Answers
Answer: e. x≠2 f. x≥-1/2
Step-by-step explanation:
Domain is basically the x value of a function.
----------------------------------------------------------------
Question e.
g(x)=5/(2-x)
First, keep in mind, the denominator of a fraction can not be zero or else it will be undefined.
Since x is in the denominator: 2-x≠0
2-x≠0
x≠2 Yes, this is the domain----------------------------------------------------------------
Question f
h(x)=√(2x+1)
For a standard square root, the value inside can't b negative
So 2x+1≥0
2x≥-1
x≥-1/2 Yes, this is the domainHope this helps!! :)
Please let me know if you have any question
Related Questions
Solve the equation below for the variable "x". *
- 2x + 10 = 8
Answers
Answer:
x = 1
Step-by-step explanation:
Subtract 10 from 8 to get -2. Then divide -2x by itself so it will cancel out. Whatever you do to one side of the equation, do to the other so divide -2 by -2 to get your answer of 1
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]-2x+10=8[/tex]
So let's solve this equation.
So first, we're gonna have to minus 10 from both sides of the equation.
[tex]-2x+10-10=8-10[/tex]
Now let's turn this into a fraction and divide by -2
[tex]\frac{-2x}{-2} =\frac{-2}{-2}[/tex]
[tex]x=1[/tex]
So now we have our answer!
Hope this Helps!
Please help me check my work. Question: A square field has an area of 479 ft². What is the approximate length of a side of the field? Give your answer to the nearest foot. My answer: 22. This is because the square root of 479 is 21.88606862823929. So the answer would be about 22.
Answers
yeah this is just about right
The students at Woodward Elementary voted for a school mascot. The falcon won with 58 of the votes and the eagle came second with 13 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle?
Answers
Answer:
67 students voted for the eagle
Step-by-step explanation:
The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle
Total students who voted = 536
Falcon won with 5/8 of the votes
5/8 of 536
=5/8 × 536
= 2,680/8
= 335 votes
Falcons won with 335 votes
Remaining votes = Total votes - falcons votes
= 536 - 335
= 201 votes
There are 201 votes remaining
Eagle came second with 1/3 of the remaining votes
1/3 of the remaining votes
= 1/3 × 201
= 201/3
= 67 votes
67 students voted for the eagle
Which input value produces the same output value for the two functions on the graph? x = −1 x = 0 x = 3 x = 4
Answers
The intersection point of both graphs is a common point for both functions, for which for the same input value, both functions will have the same output value.
so
the point of intersection is
for an input value equal to
the output value for both functions is
therefore
the answer is the option
X= 4
Answer:
D. x=4 did the test on edge
Step-by-step explanation:
How do you find a line tangent to another line?
Answers
Answer:
Step-by-step explanation:
1) Find the first derivative of f(x). 2) Plug x value of the indicated point into f '(x) to find the slope at x. 3) Plug x value into f(x) to find the y coordinate of the tangent point. 4) Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line.
What is the image of the point (-9,3) after a rotation of 180° counterclockwise
about the origin?
Answers
Answer:
(9, - 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , thus
(- 9, 3 )→ (9, - 3 )
Ellie runs 5/6 mile in 10 minutes. What is Ellie's speed in miles per minute?
Answers
Answer:
1/12 mi/min = 0.083 mi/min
Step-by-step explanation:
From the question given above, we obtained the following information:
Distance (d) = 5/6 mile
Time (t) = 10 mins
Speed (S) =?
Speed is simply defined as the rate of change of distance moved with time. It can be represented mathematically by the following equation:
Speed (S) = Distance (d) / time (t)
S = d/t
With the above formula, we can calculate Ellie's speed as follow:
Distance (d) = 5/6 mile
Time (t) = 10 mins
Speed (S) =?
S = d/t
S = 5/6 ÷ 10
S = 5/6 × 1/10
S = 5/60
S = 1/12 mi/min = 0.083 mi/min
Therefore, Ellie's speed is 1/12 mi/min.
Ellie speed in miles per minute is 1 / 12
Speed:Speed is a scalar quantity with only magnitude and no direction. Speed measures how fast an object is in motion.
