Answer: vertical translation
Step-by-step explanation:
A function is even if:
f(x) = f(-x)
and a function is odd if:
f(-x) = -f(x).
Now, we want to find a translation that only affects the symmetry of an odd function (but not that one of the even function).
The correct answer will be a vertical translation, now let's prove it.
when we have a function f(x) and we want to transform it into g(x), such that g(x) is a vertical translation of (for example) A units up, we can write the relation as:
g(x) = f(x) + A.
Now, let's see if this preserves the symmetry of the original function.
1) if f(x) is even, then:
g(x) = f(x) + A
g(-x) = f(-x) + A
But we know that f(-x) = f(x)
then:
g(-x) = f(-x) + A = f(x) + A = g(x)
this means that g(x) is even, the symmetry of an even function is not affected by this transformation.
Now suppose that f(x) is odd.
Then:
g(x) = f(x) + A
g(-x) = f(-x) + A
and f(-x) = -f(x)
then:
g(-x) = f(-x) + A = -f(x) + A
and this is clearly different than g(x) = f(x) + A.
Then the odd symmetry is broken.
Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options. If p = a number is negative and q = the additive inverse is positive, the original statement is p → q. If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q. If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q. If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.
Answer:
The three options are;
1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q
Step-by-step explanation:
Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p
Mathematically, we have;
The given conditional statement;
If a number is negative, the additive inverse is positive which can be expressed as follows;
The conditional statement is p → q
The converse statement is q → p
The inverse statement is ~p → ~q
The contrapositive statement is ~q → ~p
Therefore, we have;
1) The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is therefore p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is therefore, ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is therefore, q → p, the contrapositive of the original conditional statement is therefore ~p → ~q.
The three options are;
1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q
What is additive inverse?The additive inverse of any number is defined as when it is added to the number it gives zero as a result.
Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p
Mathematically, we have;
The given conditional statement;
If a number is negative, the additive inverse is positive which can be expressed as follows;
The conditional statement is p → q
The converse statement is q → p
The inverse statement is ~p → ~q
The contrapositive statement is ~q → ~p
Therefore, we have;
1) In The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is, therefore, p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is, therefore, ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is, therefore, q → p, the contrapositive of the original conditional statement is, therefore, ~p → ~q
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what is the property of (4y+1)x 0=0
Answer:
lemme guess algebra test?
Step-by-step explanation:
A football team is selling coupon books for $20 each to raise money. The team wants to
raise at least $1500. The team has already sold 45 coupon books. How many additional
ers.
books does the team need to sell to meet its goal?
Answer:
jumanah75 the answer is 30 more coupon books.
Step-by-step explanation:
20*45 = 900. Need $600 more20* __ = 600600/20 = 30900+600 = 1500. So therfore, the team needs to sell 30 more books :)HELPP MEEE IO PRAY THE LORD FOR SOMEONE TO HELPP
Step-by-step explanation:
...idk hope this one helps
which shows the image of rectangle ABCD after rotation (x,y) (-y,x)
Answer:
The first one
Step-by-step explanation:
the C y value is 4 and the first one's C' x value is -4
proving x=>-y
Answer: The correct answer is A
Step-by-step explanation:
Write 0.2 repeating as a fraction in simplest form.
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
We require to create 2 fractions with the repeating 2 after the decimal point.
let x = 0.22.... → (1) ← multiply both sides by 10
10x = 2.22....... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
9x = 2 ( divide both sides by 9 )
x = [tex]\frac{2}{9}[/tex]
Thus
0.22..... = [tex]\frac{2}{9}[/tex]
Answer:
2/9
Step-by-step explanation:
We require to create 2 fractions with the repeating 2 after the decimal point.
let x = 0.22.... → (1) ← multiply both sides by 10
10x = 2.22....... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
9x = 2 ( divide both sides by 9 )
x =
Thus
0.22..... =
Juan is rappelling down a 495-foot cliff at a rate of 6 feet per second. Which equation would represent the height Juan is above the ground, H, after t seconds?
Answer:
The equation is H = 495 -6t
Step-by-step explanation:
Here, we want to write an equation that will represent the height Juan is above the ground, after t seconds.
