Answers
Answer: B. The domain is {x|x<0 or x>0} and the range is {y|y>0}
Step-by-step explanation:
f(x)=x^-2
----------------------------
#1 Any negative (-) exponents means the answer will be 1/ the term
- for example, 3^-2=1/3^2=1/9
NOTE: NEGATIVE EXPONENTS DOES NOT MEAN IT IS A NEGATIVE NUMBER, IT IS STILL A POSITIVE NUMBER IF THE BASE IS POSITIVE.
-----------------------
The domain, which will be the value of x.
x can be any real number, except 0, because 0 can't go to negative exponents or else it will be undefined.
{x|x<0 or x>0}
-------------------------------------
The range, which will be the value of y.
Since the x value is being squared, it is always positive
{y|y>0}
Answer:
A. The first choice.
Step-by-step explanation:
[tex] f(x) = x^{-2} [/tex]
Let's rewrite the function in a more familiar way.
[tex] f(x) = \dfrac{1}{x^2} [/tex]
Domain:
We know that a denominator cannot equal zero, so we set the denominator equal to zero to find the values of x that must be excluded from the domain.
x^2 = 0
x = 0
The only value excluded from the domain is x = 0.
The domain is all reals except for zero.
Range:
Now that we know the domain is all real numbers except for 0, we look closely at the denominator.
What happens when you replace x with negative numbers? Since you are squaring x, all denominators will be positive. When you replace x with positive numbers, all denominators will also be positive. For values of x with a large absolute value, for example 1000, -1000, 1,000,000 or -1,000,000, as the absolute value of x increases, f(x) approaches zero. For values of x with a small absolute value, such as 0.0001, -0.0001, -0.00000001, or 0.00000001, as x approaches zero, f(x) approaches positive infinity.
The range is all positive real numbers.
Answer:
Domain: all real numbers except 0.
Range: all positive real numbers.
Related Questions
Write the expressions for the following situations. The difference of 15 and 4 times a number I want to buy 4 tickets to go to Disney World. They are currently on sale for with a 12% discount. Write the SIMPLIFIED expression to represent this scenario.
Answers
Answer:
The difference of 15 and 4 times a number4a - 15
I want to buy 4 tickets to go to Disney World. They are currently on sale for with a 12% discount.100% representate the original cost of tikets,
100% = 100/100 = 1
12% discont:
12% = 12/100 = 0.12
1 - 0.12 = 0.88
0.88
then the expressión is:
4*0,88d
=3.52 d
d = original cost of each ticket
4[5-8(4c-3)]=12(1-13c)-8
Answers
[tex]\boxed{c = -4}[/tex]
First, we will use the distributive property (order of operations) to simplify the equation:
(4)(5) + (4)(−8(4c−3)) = (12)(1) + (12)(−13c)+ (−8) =
20 + (−128c) + 96 = 12 + (−156c)+ (−8)
Now, we will combine like terms to simplify the equation:
(−128c) + (20 + 96) = (−156c) + (12+ (−8) =
−128c + 116 = −156c + 4
Now we will add 156 to both sides, using inverse operations.
−128c + 116 + 156c = −156c + 4 + 156c =
28c + 116 = 4
Now we will subtract 116 from both sides:
28c + 116 − 116 = 4 − 116 =
28c = −112
Lastly, we will divide both sides by 28:
28c/28 = c
-112/28 = -4
The equation now looks like:
c = -4
Therefore, your answer is -4.
Hi there! Hopefully this helps!
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Answer: [tex]\boxed{c = -4}[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]4(5-8(4c-3))=12(1-13c)-8[/tex]
Use the distributive property to multiply −8 by 4c − 3.
[tex]4(5-32c+24)=12(1-13c)-8[/tex]
Add 5 and 24 to get 29.
[tex]4(29 - 32c)=12(1-13c)-8[/tex]
Use the distributive property to multiply 4 by 29 − 32c.
[tex]116-128c=12(1-13c)-8[/tex]
Use the distributive property to multiply 12 by 1 − 13c.
[tex]116-128c=12-156c-8[/tex]
Subtract 8 from 12 to get 4.
[tex]116-128c=4-156c[/tex]
Add 156c to both sides.
[tex]116 - 128c+156c=4[/tex]
Combine −128c and 156c to get 28c.
[tex]116+28c=4[/tex]
Subtract 116 from both sides.
[tex]28c=4-116[/tex]
Subtract 116 from 4 to get −112.
[tex]28c=-112[/tex]
Divide both sides by 28.
