The functions f(x) = x2 – 1 and g(x) = –x2 + 4 are shown on the graph.
20pts
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y > x2 – 1
y ≤ –x2 + 4
Answers
The equation of the function g(x) is g(x) = -x² + 4 after applying the transformation.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The equation of the function f(x) = x² - 1
The equation of the function g(x) = -x² + 4
Let f(x) is the parent function.
To get the equation of the function g(x):
Applying transformation to function f(x)
f(x) → f(x) + 5 (function will shift up side by 5 units)
F(x) = x² - 1 + 5
F(x) = x² + 4
F(x) → -x² (funtion will reflect about the line y = 4)
g(x) = -x² + 4
Thus, the equation of the function g(x) is g(x) = -x² + 4 after applying the transformation.
Learn more about the function here:
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Related Questions
Evaluate the expression below x=5. 3x+2•|x-8|-12
Answers
Answer:
39
Step-by-step explanation:
3*5=15
15+2=17
|x-8|=3
3*17=51
51-12=39
The chart below shows the average cost that each gender spends on their senior prom at the local high school.
Answers
Answer:
Let me know if anything is unreadable !
What is the perimeter of polygon ABCD?
OA. 28 units
OB. 32 units
OC. 36 units
OD. 44 units
Answers
See attached screenshot
:)
A sporting goods store wants to know what products their customers most want. There were four different suggestions about how to survey the customers.
Which method of sampling customers is least biased?
A Survey every other adult who brings children along to shop.
B Survey only customers who enter the store's shoe section.
C Survey every person who enters the sporting goods store between 10:00 and 11:30 AM.
D Survey every 10th person or group who enters the sporting goods store throughout the entire day.
Answers
Answer:
I believe the answer is C
Step-by-step explanation:
if its wrong, im sorry an I will delete the answer
Mei Mei invested $1700 in an account that pays 3% interest compounded annually.
Assuming no deposits or withdrawals are made, find how much money Mei Mei
would have in the account 16 years after her initial investment. Round to the nearest
tenth (if necessary).
Answers
Answer:
$2728
Step-by-step explanation:
Use compound interest formula:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
P = 1700, r = 0.03, n = 1, t = 16
Plug in numbers:
[tex]A = 1700(1 + \frac{0.03}{1})^{(1)(16)}[/tex]
Simplify:
[tex]A = 1700(1.3)^{16[/tex]
Use calculator:
[tex]A = 2728[/tex]
A circle with a centre 0, has an equation x2 + y2 = 25
The coordinate A (4,3) is on the circumference of the circle.
Find the equation of the tangent at point A.
Answers
The linear equation of the tangent at point A is given by:
[tex]y = \frac{-4x + 25}{3}[/tex]
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, to find the slope, we need to find the derivative at (4,3), using implicit differentiation. Hence:
[tex]2x\frac{dx}{dx} + 2y\frac{dy}{dx} = 0[/tex]
[tex]\frac{dy}{dx} = -\frac{x}{y}[/tex]
[tex]\frac{dy}{dx} = -\frac{4}{3}[/tex]
Then:
[tex]y = -\frac{4}{3}x + b[/tex]
We use point (4,3) to find b, hence:
[tex]y = -\frac{4}{3}x + b[/tex]
[tex]3 = -\frac{16}{3} + b[/tex]
[tex]b = \frac{25}{3}[/tex]
Hence, the equation is:
[tex]y = \frac{-4x + 25}{3}[/tex]
More can be learned about linear equations at https://brainly.com/question/24808124
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[4.8] 1 can find the area of a sector.
Answers
radius= 12 cm
to find:circumference and area of the circle.
solution:circumference:[tex]c = 2\pi \: r[/tex]
[tex]c = 2 \times \pi \times 12[/tex]
[tex]c = 75.39822 \: cm[/tex]
[tex]c = 75.4 \: cm[/tex]
area:[tex]a = \pi {r}^{2} [/tex]
[tex]a = \pi \times {12}^{2} [/tex]
[tex]a = 452.38934 \: {cm}^{2} [/tex]
[tex]a = 452.39 \: {cm}^{2} [/tex]
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 154,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 5% each year. How many total fish did the company catch over the first 10 years, to the nearest whole number?
Answers
Answer:
1,116,500 Fish
Step-by-step explanation:
Pls give BRAINLIEST
HELP NEEDED QUICK PLEASE
Answers
Answer:
49 degrees
Step-by-step explanation:
its the answer, trust
North Dakota has recently had the fastest growing population out of all 50 states. On Jan 1, 2013, the
population of North Dakota was 700,000 people. North Dakota's population has been growing by 5%
per year. Express North Dakota's population, N, in terms of years since 2013, t
Answers
Answer:
see below
Step-by-step explanation:
5% = .05
N = 700 000 (1+.05)^t
What is the coefficient of x in 2x+3?
