Answers
Answer:
Step-by-step explanation:
a) The domain is R- all real numbers.
b) The domain is R- all real numbers.
c) we need
[tex]x^{2}-4\neq 0\\x^{2} \neq 4\\x\neq 2\\and\\x\neq -2[/tex]
So the domain is R\{-2, 2}
d)
we need
[tex]x^{2}+x-2\neq 0\\x\neq 1\\and\\x\neq -2[/tex]
So the domain is R\{-2, 1}
e)
we need: x-1>0 or x> 1
So the domain is (1,+∞)
Related Questions
Factor x²−16 completely, SHOW STEPS PLEASE
Answers
Answer: (x +4)(x - 4)
Step-by-step explanation: Since x² - 16 represents the difference of two squares, it can be factored as the product of two binomials, one that has a plus in it and one that has a minus in it.
The first position in each binomial is filled by
the factors of x² that are the same, x times x.
The second position in each binomial is filled
by the factors of 16 that are the same, 4 times 4.
The answer therefore is (x + 4)(x - 4).
Consider the quadratic function:
f(x) = x2 – 8x – 9
Answers
Solved in quadratic function
The answer :
X=(9,-1)
Answer:(4,-25)
Step-by-step explanation:
2 Points
What is the surface area of the cube below?
A. 96 units2
B. 64 units2
C. 80 units2
D. 120 units2
Answers
Answer:
A
Step-by-step explanation:
The cube has 6 surfaces with side lengths 4 by 4. Each of the faces has area 4*4=16 units, and multiplying this by 6 yields 96 units, or answer choice A. Hope this helps!
The surface area of the given cube is 96 square units, option A is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The formula to find the surface area of cube is 6s²
Where s is the side length of cube
s=4 from the given cube
Plug in the value of s in surface area formula
surface area = 6(4)²
=6×16
=96 square units
Hence, the surface area of the given cube is 96 square units, option A is correct.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ5
How many solutions does this equation have –3(4x – 16) = 12(24x + 60)
Answers
Answer:
This equation has one solution, and it's at (-2.24,0)
Step-by-step explanation:
When graphed, it results in a vertical line that crosses the x-axis at -2.24. Hope this helps =)
Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and ( 5 8 ) (5,−8)left parenthesis, 5, comma, minus, 8, right parenthesis. Use exact numbers.
Answers
The equation of the line through ( 2 , 1 ) and (5, -8) is y = -3x + 7
The standard equation of a line in slope-intercept form is expressed as
y = mx+b
m is the slope of the line
b is the y-intercept
Given the coordinate points (2, 1) and (5, 8)
Get the slope of the line:
[tex]m=\frac{-8-1}{5-2} \\m=\frac{-9}{3}\\m=-3[/tex]
Get the y-intercept
Recall that y = mx + b
1 = -3(2) + b
1 = -6 + b
b = 1 + 6
b = 7
Get the required equation of the line.
y = -3x + 7
Hence the equation of the line through ( 2 , 1 ) and (5, -8) is y = -3x + 7
Learn more equation of lines here: https://brainly.com/question/17003809
what is the volume of 3cm and 7cm
Answers
Answer:
21
Step-by-step explanation:
what’s the sum of 0.25 and 0.6
Answers
the answer is 0.85
because 25 plus 60
is 85
The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the triangle is 6 centimeters. What is the length of the triangle's other leg?
Answers
Answer: 12.65 cm
Step-by-step explanation:
Use the Pythagoras theorem,
a^2 + b^2= c^2
You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length
c^2 - b^2 = a^2
14^2 - 6^2 = 160
Square root 160 to find the missing length
12.65
Hope this helped :)
tan(-20°) = _____. -tan 20° tan 20° tan (-160°) -tan 160°
Answers
Answer:
-tan 20
Step-by-step explanation:
They have the same answer when typed in a calculator
Y = 3x -1 Y = 2x + 3
Answers
Answer:
x = 4
y = 11
Step-by-step explanation:
You can make the equations 3x - 1 = 2x + 3
x = 4
y = 11
Gavyn can type 2200 words in 40 minutes.
Stephen can type 3850 in 70 minutes.
Richard can type 3000 words in 50 minutes.
Who types at the fastest rate of words per minute?