[tex]c=\frac{-112}{28}[/tex]
Divide −112 by 28 to get, you guessed it, -4!How old am I if 400 reduced by 3 times my age is 241
Answers
Answer:
Step-by-step explanation:
5
The function h(t) --4.922 +17.69+575 is used to model the height of an object being tossed from a tall building, where h(t) is
the height in meters and t is the time in seconds. What are the domain and range? Round to the nearest hundredth.
domain: [0, 12.76]
range: (1.80, 590.90)
domain: [1.80,12.76]
range: [1.80, 590.90)
domain: [1.80,12.76]
range: [0, 590.90]
domain: [0, 12.76]
range: [0,590.90]
Answers
Answer:
Domain: [0, 12.75]
Range: [0, 590.9]
Step-by-step explanation:
Your function is missing variables.
I think you mean
h(t) = -4.922t^2 + 17.69t + 575
as the function.
We can find the time the object hits the ground. At that time, h(t) = 0, so we set the equation equal to zero and solve for t.
-4.922t^2 + 17.69t + 575 = 0
[tex] t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] t = \dfrac{-17.69 \pm \sqrt{(-17.69)^2 - 4(-4.922)(575)}}{2(-4.922)} [/tex]
[tex] t = \dfrac{-17.69 \pm \sqrt{11633.54}}{-9.844} [/tex]
t = -9.16 s or t = 12.75 s
According to the parabola that is the path of the falling object, the object is at zero height at t = -9.16 s and t = 12.75 s. Since the object starts moving at time t = 0, the domain has to be limited to t = 0 till t = 12.75 s.
Domain: [0, 12.75]
The range is the height of the object. Maximum height occurs at the time that is the midpoint of the two times the parabola shows h(t) = 0.
tmax = (-9.16 + 12.75)/2 = 1.797
Now we use the time of maximum height to find the maximum height.
h(t) = -4.922t^2 + 17.69t + 575
h(tmax) = -4.922(1.797)^2 + 17.69(1.797) + 575
h(tmax) = 590.9
The maximum height is 590.9 m.
Range: [0, 590.9]
You invest 5000 dollars in an account at 1.6% interest is compounded annually (once a year) a) write an equation that shows the amount of money you have after x years b) How much money would you have after 15 years
Answers
Answer:
a. P= 5000( 1.016)^x
b. $ 6344.18
Step-by-step explanation:
The equation for finding the compound interest annually is
P = P_1 ( 1 +r)^t
Here
P = the amount after the interest has been added or the new balance
P_1= the principal amount
r= rate at which interest is charged
t= time in years
So we have
P = the new balance
P_1= the principal amount= $ 5000
r= rate at which interest is charged= 1.6 %
t= time in years= x
Putting the values in the above equation
P = P_1 ( 1 +r)^t
P = 5000 ( 1+ 1.6/100) ^x
P= 5000( 1.016)^x
b) When t= 15
Again
Putting the values in the above equation
P = P_1 ( 1 +r)^t
P = 5000 ( 1+ 1.6/100)^15
P = 5000( 1.26883637) = 6344.18185= $ 6344.18
Giles is searching for a sock and he discovers he has 10 socks for every 5 pair of shoes.If he has 20 socks, how many pairs of shoes does he have
Answers
Answer:
10
Step-by-step explanation:
Answer:
10 shoes
Step-by-step explanation:
Step 1: State what is known
Giles has 10 socks for every 5 pairs of shoes
He has 20 socks
Step 2: Set up the ratio
Let 'x' represent how much shoes Giles has
10 socks : 5 shoes
20 socks : x shoes
Step 3: Convert ratio into fraction
[tex]\frac{Socks}{Shoes}[/tex]
10 socks : 5 shoes = [tex]\frac{10}{5}[/tex]
20 socks : x shoes = [tex]\frac{20}{x}[/tex]
Step 4: Set ratio equal to each other and solve
[tex]\frac{10}{5}=\frac{20}{x}\\ 10x = 100\\\frac{10x}{10}=\frac{100}{10}\\x = 10[/tex]
Therefore Giles has 10 shoes when he has 20 socks
Please help a girl out I’m honestly extremely slow
Answers
First, reorder the numbers so they go from least to greatest. It should look like this:
-11, -9, -6, 0, 2, 18, x, 20, 36, 37, 46, 47, 51.
Mean: 19.25
The mean is the average. To find it, add all numbers together and divide by how many numbers there are.
