Answers
Answer:
1a: f(x) = x³ -6x² +9x -4
1b: no breaks; the function is defined everywhere
2a: (-∞, 5]
2b: y = -3; y = -1
2c: x → -∞, y → -3; x → ∞, y → -1
Step-by-step explanation:
1A:The factored form of f(x) is ...
f(x) = (x -4)(x -1)²
f(x) = (x -4)(x² -2x +1) = x³ -2x² +x -4x² +8x -4
f(x) = x³ -6x² +9x -4
__
1B:The function h(x) is defined for all values of x to be either f(x) or g(x). The function f(x) is a polynomial function, so has no breaks in its domain. The function g(x) is defined for all values of x, so has no breaks in its domain.
There are no breaks in the domain of h(x).
__
2A:See the attachment for a graph.
-∞ < y ≤ 5 . . . . range of f(x)
__
2B:The asymptote as x → -∞ is the asymptote of the exponential function. The exponential term has an asymptote of y=0, but shifting it down 3 units means the asymptote is 0 -3:
x → -∞, y → -3 . . . . asymptote is y = -3
The asymptote as x → ∞ is the asymptote of the rational expression. That is the ratio of the leading terms: -x²/x² = -1.
x → ∞, y → -1 . . . . asymptote is y = -1
__
2C:See part B.
Related Questions
4. Mother pays Php 199.50 for 2.85 kg of rice. How much does a kilogram of rice cost?
a.35
b.70
c.75
d.105
please answer it correctly.
Answers
Answer:
B. 70
Step-by-step explanation:
If 199.50 PHP gets you 2.85KG of rice.
A kilogram of rice would cost = Total Amount / Total Weight.
199.50/2.85
= 70PHP
help :( explain the meaning of -500 in context to the problem,
a plane flies directly from a city in Pennsylvania to a city in Ecuador. the equation below estimates the distance (d), In miles, from the city in Ecuador of the airplane (t) hours after taking off from the city in Pennsylvania
d=2565-500t
Answers
The equation of the distance of the plane from the city in Ecuador is a
linear equation that has a constant rate of change.
The -500 is the rate at which the distance of the plane from Ecuador changes every hour.Reasons:
The equation that estimates the distance of the plane from the city in
Ecuador is d = 2565 - 500·t
Where;
d = The distance in miles from the city in Ecuador
t = The time in hours after taking off from the city in Pennsylvania
Required:
The meaning of -500 in the context of the problem.
Solution:
By using dimensional analysis, we have;
Given that d is in miles and t is in hours, 2,565 is in miles, and 500 × t is in
miles.
Therefore, -500 is in miles per hour, which is the speed of the plane.
The -500 therefore, in the context, is the number of miles, the rate, by
which the plane becomes closer to the city in Ecuador every hour.
Learn more rate of change here:
https://brainly.com/question/1388646
We can analice through a dimensional evaluation, every term in any equation.
Solution is:
The term - 500 × t
represents, the quantity of miles travel in the time t
Looking carefully each term in the equation:
d = 2565 - 500×t
And knowing:
d, is distance in milest, is time in hoursThe fact that, adding and subtracting are mathematical operations with homologous quantities. By homologous quantities we must understand that we add and subtract apples plus or (minus) apples. We never add pencils plus boxesWe are able to answer the question.
Then in the expression
d = 2565 - 500×t
As d is in miles, we must understand that 2565 is the total distance of the trip, also in miles, should and the product -500×t must also be in miles. According to that, the number 500 is necessarily in miles/hours (the speed of the plane), and the negative sign for 500 means that the total distance 2565 miles should be subtracted from the total time of travel.
For instance if t = 1 hour
d = 2565 miles - 500 (miles)/hour × 1 (hour)
As we can see we are able to determine the total time of fly, as the total distance between the cities is 2565, and 500 is the speed of the plane (constant during the whole trip).
For the whole trip
d = 2565 miles then total fly time is:
2565 (miles)/ 500 (miles/hour)×t
To get . t = 5.13 h
Related link:https://brainly.com/question/8956323
If the sales tax in your town was 7%, and you paid $1,400 in sales tax on your new car, then what was the original
price of the car? And what is the total price including sales tax?
Please be accurate of your answer and explain.
Answers
Answer:
$20,000
Step-by-step explanation:
20,000 / 0.07 = 1400
the sum and product of zeroes are 4 and 1 respectively then the quadratic equation is
A. x² - 4x + 1 =0
B. x + 1=0
C 4x² +x +1 =0
D . x² + 7x+1 =0
Answers
Answer:
A. x²- 4x+ 1
option A is the answer
Question 1 (1 point)
Find the measure of the angle marked 4x
Answers
we need the image to solve the problem
Help help ASAP ASAP
Answers
Answer:
1
Step-by-step explanation:
y2 - y1 / x2 - x1
6 - 4 / 0 - -2
2 / 2 = 1
help me please ill mark as the brainiest if correct.
Answers
Answer:
14 minutes
Step-by-step explanation:
For every two minutes the temperature increases by 15 c. since 8 equals 55, 10 is 70, 12 is 85, and 14 is 100.
