Do the points shown represent additive inverses? Explain why or why not.
A number line going from negative 5 to positive 5. Points are at negative 3 and positive 3.
Answers
Answer:
Yes.
Step-by-step explanation:
W
The additive is what you add to a number to get zero.
The negative of a number.
Example:
The additive inverse of −5 is +5, because −5 + 5 = 0
The additive inverse of +5 is −5, because +5 − 5 = 0
Additive inverses are negated numbers.
The points on the number line are additive inverses.
For a number x, the additive inverse is -x.
The first point on the number line is:
[tex]\mathbf{x = 3}[/tex]
Negate both sides
[tex]\mathbf{-x = -3}[/tex]
-3 represents the additive inverse of 3.
Hence, the points on the number line are additive inverses.
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Related Questions
Raffle tickets are being sold for a fundraiser. The function a(n) relates the
amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount
of money raised.
a(n) = 3n - 25
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?
Answers
Answer:
If the function is
A(n) = 4n -25
and we wish to get the inverse function N(a)
We let
A(n) = a
n = N(a)
Plugging in the values
a = 4 N(a) - 25
Arranging the equation:
4 N(a) = a + 25
N(a) = (a + 25) /4
The answer is
N(a) = (a + 25) /4
Step-by-step explanation:
The inverse function of a(n) = 3n - 15 is n(a) = 5 + a/3.
What is an inverse function?An inverse function exists a function that undoes the action of another function. A function g exists as the inverse of a function f if whenever
y = f(x) then x = g(y).
We have:
a(n) = 3n - 15
Rewrite the above equation as
a = 3n - 15
Add 15 to both sides of the equation
3n = 15 + a
Divide through by 3, we get
n = 5 + a/3
Express as function then, we get
n(a) = 5 + a/3
Hence, the inverse function is n(a) = 5 + a/3.
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What is the value of x?
A.2
B.3
C.6
D.7
Answers
Answer:
A
Step-by-step explanation:
Given 2 secants from a point outside the circle.
Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is
(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)
(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides
x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides
4x + 12 = 20 ( subtract 12 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2 → A
what is 1/3c-7=1
show your works
Answers
Answer:
c=24
Step-by-step explanation:
Step 1: Add 7 to both sides.
1/3c−7+7=1+7
1/3c=8
Step 2: Multiply both sides by 3.
3*(1/3c)=(3)*(8)
c=24
hope i helped
-lvr
325,310,289,288,285,285,285,280,273. the mean of the set is 290 pounds what is the mean absolute deviation of the data set,to the nearest whole number
Answers
Answer:
276
Step-by-step explanation:
what is the first step in solving for “b”?
Answers
Answer:
c
Step-by-step explanation:
Answer:
c)
Step-by-step explanation:
Ms. Augustine is playing a game with her class. When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results.
What would the number be when the student says 8?
A. 58
B. 56
C. 54
D. 50
Answers
Answer:
When a student tells her a number, she uses a rule to determ
Step-by-step explanation:
Get the answers ... When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results. What would the number be when the student says 8? A. 58. B. 56. C. 54
Answer:
58
Step-by-step explanation:
What’s this answer?
Answers
Answer:
x=2, y=1
Step-by-step explanation:
The left and right sides are equal
7x-2 = 5x+2
Subtract 5x from each side
7x -5x-2 = 5x-5x+2
2x-2 = 2
Add 2 to each side
2x -2+2 = 2+2
2x = 4
Divide by 2
2x/2 = 4/2
x =2
The top and the bottom are the same length
6x+y = 7x-1
6(2) +y = 7(2)-1
12 +y = 14-1
Subtract 12 from each side
12 +y-12 = 13-12
y = 1
When using an equivalent fraction to find the percent , why do u write 100 as the denominator?
Answers
Answer:
This is because It is easy to convert a fraction to a percent when the denominator is 100. If a fraction does not have a denominator of 100, you can convert it to an equivalent fraction with a denominator of 100, and then write the equivalent fraction as a percent.
Step-by-step explanation:
HELP ME PLEASE!!!
I don't understand....
If possible, please explain!
Answers
Answer:
<B = 107
Step-by-step explanation:
This two triangles are congruent by SSS
So angleB = angleD
We can find angle D by the sum of the angles of a triangle
A+C+D = 180
32+41+D = 180
73+D = 180
D =180-73
D =107
C = B = 107
10) A spinner has an equal chance of landing
on each of its four numbered regions. You
spin twice. The first spin lands in region
one and the second spin lands in region
one.
Are the events independent or dependent?
What is the probability?
Answers
Answer:
independent and 1/16
Step-by-step explanation:
independent because you are not getting it you are just spinning.
1/4 times 1/4
i may be wrong on this
help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: Matt is correct
Step-by-step explanation: length x width x height so it's D
pls help pls its hard ....
Answers
Answer:
(1,5)
Step-by-step explanation:
plug in the x and y values to see if they are equal in the equation. If not, then you know the answer is wrong.
