Consider the polynomial function h(x) = -2x^5+ 8x^4
2x^2+15.
What is the end behavior of the graph of h ?
Answers
Answer: B
Step-by-step explanation:
Applying limits, it is found that the end behavior of the graph is:
B. As [tex]x \rightarrow \infty, h(x) \rightarrow -\infty[/tex], and as [tex]x \rightarrow -\infty, h(x) \rightarrow \infty[/tex].
The function is:
[tex]h(x) = -2x^5 + 8x^4 - 2x^2 + 15[/tex]
To find the end behavior, we apply the limits as x goes to infinity, in which just the term with the highest exponent is considered, hence:
[tex]\lim_{x \rightarrow -\infty} h(x) = \lim_{x \rightarrow -\infty} -2x^{5} = -2(-\infty)^5 = -2(-\infty) = \infty[/tex]
Then, as [tex]x \rightarrow -\infty, h(x) \rightarrow \infty[/tex]
[tex]\lim_{x \rightarrow \infty} h(x) = \lim_{x \rightarrow \infty} -2x^{5} = -2(\infty)^5 = -2(\infty) = -\infty[/tex]
Then, as [tex]x \rightarrow \infty, h(x) \rightarrow -\infty[/tex]
Hence, option B is correct.
A similar problem is given at https://brainly.com/question/24248193
Related Questions
whats the solution to the given system of equations?
-5x+8y=-36
5x+7y=6
Answers
Answer:
x=4, y=-2
Step-by-step explanation:
-5x+8y=-36
5x+7y=6
eqn 1+ eqn 2 gives
15y=-30
divide both sides by 15
y=-2, put in eqn 2
5x+7(-2)=6
5x=20 divide both sides by 5
x=4
Are the lines parallel, perpendicular, or neither show work cause I need to understand this
Answers
Answer:
Niether
Step-by-step explanation:
the slopes arent opposite so they arent perpendicular, they arent the same so they arent parallel. they are niether due to thier slopes, but if they had the same slope, the y intercept would have to be different for them to be parrallel or else they would be the same line
100 points! Someone please help me with this! I will mark brainliest! Picture is attached below. Random answers will be reported.
Answers
Answer:
7. Orthocenter is on the triangle, at (0,0).
8. Orthocenter is outside the triangle, at (1,-5)
Step-by-step explanation:
Answer:
7. (0, 0) - on the triangle8. (1, -5) - outside the triangleStep-by-step explanation:
Question 7Given points:
J(1, 3), K(-3, 1), L(0,0)Orthocenter is the intersection of altitudes. Altitude is perpendicular segment with one end on the opposite vertices.
Lets work out two altitudes and find their intersection.
Slope of JL
m(JL) = (0 - 3)/(0 - 1) = 3Equation of the line that is perpendicular to JL and passes through K(-3, 1). The line has the slope -1/3.
y - 1 = -1/3(x - (-3)) ⇒ y = -1/3xSlope of KL
m(KL) = (0-1)/(0 - (-3)) = -1/3Equation of the lines that is perpendicular to KL and passes through J(1, 3). The line has a slope -1/(-1/3) = 3
y - 3 = 3(x - 1) ⇒ y = 3xThe orthocenter is the intersection of the lines:
-1/3x = 3x ⇒ x = 0 ⇒ y = 0The point is (0, 0) which overlaps with point L so it is on the triangle
Question 8Given points:
D(-3, -2), E(-2, -2), F(1,2)Lets work out two altitudes and find their intersection.
Slope of DE
m(DE) = (-2 - (-2))/(-2 -(-3)) = 0, horizontal lineEquation of the line that is perpendicular to JL and passes through F(1, 2). The line is vertical:
x = 1Slope of EF
m(EF) = (2- (-2))/(1 - (-2)) = 4/3Equation of the lines that is perpendicular to EF and passes through D(-3,-2)
The line has a slope -1/(4/3) = -3/4:
y - (-2) = -3/4(x - (-3)) ⇒ y = -3/4x - 17/4The orthocenter is the intersection of the lines:
x = 1y = -3/4 - 17/4 = -20/4 = -5The point is (1, -5) is outside the triangle
A circle has a diameter with endpoints at (12, 6) and (7, –6). What is the circumference of this circle?