Speed is represented mathematically as follows:
speed = distance /time
Ellie covers 5/6 miles in 10 minutes. Therefore,
distance = 5/6 miles
time = 10 minutes
Speed = [tex]\frac{\frac{5}{6} }{10}[/tex] = [tex]\frac{5}{6}[/tex] ×[tex]\frac{1}{10}[/tex] = [tex]\frac{5}{60}[/tex] = [tex]\frac{1}{12}[/tex] miles per minutes
learn more on speed here: https://brainly.com/question/17426617?referrer=searchResults
Of you add 7 to 3 times the no. you will get 31 . What are the two no.
Answers
31 - 7 = 24
3 x 8 = 24
Answer:
8
Step-by-step explanation:
which one is a irrational number and why ?
Answers
Answer: Option A, the square root of 40, is an irrational number.
Step-by-step explanation:
We are given 4 options:
- the sqrt of 40
- the sqrt of 49
- the sqrt of 100
- the sqrt of 9
All but one are perfect squares. Let's find out which one is not a perfect square.
The sqrt of 49 is 7. 7 times 7 is equal to 49.
The sqrt of 100 is 10. 10 times itself is equal to 100.
The sqrt of 9 is 3. 3 times 3 is equal to 9.
What about the square root of 40?
We know it's not a perfect square, and it's somewhere between 6 and 7. So, the hint from the question tells us that imperfect squares are irrational. Then this must be the answer!
Answer:
A. √40
Step-by-step explanation:
√49 = 7
√100 = 10
√9 = 3
but,
√40 = 6.32455532, so this is immperfect square
help due soon......
Answers
Answer:
Step-by-step explanation:
let x=1.8888...
10x=18.8888...
10x-x=18.8888...- 1.8888...
9x=17
x=17/9
So 1.8888... is equal to 17/9
Answer:
1,888 is equal [tex]\frac{17}{9}[/tex]
Step-by-step explanation:
x = 1,888...
10x = 18,88...
10x - x = 18,88 - 1,88
9x = 17
x = [tex]\frac{17}{9}[/tex]
3 out of 4 divided by 1 out of 16 fraction
Answers
Answer:
12
Step-by-step explanation:
Given
[tex]\frac{3}4}[/tex] ÷ [tex]\frac{1}{16}[/tex]
Leave the first fraction, change division to multiplication and turn the second fraction upside down, that is
[tex]\frac{3}{4}[/tex] × [tex]\frac{16}{1}[/tex] ← cancel 4 and 16 by 4
= [tex]\frac{3}{1}[/tex] × [tex]\frac{4}{1}[/tex] = [tex]\frac{4(3)}{1(1)}[/tex] = [tex]\frac{12}{1}[/tex] = 12
what are the variables of 3a2bc
Answers
Step-by-step explanation:
is there a picture to the question it would help with the question
PLEASE HELP ME I NEED THIS BY TONIGHT!!!! Ed Moura has $85000 invested in stocks paying 5%. How much additional money should he invest in certificates of depositing paying 2% so that the average return on the two investments is 3%?
Answers
Answer:
$170,000
Step-by-step explanation:
(1.05(85000))+1.02x=1.03(85000)+1.03y
honestly not sure but it's the best I got
1/4 (12x - 20) = -70
Answers
Divide each term in the bracket by 4:
=
3
x
−
2
Explanation:
Multiplying by
1
4
is the same as dividing by 4. - You are finding a quarter of something.
To find a quarter of the bracket, divide each coefficient by 4.
You will get two unlike terms so you will not be able to simplify them.
This is the reason why you cannot simplify inside the original bracket either.
Step-by-step explanation:
7 1/3 in its simplest form
Answers
Answer:
7 1/3
Step-by-step explanation:
7 1/3 is the simplest form, since you can't divide it anymore. However, if you're talking about improper fractions, then it would be 22/3.
Answer:
[tex]\frac{22}{3}[/tex]
Step-by-step explanation:
Change 7 1/3 into a mixed number: 7 × 3 = 21, 21 + 1 = 22Put 22 over 3:[tex]\frac{22}{3}[/tex]need help with these questions
Answers
Answer:
for question no 4
answer is 53
for question no 5
answer is -10
[9(7-3)+13] - [11-(6+9)]
[9(4)+13] - [11-15]
[36+13] - [-4]
49- (-4)
49+4
ANSWER 53
#5
-4+(2-5)+[-(-3)]
-4+(-3)+3
ANSWER -4
What’s the value of 5•5•5•5•5•5•5•5
Answers
Answer:
390625 or it could be 5⁸
Step-by-step explanation:
It could be either of those depending on the answer needed
Answer: is this about exponents. if yes then its 5 to the eighth power
Step-by-step explanation:
Which expression is equivalent to 2(m − 5) + 6?