Median: 19
The median is the center number in the ordered line of numbers. I added a bolded variable (x), so you can see where it is. Because it's between two numbers, add those numbers and divide by 2.
Mode: N/A
There's not a mode. A mode is a repeating number in the sequence.
Range: 62
Range is the difference between the largest and smallest number.
[tex]51 - ( - 11) = 62[/tex]
47.)
The range is larger than the highest temperature because the temperature values are both positive and negative. Due to this, the smallest number (-11) becomes positive as the negative sign is distributed to it and adds to the largest number (51).
48.)
Again, mean is the average. Add all values together and divide by the number of values there are.
[tex] = \frac{( - 11) + ( - 9) + ( - 6) + 0 + 2 + 18 + 20 + 36 + 37 + 46 + 47 + 51}{12} [/tex]
[tex] = \frac{231}{12} [/tex]
[tex] = 19.25[/tex]
solve inequality 5x+1<=3x-17
Answers
Answer:
-9 >= x
Step-by-step explanation:
5x + 1 <= 3x - 17
add 17 to both sides- that will cancel the one on the right side. And on left side it would add to 18
5x + 18 <= 3x
then subtract 5x from both sides- that will cancel the one on left side. And on the right side ur left with negative 2x
18 <= -2x
divide both sides by negative 2... since dividing by -2 u have to slip the inequality sign.
-9 => x
hi
5x+1 ≤ 3x-17
5x-3x≤ -17 -1
2x≤ -18
x≤ -18/2
x≤ -9
solutions : x ∈ ] -∞; -9]
Use 5 fives, parentheses, and 4 operations to make 0.
Answers
Answer:
(5÷5+5)x(5-5)=0
Step-by-step explanation:
(5÷5+5)x(5-5)=0
how to slove -10 -1 need help
Answers
Answer:
-10 - 1 = x
Step-by-step explanation:
If you take -10 and subtract one, it makes the number go down lower because it's negative (example, 12 - 2 is -14)
For a 180° rotation about the origin, write the coordinates of each point in the table.
Answers
Answer:
Hey, you don't include any points, but I can give you the rule for an 180 degree rotation.
You just need to write the same points, but negative. So going from (x,y) to
(-x,-y).
As an example let's say you wanted to rotate (3,-4) 180 degrees about the origin. The the point after the rotation would be (-3,4).
Hope that helps!
= 2 - 4
Drawing Tools
Click on a tool to begin drawing
3 peate
Undo
Reset
Select
Line
10-
8-
6-
4
-10
-8
-5
-4
8
10
it
B
a
Answers
Answer:
Please find attached the required inverse of a function chart
Step-by-step explanation:
The inverse of a function is found by reversing the operations of the function
The inverse of the function f(x) = 2·x - 4 is found as follows;
x = 2·x - 4
x + 4 = 2·x
x = (x + 4)/2 = x/2 + 2
Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2
The inverse function is plotted by generating data points as follows;
[tex]{}[/tex]x [tex]{}[/tex] f(x)
0 2
1 2.5
2 3
3 3.5
4 4
5 4.5
6 5
7 5.5
8 6
9 6.5
10 7
11 [tex]{}[/tex] 7.5
12[tex]{}[/tex] 8
13 8.5
14 9
15 9.5
16 10
Solve equation: 4(3D- 1)=12d
Answers
Answer:
no solution
Step-by-step explanation:
Divide by 4:
3d -1 = 3d
Subtract 3d:
-1 = 0 . . . . . . FALSE
There is no value of d that will make this be true. The equation has NO SOLUTION.
Nswer two questions about Systems A AA and B BB: System A AA start text, end text System B BB { − 3 x + 12 y = 15 7 x − 10 y = − 2 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ −3x+12y=15 7x−10y=−2 { − x + 4 y = 5 7 x − 10 y = − 2 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ −x+4y=5 7x−10y=−2 1) How can we get System B BB from System A AA? Choose 1 answer: Choose 1 answer: (Choice A) A Replace one equation with the sum/difference of both equations (Choice B) B Replace only the left-hand side of one equation with the sum/difference of the left-hand sides of both equations (Choice C) C Replace one equation with a multiple of itself (Choice D) D Replace one equation with a multiple of the other equation
Answers
Answer:
(Choice C) C Replace one equation with a multiple of itself
Step-by-step explanation:
Since system A has the equations
-3x + 12y = 15 and 7x - 10y = -2 and,
system B has the equations
-x + 4y = 5 and 7x - 10 y = -2.
To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).
So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)
So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.
So, choice C is the answer.
We replace one equation with a multiple of itself.
