Step-by-step explanation:
Using the concept of inverse function, it is found that the first graph shows a function whose inverse is also a function.
----------------------------------------
A function f(x) will only have an inverse function if: f(a) = f(b) \leftrightarrow a = bf(a)=f(b)↔a=b , that is, a value of y will have only one respective value of x.
----------------------------------------
In the first graph, for each value of y, there is only one value of x, so the inverse is also a function, and this is the correct option.
In the second graph, for example, y = 0 when x = -1 and when x = 1, so the inverse is not a function.
In the third graph, for example, y = -3 when x = 0 and x = 2, so the inverse is not a function.
In the fourth graph, for example, y = 1 for two values of x, so the inverse is not a function.
please help me, if you help then thanks!
Answer:
The last one is the answer.
Step-by-step explanation:
Inverses are like opposites so [tex]\sqrt{x}[/tex] would be the inverse of [tex]x^{2}[/tex]. However don't be fooled by the second option because that is not the same although it seems like it. The true inverses are [tex]\sqrt[3]{27}[/tex] and [tex]3^{3}[/tex]. 3 cubed is 27 and the cube root of 27 is 3.
A box filled with books weighs 1112 kilograms.
Assume 1 kilogram = 2.20 pounds.
What is the best estimate of the weight of the box in pounds?
20 pounds
25 pounds
30 pounds
I don't know.
Answer:
24.464~20 pounds
Step-by-step explanation:
11.12*2.20
=24.464
24.46=20
Hope this helps :)
The best estimate of the weight of the box in pounds is 2,446.4 pounds.
Given that, a box filled with books weighs 1112 kilograms.
We need to find what is the best estimate of the weight of the box in pounds.
How to convert kilograms to pounds?To convert kilograms to pounds, multiply your kilogram measurement by 2.2.
Given, 1 kilogram = 2.20 pounds
Now, 1112×2.2=2,446.4 pounds
≈2,446
Therefore, the best estimate of the weight of the box in pounds is 2,446 pounds.
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Use the numbers 0 - 9 in the blanks to make the equations true
Answer:
what blanks
Step-by-step explanation:
5-(n-4)=3(n+2)
Please help I’ll give brainliest
Sophia is furniture shopping for her new apartment. She has picked out a bed that costs $1,867, a sofa that is priced at
$3,215, and a dining room table for $1,471. All items include tax. If she wants to get the best estimate for the amount of
money she will need to save to purchase these items, to what place value should she round each item's price?
Answer:
To the thousandth place
Find the value of x and
y if x-y=3 and 2x+3y=4
Answer:
Step-by-step explanation:
Given :
x-y = 3 equation(i)
2x + 3y = 4 equation(ii)
Now,
x - y = 3
x = 3 + y
substitute the value of x in equation (ii)
2x + 3y = 4
2(3 + y) + 3y = 4
6 + 2y + 3y = 4
6 + 5y = 4
y = -2/5
One of the legs of a right triangle measures 1 cm and the other leg measures 17 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
using phythagoras formula of right angles we can calculate the hypotenuse
1^2=x^2+17^2
x^2=17^2-1^2(transpose)
×^2=288 (introduce a square root)
x=15.01(round of to the nearest tenth)
Step-by-step explanation:
x=10
The measure of the hypotenuse is 17.029
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have Pythagoras theorem:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Given;
The legs of a right triangle measures 1 cm
The other leg measures 17 cm
Now,
|AC|^2 = |AB|^2 + |BC|^2
|AC|^2 = |1|^2 + |17|^2
|AC|^2 = 1 + 289
AC=17.029
Therefore, by pythagoras theorem answer will be 17.029.
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Can anyone please explain this question to me?