The height we want to calculate is H. The initial height is 495 foot;
At the first second, the decrease in height will be 6 * 1, at the second 6 * 2 and thus at t seconds, the decrease in height will be 6 * t = 6t
Ask the height after t seconds will be;
H = 495 - 6t
Where t represents the time in seconds
PLEASE HELP FAST! 50 POINTS!
A three digit number when divided by 5 has an even quotient. When it is divided by 3, it also has an even quotient.
A, What is the digit in the one's place?
B, What can the number be?
Answer:
A. 0
B. there are many options for this but just some examples are
120, 150, 180, 210, 240, 270, 300, 330, 360, 390
Step-by-step explanation:
the rest of the options are
420, 450, 480, 510, 540, 570, 600, 630, 660, 690,
720, 750, 780, 810, 840, 870, 900, 930, 960, 990.
What type of number is -1/3
Answer:
a rational number
Step-by-step explanation:
Rational number are numbers that can be written as a fraction where both the numerator and denominator are integers. This means that both the top and bottom of the fraction are whole numbers.
Find the distance between each pair of points (8,5) ,(-1,3)
Answer:
d=9.220
Step-by-step explanation:
Answer:
sqrt(85)
Step-by-step explanation:
Use the distance formula.
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
d = sqrt[(-1 - 8)^2 + (3 - 5)^2]
d = sqrt[(-9)^2 + (-2)^2]
d = sqrt[81 + 4]
d = sqrt(85)
Answer: sqrt(85)
Tyrone makes a scale drawing of his backyard. The scale from the
backyard to the drawing is 2 ft to 1 in. The width of the patio on the
drawing is 8 in. What is the width of Tyrone's actual patio? Write your
answer as a ratio (FOR EXAMPLE 2:1) NO LETTERS
Answer:
16:8 is the width of the patio
HELP SOS!!!!!!!!!!!!!!!!!!!!!!!
Which equation describes a line of symmetry for the figure shown? x = 0 y=−x y = x y = 0
Answer:
y=0
Step-by-step explanation:
Hope this helped!!!
9 x 10' =
______________________
Answer:
9 x 10 = 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
9x1=9 then add the zero
=90
Help me please this is due in 10 minutes, please help !!!
Answer:
Step-by-step explanation:
the answer is d
Jennifer is saving money to buy a bike. The bike costs $294. She has $126 saved, and each week she adds
$14 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her
weeks to save for the bike.
Answer:
the answer should be 12 weeks
Step-by-step explanation:
Because, 294-126=168 and 168 divided by 14 is 12
-0.56x+0.26x=6’6
?x=6.6
X=6.6
___
X=??
Answer:
x = -22
Step-by-step explanation:
Solving in steps:
-0.56x+0.26x=6.6-0.3x = 6.6x = 6.6/(-0.3)x = -22help me please!!!!!!!
Answer:
A'(-5, 6)B'(-5, 2)C'(-9, 2)D'(-9, 6)Step-by-step explanation:
Rotation 180° about the origin changes the sign of every coordinate. The image coordinates are shown above.
Is it B or C? I forgot for when you simplify if you either multiply or add.
Answer:
B
Step-by-step explanation:
[tex](w^8)^8=w^{8\times8}=w^{64}[/tex]
But,
[tex]w^8\times w^8=w^{8+8}=w^{16}[/tex]
Solve for n.
n + 1 = 4(6-8)
A.n=1
B.n=8
C.n=11
D.n=16
Simplify 6 - 8 to -2
n + 1 = 4 * -2
Simplify 4 * - 2 to -8
n + 1 = -8
Subtract 1 from both sides
n = -8 - 1
Simplify -8 - 1 to -9
n = -9
Check answer:
n + 1 = 4(6 - 8)
Let n = -9
-9 + 1 = 4 * (6 - 8)
Simplify 6 - 8 to -2
-9 + 1 = 4 * -2
Simplify 4 * -2 to -8
-9 + 1 = 8
n = 8
Answer:
n=9
Step-by-step explanation:
n+1=4(6-8)
We move all terms to the left:
n+1-(4(6-8))=0
We add all the numbers together, and all the variables
n+1-(4(-2))=0
We add all the numbers together, and all the variables
n+9=0
We move all terms containing n to the left, all other terms to the right
n=9
The answer should be n=9
i beg someone to answer ive posted this 3 times and im still not sure how to do it.....