Please answer?
Answers
Answer:
coefficient of x is 2
Step-by-step explanation:
genshin impact is the bestt
Answer:
2
Step-by-step explanation:
2x together is the variable term the x is the variable number and the number beside it is the coefficient and the other number is the constant
There is a “family” of Z distributions?
Answers
Reason:
There is only one Z distribution, which is also known as the standard normal distribution. This distribution has a mean of mu = 0 and a standard deviation of sigma = 1. So unless you consider a family to only have one member, then I'd consider the statement your teacher gave you to be false.
On the other hand, if we were talking about the student T distribution, then this is a family of function curves. The reason being is that the degrees of freedom (df) will change the shape of said curve. The value of df will depend on the sample size n. Recall that df = n-1. As n gets larger, then the T distribution curves will slowly start to look like the Z distribution. For n > 30, the difference is so very minor that it's easier to swap over to the Z distribution even if you don't know sigma.
In other words, there is a family of T distribution curves in which slowly approach to mimicking the Z distribution curve when n is large (usually n > 30).
What is the end behavior of the graph?
Answers
Answer:
As [tex]x[/tex] approaches infinity [tex]f(x)[/tex] approaches negative infinity.
Step-by-step explanation:
As you can see in the graph as [tex]x[/tex] grows larger in the negative direction, the [tex]y[/tex] increases in the negative direction too.
Thus:
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
Which of the following statements about the expected value of a random experiment is true? A. The expected value is the value you will get after one trial. B. The expected value is the average of the values after 100 trials. C. As the number of trials gets larger, the average of the trials approaches the expected value. D. The expected value never actually equals the average of the trials. Please select the best answer from the choices provided A B C D
Answers
Answer: C. As the number of trials gets larger, the average of the trials approaches the expected value
Step-by-step explanation:
The expected value is the weighted average of the results of an experiment. As more trials go on, the actual average is more likely to get closer to the expected value. The expected value can be explained as the theoretical result after infinity trials, so as the number of trials approaches infinity, the result will approach the expected value.
I need answer bahahhsbshana
Answers
Answer:
answer is abraham lincoln
Step-by-step explanation:
Determine if (6, 2) is a solution to the system of equations.
2x + y = 10
3x + 2y = 10
Answers
Answer:
no
Step-by-step explanation:
plug 6 in for x and 2 in for y, as (x, y) = (6, 2)
first equation:
y = 1 * y
2(6) + 1(2) = 10
12 + 2 = 10
14 = 10
this is false
second equation:
3(6) + 2(2) = 10
18 + 4 = 10
22 = 10
this is false
for this to be a solution, it must fit into both equations. as this fits into neither, this is not a solution
ASA and AAS Congruence
State if two triangles are congruent. If they are, state how you know.
Answers
Answer:
NO
Step-by-step explanation:
They are not bc they are rotated and theyfore not the same exatly. The are similar NOT congruent.
can anyone help find the area pls ty
Answers
Answer:
See below ~
Step-by-step explanation:
Question #8
Area = 10 x 11.7Area = 117 m²Question #10
Area = 11 x 11Area = 121 m²アhi can you please help me
Answers
Answer:
C) 1.
Step-by-step explanation:
Calculator
-2x - 3y = -7
y = 6x - 11
O (4,3)
• (2,1)
O (1,2)
O (2,3
Answers
Answer:
[tex]B.(2,1)[/tex]
Step-by-step explanation:
Mitchell received a stipend at the beginning of the semester to buy textbooks. During the semester, he spent $430.84 on textbooks. He had $136.04 of the stipend left at the end of the semester.
x - $430.84 = $136.04
How much was Mitchell's stipend?
A.
$566.88
B.
$702.92
C.
$362.82
D.
$294.80
Answers
Answer:
$566.88
Step-by-step explanation:
$430.84 + $136.04 = $566.88
Answer:
294.80
Step-by-step explanation:
D
Please help fast! 100 POINTS
Answers
Answer:
65
Step-by-step explanation:
Answer: the answer is 41
Step-by-step explanation: 4+2+3+3+6+2+5+3+6+7=41
help me pleaseeeeeeeeeeeeeeeeeeee
Answers
Since the figure is a triangle, we must use the triangle area formula to solve the problem, which is [tex]A = \frac{1}{2} b h[/tex]. By using this formula, we can plug in the numbers shown. Then, we can multiply.
