Determine whether each function is even, odd, or neither.
f(x) = x²_9
g(x) = |x-3
f(x) = 22-1
g(x) = x + x2
Answers
Rule for even
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]
Rule for odd
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]
Here D_f means domain of function.#1
[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]
Take x=4[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]
[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]
Even function✓#2
[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]
Take x=2[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]
[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]
[tex]\\ \sf\longmapsto -g(2)=-1[/tex]
Odd function✓#3
[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]
Take x=3[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]
[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]
[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]
Odd function ✓#4
[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]
Take x=1[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]
[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]
[tex]\\ \sf\longmapsto -g(1)=-2[/tex]
Neither✓Related Questions
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Unit 6 Portfolio
Task 1:
Taxi Cab Company A: $8 per ride and $0.35 per mile
• Write an equation in slope intercept form to represent the cost of a
taxi ride using company A.
Hint: use y=mx+b
Y =
• What does the y-intercept mean in the context of this problem?
Hint: What do you pay to step into the cab?
Answers
The y intercept means that $8 must be paid to step into the cab.
A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the total pay for x miles
Since $8 per ride and $0.35 per mile, hence the equation is:
y = 0.35x + 8
The y intercept means that $8 must be paid to step into the cab.
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eight pounds of potatoes is 16 dollars. how much for 5 punds
Answers
Answer: that equals to 1.6
Step-by-step explanation:
What is the slope of the line that passes through the points (3, 7), (9, 19) and (5, 11)?
Answers
Answer:
the slope is 2
Step-by-step explanation:
use the slope formula which is y2-y1/x2-x1
Evaluate.
(2a - 3) ÷ (b / 4) when a = 12 and b = - 20
Answers
Answer:
-4.2
Step-by-step explanation:
First me put a and b in
2x12
24
(24 - 3) = 21
b: -20
-20 divided by 4 = -5
21 divided by -5
Answer= -4.2
solve 3+x>-9 A) x >3 B) x > -6 C) x>-3 x > D) x> -3
Answers
Answer: the answer should be x>-12
Step-by-step explanation:
3+x>-9
x>-9-3
X>-12
please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)
(cAt)
Answers
Answer:
answer is 2
Step-by-step explanation:
funny pic
hey can someone help with my assignment worth 80% of my grades
Answers
Answer:
Honestly the intercept should be on the axis
Step-by-step explanation:
Answer:
You didn't helped me with my question so no
Step-by-step explanation:
Evaluate the expression for x=2 and y=4
16x0 + 2x2 • y-1
Answers
Answer:
31
Step-by-step explanation
16x0+2x2•y-1
ok now
16•2+2•2•2•4-1
wich is: 31
List numbers that are between -103 ad -130
Answers
Answer:
104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123,124,125, 126, 127, 128, 129
Hello! :)
Numbers between -103 and -130:
-104-105-106-107-108-109-110-111-112-113-114-115-116-117-118-119-120-121-122-123-124-125-126-127-128-129These are the numbers between -103 and -130. Hope it helps. Please ask if you have any query.
~An excited gal
#CarryOnLearning
[tex]MagicalNature[/tex]
Jason gets 15 gallons of gas at $3.90 a gallon. 15 gallons gives him 20 miles to the gallon. How many miles can Jason travel on 1 tank of gas?
Answers
Andrew measured a line to be 11 inches long. If the actual length of the line is 11.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer:
3.5
Step-by-step explanation:
Error=11.4-11=0.4
Percentage error = (0.4/11.4) × 100 = 3.5 to the nearest tenth
The percent error in estimate is 3.5%
What is error?In practical mathematics, error is the distinction between a true value and an approximation, or approximate, representation of that value. A common example in statistics is the difference between the mean of the entire population and the mean of a sample picked from that population. An example of a round-off error in numerical analysis is the difference between an irrational number's actual value and the value of rational expressions.
Given
measured value = 11 inches
actual value = 11.4 inches
percent error = ((actual value - Estimate value)/actual value)100
percent error = ((11.4 - 11)/11.4)100
percent error = 0.03508 x 100
percent error = 3.508% = 3.5%
Hence the percent error is 3.5%.
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what is the value of a in a/5 + 3= 8
Answers
Answer:
Step-by-step explanation:
what is the value of a in a/5 + 3= 8
a/5 + 3= 8
a/5 = 8 - 3
a/5 = 5
a = 5 * 5
a = 25
Answer: a= 25
Step-by-step explanation:
first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3
a/5=5
after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:
a=5x5
a=25
now let's make a verification:
25/5+3=8
5+3=8
a=25
hope I helped you :)
Solve for the unknown side of each right triangle
Answers
x is 9.1 accordingly to the phytagores therom
What is the distance between the points (-3, 5) and (-3, -6) on the coordinate plane?
Answers
Explanation (x-x) + (y-y)
How to convert minutes and seconds into grades.
Answers
Answer:
Step-by-step explanation:
To convert time to time, kernel time with 24 (number of time in a day).
To convert time to minutes, kernel with time with 1440 (number of minutes in a day = 24 * 60).
To convert s to seconds, multiply the time by 86400 (number of s in a day = 24 * 60 * 60).
