The classification and the output rule for each function in this problem is given as follows:
1. Output rule: y = 5x + 11. Classification: Linear.
2. Output rule: y = 2^x. Classification: Exponential.
3. Output rule: y = 3 if |x| is even, y = 1 if |x| is odd. Classification: Neither.
What defines a linear function?A linear function is defined when the increase of 1 in x result in the addition of a constant to y, hence the rule is:
y = mx + b.
In which:
m is the addition to y when x increases by one.b is the value of y when x = 0.Hence, for the first table, as 5 is added to x when x increases by one, the rule is:
y = f(x) = 5x + 16.
What defines an exponential function?An exponential function is defined when the increase of 1 in x result in the multiplication of a constant to y, hence the rule is:
y = a(b)^x.
In which:
b is the addition to y when x increases by one.a is the value of y when x = 0.Hence, for the second table, the rule is:
y = 2^x.
For the third table, none of the definitions for linear and for exponential functions are true, hence the function is neither, as it is a piece-wise function that assumes one value for odd numbers and another for even numbers.
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2. What is the volume of the new locker? Show your work, and include units with your
answer
Write your answer in the space below.
Answer:
55R^3
Step-by-step explanation:
V= L X H X D
V= 4 X 5.5 X 2.5
V=55
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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HELP ASAP PLEASE WILL GIVE GOOD STAR AND BRANLIST Which equation represents the graph?
Y=-2/5x+8
Y=-5/2x+8
Y=-5/2x- 3
Y=2/5x- 3
How do I get 1 on 1 turtoring
Answer:
you can go online and start by searching your question, and then your problem will be fixed!
Step-by-step explanation:
I REALLY NEED HELP PLS.....
Answer:
The last two.
\( - 5x + 3 \: and \: - 2x + 3 - 3x\)
Step-by-step explanation:
Simplify the first set of parentheses to get
\( - 5 \frac{1}{3} x\)
Simplify the second set of parentheses by distributing the negative. It will change the signs in the parentheses.
\( \frac{1}{3} x + 3\)
Add (really subtract since the signs are different) the like terms.
\( - 5x + 3\)
which triangle has three angles with the same measure?
Answer:
equilateral triangle
Step-by-step explanation:
PLS HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Ethan decides to type up some documents while waiting the meeting to start.He can type 2 pages every 1/8 hour.If the meeting started 3/4 hour later than the scheduled time,how many pages can he type before the meeting starts?
Answer: 4 pages
Step-by-step explanation:
To solve this problem, we need to use the formula:
Rate = Output/Time
Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.
Rate = 2 pages/(1/8 hour) = 16 pages/hour
Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.
Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages
Therefore, Ethan can type 4 pages before the meeting starts.
Answer: 4 pages
In western music, an octave is divided into 12 pitches. For the film Close Encounters of the Third Kind, director Steven Spielberg asked composer John Williams to write a five-note theme, which aliens would use to communicate with people on Earth. Disregarding rhythm and octave changes, how many five-note themes are possible if no note is repeated?
Answer:
This should be a permutation
Step-by-step explanation:
P (n, r) = n!/(n-r)!
P (12,5) = 12!/(12-5)!
P (12,5) = 12!/7!
P(12,5) = 95040
If A(0, 4), B(5, y), and AB = 13. What is y?
The required value of y for the given segment AB is given as y = 16, -8.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
A(0, 4), B(5, y), and AB = 13.
Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]
Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12
y = 16, -8
Thus, the required value of y for the given segment AB is given as y = 16, -8.
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which expression is equivalent to the area of square A, in square centimeters? 1/2(24)(45) 24(45)
Expressiοn which is equivalent tο the area οf square A, in square centimeters is squared 24 squared + 45 squared
What is a Square centimetres?A square centimetre (cm²) is a unit οf measurement οf area. 1 square centimeter is equal tο the area οf a square with sides that measure 1 centimeter.
A square area is a measurement made up οf twο lengths. Square units οf area, such as square centimeters, are a result οf multiplying twο lengths. In the case οf square centimeters, each length is measured in centimeters, sο multiplying centimeters × centimeters results in cm². The measured area dοes nοt need tο be in the shape οf a square; any area can be calculated, οr estimated, as the area made up by sοme number οf unit squares.
Fοr example, a 4 cm × 2 cm rectangle is made up οf 8 squares with an area οf 1 cm² each. The rectangle therefοre has an area οf 8 cm²:
Given the fοllοwing :
Small square = 24cm
Medium square = 45cm
Large square =?
Frοm the diagram attached;
Since the three squares fοrms a right-angle triangle, with the leg οf the large square fοrming the hypοtenus.