Answer:
14
Step-by-step explanation:
What is the product of (x2 + 3x + 9) and ( 2x + 7)?
Answers
Answer:
Ez 1+1=3 Duh
Step-by-step explanation:
You add 1 to 1 it will become 3help me pls
sssssssssssssssssssss
Answers
That’s the right answer
PLSSS help now!!!!!! Will mark Brainlyest !!!
Answers
Hope this helps :)
Answer:
(7, -4)
Step-by-step explanation:
Rotation 180° causes both coordinates to change sign. It is the same as reflection across the origin, or reflection across both the x- and y-axes.
The image point is (7, -4).
The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.
Answers
Using the midpoint formula, the coordinates of endpoint H are (4, -6).
The Midpoint FormulaThe midpoint formula is given as: [tex](x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )[/tex]
Where,
[tex](x_m, y_m)[/tex] = coordinates of the midpoint
[tex](x_1, y_1)[/tex] = coordinates of the first point
[tex](x_2, y_2)[/tex] = coordinates of the second point
Given the following:
[tex](x_m, y_m)[/tex] = M( 6,-4)
[tex](x_1, y_1)[/tex] = G(8,-2)
[tex](x_2, y_2)[/tex] = H(?, ?)
Plug in the values into the midpoint formula
[tex]M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )[/tex]
Solve for the x-coordinate and y-coordinate separately
[tex]6 = \frac{8 + x_2}{2}[/tex]
Multiply both sides[tex]6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}[/tex]
[tex]-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}[/tex]
Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).
Learn more about midpoint formula on:
https://brainly.com/question/13115533
Please help, I will give brainliest Health Insurance Expenses
Business
Type
Definition
Costs
Premium
The annual amount employee pays
the insurance company for the policy.
$6,237
Career
College Rea
Deductible
The amount employee pays for
medical expenses before the
insurance pays for anything.
$1,000
Extra Cred
Business
The percentage employee pays for
Co-Payment medical treatment after the
deductible is paid
30%
Kerr Heavyn_He
hbenefitsss
Use the information in the table. If the employer has agreed to pay 45% of the employees' health insurance premium, what is the total annual
premium?
X
Select one:
O A. The premium is $13,860.
OB. The premium is $11,340,
O C. The premium is $5,103.
Answers
Answer:
It is B
Step-by-step explanation:
72 is what percent of 36
Answers
Please help and I have to do this as soon as possible
Answers
Answer:
60
Step-by-step explanation:
→ Work out the change in distance
160 - 40 = 120
→ Work out the change in time
3 - 1 = 2
→ Apple speed = distance over time
120 ÷ 2 = 60
What’s a rational number between -1/6 and 1/9
Answers
Answer:
LCM of 6 and 9 are 18
1/6 = 1×3/6×3
= 3/18
= 3×10/18×10
= 30/180
1/9 = 1×2/9×2
= 2/18
=2×10/18×10
= 20/180
therefore rational no.s between 1/6 & 1/9 are
21/180,22/180,23/180,24/180,25/180,26/180,27/180,28/180,29/180
Step-by-step explanation:
sorry if im wrong
Answer:
1/18.
Step-by-step explanation:
-1/6 = -3/18 and 1/9 = 2/18
so one rational number between these values is 1/18.
Order these from least to greatest [25 points]
Answers
Answer:
[tex]\frac{\sqrt{6} }{4}[/tex], 1.538..., [tex]\frac{19}{7}[/tex], [tex]\sqrt{29}[/tex]
Step-by-step explanation:
Solve them each on the calculator and then put in order
[tex]\frac{\sqrt{6} }{4}[/tex] = 0.6123...
19/7 = 2.714
[tex]\sqrt{29}[/tex] = 5.385...
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
[tex]y = {x}^{2} [/tex]
[tex]y = 4x[/tex]
; about the y-axis
Answers
well, first off, when it comes to volumes by rotation, we'd want to graph them, Check the picture below. Our rotation over the axis will give us a "washer", so we'll be using the washer method.
now, our axis of rotation is the y-axis or namely x = 0, x = 0 is a vertical line, meaning we have to put the functions in y-terms, that is in f(y) form
[tex]y = x^2\implies \pm\sqrt{y}=x\implies \boxed{\pm\sqrt{y}=f(y)} \\\\\\ y = 4x\implies \cfrac{y}{4}=x\implies \boxed{\cfrac{y}{4}=g(y)}[/tex]
if we look at the picture, the parabola is the farthest from the axis of rotation and the line is the closest, or namely R² and r² respectively.
the way I get the area for R² and r², is by using the same I do with "area under the curve", so if I say call the axis of rotation h(y), the way I get the area is
R => f(y) - h(y)
r => g(y) - h(y)
so let's proceed.