Answer:
it is c and yes
Step-by-step explanation:
I got it in khan academy
2 + (x + y) = (2 + x) + y is an example of which algebraic property?
Answers
Answer:
Associative Property of Addition
Step-by-step explanation:
The associative property of addition states that if all the operations are addition, then one can group and add them in whatever order they prefer.
Hope this helps! Tell me if I'm wrong!
Please solve, 1-8n-8= -7n-6n-12?
Answers
Answer:
n = -1
Step-by-step explanation:
1 - 8n - 8 = -7n - 6n - 12
Simplify
-8n - 7 = -13n - 12
Add 7 to both sides
-8n = -13n - 5
Add 13n to both sides
5n = -5
Divide both sides by 5
n = -1
Answer:
n = 1
Step-by-step explanation:
1 - 8n - 8 = -7n - 6n - 12
-8n + 7n + 6n = -12 + 8 - 1
5n = -5
n = -5/5
n = -1
probe:
1 - 8*-1 - 8 = -7*-1 - 6*-1 - 12
1 + 8 - 8 = 7 + 6 - 12 = 1
identify the correct reason for the second node
A. Reflection
B. Definition of midpoint
C. Definition of congruent segments
Answers
I think your teacher meant to say Reflexive property instead of reflection. The reflexive property is the idea that any segment is the same length as itself. It seems like a trivial idea, but it's useful to be able to pull triangles apart like in this problem here.
Note: when naming a segment, the order of the endpoints listed doesn't matter. So that's why EU is the same as UE.
Three pizzas are being split amongst friends. Everyone will get 1/4 of a pizza. How many friends can eat pizza? Help ASAP, ill give brainlist to first answer
Answers
Answer:
12 friends
Step-by-step explanation:
If we have 3 pizzas, each cut into slices of [tex]\frac{1}{4}[/tex], then we have a total of [tex]3 \div \frac{1}{4} = 3\cdot\frac{4}{1} = 12[/tex] slices.
This means that 12 friends can share the 3 pizzas.
Hope this helped!
Answer:
12 people
Step-by-step explanation:
If everyone is getting 1/4 of the pizza then that means there are 4 slices in each pizza
Sherrie measured the amount of rain received each day over the last two weeks results, in inches, are
0.57,0840.73, 008,0,001,180, 0.85,0,0,0,0.18.0.240.64
What is the average amount of rainfall (rounded to the nearest hundredth of an inch) received each day over this two
week period?
Answers
Add every decimal, then divide by 14 (two weeks, 7 days, total of 14 values), and the closest you get is 0.42.
Which table has a constant of proportionality between y and x of 0.9? someone plz answer if i dont get this i wont be able to get a phone no joke plz help okie ty byee aaaa :)
Answers
Answer:
B
Step-by-step explanation:
LOTS OF POINTS - SIMPLE MATH
Match the property name with the appropriate equation.
10. Opposite of a Difference......................A. −[(−r) + 2p] = −(−r) − 2p
11. Opposite of a Sum.....................................B. 16d − (3d + 2)(0) = 16d − 0
12. Opposite of an Opposite.........................C. 5(2 − x) = 10 − 5x
13. Multiplication by 0......................................D. −(4r + 3s) + t = (−1)(4r + 3s) + t
14. Multiplication by –1.....................................E. −(8 − 3m) = 3m − 8
15. Distributive Property...................................F. −[−(9 − 2w)] = 9 − 2w
Answers
Answer:
[tex]10. \text{Opposite of a Difference} \implies \text{E. } -(8 -3m) = 3m - 8[/tex]
[tex]11. \text{Opposite of a Sum} \implies \text{A. } -[(-r) + 2p] = -(-r) -2p[/tex]
[tex]12. \text{Opposite of an Opposite} \implies \text{F. }-[-(9 - 2w)] = 9 - 2w[/tex]
[tex]13. \text{Multiplication by 0} \implies \text{B. }16d -(3d + 2)(0) = 16d - 0 = 16d[/tex]
[tex]\boxed{\text{The product of two numbers is equal to 0} \implies 0 \cdot a = 0}[/tex]
[tex]14. \text{Multiplication by -1} \implies \text{D. } -(4r + 3s) + t = (-1)(4r + 3s) + t[/tex]
[tex]15. \text{Distributive Property} \implies \text{C. } 5(2-x) = 10-5x[/tex]
solve on y: 3y+5/2y+1 = 2/6
Answers
Answer:
y = 4
Step-by-step explanation:
Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation.