Thus, the expressiοn tο calculate the area can thus be :
Hypοtenus² = οppοsite² + adjacent²
A² = 24² + 45²
Recall that the area οf a square is the square οf any οf it's side, since the sides οf a square are are equal, that is A²
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Cοmplete Questiοn:
Which expressiοn is equivalent tο the area οf square A, in square centimeters? 3 squares are pοsitiοned tο fοrm a triangle. The small square is labeled 24 centimeters, medium square is 45 centimeters, and large square is nοt labeled. One-half (24) (45) 24 (45) (24 + 45) squared 24 squared + 45 squared
Xavier is buying fencing to surround his garden if his garden has a perimeter of 30 yards and fencing cost six dollars a yard how much money will he need for the fencing
Answer:
$180
Step-by-step explanation:
If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180
A-6=13 answer........
Answer:
A = 19
Step-by-step explanation:
A - 6 = 13
19 - 6 = 13
A = 19
I hope this helps!
Answer:
19
Step-by-step explanation:
13 + 6 = 19
19 - 6 = 13
8) Which of the following equations is parallel to the equation, y = -3x - 1?
O
y = 3x - 5
O y=-1/3 x-5
O y = 1/3 x-5
O y=-3x - 5
Answer:
O y = -3x - 5
Step-by-step explanation:
It is parallel to the equation as the slope is the same (-3) and they both have different y-intercepts.
BRAINLIEST.
MARK IT ALREADY.
Answer:
y = -3x - 5
Step-by-step explanation:
If a line is parallel to another, then they will have the same gradient.
The gradient of y = -3x - 1 is -3
So the answer is: y = -3x - 5
dog's food bowl holds 3 cups of dog food. Tim uses a scoop that holds 1/4 of a cup of dog food. how many scoops will it take for Timothy to fill the dog bowl?
Answer:
12 scoops
Step-by-step explanation:
4 scoops = 1 cup
8 scoops = 2 cups
12 scoops = 3 cups
Use the graph to determine the domain and range of the function.
Q
(-8,5)
20-
16-
-20-16-12-8-4
(-12,-11)
8-
st
-8-
-12-
-16-
-20
(1-1)
(-2,-4)
X
4 8 12 16 20
Q
5
hs
HEE
The domain is
(Type your answer in inte
The domain is {-8, -12, 1, -2} and the range is {5, -11, -1, -4}
How to determine the domain and the rangeFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have
(-8,5) (-12,-11) (1-1) (-2,-4)
The domian is the set of the input values
Using the ordered pairs as a guide, we have
Domain = {-8, -12, 1, -2}
For the range, we have
The range is the set of the output values
So, we have
Range = {5, -11, -1, -4}
Hence, the range is {5, -11, -1, -4}
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A hose fills a hot tub at a rate of 2.82
gallons per minute. How many hours will it take to fill a 303
-gallon
hot tub?
Answer:
Step-by-step explanation:
60 minutes per hour
2.82gal *60mins = 169.2gal per hour.
303 gallons / 169.2 gph = about 1.7907 hours
Please help me answer this!!!!
\(7 \frac{1}{2} \)
Explanation:First, convert any mixed numbers to fractions. An easy way to convert:
\(4 \frac{1}{2} = 4 \times 2 + 1\)
=\( \frac{9}{2} \div \frac{3}{5} \)
Then, apply the fractions formula for division.
\( \frac{9 \times5 }{2 \times 3} = \frac{45}{6} \)
Then, simplify.
\( \frac{45}{6} = 7 \frac{1}{2} \)
Simplify the expression:
3x+b+p^2
Answer:
\(3x+b+p^2\) is already simplified
Step-by-step explanation:
\(3x+b+p^2\) is already simplified
Answer:
The equation is already simplified
Step-by-step explanation:
Nothing fuurther can be done to this equation
I’ll give brainliest
Answer:
A
Step-by-step explanation:
From f(x) to k(x), the graphed parabola is stretched and wider.
Answer: Choice B) Vertically compressed by a factor of 8.
Explanation:
Consider a point like (8,64) which is on f(x).
If we plug in x = 8 into k(x), then we would get k(8) = 8. The old output y = 64 is now y = 8. This is an example of a vertical compression of 8. It's 8 times smaller in the vertical direction compared to what it used to be. This is because the k(x) outputs are 1/8 those of the f(x) outputs.
Effectively we have k(x) = (1/8)*f(x).
Another example would be x = 16 leading to y = 256 on f(x). For k(x), we have x = 16 lead to y = 32
Refer to the graph below.
please help my homework is hard and i missed a lot of school
The integers that represent each situation are 35, -40, -12, -288, 14, 75, 0, and -95.
We have,
An integer is a whole number that can be positive, negative, or zero but does not include any fractions or decimals.