Answers
Answer:
2m-4
Step-by-step explanation:
Answer:
2m-4
Step-by-step explanation:
Simplify: 3x2 - 4x - 5x2 + 8x A) -2x2 - 12x B) -2x2 + 4x C) -2x2 + 12x D) 8x2 - 12x
Answers
Answer:
3x^2-4x-5x^2+8x.
which is collect like terms.
3x^2-5x^2-4x+8x.
-2x^2+4x.
The answer is option B
A cylinder has a height of 20cm. The diameter of the cylinder is 3 10 its height. Calculate the volume of the cylinder in terms of π.
Answers
it would be 13.96 for the volume
12 14 22 14 18 23 42 13 9 19 22 14
what is the mean
Answers
Answer: 18.5
Step-by-step explanation:
The way to find the mean of a data set is to add up all the values and then divide by the number of data points.
First add up all of the values. 12+14+22+14+18+23+42+13+9+19+22+14=222.
Now count how many data points there are. There are 12 data points.
Finally, divide the sum you got by the number of data points. 222/12=18.5
karen has 120. if she saves 24 per week, how many weeks will it take her to have a total of 312
Answers
Answer:
13 weeks
Step-by-step explanation:
312/24=13
7. M is between L and N. LN=365 & ML=73. What is the value of MN?
Answers
Answer:
MN = 292
Step-by-step explanation:
Given that M is between L and N then
MN = LN - ML = 365 - 73 = 292
Combine Like terms:
-6 + y - (-10y)
Answers
Answer:
Step-by-step explanation:
-6 + y + 10y
= 11y - 6
Answer:
-6+11y or 11y-6
Explanation:
Since there is a - in front of the parentheses it wants you to multiple by -1, which will be equal to 10y. 10y+y=11y. After this, you would add the -6, or subtract 6 from that.
Help please how do I solve for k
Answers
What is the numerical value of 123.45
Answers
123.45 = 12345 × 10−^2
Answer:
12345([tex]10^{-2}[/tex])
Step-by-step explanation:
To do this you would just multiply 123.45 by 100 so you have no decimals and you would get 12345 and then since is goes up by 100 you would get [tex]10^{-2}[/tex] because you would take 2 decimal places from that so you would get
12345([tex]10^{-2}[/tex]) as your answer
Find the solutions of the quadratic equation 3x2 - 4x + 4 = 0
Answers
Answer:
No real solution
Step-by-step explanation:
[tex]3x^2-4x+4=0\quad\implies\quad a=3\,,\quad b=-4\,,\quad c=4\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\cdot3\cdot4}}{2\cdot3}=\dfrac{4\pm\sqrt{-32}}{6}[/tex]
There is no solution in real number as it's no real √[-32]
{solutins in complex numbers would be: [tex]x_1=\frac{4+4\sqrt{2}\,i}{6}=\frac{2+2\sqrt{2}\,i}{3}\\ x_2=\frac{2-2\sqrt{2}\,i}{3}[/tex] }
Can you please help me so I can get a better understanding? h(n)=3n, Find h(6)
Answers
Answer:
18
Step-by-step explanation:
So we have the function:
[tex]h(n)=3n[/tex]
And we want to find h(6).
To do so, simply substitute 6 for n. In other words:
[tex]h(n)=3n\\h(6)=3(6)[/tex]
Multiply:
[tex]h(6)=18[/tex]
So, our answer is 18 :)
Answer:
h(6) = 18
Step-by-step explanation:
To evaluate h(6), substitute n = 6 into h(n) , that is
h(6) = 3(6) = 18
terry ate 4 less cookies than jack. alvin ate four times as many cookies as terry. if x represents the number if cookies that jake ate, what could represent the number of cookies that alvin ate ?
Answers
Answer:
Alivin= 4(x-4)
Step-by-step explanation:
2x / 2x is equals to?
Answers
2x divide by 2x = 1
— —
2x divide by 2x 1
which equals to 1