Answers
Answer:
a) [tex]( -[/tex]∞[tex], -\frac{4}{3}[/tex][tex])[/tex] ∪ [tex](-\frac{4}{3}[/tex] , ∞[tex])[/tex]
b) [tex][-\frac{5}{2} ,[/tex] ∞)
Step-by-step explanation:
The domain of a function is known as the input. We need to find whatever set of numbers can be plugged into every x of a function so that the result is a real number.
a) This problem is a fraction alone, so we need to find out what input of x will make the denominator zero - that will be the number we "skip" when writing out the domain. This is because if the denominator were zero, then it would be 1 divided by 0, which would be undefined and therefore not a real number.
To find this number, we can just take the denominator and solve for x:
[tex]3x + 4 = 0[/tex]
[tex]3x = -4\\x = -\frac{4}{3}[/tex]
Therefore [tex](-[/tex]∞, [tex]-\frac{4}{3}[/tex]) ∪ [tex](-\frac{4}{3},[/tex] ∞[tex])[/tex] is our answer.
b) This problem is just a square root alone, so we need to find out what input of x will make the number inside the square root negative - that number, and the numbers less than it, will be the numbers that we "skip." This is because if the number inside the square root was negative, then it would produce an imaginary answer and not a real one.
A simple trick to find the domain would be to set the terms inside the square root greater than or equal to 0 then solve for x:
[tex]2x + 5\geq 0 \\2x \geq -5\\\\x \geq \frac{-5}{2}[/tex]
Thus, the domain would be any number greater than or equal to [tex]-\frac{5}{2}[/tex], which in interval notation would be written [tex][-\frac{5}{2} ,[/tex] ∞).
Related Questions
please help me with these three questions, i'll give brainliest
Answers
Answer:
The result would be 0 (zero)
Step-by-step explanation:
Okay so it is kind of difficult to explain with words but I will try to make it simple, so you could start with each number first.
What I mean by that is graph it like it says first, starting with -9 and then go four spaces to the right and then five more spaces to the right.
Next, Start four spaces to the right then go five more spaces right and then go nine spaces to the left.
And lastly, start five spaces to the right and go nine spaces to the left and then go four spaces to the right. H
Hopefully this is what you were looking for!
(-1/2 + 5/2) + a =0 solve for a
Answers
Answer:
a = -2
i hope this helps
Answer: a = - 2
Step-by-step explanation:
[tex]\bigg (-\dfrac{1}{2} +\dfrac{5}{2} \bigg )+ a=0\\\\ \dfrac{4}{2} +a=0\\\\2+a=0\\2+a-2=0-2\\a=-2[/tex]
Can someone help me with question 12A please? Thank you!
Answers
Answer:
Step-by-step explanation:
SOORY
Which of the following shapes is a parallelogram that always has four congruent sides?
rhombus
trapezoid
rectangle
kite
square
Answers
Answer:
Square and Rhombus
Sorry for being late
A school library has 160 DVDs in its collection. Given that 45% of the DVDs are about science and 40% are about history, how many of the DVDs are about other subjects?
Answers
Answer:
24 DVDs
Step-by-step explanation:
45% of 160 = 72
40% of 160 = 64
72+64=136
160-136=24
24 DVDs
Mrs.Jones cuts an apple into eights. She eats 3/8 and give her son and daughter the rest
Answers
Answer:
i don't know what the rest of the question is, but she gives her kids 5/8 of an apple
Step-by-step explanation:
Find the height of a cone with a diameter of 12 m whose volume is 226 m^3.
Use 3.14 for it and round your answer to the nearest meter.
A. 5 m
B. 2 m
C. 19 m
D. 6 m
Answers
Answer:
D. 6m
Step-by-step explanation:
Ap3x
The height of a cone with a diameter of 12 m whose volume is 226 m^3 is 6 m
What is the cone of a height?The height of a cone is calculated using the formula:
h = 3V/πr 2
Where h = height of the cone
V = volume of the cone
r = Radius of the cone
But note that radius, r = diameter divided by 2
r = 12 ÷ 2 = 6m
Volume = 226 m^3
How to calculate the height of a coneSubstitute the values into the formula
h = 3 × 226 ÷ 3.14 × 6 × 6
h = 678 ÷ 113. 04
h = 6m
Therefore, the height of a cone with a diameter of 12 m whose volume is 226 m^3 is 6m
Learn more about height of a cone here:
https://brainly.com/question/6613758
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-4 + 2m=6 I cant figure this out can someone help me ?
Answers
Answer:
m = 5
Step-by-step explanation:
2x5 is 10
-4 + 10 = 6
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
m=5
Step-by-step explanation:
Anyone know ????? thank you
Answers
Answer:
2/3
Step-by-step explanation:
Solve for y.
3.23(y – 18) - 19.17 = -19.17
у = ?
*please explain to me, step by step, how you got the answer, too, so I can understand.
Answers
Answer:
y = 18
Step-by-step explanation:
3.23(y – 18) - 19.17 = -19.17
3.23y - 18 x 3.23 = -19.17 + 19.17
3.23y - 58.14 = 0
3.23y = 58.14
3.23y/3.23 = 58.14/3.23
y = 18
2.
M
28°
mZM =
N
L
mZNE
Answers
Answer:
28°
Step-by-step explanation:
..... ....... ..... ...
When a system of linear equations has a
solution.... what am I actually finding when I
solve for x and y?
Answers
Answer:
You are finding the intersection point of the system of linear equations.
Step-by-step explanation:
You can use methods like substitution, elimination, and/or equal values to find the solution for the system of linear equations.
Can someone help me pleas
Answers
= x+2x+16
= 3x +16
answer: 3x + 16 (color it orange lol)
Find the measure of the missing angle.
