find the domain of f(x) = 3x + 5
Answers
Answer:
All real numbers
Step-by-step explanation:
All real numbers: f(x) is defined for all values of x. There are no discontinuities or places where f(x) is undefined. f(x) is just a straight line going to infinity.
Answer:
(-infinity, infinity), or all real numbers
Step-by-step explanation:
If you were to look at it graphically, it would be a linear function with a slope of 3 and shifted up 5 units. (i attached a screenshot of what the graph would look like at the bottom :)
since there are no domain restrictions, you're not really going to have any issues or gaps which is when you might need to do something like
(-infinity,4] u(5,inifinity) --> since this isn't the case though, you're totally free to just write all real numbers, because all real numbers in the x-plane (as that is what domain looks at) are included.
When all else fails, (at least for homework), desmos is great for graphing and looking at everything visually
Hope that helps! lmk if you have any questions :)
Related Questions
A game involves a spinner that is evenly separated into four sections. To play the game, a player spins the spinner three times. What is the number of individual outcomes when spinning the wheel three times
Answers
Answer:
Step-by-step explanation:
4 Section on the spinner and three spins:
4^3=64
The number of individual outcomes when spinning the wheel three times is 64 times
What is power in mathematics?In mathematics, a base number raised to an exponent is referred to as a power. The base number is the factor that is multiplied by itself, and the exponent indicates how many times the base number has been multiplied.
A power exists as the product of multiplying a number by itself. Usually, power is illustrated with a base number and an exponent. The base number tells what number exists being multiplied. The exponent, a small number written beyond and to the right of the base number, tells how many times the base number exists being multiplied.
Given
Sections = 4
no. of spinners per player = 3
no. of spinners per player per game = 4 ³ = 4 * 4 * 4 = 64
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(x^2y+e^x)dx-x^2dy=0
Answers
It looks like the differential equation is
[tex] \left(x^2y + e^x\right) \,\mathrm dx - x^2\,\mathrm dy = 0[/tex]
Check for exactness:
[tex]\dfrac{\partial\left(x^2y+e^x\right)}{\partial y} = x^2 \\\\ \dfrac{\partial\left(-x^2\right)}{\partial x} = -2x[/tex]
As is, the DE is not exact, so let's try to find an integrating factor µ(x, y) such that
[tex] \mu\left(x^2y + e^x\right) \,\mathrm dx - \mu x^2\,\mathrm dy = 0[/tex]
*is* exact. If this modified DE is exact, then
[tex]\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \dfrac{\partial\left(-\mu x^2\right)}{\partial x}[/tex]
We have
[tex]\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu \\\\ \dfrac{\partial\left(-\mu x^2\right)}{\partial x} = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu \\\\ \implies \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu[/tex]
Notice that if we let µ(x, y) = µ(x) be independent of y, then ∂µ/∂y = 0 and we can solve for µ :
[tex]x^2\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} - 2x\mu \\\\ (x^2+2x)\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} \\\\ \dfrac{\mathrm d\mu}{\mu} = -\dfrac{x^2+2x}{x^2}\,\mathrm dx \\\\ \dfrac{\mathrm d\mu}{\mu} = \left(-1-\dfrac2x\right)\,\mathrm dx \\\\ \implies \ln|\mu| = -x - 2\ln|x| \\\\ \implies \mu = e^{-x-2\ln|x|} = \dfrac{e^{-x}}{x^2}[/tex]
The modified DE,
[tex]\left(e^{-x}y + \dfrac1{x^2}\right) \,\mathrm dx - e^{-x}\,\mathrm dy = 0[/tex]
is now exact:
[tex]\dfrac{\partial\left(e^{-x}y+\frac1{x^2}\right)}{\partial y} = e^{-x} \\\\ \dfrac{\partial\left(-e^{-x}\right)}{\partial x} = e^{-x}[/tex]
So we look for a solution of the form F(x, y) = C. This solution is such that
[tex]\dfrac{\partial F}{\partial x} = e^{-x}y + \dfrac1{x^2} \\\\ \dfrac{\partial F}{\partial y} = e^{-x}[/tex]
Integrate both sides of the first condition with respect to x :
[tex]F(x,y) = -e^{-x}y - \dfrac1x + g(y)[/tex]
Differentiate both sides of this with respect to y :
[tex]\dfrac{\partial F}{\partial y} = -e^{-x}+\dfrac{\mathrm dg}{\mathrm dy} = e^{-x} \\\\ \implies \dfrac{\mathrm dg}{\mathrm dy} = 0 \implies g(y) = C[/tex]
Then the general solution to the DE is
[tex]F(x,y) = \boxed{-e^{-x}y-\dfrac1x = C}[/tex]
what are the ways to name the plane Q?
