The set notation includes all values from -5 to 0, but the domain only includes the integer values
eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}
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Further explanation:
Let's go through the answer choices one by one
A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that [tex]-5 \le x \le 0[/tex] is the correct order as well.B. This is true. A value like x = -1.2 is in the set [tex]\left\{x| -5 \le x \le 0\right\}[/tex] since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write [tex]\left\{x| x\in\mathbb{Z}, \ -5 \le x \le 0\right\}[/tex]. The portion [tex]x \in \mathbb{Z}[/tex] means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers". C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.D. This is false. Writing [tex]-5 \ge x \ge 0[/tex] would not make any sense. This is because that compound inequality breaks down into [tex]-5 \ge x \ \text{ and } \ x \ge 0[/tex]. Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.Combine like terms: 16x+11p-4x-3p
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Like terms have same variables
16x & -4x are like terms
11p & -3p are like terms
16x + 11p - 4x -3p = 16x - 4x + 11p - 3p
= (16- 4)x + (11 - 3) p
= 12x + 8p
1Ox+6-8x=9x +12-8x-2
Answer:
X=4
Step-by-step explanation:
What is the domain for y=2x
Answer:
y ...................
Frank buys p pounds of oranges for $2.29 per
pound and the same number of pounds of apples
for $1.69 per pound.
a. What do the coefficients represent?
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b. What do the terms represent?
First let's translate these words algebraically and form an equation:
Let oranges be x and apples be y, [tex]2.29x+1.69y[/tex]
a. coefficients are the constants multiplied by the variable, they represent the price of both oranges and apples.
b. I am assuming that the terms here represent how much he paid for the pounds of oranges and apples he bought in total.
Solve the following equation for n.
1) 5(-5 + n) =-3 – 6n
A) 2
B) {-9)
C) {7} D) {16
Answer:
A
Step-by-step explanation:
5 (-5 + n) = -3 - 6n
-25 + 5n = -3 - 6n
-25 + 11n = -3
11n = 22
n = 2
A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a discrete quantitative variable that might be included in the brochure? number of seats type of transmission presence of a sunroof fuel efficiency (in mpg)
Answer:
The correct option is;
Number of seats
Step-by-step explanation:
A quantitative variable is a variable that has a numeric value used to describe the measured characteristic of an item
A discrete variables are countable variables within given finite amount of time
Therefore, a discrete quantitative is a countable variable that indicates the measured value of an item or feature'
In the question, the discrete quantitative variable that might be included in the brochure is Number of seats.
Answer: The number of seats
Step-by-step explanation: Because a discrete quantitative variable is a variable whose value is obtained by counting. you’re welcome:)
A planter in the shape of a cube has a volume of l000 in to the 3rd power. Is the area of the base of the cube greater than or less 1 square foot? Explain
in 1993 wiley post flew around the world in 7 days, 18 hours. wileys trip would be best described as flying around the -------- of the world?
dale drove 223 miles using 10 gallons of gas. at this rate, how many miles would he drive using 9 gallons of gas?
Answer:
200,7 miles
Step-by-step explanation:
Proportions:
223 miles ⇔ 10 gallons
D miles ⇔ 9 gallons
D = 223*9/10
D = 200.7 miles
Answer:
The answer is
200.7 milesStep-by-step explanation:
In order to find the number of miles he drove we use ratio and proportion
From the question
If he used 10 gallons while driving 223 miles
The 9 gallons will be
[tex] \frac{223 \times 9}{10} [/tex]= 200.7 milesHope this helps you
inverse of g(x)=2x -8
Answer:
The inverse is 1/2x +4
Step-by-step explanation:
g(x)=2x -8
y = 2x-8
Exchange x and y
x = 2y-8
Solve for y
x+8 = 2y-8+8
x+8 = 2y
Divide by 2
1/2 x + 8/2 = 2y/2
1/2x +4 = y
The inverse is 1/2x +4
Answer:
y = 1/2x + 4
Step-by-step explanation:
The first equation is y = 2x - 8
switch out y for x
x = 2y - 8
add 8 to both sides
2y = x + 8
divide by 2 on each side
y = 1/2x + 4
Factor of 3x-3a+xy-ay
Answer:
(3 - y) & (x - a) are the factors
Step-by-step explanation:
3x-3a+xy-ay
=> 3x - xy - 3a - ay
=> x(3 - y) - a(3 - y)
=> (3 - y)(x - a)
(3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.
Here, we have,
given that,
the expression is : 3x-3a+xy-ay.
now, we have,
To factor the expression 3x - 3a + xy - ay, we can group the terms as follows:
3x-3a+xy-ay
=> (3x - 3a) + (xy - ay)
Now, let's factor out the common factors from each group:
=> 3(x - a) + y(x - a)
Notice that both terms now have a common factor of (x - a).
We can factor out this common factor:
=> (x - a)(3 + y)
Therefore, the factored form of the expression 3x - 3a + xy - ay is (x - a)(3 + y).