Answer: if you need help ask
Step-by-step explanation:
First you start by finding a problem
Next you ask someone to help you with the problem, simple :)
52.5 ft
25 ft
22 ft
18.18 ft
for the picture below
Answers
Answer:
18.1818181 Feet
Step-by-step explanation:
Divide 27.5 by 20 to establish a ratio between the length and width of the house, then multiply your new ratio by 25. Units do not matter, as long as it's not like 27.5 mm high by .05 ft wide.
Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
O A. The graph of g(x) is the graph of f(x) shifted 5 units up.
O B. The graph of g(x) is the graph of f(x) shifted 5 units to the right.
O C. The graph of g(x) is the graph of f(x) shifted 5 units down.
O D. The graph of g(x) is the graph of f(x) shifted 5 units to the left.
Answers
Since y = f(x), and we are adding 5 to this, we can say that g(x) is basically f(x) but has been shifted 5 units up.
Example: f(x) = x^2 and g(x) = f(x)+5 = x^2+5. Compare those two graphs and you should see that every point on f(x) has been moved up 5 units.
The statement best compares the graph of g(x) with the graph of f(x) is "The graph of g(x) is the graph of f(x) shifted 5 units up".
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the value of function g(x) is given, therefore, the function of g(x) will be 5 units upwards from the function f(x).
An example of this is been attached below.
Therefore, the statement best compares the graph of g(x) with the graph of f(x) is "The graph of g(x) is the graph of f(x) shifted 5 units up".
Learn more about Function:
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Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
(4n^2 + -5n + -1) (3n^2)
Answers
Answer:
[tex]12n^4-15n^3-3n^2[/tex]
Step-by-step explanation:
The first step is to distribute the [tex]3n^2[/tex] to [tex](4n^2-5n-1)[/tex], like so:
[tex](4n^2-5n-1)[/tex][tex](3n^2)[/tex]
[tex]12n^4-15n^3-3n^2[/tex]
Complete number one which is b and c for 9 points
Answers
Step-by-step explanation:
b) [tex] I= prt\implies r = \frac{I}{pt} \\[/tex]
c) [tex] I= prt\implies t = \frac{I}{pr} \\[/tex]
Answer:
1.
B. i/Pt = Prt/Pt
i/Pt = r
C. prt/pr = i/pr
t=i/pr
Step-by-step explanation:
Pretty Easy with Algebra and Geometry.
Which binomial is a factor of the quadratic trinomial x2 − 7x + 12? A. (x + 2) B. (x − 6) C. (x + 3) D. (x − 4)
Answers
Answer:
D
Step-by-step explanation:
To factor a quadratic you need to think about what adds up to the b coefficient (the number in front of b) and multiplies to the constant. 3 and 4 do these, but you also know that you have -7 instead of positive 7. A negative times a negative is equal to a positive, which you can do (x-3)(x-4) to equal your quadratic trinomial.
Starting at time t = 0, the altitude of one helicopter is given by A1 = 600 + 150t, and the altitude of a second helicopter is given by A2 = 1250 + 50t. Which equation represents the difference of their altitudes A at time t?
Answers
Answer:
The equation for difference in altitude of the two helicopters is A = 650 - 100t
Step-by-step explanation:
Given;
The altitude of one helicopter is, A1 = 600 + 150t
The altitude of a second helicopter is, A2 = 1250 + 50t
Their difference in altitude, A at time t, is calculated as
A₂ - A₁ = A = (1250 + 50t) - (600 + 150t)
A₂ - A₁ = A = 1250 + 50t - 600 -150t
A₂ - A₁ = A = 1250 - 600 + 50t - 150t
A₂ - A₁ = A = 650 - 100t
Therefore, the equation for difference in altitude of the two helicopters is A = 650 - 100t
please help asap, will mark brainlest. Thanks
Answers
Answer:
2.
4x^2 + 4 - 5x + x - 2x^2 + 8
= (4x^2 - 2x^2) + (x - 5x) + (4 + 8)
= 2x^2 - 4x + 12
=> D is correct
3.
2x^2 + 6x - 7x + 8 - 3x^2 + 1
= (2x^2 - 3x^2) + (6x - 7x) + (1 + 8)
= -x^2 - x + 9
=> C is correct
4.
B is correct (4 and 3)
Hope this helps!
:)
Put these numbers in order, smallest to largest.
0.59 0.509 0.5 0.9 5.9
Answers
Answer:0.5<0.509<0.59<0.9<5.9
Step-by-step explanation:
Maths
Answer:
0.5,0.509,0.59,0.9,5.9
Step-by-step explanation:
Megan has a bag containing 5 pink marbles, 3 orange marbles, 6 green marbles, and 2 yellow marbles.
Megan started to develop a probability model. Here is the sample space.
S = {P, P, P, P, P, O, O, O, G, G, G, G, G, G, Y, Y}
Part A
put in order where it would go on the table 2/16, 3/16, 5/16, 6/16
Help Megan complete the model by assigning probabilities to the four listed events. Drag each fraction to the correct probability.
Part B
Suppose Megan drew a marble 80 times. Estimate how many times she should expect to draw an orange marble. Megan would draw an orange marble ____
times.