Answers
9514 1404 393
Answer:
(f) Plane CEA or Plane CAD
Step-by-step explanation:
The name must include three points that are in the plane and not all on the same line. That is, the name will not include either of points B or F, and must include point C. The only names listed that are appropriate are ...
Plane CEA or Plane CAD
write two ratios that are equivalent to 1:1
Answers
Answer:
2:2 3:3
Step-by-step explanation:
Identify the segment bisector of RS.
12
S
R
M
OMS
RM
6
OS
O lines
The length of RS is O
Answers
Answer:
s
RS = 24
Step-by-step explanation:
A bisector, in mathematics, is a two-dimensional line or line segment that divides another two-dimensional shape in half. In this case, as per the given drawing line (s) divides the line (RS) in half. This is indicated by the two small red lines on either side of the line (s) on the line (RS), signifying that the two segments are congruent. Thus, proving that line (s) bisects line (RS).
The length of line (RS) is is twice the length of line (RM), thus line (RS) is (24).
2. Write an equivalent
ratio by multiplying:
3
5
Answers
Answer:
The given ratios 3: 5 and 15: 25 are equal. Because when you divide the ratio 15: 25 by 5 on both numerator and denominator, the first ratio 3: 5 can be obtained. Similarly, when you multiply the first ratio 3: 5 by 5, the ratio 15: 25 can be obtained.
Please mark as brainliest thanks!
Write a inequality please help.
a number is at least -43
Answers
Answer:
x≥ -43
Step-by-step explanation:
at least means greater than or equal to
Let x be the unknown number
x≥ -43
(7 ten thousand 5 hundreds) x 10
Answers
Answer:
The answer is 705,000
Step-by-step explanation:
pls mark brainlest
The value of (7 ten thousand 5 hundreds) x 10 is 705,000.
Here,
The written expression is,
(7 ten thousand 5 hundreds) x 10
We have to find the value of given written expression.
What is Mathematical expression?
Mathematical expression is a finite combination of symbols that is well-formed according to the rules.
Now,
The written expression is,
⇒ (7 ten thousand 5 hundreds) x 10 = 70, 500 x 10 = 705,000
Hence,
The value of (7 ten thousand 5 hundreds) x 10 is 705,000.
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!!PLEASE HELP!!! FOR 30 POINTS
According to the graph of the rational function
y= 4/x^2-4
which of the following statements is/are true?
I. The function is even
II. The function is increasing for all values in the domain
III. There is a horizontal asymptote along the x-axis,
I only
I and II only
I and Ill only
I, II and III
Answers
9514 1404 393
Answer:
I and III only
Step-by-step explanation:
The graph is symmetrical about the y-axis, so is an even function.
The function is decreasing in the 1st quadrant, so is not increasing everywhere.
The values of the function approach y=0 for extreme values of x, so the graph shows that as a horizontal asymptote.
I and III only
Write an expression for
the sum of 6 and 4.
Answers
Answer:
6 + 4
Step-by-step explanation:
Using the keywords:
Sum of, we know that it means for us to add.
(4,2),(-6-6) what’s the answer
Answers
Answer:
what are we finding
Are we to derive an equation of a straight line
From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
Answers
Explanation:
If you plug in 6(2+40)= 252
Using PEMDAS, solve in the parentheses first! which will be 42.