Answers
Here it is graphed
Sorry if I did this wrong but I tried
The segments shown below could form a triangle.
A. True
B.false
Answers
Answer:
I don't no
Step-by-step explanation:
ok thanks for the
Answer:
False
Step-by-step explanation:
Its false try using the app triangle calculator
11:59
Question 1
2 pts
In isosceles triangle JKL, JK KL. If the measure of
angle J is 47°, find the measure of angle K.
*Note: Do NOT include the degree in your answer.
Answers
Answer:
86
Step-by-step explanation:
Since ∆JKL is an isosceles triangle, it's base angles (<L and <J) would be equal to each other.
<L is opposite to side JK, <J is opposite to side KL.
m<J is given as 47°. Therefore,
m<L = m<J = 47°
m<L = 47°
m<J + m<L + m<K = 180° (sum of triangle)
47° + 47° + m<K = 180° (substitution)
94° + m<K = 180°
m<K = 180° - 94°
m<K = 86°
Pl S help pls np helps helpss
Answers
Answer:
2 dollars each I think........
Does 1, 2, 5, make a right triangle
Answers
a^2 + b^2 =c^2
1^2 + 2^2 = 1+4 = 5
so no it doesn't make a right triangle
PLZ HELP!!!!!! ASAP! 70 POINTS!
Factor ax^2−ay−bx^2+cy+by−cx^2
Answers
Answer:
(a-b-c)(X^2-Y)
Step-by-step explanation:
DONE!!
4) Darius's parents sent money to the book fair to be split among the four children in his family. After they gave the money to the cashier, she told each child they had $11.50 to spend. Write and solve an equation to show the total amount of money Darius's parents sent to the book fair.
Answers
hi..
let total amount of money Darius's parents sent to the book fair is m then according to the question
m= 4 × $11.50
m= $46
So Darius parents sent $46 to the book fair to be split among 4 children in his family..
hope it helps:)
help please i’ll mark brainliest & give extra points
Answers
Answer:
1400 miStep-by-step explanation:
The triangle CHE is right, angle CHE is marked as right angle.
We have:
CD= CH = 3960 miDE = 240 miEH = ?Use Pythagorean theorem to find the value of EH:
CE² = CH² + EH²CE = CD + DE = 3960 + 240 = 4200Substitute known values and solve for EH
4200² = 3960² + EH²EH² = 4200² - 3960²EH² = 1958400EH = √1958400EH = 1399.42 ≈ 1400 mi (rounded)Please help!!
Find the value of x to the nearest tenth.
Answers
Answer:is it 1
Step-by-step explanation:
Find the missing term in the geometric sequence. 180,___,5
Answers
Answer:
30.
Step-by-step explanation:
first term = a
3r term = ar^2
So here ar^2/ a = r^2
r^2 = 5/180 = 1/36
r = 1/6
So missing term = 180 * 1/6 = 30.
please help
find the value of x in the isosceles triangle shown below.
V80
V80
Answers
Answer:
Option A. x = 8
Step-by-step explanation:
Please see attached photo.
From the attached photo,
we shall determine the value of y. This can be obtained by using pythagoras theory as illustrated below:
(√80)² = 8² + y²
80 = 64 + y²
Collect like terms
80 – 64 = y²
16 = y²
Take the square root of both side
y = √16
y = 4
Finally, we shall determine the value of x. This can be obtained as follow:
From the attached photo,
x = 2y
but:
y = 4
Therefore,
x = 2y
x = 2 × 4
x = 8
Someone ease help need work for evidence also
I'm clueless if u guys know how to do this pls help
Answers
Answer:
It is between A and D, all the problem is about predictions and how this predictions are tricked.