Which of the following is the best estimate for the number of seconds which have elapsed since the start of the year 2000?
(note: date was June 2001)
A) 3 X 10⁴
B) 3 x 10⁵
C) 3 x 10⁶
D) 3 X 10⁷
E) 3 X 10⁸
(with working out please)
Answer:
D) 3 X 10⁷
Step-by-step explanation:
Estimated days:
Jan 2000 to June 2001 = 1.5 years = 365*1.5 days ≈ 548 days1 day = 24 hours = 24*60 minutes = 24*60*60 seconds = 86400 seconds548 days = 548 * 86400 seconds = 47347200 ≈ 4.7*10⁷Best estimate is D) 3 X 10⁷
Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did Jack make in total in commission during all four weeks?
Week
Sales
1
$3,000
2
$2,500
3
$3,500
4
$4,000
$200.00
$260.00
$2,000.00
$2,600.00
Answer: The answer is D 2,6000.00
Answer:
D
Step-by-step explanation:
f(x) = x^2-3x + 7. find f(-1)
Answer:
f(x)= x^2-3x+7
(-1)^2-3(-1)+7
1+3+7
11
Step-by-step explanation:
combining like terms with negative coefficients
2x-4xy+5x-2xy-4x-4y?
Answer: 3x-6xy-4y
Step-by-step explanation: So, it’s been a few years since I’ve been in high school, but if I remember correctly...it should break down as such...
A good method to breaking this down is to use parentheses to break up the equation.
Example: (2x)(-4xy)(+5x)(-2xy)(-4x)(-4y)
Keep in mind we are only using the parentheses as a breaker and not as multiplication as it can be seen.
So, start with the singular ‘x’ variants. (2x) (+5x) (-4x). 2x+5x is 7x. 7x-4x is 3x. Now, move onto ‘xy’ variant. (-4xy) and (-2xy). As these are both negative, they add together to make an even lower number...being -6xy. Onto the final step taking the singular ‘y’ variant. There’s only 1 ‘y’ variant so it just stays -4y.
In the end, you end up with 3x-6xy-4y. :) Hope this helps. If you have any more questions, let me know!
Defined as a set of all points equidistant from a given point.
A)
arc
B)
angle
C)
circle
D)
line segment
Answer:
C
The answer is C and the distant from a given point to a point on the Circle is radius
A middle school took all of its 6th grade students on a field trip to see a play at a theatre that has 2000 seats. The students filled 65% of the seats in the theatre. How many 6th graders went on the trip?
Someone plzz answer only number 9 easy!!
(Correct will mark as brainliest)
Thanks guys
Answer:
4×102 +5×101 +6×100 +8 × 10-1 +1 × 10-2
I hope that made sense lol
Answer:
400 + 50 + 6 + 0.8 + 0.01
Step-by-step explanation:
This is the answer because:
1) Expanded form means to write a number with its full value. It is shown as a sum of each digit multiplied by its matching place value
2) Therefore, the answer is 400 + 50 + 6 + 0.8 + 0.01
Hope this helps!
A. 67
B. 47
C. 52
D. 26
Answer:
Step-by-step explanation:
22 - 55 + 4x = 2x + 7
4x - 33 = 2x + 7
2x - 33 = 7
2x = 40
x= 20
22 - 55 + 4(20) = 2(20) + 7
80 - 33 = 40 + 7
47 = 47
answer is B
Answer:
The answer is B
Step-by-step explanation:
Enter the decimal value positioned at point B.
Answer:
-2.25
Step-by-step explanation:
each mark represents 0.25
Decimal value positioned at point B is -2.25
What is Number system?A number system is defined as a system of writing to express numbers.
A number line can be defined as a pictorial representation of numbers on a straight line.
In the given number line each line represents 0.25 (zero point two five value).
As B is in between -2 and -3.
So B value is between minus two and minus three
The values which can be between -2 and -3 are -2.25, -2.5, -2.75.
The decimal value positioned at point B is -2.25
Hence decimal value positioned at point B is -2.25
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8. Fill in the blank. The ___
form of the equation of a line with a slope
m passing through (x1y1) is y- y1= m(x-x1).