Answers
Considering the piece-wise function, the value of the function at x = 2, that is, g(2), is given by:
C. 1.
What is a piece-wise function?It is a function that has different definitions based on the input.
In this problem, the function is defined by:
[tex]g(x) = \left(\frac{1}{2}\right)^{x-3}, x < 2[/tex].[tex]g(x) = x^3 - 9x^2 + 27x - 25, x \geq 2[/tex].Due to the equal sign, x = 2 is part of the second definition, hence:
g(2) = 2³ - 9(2)² + 27(2) - 25 = 1.
Which means that option C is correct.
More can be learned about piece-wise functions at https://brainly.com/question/24734454
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Related Questions
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.
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 m²Find 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
Find the slope pls help
Answers
Answer:
1. Slope = 1
2. Slope = 3
3. Slope = -2
4. Slope = 2
Step-by-step explanation:
Okay so when we are finding the slope of two points we use the slope formula
[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/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:
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]
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
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 !
[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]
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]
the temperature in mayfield at 6pm was 5 degrees fahrenheit. by 11pm the temperature dropped 9 degrees. enter the temp in degrees fahrenheit at 11pm
Answers
Answer: the answer is - 4
Step-by-step explanation:
Ok so it decrased by 9 degrees so what you do is 5 - 9 which would be negative four. -4
Answer:
-4°F
Step-by-step explanation:
Starting temp minus amount dropped gives ending temp.
5 - 9 = -4
Question 13 of 25
True or false? The graph represents a function
Answers
Answer:
B. False
Step-by-step explanation:
This graph is not a function. The graph fails the Vertical Line Test.
I need answer bahahhsbshana
Answers
Answer:
answer is abraham lincoln
Step-by-step explanation:
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]
NO LINKS!!! Please help me with this match
Answers
Step-by-step explanation:
Corresponding angles of similar figures are congruent.
Angles with vertex of same order number are corresponding.
m∠U = m∠C = 97°m∠V = m∠D = 124°m∠T =m∠B = 102°Answer:
m∠U =97°
m∠V = 124°
m∠T = 102°
Step-by-step explanation:
As TUVWX ~ BCDEF then the corresponding interior angles are the same.
Therefore:
m∠T = m∠B = 102°
m∠U = m∠C = 97°
m∠V = m∠D = 124°
m∠W = m∠E = 101°
m∠X = m∠F = 116°
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.
HELP NEEDED QUICK PLEASE
Answers
Answer:
49 degrees
Step-by-step explanation:
its the answer, trust
What is the perimeter of polygon ABCD?
OA. 28 units
OB. 32 units
OC. 36 units
OD. 44 units
Answers
See attached screenshot
:)
-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:
PLEASE ANSWER, HELP MEEE
Answers
Answer:
your answer is 30 ..
hope this will help you!!
To find the surface area of a rectangular prism, we can use the following formula:
[tex]SA=2(lw+lh+wh)[/tex]
l = lengthw = widthh = heightSolving the QuestionWe're given:
l = 4 yardsw = 1 yardh = 3 yardsPlug the given measurements into the formula for surface area:
[tex]SA=2(lw+lh+wh)\\SA=2[(4)(1)+(4)(3)+(1)(3)]\\SA=2(4+12+3)\\SA=2(19)\\SA=38[/tex]
Therefore, the surface area of the rectangular prism is 38 yd².
Answer38 square yards
what number has an opposite of 18 and an absolute value of 18
Answers
Answer:
-18
Step-by-step explanation:
By opposite, I believe this is talking about the sign. Note that taking an absolute value of a number always results in a positive number.
|-18| = 18
Answer:
-18, 18
Step-by-step explanation:
Opposite means negative becomes positive, and positive becomes negative. Absolute value is distance from zero. It is 18 away from zero. Opposite of 18 is -18.
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:
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
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
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
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)
What is the range of this set of numbers?
8,4,5, 0, 6, 2, 6, 10, 6,3
O A. 6
B. 5
O C. 10
O D. 9
Answers
Answer:
B. 5
Step-by-step explanation:
The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator.
example, 2,10,21,23,23,38,38
38 - 2 = 36
Answer:
B. 5
Step-by-step explanation:
All you have to do is subtract the highest number by the smallest number so i just had to do:
8-3=5
HELP PLEASE!! ASAP, Find the surface area of the sphere. Round your answer to the nearest hundredth.
Answers
Answer:
201.06
Step-by-step explanation:
A=4πr2 is the equation (r being radius)
4·π·(4)2≈201.06193
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.
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