Step-by-step explanation: Just make some draws of the number and colors of the marbles, and add the white marbles to the red ones, there is 6 of them, they take out of the bag two, so there are still being four, a hundred is all a number (?) so divided 100 % in 4/ there is 25, is D just take D. Sorry man im tired.
What percent of the time will the point be in the shaded region
Answers
Answer:
29.4%
Step-by-step explanation:
the whole cirlce is 360 degrees which means 100%
to find the percentage of the shaded area, multiply the degrees by 100
⇒ 10.6 x 100 = 10600
then take the product and divide by 360
⇒ 1060 ÷ 360
⇒ 29.44
round to the nearet tenth of a percent
⇒ 29.4
Help plssssss!!!!!!!!!!
Answers
Answer:
-4
Step-by-step explanation:
Can someone please help me I’m giving brainliest
Answers
Answer:
i know its 17 just had the test
Step-by-step explanation:
An average speed of a moving car is 65 km per hour with a standard deviation of 4. What is the probability that the speed is less than 60?
A. -0.1056
B. -1.25
C. 1.25
D. 0.1056
Answers
Which expression is equivalent to 4/144a12p3 ? Assume a>0 and >0
Help fast
Answers
A jewelry box is shaped like a cube. One side of the box is 6.5 inches long. What is the volume of the jewelry box?
Answer options:
-274 in3
-274.5 in3
-274.375 in3
-274.625 in3
Answers
Answer:
274.625 in^3
Step-by-step explanation:
equation for volume LxWxH
6.5x 6.5x 6.5= 274.625
Please Help!
Just say 1,2,3,4 , or 5 to label them! Ty!
Answers
Answer:
1 and 2
Step-by-step explanation:
The only variable is x
And the only number is -7
Answer:
1. x
possibly 3. since it can be solved into a reg variable
4. 2x
5. -9x
Step-by-step explanation:
x + y + 2x + 2y + 4x + 5z
Answers
Answer:
5x
Step-by-step explanation: x + y + 2x + 2y + 4x + 5z
x + 4x + 2x + y + 2y + 5z
7x + 3y + 5z
y/3 + 2 = 14 I need help
Answers
Answer:
y = 36
Step-by-step explanation:
[tex]\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36[/tex]
Pls help LOTS OF POINTS I am really confused and this is pretty easy so plaplslplsplspsl help
Answers
Answer: #4 is b
Step-by-step explanation:
Need HELP plzzzzzzzzz
Answers
Answer:
answer = 130 degree.
Step-by-step explanation:
I hope is correct.
Answer:
choice 2) angle DOC = 145 degrees
Step-by-step explanation:
angle ABD = 1/2(30 degree arc) = 15 degrees because of the inscribed angle theorem.
angle AOB = 180 - 20 - 15 = 145 degrees
angle DOC = angle AOB because it is a vertical angle to 145 degrees.
A local charity receives 1/3 of funds raised during a craft fair and a bake sale. The craft fair raised $252.60. The total amount given to charity was $137.45. How much did the bake sale raise?
Answers
Answer:
$159.75
Step-by-step explanation:
137.45/252.60 + x = 1/3
252.60 + x = 412.35
x = 412.35 - 252.60
x = 159.75
Answer:
297.2
Step-by-step explanation:
549.8 ÷ 4 = 137.45
549.8 - 252.60 = 297.2
question 9: find the radius of the cylinder with a volume of 45m cubed and a height of 9m round your anwser to the nearest tenth.
Answers
Answer:
1.26 but rounded to the nearest 10 would be 1.3 so 1.3 is your answer
Step-by-step explanation:
pls help me 10 points
Answers
Answer:
1st one is cluster 2nd is outliers 3rd is neither and 4th is outliers.
Step-by-step explanation:
Tina goes shopping and her total is 210 dollars and if she receives a 35 percent discount for spending over 200 dollars then how much does she pay
Answers
9514 1404 393
Answer:
$136.50
Step-by-step explanation:
After her 35% discount, Tina pays 65% of the marked price. The amount she pays is ...
0.65 × $210 = $136.50