Answers
Answer:
Richard
Step-by-step explanation:
Gavyn: 55 wpm
Stephen: 55 wpm
Richard: 60 wpm
A 16-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 8 feet from the base of the building. How high up the wall does the ladder reach?
Answers
Answer:
it reaches 24 ft
Step-by-step explanation:
16 + 8 ft = 24 ft
you would add the 16 to the 8 feet from the base to get 24
Predict what will happen to the graph of the function f(x) = xã, if the function
is changed to
f(x) = (x+5).
A. The graph will shift up 5 units.
B. The graph will shift down 5 units.
C. The graph will shift to the left 5 units.
D. The graph will shift to the right 5 units.
Answers
Hope this helps!
If you want a detailed step by step ask me
1
Solve:
-8–2k=-2(k+4)
Answers
Answer:
zero=0
Explanation:
-8-2k=-2(k+4)
-8-2k=-2k-8
-2k+2k=-8+8
zero=0
??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Answers
Answer:
39 homes
Step-by-step explanation:
The fraction of homes is 13/20
We are checking 60 homes
13/20 * 60 = 39
39 homes
HELPPPPPPP ! LOOK AT ATTACHMENT Where does the horizontal asymptote lie for ?
A.
B.
C.
D.
Answers
Answer:
D
Step-by-step explanation:
Alex and Micah scores a total of 40 points in the basketball game. Micah scores four more points than twice Alex's score. How many points did Micah score?
Answers
Answer:
Alex's points are 12 and Micah's are 28.
Step-by-step explanation:
We can solve it in the following way, with "A" being Alex's points and "M" being Micah's points, we have to:
A + M = 40
M = 4 + 2 * A
Replacing 2 in 1:
A + 4 + 2 * A = 40
3 * A = 40 - 4
A = 36/3
A = 12
For M:
M = 4 + 2 * 12
M = 28
Therefore Alex's points are 12 and Micah's are 28.
Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by children. What measure of central tendency would be most appropriate if the data is provided to him?
Answers
Answer: Mode
Step-by-step explanation:
There are three main measures of central tendency: the mode, the median and the mean.
Since the boy has to purchase the brand which is most liked by children, he is using mode.
The mode is the most commonly occurring value in a distribution. That is, the value that occurs most frequently in a set of observations
Point B is located at (4, 12). It is dilated
by a scale factor of 1/2 what is the new order pair for the dilated image .
Answers
Answer:
(2,6)
Step-by-step explanation:
All you do is halve the point (4,12) so it is half of 4 (2) and half of 12 (6), making the new point (2,6)
p^2+p-3=0 need help please
Answers
Answer:
Step-by-step explanation:
It takes my father 3 hours to plow our cornfield with his new tractor. Using the old tractor it takes me 5 hours. If we both plow for one hour before I go to school, how long will it take him to finish the plowing?
Answers
It takes my Father 3 hours to plow the our cornfield with his new tractor.
Using the old tractor it takes me 5 hours.
If we both plow for 1 hour before I go to school,how long will it take him to finish
:
let t = time Dad plows after he goes to school
:
Let the completed job = 1; (a plowed field)
:
A shared work equation
%28%28t%2B1%29%29%2F3 + 1%2F5 = 1
Multiply by 15, results
5(t+1) + 3 = 15
5t + 5 + 3 = 15
5t = 15 - 8
t = 7%2F5
ANSWER
t = 1.4 hrs or 1 + .4(60) = 1 hr 24 more minutes to finish
hope this helps :)
1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas de lo que tengo¿cuanto NO gaste? 2). Si al año que cumpli 10 años le sumamos el año que cumpli 20 , y a este resultado le restas la suma del año en que naci con mi edad actual , obtendremos el año actual ¿cuanto resultara sumar mi edad con el año en que cumplire los 30 años y restarle el año en que cumplire los 40 años? AYUDA CON PROCEDIMIENTO PARA ESTOS DOS EJERCICIOS POR FAVOR
Answers
Answer:
1. The amount that was not spent is: 1080 soles
2. The answer is 5.
Step-by-step explanation:
Question 1. There are two situations:
If you spent 5/8 of the money then notice, that u did not spend 3/8.
If you spend 2/5 of the money, then you would have 72 more.
So think, this equation:
3/8x + 72 = 2/5x
2/5 of the money is the value for what you did not spend plus 72, the amount you would have, where x is the answer for the total of money.
