The given set ℤ can be written as {..., -3, -2, -1, 0, 1, 2, 3, ...}.
The given set ℤ can be written as { x | x is an integer, -∞ < x < ∞}.
Disclaimer:
I assume that ℤ in the question indicates the set of all integers.
Sets are the basis of mathematics. One can write sets in different ways and form smaller sets of elements from a larger set.
Any set can be written in two forms.
Roster formSet-builder notationRoster form:
Roster form is one way to write sets. The roster form lists the elements of a set within braces, { }. Let's see a few examples for the roster form.
We write the set containing the elements 5, 6, 7, and 8 as {5, 6, 7, 8}We write the set of multiples of 5 as {5, 10, 15, 20, 25, 30,...}.So, the given set ℤ can be written as {..., -3, -2, -1, 0, 1, 2, 3, ...}
Set-builder notation:
Set-builder notation is another way to write sets. Set-builder notation describes by enumerating its elements or stating the properties that its elements must satisfy. Let's see a few examples for the set-builder notation.
We write the set containing the elements 5, 6, 7, and 8 as { x | x is a natural number, 4 < x < 9}We can write the set of multiples of 5 as { x | x is a multiple of 5}. This is read as "the set of all real numbers x, such that x is a multiple of 5".So, the given set ℤ can be written as { x | x is an integer, -∞ < x < ∞}. This is read as "the set of all real numbers x, such that x is an integer".
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Hesperia Community center is buying new seating for their building. They want to purchase a combination of stools and chairs. Stool cost $15 and chairs cost $25. The center cannot spend more than 1500. Which inequality represents all possible combinations of s stools and c chairs? A. 15s + 25c < 1500 B. 15c + 25s > 1500 C. 15c + 25s < 1500 D. 15s + 25c < 1500
Answer:
I just finished taking the test and the answer is 15s + 25c ≤ 1500
Someone please help me
Answer:
-3/10
Step-by-step explanation:
The fraction would be -30/100 because the man is descending.
-30/100 = -3/10 simplified.
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If f(x)=x^3+11x^2+31x+21 and x+1 is a factor of f(x)f(x), then find all of the zeros of f(x)f(x) algebraically.
9514 1404 393
Answer:
{-1, -3, -7}
Step-by-step explanation:
Dividing the given polynomial by (x+1) yields a quotient of x^2 +10x +21. That factors as (x+3)(x+7), so the three zeros are ...
x ∈ {-1, -3, -7}
__
The factors of x^2 +10x +21 are found by looking for factors of 21 that have a sum of 10. Those factors are 3 and 7, so the complete factorization of f(x) is ...
f(x) = (x +1)(x +3)(x +7)
The zeros are the values of x that make these factors be zero. In each case, that x-value is the opposite of the constant in the binomial term.
I need to find x and y
Answer:
y = 131
x = 65
Step-by-step explanation:
y + 6 = 137
y = 131
360 - 137(2)
= 360 - 274
= 86
x + 21 = 86
x = 65
subtract 3x^2 7x-43x 2 7x−43, x, squared, plus, 7, x, minus, 4 from 8x^2-6x 28x 2 −6x 28, x, squared, minus, 6, x, plus, 2.
The result when we subtract 3x^2 + 7x - 4 from 8x^2 - 6x + 2 is 5x^2 - 13x + 6.
Subtracting polynomials is a method of subtracting polynomials by converting the signs to the opposite sign. It is done in two methods - vertically and horizontally.
Using the method in subtracting polynomials horizontally:
Step 1: Arrange the polynomials in their standard form.
Both 3x^2 + 7x - 4 and 8x^2 - 6x + 2 are in their standard form(exponents in decreasing order)
Step 2: Place the polynomial next to each other horizontally.
(8x^2 - 6x + 2) - (3x^2 + 7x - 4)
Step 3: Distribute the negative sign to the second polynomial.
(8x^2 - 6x + 2) - 3x^2 - 7x + 4
Step 4: Combine the like terms and arrange them in decreasing order.
8x^2 - 3x^2 - 6x - 7x + 2 + 4
Step 5: Perform the calculations.