Examples of integers include -3, 0, 7, and 100.
Now,
You earn $35 for cleaning the neighbour's yards = $35
A scuba diver is 40 feet below sea level = -40 feet
Weight loss of 12 pounds = -12
The temperature on Saturday was 288 degrees below zero degrees.
= -288 degrees
Your team gains 14 points in a game.
= 14
Deposit of $75
= $75
Sea level.
= 0
Withdrawal of $95.
= - $95.
Thus,
The integers that represent each situation are 35, -40, -12, -288, 14, 75, 0, and -95.
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Adam tabulated the values for the average speed on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph. If Adam wanted to construct a one-sample t-statistic, what would the value for the degrees of freedom be?
Answer:
7
Step-by-step explanation:
Given the following data:
Average speed : 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4
To construct a one-sample t - statistic, the value of the degree of freedom will be ;
In a one sample test of known mean, if the number of observations are 4, one can choose to vary at most three of the observations and still obtain the mean, that is the 4th observation must remain fixed.
Degree of freedom = Number of observations (n) - 1. This is the maximum number of independent variables which can be varied.
Nunber of observations or sample size in the data above is 8
Hence,
Degree of freedom = (8 - 1) = 7
Answer:the anwser is 7
Step-by-step explanation:
A camera has a listed price of $844.99 before tax. If the sales tax rate is 6.75%, find the total cost of the camera with sales tax included Round your answer to the nearest cent, as necessary.
Answer:
$597.78
Step-by-step explanation:
$559.98 * 6.75% = 37.798 = 37.80
$559.98 + 37.80 =$597.78
Polygon A is similar to Polygon B.
Find the perimeter of Polygon B.
24
A
PA = 128
15
B
PB = [?]
Answer:
\(P_{B}\) = 80
Step-by-step explanation:
given 2 similar figures with ratio of sides = a : b
then ratio of perimeters is also a : b
here ratio of sides = 24 : 15 = 8 : 5
the ratio of perimeters is also 8 : 5
then by proportion
\(\frac{ratioA}{P_{A} }\) = \(\frac{ratioB}{P_{B} }\) , that is
\(\frac{8}{128}\) = \(\frac{5}{P_{B} }\) ( cross- multiply )
8 \(P_{B}\) = 5 × 128 = 640 ( divide both sides by 8 )
\(P_{B}\) = 80
what does 414 need to be divided by to get -23
Answer:
-18
Step-by-step explanation:
Cube root of 216
With full steps
Answer:
6
Step-by-step explanation:
Step 1: Find the prime factors of 216 216 = 2 × 2 × 2 × 3 × 3 × 3 Step 2: Clearly, 216 is a perfect cube. Therefore, group the factors of 216 in a pair of three and write in the form of... Step 3: Now, we will apply cube root on both the sides to take out the factor as a single term, which is in cubes.what is the measure of arc XY in the diagram below ?
The measure of the intercepted arc, \(\widehat{XY}\), formed by the secants ZW and ZV is 30°
What is a secant of a circle?A secant line is a straight-line which has two points of intersection with a circle.
From a similar question on the internet, the figure consists of an outside angle of 41° formed by two secants and two intercepted consisting of \(\widehat{XY}\)and \(\widehat{VW}\) which measures 112°
The outside angles of a circle theorem states that the outside angle formed by two secants or two tangent or a combination of a secant and a tangent is the difference of the measure of the difference of the angles of the intercepted arcs divided by two.
Mathematically;
\(m\angle z = \dfrac{\widehat{VW} - \widehat{XY}}{2}\)
Where;
The outside angle formed by the secant ZW and ZV, m∠z = 41°
\(\widehat{VW}\) = 112°
Which gives;
\(41^{\circ}= \dfrac{112^{\circ}- \widehat{XY}}{2}\)
2 × 41° = 112° - \(\widehat{XY}\)
82° = 112° - \(\widehat{XY}\)
\(\widehat{XY}\) = 112° - 82° = 30°
\(\widehat{XY}\) = 30°
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Solve for x: 4x − 2 > 6x + 8.
\(\\ \rm\longmapsto 4x-2>6x+8\)
\(\\ \rm\longmapsto 4x-6x>8+2\)
\(\\ \rm\longmapsto -2x>10\)
\(\\ \rm\longmapsto -x>5\)
\(\\ \rm\longmapsto x<-5\)
Solve the equation 6-7x=43
Answer:
Solution
=
−
3
7
7
Step-by-step explanation:
I got that answer right on ed2020
What does 10 squared mean?
10 - 10
10 + 10
10*10
A number squared is multiplication.
You multiply the number squared by itself.
10 squared would be 10 * 10