72 = 2/5x - 3/8x
72 = 1/40x
x = 2880 soles
As you did not spend 3/8 of 2880, the answer is 1080 soles
Notice that if u spent 2/5 of 2880, you would have 1152 soles, so, the 1080 + 72, as the problem said.
Question 2.
We think letters for this excersise.
N = My born year
2020 (this year) - N = E (my age, now)
So N + 10 = when I get 10 years old
N + 20 = when I get 20 years old
N + 30 = when I get 30 years old
N + 40 = when I get 40 years old
The problem says:
(N+10) + (N+20) - (N+E) = 2020
((N+30)+E) - (N-40) = X
So if 2020 - N = E, then notice that 2020 - E = N. Let's replace this in the equation form:
((2020-E)+10) + ((2020-E)+20) - ((2020-E)+E) = 2020
No minus in the first two terms, so we can break the ( )
2020-E+10 + 2020-E+20 - ((2020-E)+E) = 2020
We apply the distributive property for the second term
2020-E+10 + 2020-E+20 - 2020+E-E = 2020
We can cancel two E, and the 2020, so the new form will be:
2020 - 2E + 30 = 2020
We can also cancel the 2020, so if we reorder the equation, we have:
-2E = -30
E = 15 That's my age, so my born's year is 2020 - 15 = 2005 (N)
Look:
(2005 + 10) + (2005+20) - (2005+15) = 2020
So now, the last part
((2005+30)+15) - (2005+40) = 5
Maris put trim around a mirror that is the shape of a square. Each side is 24 inches long. Maria has 1 foot of trim left. What was the length of the trim when she started? Write your answer in yards
Answers
Answer:
16.028 yards
Step-by-step explanation:
1 inch=0.0833333 foot
24 inches=0.0833333×24
=1.9999992 foot
The mirror is square shaped and each side is 24 inches
If each 24 inches=1.9999992 foot
Then,
4 sides of 24 inches=1.9999992×24
=47.9999808 foot
Maria has 1 foot of trim left
Total Length of trim when she started=47.9999808+0.0833333
=48.0833141 foot
=16.02777136667 yards
Approximately,
16.028 yards
Four students do not come to school one day. This is of 1/6 the total number of students in the class. How many total students are there in the class?
Answers
Answer:
There are 24 students in the class.
Step-by-step explanation:
If four students are 1/6 of the class, you need to multiply 4 times 6 to get 24.
Help (＞﹏＜)
A refrigerator has a volume given by the trinomial y^3 - 2y^2 – 35y. What are the possible dimensions of the freezer? Use factoring. Recall that the formula for the volume of a rectangular solid is V= Iwh where V= volume, I= lenght, w= width, and h= height.
A. y, y + 5, and y - 7
B. y, y - 5, and y - 7
C. y, y + 5, and y + 7
D. y, y - 5, and y + 7
Answers
Mr. Tuyen uses 3 4 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 3 weeks? Enter your answer as a fraction and as a mixed number.
Answers
Answer:
[tex]\frac{9}{4}[/tex] or [tex]2\frac{1}{4}[/tex]
Step-by-step explanation:
If Mr. Tuyen used 3/4 of a tank in a week, then in three weeks, he would use that same amount times three.
So: [tex]\frac{3}{4}[/tex] x 3 = [tex]\frac{9}{4}[/tex]
Hope this helps :)
mark has a friend named Chole how different are marks and chole DNA ?
Answers
Answer:
xx vrs. xy chromosomes in their genetics
Two student fill the fish tank with.The fish hold 4gallon of water the-students each has a measuring cup.How many times do the student need to fill the one cup measured To get 4gallon?
Answers
there are 16 cups in a gallon so 16 times 4
The circumference of a circle with a radius of 2 meters is approximate by the perimeter of an inscribed polygon with 10 sides. Which expression gives the described approximation of the circumference?
Answers
Answer: The correct answer is A
Step-by-step explanation:
Find the area of the following parallelogram
Answers
Answer:
3.375 cm²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 2.25 and h = 1.5, thus
A = 2.25 × 1.5 = 3.375 cm²
Answer:
Step-by-step explanation:
A = base * height
= 2.25 * 1.5 = 3.38 cm^2 (ANS)