5x^2 - 13x + 6
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Maritza says that the number y is equal to 2 more than 3 times x. Which of the following equations could be used to find the value of y.
Answer:
C
Step-by-step explanation:
what is 17 - (-12)=
who knows the answer please help
Answer:
The answer is "29".
Step-by-step explanation:
17 - ( -12) =
17 + 12 =
= 29
Answer:
The answer is 29
Step-by-step explanation:
the answer is 29
hmm what is 5567x443
Answer:
2466181 is the answer
LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown. • First card: -12 • Second card: 3 •Third card: -5 What is the sum of the values of LuAnn’s three cards?
Answer:
4
Step-by-step explanation:
maybe because negative cancells a positive
Need help asap please
Answer:
c = 5
Step-by-step explanation:
IT'S THE THREE FOUR FIVE TRIANGLE!!
3^2 + 4^2 = c^2
√25 = c
c = 5
Answer:
The formula to use is the pythagorian theorum.
Step-by-step explanation:
That is a²+b²=c²
Take the square of both sides. then add them together. Then take the square root. You should get 5
Do I write like the measurements? I don’t get this question someone help pls
Answer:
Milk - 3 cups
Eggs - 2
Self-Raising Flour - 4 cups
Caster Sugar - 2/3 cup
Melted Butter - 50g
Step-by-step explanation:
The question asks for the quantity of each ingredient needed to make 24 pancakes. The recipe we are given makes 12 pancakes.
To figure out our proportions, we can divide the number of pancakes we need to make by how many the recipe makes.
24/12 = 2
This tells us that we will need to double the quantity of each ingredient in the recipe to make 24 pancakes.
1.5 · 2 = 3 cups of milk
1 · 2 = 2 eggs
2 · 2 = 4 cups of self-raising flour
1/3 · 2 = 2/3 cup of caster sugar
25 · 2 = 50g of melted butter
sum one help me like frr
Answer:
The first one is correct.
Step-by-step explanation:
The number of shelves depend on the number of trophies there are.
Answer:
t = independent
s = dependent
For the number of trophies her son has will be the number of shelves she will build for the trophy case.
Hope this helps :)
Find an equation for the perpendicular bisector of the line segment whose endpoints are (8, 1) and (2, -9).
Which statements are true regarding the expression below? Check all that apply. 8^-1×8^-3×8
○the last factor,8, with no exponent shown is equivalent to 8^0
○the sum of the exponents is -3
○ the value of the expression is -512
○the value of the expression is 1/512
○an equivalent expression is 8^7×8^-10
○ an equivalent expression is 8^-2×8^-2
Answer:
D and E are true.
Step-by-step explanation:
a) 8 with no power is not equivalent to 8^0 => FAULSE
b) the of the exponents is -4 => FAULSE
c) the value of the expression is not equal to -512 => FAULSE
d) (YES) the value of the expression is 1/512
e) (YES) an equivalent expression is 8^7 * 8^-10
f) is not an equivalent expression is 8^-2×8^-2 => FAULSE
The temperature in Anchorage, Alaska, was –3°C in the afternoon. After the sun went down, the temperature dropped 6 degrees.
What was the temperature after the sun went down?
Answer:
Step-by-step explanation:
ion
What is the slope of the line that passes through the points -16,0 and -8,2?
Answer:
1/4
Step-by-step explanation:
0 - 2 = -2
-16 - -8 = -8
-2/-8 = 1/4
Helppppppppppppppppp
Answer:
if it's asking for the like point it would be (3,3)
Step-by-step explanation:
i apologize if that's not what it is asking for
Answer the question please and thank you!
Answer:
44%, 0.4, -3/5, -62%
Step-by-step explanation:
Descending is greatest to least so:
44% is 44/100 so its 0.44
0.4 is pretty straightforward
-3/5 is -0.6
-62% is -0.62
Find m angle 4. SOLVE step by step CORRECTLY !!!! Please help !!!!!!!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
A rectangle has a length of 72 cm and a width of 56 cm. The other rectangle has the same area as this one, but its width is 21cm. Find the constant of the variation.