6(42)=252
6 x 42 = 252
making x=2 because plugging in x makes this equation true
252= 252
−8 = 32, please show how to solve this problem. Thank you
Answers
Step-by-step explanation:
here,
-8=32
-8/2=32/2
-4=16
-(2)^2=(4)^2
-2=4
1/3 of the pencils in a jar are red and the remaining 10 are green. How many are red.
Answers
Answer:
There are 5 red ✎ pencils
Step-by-step explanation:
fraction of green pencils:
[tex] = 1 - \frac{1}{3} \\ \\ = \frac{2}{3} [/tex]
let total pencils be x :
[tex] \frac{2}{3} \: of \: x = 10 \: green \: pencils \\ \\ \frac{2}{3} \times x = 10 \\ \\ 2x = 3 \times 10 \\ x = \frac{3 \times 10}{2} \\ \\ x = 15 \: pencils[/tex]
Total pencils = 15
Red pencils:
[tex] = 15 - 10 \\ = 5 \: pencils[/tex]
Which expression has the same value as 97.6 – (-77.8)?
77.8 + (-97.6)
97.6 – 77.8
Submit Answer
0–77.8 – 97.6
97.6 + 77.8
Answers
Answer:
97.6 + 77.8
Step-by-step explanation:
97.6-(-77.8)
= 97.6+77.8
97.6+77.8= 175.4
97.6-(-77.8) = 175.4
plz help me do this thanks
Answers
The only information given is that DMH is an obtuse angle and would be greater than 90 degrees and would be no more than 180 degrees because it’s half the circle and angle DMB would be added to DMH to make 180 degrees. Because no other angle measures are given, there isn’t a way to find the degree measure.
what is the greatest common factor of 97 and 24?
Answers
Answer:
1
Step-by-step explanation:
The GCF of 24 and 97 can be obtained like this:
The factors of 24 are 24, 12, 8, 6, 4, 3, 2, 1. The factors of 97 are 97, 1. The common factors of 24 and 97 are 1, intersecting the two sets above. In the intersection factors of 24 factors of 97, the greatest element is 1. Therefore, the greatest common factor of 24 and 97 is 1.A sofa is on sale for $442, which is 85% of the regular price.
Answers
X*0.85 =442$ /0.85
X = 442$/0.85
X = 520$
Regular price is:520$
[tex]\frac{442}{x} = \frac{85}{100} \\85x = 44200\\x = \frac{44200}{85} = 520[/tex]
Original price is 520
if a= 2 ,b= 5 and c= 9, find
i) 2a( b+c)
ii) abc
Answers
i) 56
ii) 90
Step-by-step explanation:
i) 2a (b + c) where a = 2 b = 5 and c = 9
2(2) ((5) + (9))
2(2) (14)
(4) (14)
56
ii) abc
(2)(5)(9)
90
Answer:
i).2x2(5+9)
4(14)
4x14=56
ii) 2x5x9=90
Please i need your help to solve this question. I will give the brainliest.
Answers
Step-by-step explanation:
The angle between vectors is given by
[tex]\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|}[/tex]
The magnitudes for the vectors are as follows:
[tex]|\vec{\textbf{a}}| = \sqrt{a_x^2 + a_y^2 + a_z^2}[/tex]
[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 +(-5)^2 + (3)^2} = 6.16[/tex]
[tex]|\vec{\textbf{b}}| = \sqrt{b_x^2 + b_y^2 + b_z^2}[/tex]
[tex]\:\:\:\:\:\:\:= \sqrt{(3)^2 + (1)^2 + (4)^2} = 5.10[/tex]
The dot product between the vectors is
[tex]\vec{\textbf{a}}\cdot \vec{\textbf{b}} = (2)(3) + (-5)(1) + (3)(4) = 13[/tex]
Therefore, the angle between the two vectors is
[tex]\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|} = \dfrac{13}{(6.16)(5.10)}[/tex]
or
[tex]\theta = 65.56°[/tex]
The perimeter of a playing field for a certain sport is 178 ft. The field is a rectangle, and the length is 43 ft longer than the width. Find the dimensions
The width of the playing field is
(Type an integer or a decimal.)
