Answer: Yes, the set of real numbers is closed under addition.
Explanation:
Let x and y be two real numbers. Their sum x+y is some other real number. This is what it means when we say the set of real numbers is closed under addition. Taking any two numbers and adding them will get us some other real number.
There is no way to have x+y be nonreal while x,y are both real.
Which of the following describes h(x)=x^5-2x^3+x?
Answer choice is
A. h is an odd function
B. h is neither odd nor even
C. h is an even function
Answer:
h is an odd funtion
Step-by-step explanation:
this is because h(-x)=h(x)
Answer: A
Step-by-step explanation:
A sum of odd functions is a odd function
Proof:
[tex]h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\[/tex]
For the equation, x - 7 = 24, can a value be substituted for x to make the equation a true number sentence?
Answer:
yes, 31
Step-by-step explanation:
just switch the equation around:
24+ 7 = 31
and then back again:
31- 7= 24
Estimate the value of the following to the tenths decimal place.
Answer:
-12.2
Step-by-step explanation:
-12.247448....
-12.2
plss mark me brainliesttt
What is the constant of variation for y= 2/5x
Answer:
Step-by-step explanation:
This equation is of the form y = kx, where k is the constant of variation. In our case, this is 2/5. One thing that separates a direct variation from simply a line (although a direct variation does in fact represent a line when graphed), is that the graph of a direct variation will ALWAYS go through the origin. That means that it will never have the "+ k" at the end of its equation and its y-intercept is always 0.
If cosine theta equals two over three, what are the values of sin θ and tan θ?
Answer:
what
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 then
sin²x = 1 - cos²x
sin x = ± [tex]\sqrt{1-cos^2x}[/tex]
Given cos θ = [tex]\frac{2}{3}[/tex] , then
sinθ = ± [tex]\sqrt{1-(\frac{2}{3})^2 }[/tex] = ± [tex]\sqrt{1-\frac{4}{9} }[/tex] = ± [tex]\sqrt{\frac{5}{9} }[/tex] = ± [tex]\frac{\sqrt{5} }{3}[/tex]
Also
tanθ = [tex]\frac{sin0}{cos0}[/tex]
= [tex]\frac{\frac{\sqrt{5} }{3} }{\frac{2}{3} }[/tex]
= [tex]\frac{\sqrt{5} }{3}[/tex] × [tex]\frac{3}{2}[/tex] = ± [tex]\frac{\sqrt{5} }{2}[/tex]
2(k+ 4) = 3(k-2)
HELP PLEASE
Answer:
k = 14
Step-by-step explanation:
k = 14 because if you isolatethe variable by dividing each side by factor that dosent contain the variable
Answer:
k=14I'm pretty sure this is the correct answer hope it helps :)
simplify the problem thank you
Answer:
-5
Step-by-step explanation:
(-5)(-5)(-5)=-125
Given the expression:
[tex] \displaystyle \large{ \sqrt[3]{ - 125} }[/tex]
Definition:
[tex] \displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}[/tex]
First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.
[tex] \displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }[/tex]
Because if (-5)^2 = 25 then 25×(-5) again will be -125.
Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,
[tex] \displaystyle \large \boxed{ - 5}[/tex]
find the cube of a+3
Answer:
(a+3)^3
a^3 + b^3 + 3ab [identity : (a+b)^3 )]
a^3+ 3^3 + 3×a×3
a^3 +27+9a
answer : a^3+27+9a
hope it helps you
mrk me braniliest plz
Answer:
[tex] {a}^{3} +9 {a}^{2} +27a+27[/tex]
Step-by-step explanation:
[tex](a + 3 {)}^{3} [/tex]
[tex] {a}^{3} +3 {a}^{2} \times 3+3a \times {3}^{2} + {3}^{3} [/tex]
[tex] {a}^{3} +9 {a}^{2} +3a× {3}^{2} + {3}^{3} [/tex]
[tex] {a}^{3} +9 {a}^{2} +27a+ {3}^{2} [/tex]
[tex] {a}^{3} +9 {a}^{2} +27a+27[/tex]
Hope it is helpful...Tìm nghiệm và vẽ đường thẳng biểu diễn tập nghiệm của nó
a 2x+y=6
Answer:
1111111111111111111111111111111111111111
Step-by-step explanation:
Use #1-9 to identify each property below.
A. ab?.0=0
B. (7 + 5) + 1 = 7 + (5 + 1)
C. 6 = 6
D. 7(x – 3) = 7x - 21
E. x + (-x) = 0
F. if y = 3, then 3 = y
G. (a + b) + 0 = 0 + (a + b)
H. if x = -1, and -1 = z, then x = 2
I, 4x.1=4r
Here we need to see which axioms or properties are used in each case.