Hence, (3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.
To learn more on Expression click:
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For how many games is the total cost of bowling equal for the two bowling establishments? Family bowling game $4, shoes $1. Knight owl bowling game $3.75, shoes $2.
Answer: If you play 4 games, the price will be the same in the two establishments.
Step-by-step explanation:
Ok, in Family Bowling we have:
$4 per game, plus $1 per shoes (the shoes are paid only one time).
Then, the price for X games, is:
Pa(X) = $4*X + $1.
In Knight Owl Bowling we have:
$3.75 per game and $2 for the shoes, the price for X games will be:
Pb(X) = $3.75*X + $2.
Now, if we want to pay the same in both establishments, we have:
Pa(X) = Pb(x)
$4*X + $1 = $3.75*X + $2
Now we should solve this for X.
$4*X - $3.75*X = $2 - $1 = $1
($4 - $3.75)*X = $1
$0.25*X = $1
X = $1/$0.25 = 4.
If you play 4 games, the price will be the same in the two establishments.
write an equation in point slope form for a line with a slope of -3 that passes through (2, -4)
Answer:
work shown and pictured
Drag the numbers to order them from least to greatest.
Answer:
[tex]\sqrt{7}[/tex], 2.8, [tex]\pi[/tex], [tex]\sqrt{17}[/tex], 4.6
Step-by-step explanation:
To order the numbers from least to greatest turn all the numbers into decimal form.
[tex]\sqrt{7}[/tex]: 2.65
[tex]\sqrt{17}[/tex]: 4.12
[tex]\pi[/tex]: 3.14
4.6
2.8
Now order them from least to greatest (make sure you put the numbers back into their original form)
[tex]\sqrt{7}[/tex], 2.8, [tex]\pi[/tex], [tex]\sqrt{17}[/tex], 4.6
The numbers in the form of least to greatest will be [tex]\sqrt{7}[/tex], [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], 4.6.
What are rational and irrational numbers ?Rational numbers are those numbers which have terminating,Repeating or recurring digits after the decimal place.
Irrational numbers have non-repeating, non-recurring non-terminating digits after the decimal place.
According to the given question we have to order the number from least to greatest.
Given number are 4.6, [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], [tex]\sqrt{7}[/tex].
We know the value of π is 3.14 approx and square root of 17 lies between square root of 16 and 25 which are 4 and 5 but more close to 4 and square root of 7 lies between square root of 4 and 9 which are 2 and 3.
∴ The given numbers in increasing order will be
[tex]\sqrt{7}[/tex], [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], 4.6.
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factor out the GCF: 12+24x
Step-by-step explanation:
I hope this is the right answerAnswer:
Step-by-step explanation:
Factorize 12 and 24
12 = 2 * 2 * 3
24 = 2 * 2 * 2 * 3
GCF = 2 * 2 * 3 = 12
12 + 24x = 12*1 + 12 * 2 *x
= 12*(1 + 2x)
Please help I suck at these :(
negative twenty-four over three equals negative eight.
The price of a share of stock for Nike at the beginning of the week was $24.75. Over the next five days, the share of stock gained $2.50 on Monday, lost $3.25 on Tuesday, lost $0.75 on Wednesday, gained $1.25 on Thursday, and gained $4.75 on Friday. What was the price of the share of stock at the end of Friday? A. $37.25 B. $29.25 C. $12.25 D. $22.50 What is the Answer?
Answer: B. $29.25
Step-by-step explanation:
In integers loss is represented by negative integers whereas profit is represented by positive numbers.Given, Beginning price = $24.75
Over the next 5 days,
On Monday, gain of $2.50 represented by + $2.50.
On Tuesday, loss of $3.25 represented by - $3.25 .
On Wednesday, loss of $0.75 represented by - $0.75.
On Thursday, gain of $1.25 represented by + $1.25.
On Friday, gain of $4.75 represented by + $4.75.
Price of the share of stock at the end of Friday = (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)
= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)
= $29.25
Hence, the correct option is B. $29.25.
Simplify by combining like terms. Type the terms in alphabetical order. 6x-2+9y-3y-3x=
Answer:
3x + 6y - 2
Step-by-step explanation:
6x - 2 + 9y - 3y - 3x = 6x - 3x + 9y - 3y - 2 = 3x + 6y - 2
What's 1 + 2 x 3 ......................
Answer: 7
Step-by-step explanation:
Use PEMDAS method to solve.
ParenthesesExponentsMultiplication and Division Addition and subtraction.This means to solve all the numbers in order.
----------------------------------------------------------------
1 + 2 × 3
=1 + 6 ⇔ First do multiplication
=7 ⇔ Then do division
Zanna’s cousin was born in 1980. If Zanna was born in 1997, how much older, in years, is her cousin?