(2√5+3√6)²
[tex]\displaystyle \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \displaystyle\large \bf( 2 \sqrt { 5 } + 3 \sqrt { 6 } ) ^ { 2 }[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf( 2 \sqrt { 5 } + 3 \sqrt { 6 } ) ^ { 2 }[/tex]
Use the algebraic identify [tex]\sf\left(a+b\right)^{2}=a^{2}+2ab+b^{2} [/tex]to expand [tex]\sf\left(2\sqrt{5}+3\sqrt{6}\right)^{2}[/tex].[tex] \large \sf \: 4\left(\sqrt{5}\right)^{2}+12\sqrt{5}\sqrt{6}+9\left(\sqrt{6}\right)^{2} [/tex]
The square of [tex]\sf\sqrt{5}[/tex] is 5.[tex] \large \sf4\times 5+12\sqrt{5}\sqrt{6}+9\left(\sqrt{6}\right)^{2} [/tex]
Multiply 4 and 5 to get 20.[tex] \large \sf20+12\sqrt{5}\sqrt{6}+9\left(\sqrt{6}\right)^{2} [/tex]
To multiply [tex]\sf\sqrt{5}[/tex] and [tex]\sf\sqrt{6}[/tex], multiply the numbers under the square root.[tex] \large \sf20+12\sqrt{30}+9\left(\sqrt{6}\right)^{2} [/tex]
The square of [tex]\sf\sqrt{6}[/tex] is 6.[tex] \large \sf20+12\sqrt{30}+9\times 6 [/tex]
Multiply 9 and 6 to get 54.[tex] \large \sf20+12\sqrt{30}+54 [/tex]
Add 20 and 54 to get 74.[tex] \large \boxed{\bf12 \sqrt{30} + 74 = 139.72..}[/tex]
You take random sample of 200 people from Salinas and find that their average income is $48,000 per year
with a standard deviation of $9000. Also assume that population incomes are normally distributed.
Approximately how many people make between $39,000 and $57,000?
X
Answer format: Enter a positive integer
We have that The Total Number of People is
[tex]X\approx 137[/tex]
From the question we are told that
sample of 200
income is $48,000 per year
standard deviation of $9000
Generally the equation for the Ratio of people is mathematically given as
[tex]Y=P(\frac{39000-48000}{9000}<z<\frac{57000-48000}{9000})\\\\\Y=P(z<1))-(1-p(z-1))\\\\Y=0.8413-0.1582\\\\\Y=0.6826[/tex]
Therefore
The Total Number of People is
[tex]X=0.6826*200\\\\X\approx 137[/tex]
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how much money is spent on the kids
Answer:
maybe millions till they get older and started making there own money.
Step-by-step explanation:
please mark me brainliestFactor by grouping
6x^2-12x+x-2
factor completely
Maria had $125.35. She bought 5.25 lbs of meat, which cost $6.20 per lb. How much
money will she be left with after paying for meat?
Answer:
$102.80
Step-by-step explanation:
First, find the amount of money she used. To find that, you multiply 5.25 by 6.20 which equals to 32.55. Maria spent $32.55 on meat. Then, subtract 135.35 (her starting amount) by 32.55 (the amount she spent on meat). This equals to 102.80 meaning she has $102.80 dollars left.
Solve for b
-3(6b + 4) = 2(-5b+10)
b=
Answer:
b = -4
Step-by-step explanation:
-3(6b + 4) = 2(-5b + 10)
-18b - 12 = -10b + 20
(-18b + 10b) - 12 = (-10b + 10b) + 20
-8b - 12 = 20
-8b (- 12 + 12) = 20 + 12
-8b = 32
-8b/-8 = 32/-8
b = -4
Answer:
x
Step-by-step explanation:
Evaluate m^2 -4m+2 for m =-2
Answer:
answer is 6
Step-by-step explanation:
m^2 - 4m + 2
-2(2) - 4(-2) + 2
-4 + 8 + 2
-4 + 10
6
What is the next term in the geometric sequence? 1,4,-16,64
Answer:
256
Step-by-step explanation:
1,4,16,64,256
As 4 is being multiplied in each case.
help on bothering please !!!!!reaangie nas perimeter
en
is in bana is with 25.
the value of m
En 182
Hn 224
Gn - 12.2
) -
The area of a rectangle is 134 + 2 square
units. The width is 9. The length is 6.
What is the length?
A 6.5
C 15.5
B 13
D 19
Answer:
6) F
7) B
Step-by-step explanation:
6)
[tex]\boxed{perimeter \: of \: rectangle = 2(length + breadth)}[/tex]
60= 2[½(n -6) +2n +5]
Expand:
60= 2(½)(n -6) +2(2n) +2(5)
60= n -6 +4n +10
Simplify:
60= 5n +4
Minus 4 on both sides:
5n= 60 -4
5n= 56
Divide both sides by 5:
n= 56 ÷5
n= 11.2
Thus, option F is correct.
7)
[tex]\boxed{area \: of \: rectangle = length \: \times breadth}[/tex]
13q +2= 9(q +6)
Expand:
13q +2= 9q +54
Bring q terms to one side, constant to the other:
13q -9q= 54 -2
Simplify:
4q= 52
Divide both sides by 4:
q= 52 ÷4
q= 13
Thus, option B is correct.