Answers
Answer:
23 and 66 are the dimensions
Step-by-step explanation:
178/2=89
89+43=132
178-132=46
132/2=66
46/2=23
(I think this is the answer I'm so sorry if I am wrong)
19. Convert 10,000 feet per second into kilometers per hour.
A. 12073.2 kilometers per hour
B. 10975.6 kilometers per hour
C. 12000.08 kilometers per hour
D. 13000.08 kilometers per hour
Answers
9514 1404 393
Answer:
B
Step-by-step explanation:
The exact conversion is ...
[tex]\dfrac{10000\text{ ft}}{1\text{ s}}\times\dfrac{3600\text{ s}}{1\text{ h}}\times\dfrac{3.048\times10^{-4}\text{ km}}{1\text{ ft}}=10972.8\text{ km/h}[/tex]
The closest answer choice is B, 10975.6 km/h.
Hi, Can you solve it?
Answers
Answer:
57
Step-by-step explanation:
PLZZZ HELP ME
Solve the equation and check your solution.
1. 3(x+6)=18+3x
2. -2(x-1)=2-2x
3. x+4=-2+x
4. -2(x+2)=5-2x
Answers
Step-by-step explanation:
3(x + 6)
3 × x + 3×6
3x + 18
-2 (x - 1)
-2 × x -2 × -1
-2x + 2
-2 (x + 2)
-2 × x + -2 × 2
-2x - 4
Answer:
3x + 18 = 18 + 3x-2x + 2 = 2 - 2x4 = -2 (the statement is false)-4 = 5 (the statement is false)Find the value of x.
Answers
9514 1404 393
Answer:
x = 50°
Step-by-step explanation:
The angle marked 73° is the average of the arcs marked 96° and x.
(x +96°)/2 = 73°
x = 2(73°) -96° . . . . solve for x
x = 50°
__
Additional comment
Then z = 360° -50° -114° -96° = 100°.
PLS HELP WILL AMRK BRAINLIEST!!!
Answers
Answer:
I would say A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The temp would drop as time goes on
What is the parent function of the graph?
y = |x| + 4
y = |x|
y = |x| – 4
y = |x – 4|
Answers
Answer:
y = |x| – 4
Step-by-step explanation:
If we substitute x as 0, we get -4 therefore this is the answer.
Find the formula for the nth term for the following sequence.
3, 9, 27, 81..
1. A(n) =3(3^n-1)
2. A(n) =3^n-1
3. A(n) =3(3^n)
Answers
Step-by-step explanation:
everything can be found in the picture
Answer:
It is 1. A(n) =3(3^n-1)
Step-by-step explanation:
It is a geometric progression
General recursive formular:
[tex]a_{n} = a( {r}^{n-1} )[/tex]
a » first term, a = 3
r » common difference, r = 9 ÷ 3 = 3
n » number of terms
[tex]A(n) = 3( {3}^{n-1} )[/tex]
______________end_____________________
further more:
[tex]A(n) = {3}^{(n)} [/tex]
the image Of A(a+2b,2a-b) when reflected in the line y=x is A'(b-a,4b-2a). Show that 3a=2b
Answers
Answer:
1vbrbdhrgdvsvdbbd
Step-by-step explanation:
bhegsbdvsvdvdbrbdbr
ddghehrhebfhfhrhd
ehebrnrjrjrnr
dvdbdbfbfbfbtnyn
In the past few seasons' basketball games, Sherial attempted 270 free throws, and made 189 of them. What percent of free throws
did Sherial make?
Answers
Answer:
She made 70% of the free throws.
Step-by-step explanation:
All I did was multiply 270 by percents like 40%, 50%, 60%, 70%, etc. In this case, it would be 270*70% or 270*.70