A: ab²×0 = 0
Here we have a given number (ab²) times zero, and the outcome is zero. This comes from the existence of zero, which states that there must exist a value that represents nothingness, the zero, such that the product between any number and this one is zero.
B: (7 + 5) + 1 = 7 + (5 + 1)
This is the associative property of addition, which says that we can perform the addition in any order we want.
C: 6 = 6
This is the reflexive property of equality, which says that every number is equal to itself.
D: 7(x – 3) = 7x - 21
This is the distributive property, which says that:
C*(A + B) = C*A + C*B
We can see that if we apply it to the left side we get:
7(x - 3) = 7x - 7*3 = 7x - 21
E: x + (-x) = 0
This is the existence of the opposite number. This property says that for any real number N there exists a real number A such that:
N + A = 0
Particularly, in the real set, we can see that A = -N
G: (a + b) + 0 = 0 + (a + b)
Here we can see that the order changes in the addition, this is the commutative property of the addition, which says that:
A + B = B + A
So the elements in the sum can commute.
H: if x = -1, and -1 = z, then x = z
This is the transitive property, we can apply it in the next way:
x = -1 = z
then x = z
So if both variables are equal to the same number, then the variables are equal.
I: 4x×1 = 4x
This is the existence of the identity with respect to multiplication. It says that there exist a number A such that for any number X, the product between A and X is equal to X:
X*A =X
Particularly, A = 1.
X*1 = X.
If you want to learn more, you can read:
https://brainly.com/question/11232266
Answer:
Step-by-step explanation: I also need help
Product of (×-3)(2ײ-5×+1)
Answer:
The answer is 2x³+15x-6x²-2.
Step-by-step explanation:
(x-3)(2x²-5x+1)
2x³+1-6x²+15x-3
= 2x³-2+15x-6x²
arrange 7 people into group(s) such that a group must have at least 3 people?
7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.
4. Complete the following explanation to show that the sum of two rational numbers a
rational number.
Let a,b,c and d be integers. Let x and y be rational numbers. Consider the following
expression:
* = and y =
The above expressions represent the
If x + y = y + x
represents the
then, we can use the
to show that x +y = 3+. Using the rule for addition of
fractions to write an equivalent expression for x + y = 4+we obtain
The product of two integers results in an integer, so bd, ad and cb are all integers. Also.
since the sum of two integers results in an integer, ad + cb is an integer. Therefore,
xty is
4. Rosa says, “Integers are
whole numbers and their
opposites.” She's correct.
Find the opposites of these
integers: 12, 29
Their opposites are
-12 and -29.
torso panel
Their opposites are
1
and 1.
12 29
torso panel
Answer:
-12,-29Step-by-step explanation:
if it is on a numbering . then write the inverse of the number given eg.1 = -1,2 = -2 etc.
Factor this polynomial completely.
x2 - 81
Wayne plans to replace the ventilating fand in the oldest greenhouse and needs to know its volume. The greenhouse is shaped of a half of a cylinder, Its diameter is 40 feet, Its length is 120 feet, using 3.14 for pi, how many cubic feet does the greenhouse enclose?
Answer:
628.
Step-by-step explanation:
We need to calculate the radius of the cylinder :
40/2 = 20 feet
We then will calculate the volume of the whole cylinder:
[tex]V = \pi * r^{2} * h = 3.14 * 20^{2} * 120 = 1256[/tex] cubic feet.
However, Wayne greenhouse is just a half of a cylinder, so it's volume are:
[tex]1256 / 2 = 628[/tex] cubic feet.
I'm vietanh and have a good day!
Where is the blue dot on the number line?
-4.5
-5
-5.5
Answer:
the answers is -4.9
Step-by-step explanation:
if you count from -4.5 to the blue dot it will be -4.9
Which shape fits the description below?
A six-sided figure with three pairs of parallel sides.
X.
Y.
Z.
OA. The shape is nonexistent.
ОВ.
Y
OC. Z
D. X
p- (9-(m + q)); use m=4, p=5, and q=3
Answer:
3
Step-by-step explanation:
p-(9-(m+q))
5-(9-(4+3))
=5-(9-7)
=5-2
=3
Which equation has the correct sign on the product?