Answer: I think it’s 4032
Step-by-step explanation:
Find the coordinates of the image after the translation
of line RS with vertices: R(-2,-4) and S(0,2).
Translation: (x,y) --> (x-3, y+4)
Answer:
If I woke up without ya
I don't know what I would do
Thought I could be single forever 'til I met you
Usually don't be fallin', be fallin', fallin' first
You got a way of keeping me comin' back to back
I just found out the only reason that you lovin' me
Was to get back at your ex lover but before you leave
Usually I would never, would never even care
Baby, I know she creepin' I feel it in the air
Step-by-step explanation:
I would like help again please and thank you for your help ? If you purchase a $24 pair of shoes at a 10% discount
and a $10 belt at a 25%
discount, what is the total
Of the discounts you
receive. What is the
total price you owe,
before tax
Answer:
With the discounts, you saved a total of $4.90. You still owe $29.10.
Step-by-step explanation:
Shoes:
10% of 24 is 2.4
The shoes cost 21.60 with the 10% discount and before tax.
Belt:
25% of 10 is 2.5
The belt cost $7.50 with the 25% discount and before tax.
Total:
You still owe 29.10 for the belt and shoes before tax.
You saved $2.4 on the shoes and $2.5 on the belt (total of $4.90)
Can y’all help me plzzzz
Answer:
D
Step-by-step explanation:
15 tickets were solds right as 150 dollars were made.
Answer:
D- 10 is your slope
Step-by-step explanation:
you can see that the point it directly goes through is (15,150)
if you do rise/run to determine the slope, you would get 150(rise)/15(run)
which gives you 10!
PLEASE HELP ME!!!! What system of equations is shown on the graph below?
A. x-2y=-4 and 2x+y=4
B. x-2y=4 and 2x+y=-4
C. x-2y=-2 and 2x+y=-4
D. x-2y=2 and 2x+y=4
using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?
According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.
According to the statement
We have to find that the value of the combination.
So, For this purpose, we know that the
A combination could be a mathematical technique that determines the quantity of possible arrangements in an exceedingly collection of things where the order of the choice doesn't matter.
From the given information:
A red pebble is capable 3 yellow pebbles. A blue pebble is adequate a red pebble and a couple of yellow pebbles. Therefore, the blue pebbles will be:
= 3 yellow pebble + 2 yellow pebbles
= 5 yellow pebbles or 15 red pebbles
And
Two blue pebbles will be:
= 10 yellow pebbles
= 3 red pebbles and 1 yellow pebbles.
So, According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.
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Question:
A red pebble is equal to 3 yellow pebbles A blue pebble is equal to a red pebble and 2 yellow pebbles. A green pebble is equal to 3 red pebbles
Using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?
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Solve the Expression
8g + 5 - 2r, g = 5, r = 12
Answer:
21
Step-by-step explanation:
First at all you replaced:
8(5) + 5 - 2(12)
40 + 5 -24
21
What is diffusion
Explain how blood clots
When was the first world war fought
Answer:
Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.
Step-by-step explanation:
The solution to a problem is an irrational number. Which statement is true about the solution
A. It can be expressed as a non repeeating, non terminating decimal.
B. It can be a perfect square
C. It cannot be pie
[tex]\pi[/tex]
D. It is not possible to have a irrational number solution.
Answer:
A. It can be expressed as a non repeating, non terminating decimal.
Step-by-step explanation:
Irrational numbers are numbers with a decimal that goes on forever.
The decimal also never repeats, for the entirety that it goes on.
Since the solution is an irrational number, this means that the solution can be expressed as a non-repeating and non-terminating decimal.
So, A is the correct answer.
Answer: a
Step-by-step explanation: i agree with rocco 908
Which expression is the same as 400.902
Answer:
4*100+.9*0.1+.002*.001
Step-by-step explanation:
The graph of a system of equations is shown below. Which system of equations represents the graph?
A.y = 3x - 5
y = -1/2x + 2
B.y = 2x - 5
y = -1/2x + 2
C.y = 3x - 5
y = -2x + 4
D.y = 2x - 5
y = -2x + 4