Mark all of the statements that are true.
O A. The domain for this function is the set {-5).
I B. The domain for this function is all real numbers.
C. This graph is not a function because the value of y is the same for
every value of x.
D. The range for this function is the set (-5).
I E. All real numbers are in the range of this function.
We have the graph of a function (say f(x)).
We have to determine which of the given statements are correct w.r.t this graph of f(x).
What do you mean by domain and range of a function?The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
According to the question, we have the equation of this line as -
y = -5.
The value of y is constant for every value of x. Therefore, the range of the function is Set → {- 5}.
The function has same value → y= -5 for all values of x, ranging from →
- ∞ to + ∞, Therefore, its domain is the set of all Real numbers.
A function can have same value of y for different values of x.
Hence, Option B and D are correct.
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3 times the difference of a number and 1 is nine more than the same number. Find the number.
Answer: 6
Step-by-step explanation:
3 (x-1) = x + 9
3x - 3 = X + 9
3x - x = 9 + 3
2x = 12
x = 12/2
x = 6
The correct answer will be "n = 6". A complete solution is provided below.
Let,
The number be "n".
According to the question, the expression will be:
→ [tex]3(n-1)=9+n[/tex]
→ [tex]3n-3=9+n[/tex]
By adding "3" both sides, we get
→ [tex]3n-3+3=9+n+3[/tex]
→ [tex]3n=12+n[/tex]
By subtracting "n" from both sides, we get
→ [tex]3n-n=12+n-n[/tex]
→ [tex]2n=12[/tex]
→ [tex]n=\frac{12}{2}[/tex]
→ [tex]n = 6[/tex]
Thus the above is the appropriate answer.
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-6 * -6 + 7 * -6 + 8
Answer:
0
Step-by-step explanation:
The * means multiplication where the ^ means exponents, so you multiply in this case.
-6 * -6 = 36
Two negatives equals a positive.
PEMDAS shows that multiplication and division occurs first so...
7 * -6 = -42
36 + -42 + 8
-8 + 8
= 0
You can search it up to see what PEMDAS is.
What could I say for this question anybody who answers this gets brainlist
Answer ASAP!
List the domain and range of the relation {(7. - 8), (5,5), (0.-8), (5,1) (7.8)}
Lets call the above set of points [tex]L[/tex].
The domain is between minimum and maximum of the x-coords points specified,
[tex]\mathrm{min}(L;x)=0[/tex]
[tex]\mathrm{max}(L;x)=7[/tex]
So domain is [tex]D_L=[\mathrm{min}(L;x),\mathrm{max}(L;x)]=[0,7][/tex].
The range is the same story but you look at y values,
[tex]\mathrm{min}(L;y)=-8[/tex]
[tex]\mathrm{max}(L;y)=8[/tex]
So range is [tex]R_L=[\mathrm{min}(L;y),\mathrm{max}(L;y)]=[-8,8][/tex].
Hope this helps :)
The sum of a rational number and an irrational number is irrational.
ALWAYS
NEVER
SOMETIMES
Proof:
Let
A = some rational numberB = some irrational numberC = some rational number (that isn't necessarily equal to A)We'll show that a contradiction happens if we tried to say A+B = C.
In other words, we'll show a contradiction happens for the form rational+irrational = rational.
Because A and C are rational, we can say
A = p/q
C = r/s
where p,q,r,s are integers. The q and s in the denominators cannot be zero.
So,
A+B = C
B = C - A
B = (r/s) - (p/q)
B = (qr/qs) - (ps/qs)
B = (qr-ps)/(qs)
B = (some integer)/(some other integer)
B = some rational number
But wait, we stated that B was irrational. The term "irrational" literally means "not rational". Irrational numbers cannot be written into fraction form of two integers. This is a contradiction and shows that A+B = C is never possible if A,C are rational while B is irrational.
This must lead to the conclusion that A+B must always be irrational if A is rational and B is irrational.
The template is this
rational + irrational = irrational
rational + rational = rational
please view the image to get a better understanding ..im stressing :((
*please include the work to show what Danielle did wrong
What is the sum of x³ + 5x² – 7 and
5x³ – 3x² + 2x – 1?
Answer:
Daniella didn't do distributive property before she started.
