Answers
Step-by-step explanation:
remember the definitions of these 2 types of numbers ?
rational numbers are all numbers that can be written as
a/b
where a and b are integers, and b <> 0.
this includes all real fractions, but also all whole or integer numbers, as they can be written as a/1.
if they have digits after the decimal point, they are either finite, or they have a repeating pattern for all eternity.
irrational numbers are all numbers with an infinite series of digits after the decimal point without any repeating patterns.
that includes all squares roots of non-squared numbers or any other roots of numbers that are not the product of correspondingly many multiplications with themselves. and trigonometric function and logarithm results, and the special numbers in math and physics : pi and e.
so,
4/7 is rational
sqrt(30) is irrational
21/sqrt(4) is a trick question, as sqrt(4) = 2.
so, this is actually
21/2 is rational
pi is irrational
-27 = -27/1 is rational
Related Questions
Somebody help me please
Answers
Answer:
see explanation
Step-by-step explanation:
given
(2x + 5)(2x - 1) ← expand using FOIL
(a)
= 4x² - 2x + 10x - 5 ← collect like terms
= 4x² + 8x - 5
(b)
using the method of completing the square on
4x² + 8x - 5 ← factor out 4 from the 1st 2 terms
= 4(x² + 2x) - 5
to complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 2x
= 4(x² + 2(1)x + 1 - 1) - 5
= 4(x + 1)² - 4 - 5
= 4(x + 1)² - 9
I need help with these problems can anyone explain this to me?
Answers
I'd love to help!
What's your question?
Brainliest
A stone pyramid in Egypt has a square base that measures 149 m on each side. The height is 91 m. What is the volume of the pyramid
Answers
Check the picture below.
[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{149\times 149}{22201}\\ h=91 \end{cases}\implies V=\cfrac{(22201)(91)}{3}\implies V=673430.\overline{3}~m^3[/tex]
What is the theoretical probability of randomly choosing a white marble from a bag of 12 red marbles, 12 white marbles, 12 green marbles, and 12 blue marbles? Select the correct fraction, decimal and percent below.
Answers
Answer:
[tex] \frac{12}{48} [/tex]
[tex] \frac{1}{4} [/tex]
0,25
25%
put 3/5 as a decimal and is it a terminating or repeating decimal?
Answers
Answer:
3/5 as a decimal is 0.6 and it is terminating not repeating
Step-by-step explanation:
Write a function rule for the table.
f(x) = 4 – x
f(x) = –4x
f(x) = x + 4
f(x) = x – 4
Answers
Answer:
f(x) = x – 4
checking for all the functions by replacing x as 3
f(x) = 4 – x
f(3) = 4 - 3
f(3) = 1
does not match
f(x) = –4x
f(3) = -4(3)
f(3) = -12
does not match
f(x) = x + 4
f(3) = 3 + 4
f(3) = 7
does not match
f(x) = x – 4
f(3) = 3 - 4
f(3) = -1
matches
Answer:
f(x) = x - 4
Step-by-step explanation:
The options are:
f(x) = 4 – x
f(x) = –4x
f(x) = x + 4
f(x) = x – 4
For f(x) = 4 – x, when x=3, f(x)=1 so it cannot be right.
For f(x) = –4x, when x=3, f(x)=-12 so it cannot be right either.
f(x) = x + 4, when x=3, f(x)=7 so it cannot be right.
The only choice left which is also the right answer is f(x) = x – 4
Can someone answer this one
Answers
Answer:
3 sides
Step-by-step explanation:
A triangle has 3 sides.
Answer:
its 3
Step-by-step explanation:
you can know this if you have eyes:)
Simplify the expression.
(In the picture)
Answers
Answer:
18x2y^2^3√3xy2 <-- scratch that its D
Step-by-step explanation:
Find an equation for the perpendicular bisector of the line segment whose endpoints are (5, 5) and ( 7, 1).