[tex]\textit{area under the curve}\\ \begin{array}{llll} \sqrt{y}- 0\implies &\sqrt{y}\\ \frac{y}{4}-0\implies &\frac{y}{4} \end{array}\qquad \qquad \begin{array}{llll} \stackrel{R^2}{(\sqrt{y})^2}-\stackrel{r^2}{\left( \frac{y}{4} \right)^2}\\[-0.5em] \hrulefill\\ y\qquad -\qquad \frac{y^2}{16} \end{array}[/tex]
now, we want to get the area enclosed by both, and thus we'd need their points of intersection, setting both to [tex]\sqrt{y}=\cfrac{y}{4}[/tex] which in short gives us the bounds of 0 and 16.
[tex]\pi \displaystyle\int_{0}^{16}\left( y - \cfrac{y^2}{16} \right)dy\implies \pi \int_{0}^{16}y\cdot dy-\pi \int_{0}^{16}\cfrac{y^2}{16}\cdot dy\\\\\\\pi \cdot \left. \cfrac{y^2}{2} \right]_{0}^{16}-\pi \cdot \left. \cfrac{y^3}{48} \right]_{0}^{16}\implies 128\pi -\cfrac{256\pi }{3}\implies \boxed{\cfrac{128\pi }{3}}[/tex]
You get a summer job and make a total of $5,500 throughout the summer months. The government takes out taxes from that money at a rate of 33%. How much money did you really make after taxes were taken out?
Answers
Answer:
$1650 is the answer hope it helps
Can someone help me? Will make brainiest :)
Answers
Answer:
D
Step-by-step explanation:
BH is perpendicular to AC since an orthocenter is a point at which the three altitudes of a triangle intersect. The altitude of a triangle is that line that passes through its vertex and is perpendicular to the opposite side. Since you know that BH is an altitude due to Point H being an orthocenter, you know that BH is perpedendicular to AC.
what does it mean to square a value/ expression
Answers
Squaring a number means multiplying the same number by itself.
For example,
[tex]\\2 \cdot 2 =2^2\\\\a\cdot a =a^2~~ \\\\ (a+1)(a+1) =(a+1)^2 \\\\ (x^{10}+1)(x^{10}+1) =(x^{10}+1)^2[/tex]
Need help find the value of x
Answers
There is explanation
Use the graph method to solve the system of linear equations:
2x + y = 3 and x + y = 3
A) (-1.5, 0)
B) (0, -1.5)
C) (0,3)
D) (3,0)
Answers
Answer:
C) (0,3)
Step-by-step explanation:
It would be that answer because I found the answer in a website. Its Math-way
Answer:
C) (0,3)Step-by-step explanation:
Graph each line on the same plane and take the point of their intersection.
Given linear equations:
2x + y = 3 and x + y = 3See the attached to confirm the answer is the point (0, 3)
What is the least common multiple of x^2-16 and
x^2+4x-32?
Answers
The least common multiple is the smallest expression that can be divided by both of the given expressions.
x^2 - 16 = (x - 4)(x + 4)
x^2 + 4x - 32 = (x + 8)(x - 4)
Both of the factored versions of the expressions have an (x - 4) in them. Thus, that will automatically be included in the LCM. Next, we have to include the (x + 4) and the (x + 8) in our LCM.
LCM = (x - 4)(x + 4)(x + 8)
Hope this helps! :)
Answer:
(x - 4)(x + 4)(x + 8)Step-by-step explanation:
Factorize the given expressions:
x² - 16 = x² - 4² = (x - 4)(x + 4)x² + 4x - 32 = x² + 8x - 4x - 32 = x(x + 8) - 4(x + 8) = (x - 4)(x + 8)The LCM is the product of all unique factors of both expressions:
(x - 4)(x + 4)(x + 8)The ratio of the distances a driver and a 2-iron will drive a
golf ball is 5 to 4. If a golfer averages 240 yards with a 2-
iron, how far should she average with a driver?
Answers
The average distance is 300 yards
How to determine the average distance?The ratio is given as:
Driver : 2-iron = 5 : 4
When the iron driver is 240 yards, we have:
Driver : 240 = 5 : 4
Express as fraction
Driver/240 = 5/4
Multiply both sides by 240
Driver= 300
Hence, the average distance is 300 yards
Read more about ratio at:
https://brainly.com/question/2328454
#SPJ1
What do x equal to
Answer quickly pls
Answers
Answer:
= 130°
Step-by-step explanation:
a far away exterior angle is equal to the sum of two far interior angles
50+80 = x
round to the nearest thousandth
7500.98052
12 points **
Answers
-6 = 1/4w -1/2 solve for w
Answers
Where us point c on the number line
Answers
Answer: - 0.3
Step-by-step explanation:
Correct me if I am incorrect.
round 78300 nearest hundred
Answers
Answer:
78300 rounded to the nearest hundred is 78300.00 it would basically be the sam thing as 78300
Step-by-step explanation:
Hope this helps :)
WARNING: I need any worker or student to be aware that there are alt accounts going around and posting gore on answers. Some of them have the picture of the devil and other disturbing types of images and things. Please be aware of your questions if you see these accounts. Ive just encountered one and I am not putting its username so others won't see his posts. Be careful and aware