Step-by-step explanation:
([tex]x^{3}[/tex]+5[tex]x^{2}[/tex]-7) + (5[tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x-1)
5[tex]x^{6}[/tex]-3[tex]x^{5}[/tex]+2[tex]x^{4}[/tex]-1[tex]x^{3}[/tex]+25[tex]x^{5}[/tex]-15[tex]x^{4}[/tex]+10[tex]x^{3}[/tex]-5[tex]x^{2}[/tex]-35[tex]x^{3}[/tex]+21[tex]x^{2}[/tex]-14x+7
5[tex]x^{6}[/tex]+22[tex]x^{5}[/tex]-13[tex]x^{4}[/tex]-26[tex]x^{3}[/tex]+16x[tex]x^{2}[/tex]-14x+7
Find the distance between the pair of points on the graph below:
Answer:
the answer is 2 because it is
Someone help please I don’t know how to answer this
Answer:
12e + 6
Step-by-step explanation:
to simplify, just add the like terms which are the values with the same variable
Answer:
12e+6
Step-by-step explanation:
collecting like terms means out all the matching letters together, so 4e + 8e=123.
2. Describe a situation that could be modeled with the ratio 4: 1.
Answer:
u can do something like u have 8 pencils and 2 pens
Step-by-step explanation:
cause two divided by two is four and u only have to divide it once so that how u get that answer
problem in photo 20 characters
Answer:
Step-by-step explanation:
i dont know but work hard
(14 − 7)11 [(4 + 3)2]4 Simply
please help me, if you help then thanks!
Answer:
[tex] \frac{ - 8 {x}^{3} }{ {y}^{4} } [/tex] (first option)
Step-by-step explanation:
[tex] \frac{ - 32 {x}^{5} {y}^{3} }{4 {x}^{2} {y}^{7} } [/tex]
[tex] \frac{ - 8 {x}^{5} {y}^{3} }{ {x}^{2} {y}^{7} } = \frac{ - 8 {x}^{3} {y}^{ 3} }{ {y}^{7} } [/tex]
[tex] = \frac{ - 8 {x}^{3} }{ {y}^{4} } [/tex]
Kakuro is like a crossword puzzle with numbers.
9514 1404 393
Answer:
[[. . 3 6 .][1 3 4 9 .][9 2 . 7 1][. 1 2 8 3][. 4 9 . . ]]
Step-by-step explanation:
It is helpful to remember that the first four digits {1, 2, 3, 4} total 10, and the last four digits {6, 7, 8, 9} total 30. It is also worthwhile to note that the smallest sum of two digits is 3 = 1+2, and the largest sum of 2 digits is 17 = 8+9. Some sums can only be made one way: 4 = 1+3, 16 = 7+9.
Here, we will refer to rows 1-5 from the top down, and columns 1-5 from the left to right.
__
Based on the above, column 5 can only be made one way: 1+3. Column 4 can only be made one way: 9+8+7+6. Then the choices for row 3B will be 1+7 or 5+3. We know it can't be 5+3 because 5 is not part of column 4. This makes our first fill-in (row, column) be (3,4)=7, (3,5)=1, (4,5)=3.
The sum of the remaining cells in row 4 must be 14-3 = 11, and cell (4,4) must be 6, 8, or 9. It cannot be 9, because that would require the remaining two cells to have a sum of 2, which they cannot. So, cell (4,4) is 6 or 8.
Cell (1,4) cannot be 9, either, because we cannot use 0 in cell (1,3). Then the only place for 9 in column 4 is in cell (2,4)=9.
With cell (1,4) being restricted to 6 or 8 (the two remaining numbers in column 4, cell (1,3) must be 3 or 1, and cell (2,3) must be 4 or 6. It cannot be 6 because that would require a sum of 2 in the first two cells of row 2, so (2,3)=4, (1,3)=3, and (1,4)=6. This makes (4,4)=8 and the remaining two cells of row 4 must be 1 and 2. 1 cannot go in (4,3), so we must have (4,3)=2 and (5,3)=9, (5,2)=4, (4,2)=1. That leaves 2 and 3 for rows 2 and 3 of column 2. The first two cells of row 2 must total 4, so must be 1 and 3. Cell (2,2) cannot be 1, so must be 3, leaving (2,1)=1, (3,1)=9, (3,2)=2 and that completes it.
The fill-ins are ...
[. . 3 6 .]
[1 3 4 9 .]
[9 2 . 7 1]
[. 1 2 8 3]
[. 4 9 . . ]