You need to collect at least 32 shells to create a necklace. Your friend gave you 14 and you already had 6. How many more shells do you need to make a necklace? *
Answers
3.03Quiz:circles
The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)
What is the equation of the circle in standard form?
Answers
Answer:
yung nasa pic sagut sa⇩
The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)
What is the equation of the circle in standard form?⇩
-Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.
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Find the slope of each line.
Answers
Answer:
Step-by-step explanation:
There are 4 conditions that have to be met before you can declare what the slope is.
1. y has to be on one side of the equation.
2. y must have a coefficient of +1
3. the other side contains the x value. It can have any number as the slope which is in front of x.
4. The value of the number by itself which is not connected to x or y can also be any value including the irrational numbers.
Examples
y = 5x + 4
slope = 5
y intercept = 4
y = πx + sqrt(5)
slope = pi
y intercept = sqrt(5)
Answer to your question
slope = 7/5
y intercept = 5
3 2/7 divided by 1 1/4
Answers
Answer:
92/35
Step-by-step explanation:
⇒ 3 2/7 ÷ 1 1/4
⇒ (3*7 + 2) / 7 ÷ (1*4 + 1) / 4
⇒ 23/7 ÷ 5/4
⇒ 23 * 4 / 7 * 5
⇒ 92/35
The solution of the expression is 2 22/35.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Given that;
The expression is,
3 2/7 divided by 1 1/4
Now, Solve the expression as;
3 2/7 ÷ 1 1/4
23/7 ÷ 5/4
23/7 x 4/5
92/35
2 22/35
Hence, The solution of the expression is 2 22/35.
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I got this problem solved so I no longer need help
Answers
Answer:
then whats the point
Step-by-step explanation:
A map was made with a scale in which 3 inches represents 450 miles. The actual distance between two cities is 1,350 miles. What is the distance between the same two cities on the map?6 inches
Answers
Answer:
Step-by-step explanation:
(450 miles/3 inches) = 150 miles/inch
(1,250 miles)/(150 miles/inch) = 8.3333 inches
When the actual distance between two cities is 1350 miles the distance between the same cities on the map is 9 inches.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
On scale 3 inches represents the actual distance = 450 miles.
To find the distance on scale when actual distance = 1350
Since, 3 inches = 450 miles
1 inch = 450 / 3 = 150 miles
150 miles = 1 inches
1 mile = / 1/ 150 inches
1350 miles = 1350 / 150 inches = 9 inches
The required distance on scale is 9 inches.
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Write your answer as a decimal. If the decimal has more than 2 decimal places, round to 2 decimal places.
Answers
Multiply as indicated. Write the product in standard form. An explanation is needed.
(2+i)^2
Answers
Answer:
2^2 + i^2 or 4 + i^2 (depending if the teacher wants it simplified or not)
Step-by-step explanation:
(2+i)^2
Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.
PLEASE FIND THE MEASURE OF X
Answers
Answer: 3.42
Step-by-step explanation: use trig equations. Sin 20 = x/10. Multiply both sides by 10. Sin (20) times 10 is 3.42
Answer:
x = 3.42
Step-by-step explanation:
For the 20° angle, x is the opposite leg.
10 is the hypotenuse.
sin A = opp/hyp
sin 20° = x/10
x = 10 × sin 20°
x = 3.42
(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.
Answers
Answer:
lllllllllllllll
Step-by-step explanation:
its is 15 large tables
Which ordered pair is a solution of the equation?
7x-2y=-57x−2y=−5
Answers
Answer:
what ordered pairs?
Step-by-step explanation:
simplify if y<0.
[tex]-\sqrt{9y^{2} }[/tex]
Answers
Answer:
-3y
Step-by-step explanation:
Whether y is smaller than 0 or not, the square root of y^2 is y, a positive quantity.
Thus, -√(9y²) = -3y
Answer
It's actually 3y instead of -3y.
BTW, anybody from RSM
What will be the length of cloth used to make each bag, if 16 bags of equal sizes can be prepared from 50 m cloth?
A) 3 1/4 m
B) 8 1/6 m
C) 8 1/3 m
D) 3 1/8 m
Answers
Answer:
3 1/8
Step-by-step explanation:
16 bags = 50 m
1 bag = 50/16
1 bag = 25/8
1 bag = 3 1/8 ( due to mixed fraction )
so the cloth needed to make one bag is 3 1/8 m
A car was traveling at 25 m/s when it slammed on the brakes and came to a complete stop in 3 seconds. What is the cars INITIAL/FINAL VELOCITY?
Answers
Answer:
Initial velocity = 25 m/s
Final velocity = 0 m/s
Step-by-step explanation:
Initial velocity is the speed in the beginning and final velocity is the speed in the end.
The problem says the car was traveling at 25 m/s, so that is the initial velocity. The end of the problem states the car came to a complete stop after 3 seconds. Therefore, the final velocity is 0 m/s.
PLA HELP PLS PLS PLA
Answers
Answer:
y=3x-1
Step-by-step explanation:
I solved it by using graph paper so if you start out at (2,4), and go down 3 and left 1 you would end up at (-1,3)