Answers
Step-by-step explanation:
To find the probability
Total marbles = 5 + 3 + 6 + 2 = 16
P pink = 5/ 16
P orange = 3/16
P green = 6/ 16 = 3/8
P yellow = 2/16 = 1/8
Part B when we divide 80 by 16 = 5
So she drew every marble 5 times
So 3 x 5 = 15
She drew the orange marble 15 times
hi does anyone know the answer
Answers
Answer:
153.938040026...
Step-by-step explanation:
Remember Apple Pies R 2
A=π*r²
Remember Cherry Pie Delicious
C=π*d
Answer:
Area = 49 π cm²
Step-by-step explanation:
Radius = Diameter / 2 = 14 / 2 = 7 cm
Area = π r ²
Area = π (7)²
Area = 49 π cm²
A land bridge from Asia to the Americas was made possible by which of the following?
A) archaeologists
B) the development of stone tools
C) last Ice Age
D) prehistoric people
Answers
Answer:
C, Last Ice Age
Step-by-step explanation:
A land bridge wouldn't be developed by humans. The only reasonable explanation would be the last Ice Age
A land bridge from Asia to the Americas was made possible by the last Ice Age. So, the correct answer is C.
What is Land Bridge?A land bridge is an isthmus or wider land connection between otherwise separate areas, over which animals and plants are able to cross and colonize new lands.
A land bridge from Asia to the Americas was made possible by the last Ice Age.
During the last Ice Age, much of the Earth's water was locked up in glaciers, causing sea levels to drop and exposing a land bridge between Asia and North America.
This allowed prehistoric people to migrate from Asia to the Americas, a journey that would not have been possible without the land bridge created by the last Ice Age.
Hence, A land bridge from Asia to the Americas was made possible by the last Ice Age. So, the correct answer is C.
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please help:)))))))))))))
Answers
Answer: The area is 103.5
Step-by-step explanation: The question becomes very simple once you know how to split this object into objects that you most likely know how to solve the area of. In truth, if you split the shapes in triangles and rectangles, you would find 4 rectangles and a triangles. Once you have solved the area of all of them, you would just have to add. How I solved it goes like this. I added 22.5 as the triangle, 35 as a rectangle, 2 as another rectangle, 18 as another rectangle, and 26 as the final rectangle.(take note that these numbers are the areas of the split shapes) If you added correctly, you would get 103.5
7. For a period of time, an island's population of rabbits grows at a rate proportional to its population. If the
population doubles every 17 years and the current population is 196, what will the population be 45 years from
now?
can someone help me with this? i’m desperate
Answers
Answer:
The answer is 784
Step-by-step explanation:
You divide 17 from 45 it will equal 2.647 years technically 2 year that the population has doubled.
You multiply 196 by 2 and do that a second time to get 784.
As of 2008 the worlds population was about 6.7 billion people. The population of the United States in 2008 was 305 million. In 2008 what percent of the world’s population was the US population?
Answers
Answer:
In 2008 the US population was 4.55% of the world population.
Step-by-step explanation:
In order to calculate the percent of the world population that represents the US population, we can apply a rule of three in such a way that the world population is related to 100% in the same proportion that the US population is related to x%. We then solve for x. This is shown below:
6.7*10^9 -> 100%
305*10^6 -> x%
6.7*10^9 / 305*10 ^6 = 100 / x
6.7*10^3 / 305 = 100 / x
(6.7*10^3)*x = 305*100
x = 30500 / (6.7*10^3)
x = 4,55 %
In 2008 the US population was 4.55% of the world population.
Answer: 6.76 109
Step-by-step explanation:
What is the value of x in the figure? Enter your answer in the box.
Answers
Answer:
x = 65
Step-by-step explanation:
2x + 15 and 145 are vertical angles and congruent, thus
2x + 15 = 145 ( subtract 15 from both sides )
2x = 130 ( divide both sides by 2 )
x = 65
Answer:65
Step-by-step explanation:
2x+15=145. Because opposite angles are equal
2x+15=145
Collect like terms
2x=145-15
2x=130
Divide both sides by 2
2x/2=130/2
x=65
What is 25 percent of 48?
Answers
Answer:
12
Step-by-step explanation:
Divide 48 into 4 parts
Answer:
(25:100)*48=
(25*48):100=
1200:100=12
Answer=12
Find the value of x. Will mark brainliest.
Answers
Answer:
15
Step-by-step explanation:
Because this figure is a parallelogram, the diagonals bisect each other. This means that the diagonals cut each other perfectly in half, meaning that x and 15 have the same value. Hope this helps!
Step-by-step explanation:
I think its 5 for x if you do 15/3=5 I think
Will Give Brainliest!!!! On Time Limit Hurry Please Wrong answer will be deleted!!
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? (negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot) (negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot) {–12, 2} {–2, 12}
Answers
Answer:
x = - 12, x = 2
Step-by-step explanation:
Given
x² + 10x = 24
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = 24 + 25
(x + 5)² = 49 ( take the square root of both sides )
x + 5 = ± = ± 7 ( subtract 5 from both sides )
HOPE THIS HELPS
Answer:
x = 2 , − 12
Step-by-step explanation:
Use the formula ( b /2 ) (^)2 in order to create a new term. Solve for x by using this term to complete the square.