[tex]A = \frac{1}{2} * 5 *22[/tex]
[tex]A = \frac{1}{2} * 110[/tex]
[tex]A = 55^2[/tex]
The area of the triangle is 55 yards squared.
The gravitational force ona abody falling towards the earthb is directly proportional to the mass of the body the gravitiaional force on the body js 2 kg is 19.6 newtons
A. Write a direct variation equation relating the mass x and the gravitational force y on the falling body
B. Using your equation from 4.a find the gravitaional force of an object with the mass of 5kg
Don't RIP OFF OR I WILL REPORT
Answers
Answer:
A. y = 9.8xB. 49 NewtonsStep-by-step explanation:
Direct proportional relationship formula
y = kx, where y- dependent variable, x- independent variable, k- coefficient of proportionalityGiven values
x = 2 kgy = 19.6 NFind the value of k using the formula
19.6 = 2kk = 19.6/2k = 9.8Part AThe equation for this case is
y = 9.8xPart BFind the value of y when x = 5
y = 9.8*5 = 49 NAnswer:
A. y = 9.8x
B. 49 newtons
Step-by-step explanation:
Part A
Definition of the given variables:
x = mass in kgy = gravitational force in newtonsIf the gravitational force is directly proportional to the mass, then:
[tex]y \propto x \implies y=kx \quad \textsf{(for some constant k)}[/tex]
Given:
x = 2 kgy = 19.6 newtonsSubstitute the given values into the equation and solve for k:
[tex]\implies 19.6=2k[/tex]
[tex]\implies k = 9.8[/tex]
Therefore, the direct variation equation is: [tex]y=9.8x[/tex]
Part B
To find the gravitational force of an object with mass of 5 kg, substitute x = 5 into the found equation from part A and solve for y:
[tex]\implies y=9.8(5)[/tex]
[tex]\implies y=49\:\: \sf newtons[/tex]
Simplify the expression given below.x+2/x^3+2x^2-9x-18/3x+1/x^2-9
Answers
Answer:
2x^5 - 14x^4 - 9x^3 + X + 2
--------------------------------------
x^3
Step-by-step explanation:
Find the indicated sum or difference 9-12:
9. 5+7
10. 7+(-9)
11. -5+20
12. -(-11)-7
Answers
Answer:
7,-2,15,4
Step-by-step explanation:
9. 7
10. -2
11. 15
12. 4
The students in Class A and Class B were asked how many pets they each have. The dot plots below show the results.
Students in Class A
A dot plot titled Students in Class A. A number line going from 0 to 5 labeled Number of pets. There are 5 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.
Students in Class B
A dot plot titled Students in Class B. A number line going from 0 to 5 labeled Number of pets. There is 1 dot above 0, 2 above 1, 2 above 2, 4 above 3, 3 above 4, 3 above 5.
What is the difference between the ranges in the dot plots?
0
2
3
4
Answers
Answer:
The answer is 2
Step-by-step explanation:
the answer is 2
Find the distance between the points (6, -4) and (-7, -4)
Answers
Answer:
8
Step-by-step explanation:
Subtract 6 to 7 then add that to the 7.
Diane Van Os decided to buy a new car since her credit union was offering such low interest rates. She borrowed 30,000 at 4.75% on December 12 2016 and paid it off March 04 2018. How much did she pay in interest? (Assume exact interest)
Answers
Answer:
Total Interest Diane has to pay is $1,745
Step-by-step explanation:
Behind the Excel sheet
Total Number of Days:
It was the sum 2016 + 2017 + 3 months of 2018
19 + 365 + 31 + 28 + 4
Exact Intrest on Loan
the Borrowed Amount is multiplied by Exact Intrest Rate multiplied by Total Number of Days divided by Number of Days in a Year
$30,000 x 0.0475 x (447/365)
Use the coordinate plane to write the ordered pair corresponding to point M. Six points are plotted on a coordinate plane. The horizontal axis is labeled x and it ranges from 0 to 8. The vertical axis is labeled y and it ranges from 0 to 8. Point T is plotted 5 units up from the origin. Point R is plotted 2 units to the right of the origin. Point Q is plotted 2 units to the right of the origin and 7 units up. Point P is plotted 6 units to the right of the origin and 1 unit up. Point N is plotted 7 units to the right of the origin and 6 units up. Point M is plotted 8 units to the right of the origin and 8 units up.
Answers
Answer:
where's the images and what are the coordinates?
Step-by-step explanation:
