2 = 256 - 64
B = √192 = 13.856 units
So, Using the definition of Pythagoras theorem
the statement would be
If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
Learn more about pythagoras theorem here:
brainly.com/question/343682
#SPJ2
I need helpppppppp :(
Answers
Answer:
The blank for the computers will be 20 because they are multiply each number by 2. The top blanks will be 4 and 16
Step-by-step explanation:
If the principle is $12,000 and the rate of interest is 6% (simple interest), what
is the total amount after one year?
[no links please (:]
Answers
9514 1404 393
Answer:
$12,720
Step-by-step explanation:
The amount is given by the formula ...
A = P(1 +rt)
where P is the principal, invested at rate r for t years.
A = $12,000(1 +0.06·1) = $12,720
The total amount after 1 year is $12,720.
What is the approximate area of the circle shown below
Answers
Answer:
43 FT^2
Step-by-step explanation:
3.14159265359 x 3.7^2
Pi times the radius squared
Exclamation : Hope this helps
What is a cubic polynomial function with zeros -13, -2, and 7?
Answers
Answer: x^3+8x^2-79x-182
Step-by-step explanation:
(x+13)(x+2)(x-7)=x^3+8x^2-79x-182
If 5b -1= b, then 16b =
Answers
Answer:
80b-16
Step-by-step explanation:
16(5b-1)
yo can someone please help me out. school is rlly stressful and i just need help. the question is “find the perimeter and area of each figure. use 3.14 for pi when needed.” the work is on composite figures. tysm <3
Answers
what is the sum of the fraction
Answers
Answer:
d) 72/100
Step-by-step explanation:
the first grid is 42/100 so you add the 3/10 which 3/10 is equal to 30/100 the grid is just simplified. Once you add 42/100 and 30/100 it equals to 72/100. Hope this is helps you !
Answer:
72/100
Step-by-step explanation:
There is 40 whole and 30 whole which equals 70. Plus 2 which is 72 so the answer is 72/100
Data and
ts
Which data set could be represented by the box plot shown below?
Ots
ng box
+
box plot
25
28
31
34
37
40
ole: Creating
number of
Choose 1 answer:
Sle: Creating
n number
25, 28, 28, 29, 30, 34, 35, 37, 37, 38
25, 28, 29, 29, 30, 34, 35, 35, 37, 38
ting box
25, 28, 29, 29, 32, 34, 35, 36, 37, 38
ox plots
25, 28, 29, 29, 30, 34, 35, 35, 37, 40
preting
Answers
Answer: is D on khan academy
A researcher recorded the number of e-mails received in a month and the number of online purchases made during that month for 50 people with an online presence. The resulting data were used to conduct a hypothesis test to investigate whether the slope of the population regression line relating number of e-mails received to number of online purchases is positive. What are the correct hypotheses for the test?
a. H0:β1=0Ha:β1≠0
b. H0:β1=0Ha:β1>0
c. H0:β1=0Ha:β1<0
d. H0:β1>0Ha:β1=0
e. H0:b1=0Ha:b1≠0
Answers
Answer:
B
Step-by-step explanation:
College Board
What is an equation of the line that passes through the point (-5,-2) and is
parallel to the line x - y = 5?
Answers
Answer:
[tex]y=x+3[/tex]
Step-by-step explanation:
What we need to know
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope
[tex]x - y = 5[/tex]
Subtract both sides by x
[tex]x - y -x= -x+5\\-y= -x+5[/tex]
Divide both sides by -1
[tex]y= x-5[/tex]
Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.
Plugging 1 as m into [tex]y=mx+b[/tex], we get:
[tex]y=x+b[/tex]
2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation
[tex]y=x+b[/tex]
Plug in the given point (-5,-2)
[tex]-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:
[tex]y=x+b\\y=x+3[/tex]
I hope this helps!
1/2 divided by 2 3/4
Answers
Answer:
2/11
Step-by-step explanation:
2 3/4 = 11/4
1/2 x 4/11 = 4/22 *when you divide a something by a fraction, you flip that fraction to get its reciprocal*
4/22 simplified is 2/11
Triangle JKL is on the coordinate grid below what is the slope of the altitude from vertex K to segment JL
Answers
Answer:
5/6
Step-by-step explanation:
... A person has 5 coins in their pocket. A dime, 2 pennies, a quarter, and a nickel. If a person randomly
picks one coin out of their pocket. What would the probability be that they get a penny?
HELP ME PLSSSSS
Answers
Answer:
2/5 i think not sure
Step-by-step explanation:
Answer:
There is a 40% chance of the person pulling out a penny.
Step-by-step explanation:
Out of 5 coins, 2 of them are pennies. This is 2 out of 5.
2 out of 5 is a fraction, 2/5.
2/5 in percent form is 40%.
Which ordered pair is a solution for 3x + 4y < 12?
Answers
Answer:
D, (1,2)
Step-by-step explanation:
It all comes down to substitution. In this case the coefficient of x is 3 and the coefficient of y is 4. The format of these coordinates being (x,y).
1. Plug in your x value (1 in this circumstance) and solve:
3(1) + 4y < 12
3 + 4y < 12
2. Plug in your y value (2 in this circumstance) and solve:
3 + 4(2) < 12
3 + 8 < 12
3. Solve
3 + 8 = 11
11 < 12
find the derivative of 1/x^4/3
Answers
Answer:
[tex]\displaystyle \frac{dy}{dx} = \frac{-4}{3x^5}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \frac{\frac{1}{x^4}}{3}[/tex]
Step 2: Differentiate
Derivative Property [Addition/Subtraction]: [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx} \bigg[ \frac{1}{x^4} \bigg][/tex]Rewrite: [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx}[x^{-4}][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{3}(-4x^{-5})[/tex]Simplify: [tex]\displaystyle y' = \frac{-4}{3x^5}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Which shape has the least lines of symmetry?
Answers
Answer:
A
Step-by-step explanation:
B, C, D are all symmetrical
Answer:
a
Step-by-step explanation:
since B, C, D are all symmetrical it should be a
someone help me ASAP
NO LINK
Answers
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Answers
Answer:A
Step-by-step explanation:
● Alternate interior angles are always equal.
How are other options incorrect?Angles given in option A are forming linear pair.Angles given in option B are too forming a linear pair.Angles given in option D are corresponding angles.