A. (-11)9 = 99
B. (-12)(-12) = 144
C. 17 x 3 = -51
D. 25(-5) = 125
Answer:
B. (-12)(-12) = 144
Step-by-step explanation:
A. (-11)9 = 99 Negative * positive = negative
B. (-12)(-12) = 144 negative * negative = positive
C. 17 x 3 = -51 positive * positive = positive
D. 25(-5) = 125 positive* negative = negative
Answer:
B. (-12)(-12) = 144
Step-by-step explanation:
HELP PLSSSS!!! To _[blank 1) a number, break it up into parts that you can _[blank 2] together to get the original number. If you know one factor of a number, you can find another using _[blank 3] - Match each blank with the option that correctly fills in that blank. - blank1 blank 3 blank 2 :: factor :: division :: multiplication :: divide :: multiply :: factoring
Answer:
1. Factor
2. Multiply
3. Division
Step-by-step explanation:
is 5.15 x 6√7 rational or irrational
Answer:
81,75
Step-by-step explanation:
you will use BODMAD
Which means in case you will divide first the 6 by 7 in division form .after getting the answer you will then multiply the answer by the 5.15.and get the final answer
Hiii! can someone please help me with my maths question
Form a quadratic equation and find the length of AB
Step-by-step explanation:
a^2 + b^2 = c^2
(x+2)^2 + 4x^2 = (3x+4)^2
(x+2)(x+2)+ 4x^2= (3x+4)(3x+4)
x^2 + 2x + 2x + 4 + 4x^2 = 9x^2 + 12x + 12 x + 16
5x^2 + 4x + 4 = 9x^2 + 24x + 16
-4x^2 - 20x - 12 = 0
now we can use the quadratic formula
(-b±√(b²-4ac))/(2a)
I can't type all this so
.....
x = -0.697224362 or -4.302775638
AB can't be negative so it's the first one
so it's equals to 1.302775638
An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 50 ft per sec. The height s of the ball in feet is given by the equation s =-27t2 + 50t+ 6.5, where t is the number of seconds after the ball was thrown
a) what is the initial height of the projectile?
b) what is the maximum height of the projectile? ( round to the nearest foot)
c) after how many second is the ball 12 feet above the moons surface? ( round to the nearest foot)
d) how long will it take for the ball to hit the moons surface?( round to the nearest hundredth)
Answer:
please answer me binary number multiply 11010 multiply 101
ɪ ɴᴇᴇᴅ ʜᴇʟᴘ ᴡɪᴛʜ ᴛʜɪꜱ !
ᴍᴀᴛʜ ᴇxᴘᴇʀᴛꜱ ᴏɴʟʏ
Answer:
1.6
Step-by-step explanation:
an integer is defined as any positive or negative whole number.
1.6=16/10=8/5 . This is a fraction
0 is a whole number
8 is a whole number
-15 is a whole number
pls mark as brainliest. Thanks
HELP PLS: If f(x) = 2x – 3 and g(x) = 2x2 + 5x + 1, find:
a. f(4) + g(1)
Answer:
13
Step-by-step explanation:
f(x) = 2x - 3,
f(4) = 2(4) - 3,
f(4) = 5
g(x) = 2x^2 + 5x + 1,
g(1) = 2(1)^2 + 5(1) + 1,
g(1) = 2 + 5 + 1,
g(1) = 8
f(4) + g(1) =
5 + 8 =
13
Hope this helps :)
Answer:
Step-by-step explanation:
what does it mean when a chance event has a probability of 4/4
Answer:
When the probability of something happening is 4/4, it means that the probability of that thing happening is 1
When the probability of an event happening is 1, it means that that the event is going to happen and there is no chance of the event not happening.
Crsytal and meghan shared a sum of money 8:3 , Crystal received $135 more than Meghan. How much money was shared ?
Answer:
$2,295
Step-by-step explanation:
Meghan = x
Crystal = x + 135
[tex] \frac{8}{3} = \frac{x}{x + 135} [/tex]
[tex]8 \times (x + 135) = 3x[/tex]
[tex]8x + 1.080 = 3x[/tex]
[tex]1.080 = x[/tex]
Meghan got $1,080
[tex]1.080 + 135 = 1.215[/tex]
Crystal got $1,215
[tex]1.080 + 1.215 = 2.295[/tex]
$2,295 money was shared.
more algebra............
Answer:
C
Step-by-step explanation:
this is the answer since it involves a minus sign
Find x. Simplify completely.
х
9
10
Answer:
10
Step-by-step explanation:
geometric mean theorem :
h = sqrt(pq)
p, q being the segments on the Hypotenuse of the right-angled triangle.
so, x = sqrt(9×10) = 3×sqrt(10)