Answers
Answer:
Hi
U should do like this
90-51=39...
Answer: 39 degrees
Step-by-step explanation:
Right angle is 90 degrees so 51 plus a will equal 90
A is 39 degrees
answer this plz means alot
Answers
Answer:
3x-2 = 7
After that, -2 go in right side like given below:
3x = 7+2
3x = 9
x = 9/3
x = 3.
A triangle has A, B, and C located at(-3, 0). (3, 0), and (0, 4), respectively, on the coordinate plane. The medians of (triangle)ABC intersect
at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.
A. (1.5, 2)
B. (-1.5, 2)
C. (0, 1.3)
D. (0, 0)
Answers
Given:
Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).
To find:
The intersection point of all the medians of the triangle ABC.
Solution:
We know that, intersection point of all the medians of a triangle is called centroid.
The formula of centroid is
[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]
Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).
[tex]Centroid=\left(\dfrac{-3+3+0}{3},\dfrac{0+0+4}{3}\right)[/tex]
[tex]Centroid=\left(\dfrac{0}{3},\dfrac{4}{3}\right)[/tex]
[tex]Centroid=\left(0,1.333...\right)[/tex]
Round each coordinate to the nearest tenth.
[tex]Centroid=\left(0,1.3\right)[/tex]
The coordinates of required point are (0,1.3). Therefore, the correct option is C.
8.73x10^-4 in standard form
Answers
Answer:
here you go I hope this is right
What mistake did Francisca make?
1 point
Francisca is asked to solve the
following equation, Francisca's
work is shown below.
3.5 = ** - 1.5
3.5 = {* - 1,5
+1.5 + 1.5
5 = ***
---
It 풍
Francisca was supposed to add the 1/3, instead of subtracting by 1/3
Francisca was supposed to multiply by 3/1, instead of subtracting by 1/3
Francisca was supposed to divide by 1/3, instead of subtracting by 1/3
Answers
Answer:
Francisca was supposed to divide by 1/3, instead of subtracting by 1/3.
Step-by-step explanation:
She was completing the equation correctly until she subtracted 1/3 instead of dividing both sides. It should have been 5 divided by 1/3 or 15/3 divided by 1/3.
I hope this helps!
find the additive inverse of-9x+3
Answers
Answer:
9x − 3
Step-by-step explanation:
−9x + 3 = −1(−9x + 3) Multiply the expression by −1.
−1(−9x) + −1(3) Distributive Property
9x − 3 Simplify.
The additive inverse of the given expression is 9x-3.
The given expression is -9x+3.
What is additive inverse?The additive inverse of a number is its opposite number. If a number is added to its additive inverse, the sum of both the numbers becomes zero. The simple rule is to change the positive number to a negative number and vice versa.
The additive inverse of the expression is -(expression).
Now, -(-9x+3)
= 9x-3
Therefore, the additive inverse of the given expression is 9x-3.
Learn more about the additive inverse here:
brainly.com/question/24149673.
#SPJ2
If the area of a circle is 25pi (n), what is the radius of the circle
Answers
Answer:
5
Step-by-step explanation:
the are is pi times radius times radius
so do the square root of 25, which is 5.
this means that the radius is 5
Answer:
five (5).
Step-by-step explanation:
Area of circle =pi r^2
given that area is 25pi
now equate both .....we get
25pi=pi r^2
25=r^2
r=5
What is the best description of AB?
Answers
9514 1404 393
Answer:
F altitude
Step-by-step explanation:
AB is perpendicular to triangle base XZ, so is an altitude of the triangle.
__
Additional comment
B is not the midpoint of XZ, so AB is not the median and not a bisector of XZ. Likewise, AB is not the angle bisector of angle A. (The triangle would have to be isosceles for AB to be a perpendicular bisector, median, and angle bisector.)
Eliminating the choices that can't work leaves the one that does work. AB is the altitude.
Answer:
Altitude
Step-by-step explanation:
At pizza pi 6%of the pizzas made last week had extra cheese if 3 pizzas had extra cheese how many pizzas in all were made last week
Answers
Answer:
300
Step-by-step explanation:
I need answers too these two questions pls
Answers
Which statement correctly compares 1/3 and 3/8????
Answers
Dominique paid $15.50 to join an online music service.If she purchases 10 songs each month at a cost of $0.99 per song,what will be the total amount she has spent after 8 months.
Answers
Answer:
94.7
Step-by-step explanation:
15.50+10*0.99*8
What is the value of the expression -48 ÷ (-4)
Answers
Answer:
12
Step-by-step explanation:
Since 48/4=12
But this time all negative
negative*negative=positve
SO it is 12 still
Answer:
12
Step-by-step explanation:
negative divided by a negative makes a positive, -48/(-4) is 12
A washing machine bought on hire purchase terms of a deposit of $768 and 12 monthly payments $74. What is the total hire purchase price
Answers
Answer:
$1656
Step-by-step explanation:
(12*74)+768
(888)+768
1656
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＼( 'ㅅ' ) WE ALL NEED CORONA
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Answers
Answer:
Wow u good and thanks for the points and I love your profile picture
Step-by-step explanation:
Answer:
wE nEeD cRoNa tO DiE
Step-by-step explanation:
How fast is 5,280 feet= 1 mile
in feet per second
Answers
Answer:
10.560
Step-by-step explanation:
you can just use the calculator!
Answer:
62.5 i think... sorry if im wrong
Step-by-step explanation:
i hope this helps :3
To get ready for school supply shopping, a store orders 25,000 folders. The store gets another shipment of 15,250 folders the day before the sale.The store sells 32,400 folders the first day. How many folders does it have left after the first day?
Answers
Answer:
7,850
I’m pretty sure that’s right, I just added 25,000 and 15,250 together then subtracted the answer from 32,400 and got 7,850