-5 + 3y + -2y = -1 + 2y + -2y
Combine like terms: 3y + -2y = 1y
-5 + 1y = -1 + 2y + -2y
Combine like terms: 2y + -2y = 0
-5 + 1y = -1 + 0
-5 + 1y = -1
Add '5' to each side of the equation.
-5 + 5 + 1y = -1 + 5
Combine like terms: -5 + 5 = 0
0 + 1y = -1 + 5
1y = -1 + 5
Combine like terms: -1 + 5 = 4
1y = 4
Divide each side by '1'.
y = 4
Simplifying
y = 4
Jemima bought 150 oranges at ¢12 and sold them at 6 for 30gp find the profit or loss
Answers
Answer:
The loss is ¢ 4.50Step-by-step explanation:
To calculate either the profit or loss we must first find the cost price and the selling price
For the cost price
She bought 150 oranges at ¢12
Cost price = ¢ 12.00
For the selling price
She sold 6 at 30 Gp that's ¢ 0.30
If she sold 6 at ¢ 0.30
Then 150 will be 150× 0.3/ 6
Selling price = ¢ 7.50
Since the cost price is higher than the selling price she made a loss
Loss = Cost price - Selling price
Loss = ¢ 12 - ¢ 7.50
Loss = ¢ 4.50Hope this helps you
Write a verbal sentence to represent the equation.
x+3/4=5
Answers
Answer:
[tex]\Large \boxed{\mathrm{The \ sum \ of \ a \ number \ and \ three \ quarters \ is \ five.}}[/tex]
Step-by-step explanation:
x + 3/4 = 5
x is the unknown number.
3/4 is added to the number.
The result is 5.
The verbal sentence to represent the equation would be:
The sum of a number and three quarters is five.
Consider N{A} = 4 and N{B} = 5. (a) What is the smallest number possible for N{A ∩ B}? (b) What is the largest number possible for N{A ∪ B}?
Answers
Answer:
(a) N{A∩B} = 0
(b) N{A∪B} = 9
Step-by-step explanation:
Union of two sets: This can be defined as the sum of all the elements of the two sets without writing one element twice. it is denoted by the symbol ∪
Intersection of two sets; This is the set of elements that appears in both sets. It is denoted by the symbol ∩
From the question above,
assuming there is no repetition element in both set,
(a) The smallest number possible for N{A∩B} = 0
(b) The largest number possible for N{A∪B} = 4+5 = 9.
Find the base length for a triangle that has an area of 120m2 and a height of 12m. Thank you
Answers
Answer:
B=20m
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
The area of a triangle is calculated by multiplying height to the base and that divided by two
b × h ÷ 2 = 120
b × h = 240
b × 12 = 240
b = 20
Simplyfy the expression 4x+(15x+y) -11y
Answers
Answer:
(64x -11)/y
Step-by-step explanation:
Multiply 4x into the parenthesis.
60x + 4xy -11y
Divide by y.
(60x + 4x -11)/y
(64x -11)/y
Steps to solve:
4x + (15x + y) - 11y
~Remove parenthesis and combine like terms
4x + 15x + y - 11y
19x - 10y
Best of Luck!
14 + 19 = 313
25 + 13 = 328
7 + 18 = 235
10 + 40 = ?
Answers
Answer:
540
Step-by-step explanation:
since that the first is 14+19 and they are just adding 4+9 which is 13 so, the last is just a 3, and 1+1 is 2, plus the 1 that we have from the 13, then, you just add 1 on the Middle.
With 25+13 also you add normally, just add a 2 on the middle. And With the 3rd one add a 3 on the middle. So, with the last one, you add a 4 too.
Can somebody please plot the linear relationship?
Answers
Answer:
First, we put a point on y-axis = 2
Next, we go 2 spaces down and 1 space right
Then draw a line attaching the two points
Answer:
we put a point on y-axis = 2
we go 2 spaces down and 1 space right
Then draw a line attaching the two points
3 + 5x-2
I’m trying to combine like terms
Answers
Answer:
1 + 5x
Step-by-step explanation:
Like terms are terms with the same variable parts.
Let's look at each term:
3 it has no variable
5x it has the variable x
-2 it has no variable
The terms 3 and -2 have no variables, so their variable parts are the same. They are like terms and can be combined. The term 5x has the variable part x. There is no other term with the same variable part as 5x, so 5x cannot be combined with anything.
3 + 5x - 2 =
= 3 - 2 + 5x
= 1 + 5x
3 and -2 are like terms