Answer:
zanna's cousin is 17 years older than zanna
Step-by-step explanation:
Answer:
17 years older
Step-by-step explanation:
1997- 1980 = 17
7 times the difference of a number and 1
answer: 7(x-1)
hope this helps you
Answer: The answer is 7(x - 1).
Step-by-step explanation:
So far, we know that the givens are:
7 times the difference of a number and 1
We just need to understand what it says:
7 times ( difference of a number and 1)
So "the number" can be any number, but you have to replace it with a variable such as n, s, x, etc. And by the way, difference is from subtraction, the result of the subtraction of 1 from the unknown number. Using this, we get:
7(x - 1)
Hence the answer!
3х – 13 = 23
Please give an explanation to the answer
Answer:
x = 12
Step-by-step explanation:
3x - 13 = 23
Bring non-variable numbers to other side:
3x = 36
Divide both sides by 3:
x = 12
Answer:
x = 12
Step-by-step explanation:
This equation is very easy to solve.
3x - 13 = 23 Add 13 to both sides of the equation.
3x = 36 Divide by 3 on both sides of the equation.
x = 12
Then, check your answer by substituting the solved value.
3(12) - 13 = 23
36 - 13 = 23
23 = 23
Therefore, x = 12 is the solution to the equation.
-3(3+x)+4(x-6)=-4 Please help me with this question
Answer:
[tex] \boxed{ \bold{ \huge{ \sf{x = 29}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 3(3 + x) + 4(x - 6) = - 4 }[/tex]
Distribute -3 through the parentheses
Similarly, Distribute 4 through the parentheses
⇒[tex] \sf{ - 9 - 3x + 4x - 24 = - 4}[/tex]
Collect like terms
⇒[tex] \sf{x - 9 - 24 = - 4}[/tex]
Calculate
⇒[tex] \sf{x - 33 = - 4}[/tex]
Move 33 to right hand side and change it's sign
⇒[tex] \sf{x = - 4 + 33}[/tex]
Calculate
⇒[tex] \sf{x = 29}[/tex]
Hope I helped!
Best regards!!
Farah rolls a fair dice and flips a fair coin. What is the probability of obtaining a 5 and a head? Give your answer in its simplest form.
Answer:
1/12
Step-by-step explanation:
1 in 6 probablity on the dice and 1/2 probablity on the coin. multiply 6 and 2 = 12
1/12 probablity
i think this is the right answer but im not 100 percent sure
the king,queen,Jack and 10 all of a spades are lost from a pack of 52 playing cards a card is drawn from our remaining well shuffled pack
1.)The probability of getting a king is
2.)The probability of getting a black card is
Answer:
The probability of getting a king is = 1/16.
The probability of getting a black card is = 11/24.
What is the solution to the inequality 4x>-12?
O x>-3
Ox<-3
O x>-48
O x<-48
Answer:
A. x>-3
Step-by-step explanation:
You just have to divide -12 by 4 and the sign does not flip because 4 is not negative
A drink is made from 1.5 litres of orange juice and 7.5 litres of lemonade. What fraction of the drink is orange juice? Give your answer in its simplest form.
Answer:
Hey there!
Total juice: 1.5+7.5=9
Orange juice: 1.5
1.5/9=1/6
Let me know if this helps :)
Find the radius of Circle N.
Answer:
C = 113.04
Step-by-step explanation:
arc ACB = (Ф/360) * 2πr
81.64 = (260/360) * 2 * π * r
r = (81.64 * 360)
2 * π
r = 17.99 cm
Circumference = 2 * π * r
C = 2 * π * 17.99
C = 113.04
If Mary and Tom put their money together they have £36. If Mary's money were halved and Tom's money doubled they would have £42. How much does each of them have? If you're answering, could you please show working out, thanks so much.
Answer:
Mary has £20 and Tom has £16
Step-by-step explanation:
Represent their current respective money amounts by m and t.
Then m + t = £36, but also m/2 + 2t = £42.
Multiplying the second equation by 2 removes the fraction:
m + 4t = £84
and multiplying this by -1 results in
-m - 4t = -£84, which can now be added to the first equation m + t = £36:
-m - 4t = -£84
+m + t = £36
---------------------
-3t = -£48
We have successfully eliminated m. To solve this last result for t, divide both sides by -3, obtaining t = £16
Since m + t = £36 and t = £16, m must be £20.
Mary has £20 and Tom has £16
Add: (3x2 - 5x + 6) + (9 - 8x - 4x2) A) 12x2 - 13x + 2 B) 7x2 + 3x - 3 C) 7x2 - 13x + 15 D) -x2 - 13x + 15
Answer:
D
Step-by-step explanation:
So we have the expression:
[tex](3x^2-5x+6)+(9-8x-4x^2)[/tex]
Combine like terms:
[tex]=(3x^2-4x^2)+(-5x-8x)+(6+9)[/tex]
Add or subtract:
[tex]=(-1x^2)+(-13x)+(15)[/tex]
Simplify:
[tex]=-x^2-13x+15[/tex]
Our answer is D