Answers
Answer:
x -2y = 0
Step-by-step explanation:
A perpendicular bisector is a line perpendicular to a given line or segment that goes through the midpoint between given points. The perpendicular line will have a slope that is the opposite reciprocal of the slope of the segment between the given points.
__
The midpoint between A and B is ...
M = (A +B)/2
M = ((5, 5) +(7, 1))/2 = (12, 6)/2 = (6, 3)
The slope of the line between A and B is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -5)/(7 -5) = -4/2 = -2
__
The opposite reciprocal of the slope of the given segment is ...
m' = -1/-2 = 1/2
The point-slope form of the equation of the perpendicular bisector can be written as ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -3 = 1/2(x -6) . . . . line with slope 1/2 through point (6, 3)
Multiplying by 2 gives ...
2y -6 = x -6
Subtracting (2y -6) gives the standard-form equation ...
x -2y = 0
Help thanks due soon..
Answers
4.) 11*3 = 33ml of yellow water
5.) 8*3 = 24ml of yellow water
6.) It is useful because it will cause the water to be the same shade of green every time if you use the correct ratio of blue to yellow water.
Nate has an account that pays 2. 76% simple interest per year and wants to accumulate $3,090 in interest from it over the next 15 years. How much money should Nate invest in this account to meet this goal? a. $1,279. 26 b. $4,369. 26 c. $4,373. 77 d. $7,463. 77.
Answers
We have given that,
interest rate = 2.76%
simple interest = 3,090
term = 15 years
What is the principle of simple interest?[tex]Simple Interest = Principal * interest rate * term[/tex]
[tex]3,090 = Principal * .0276 * 15\\3,090 = Principal * 0.414\\3,090 / 0.414 = Principal\\7,463.77 = Principal[/tex]
Therefore,Nate should invest 7,463.77 to meet his goal.
To learn more about the simple interest visit:
https://brainly.com/question/25793394
ABC is a triangle and PQ is parallel to BC.
BC = 12.6 cm, PQ = 8.4cm and AQ = 7.2 cm.
Find AC.
(i know that parallel lines divide triangle sides proportionally, but can someone do a detailed step on AC)
Answers
The ratio of the sides of the two figures are in a constant ratio
ie. BC/AC = PQ/AQ
12.6/AC = 8.4/7.2
Cross multiply
8.4AC =12.6x7.2
8.4AC = 90.72
Divide through by 8.4
AC= 10.8 cm
PLEASE HELP ME AND MAKE SURE TO EXPLAIN!!!
The lowest recorded temperature in Wisconsin is -55 F on to find this temperature in degrees Celsius . (5(F - 32))/9 Round to the nearest tenth . Explain its meaning .
Answers
Plug in -55 for F
5(-55-32)/9 = °C
Solve according to PEMDAS
5(-87)/9 = °C
-435/9 = °C
-48.333 = °C
So, -55°F = -48.3 °C
Find the values of x and y.
Answers
Answer:
x = 12 , y = 60
Step-by-step explanation:
The figure has 2 pairs of parallel sides and is therefore a parallelogram.
The opposite sides and opposite angles are congruent , then
x + 3 = 15 ( subtract 3 from both sides )
x = 12
and y = 60
given the following geometric sequence: 1,3,9,27,81,...
Write an explicit formula that describes this sequence.
Using the formula, find the 18th term of the sequence
Answers
Answer:
The 18th term of the geometric sequence is [tex]a_{18}=129140163[/tex]
Step-by-step explanation:
[tex]a_n=a_1(r)^{n-1}\\\\a_{18}=1(3)^{18-1}\\\\a_{18}=3^{17}\\\\a_{18}=129140163[/tex]
Your class will be participating in a quiz show. Each multiple choice question is worth 5
points while each open-ended question is 15 points. The team needs to get 40 questions
correct for a total of 350 points. How many of each question must be answered?
25 multiple choice and 15 open-ended
20 multiple choice and 20 open-ended
15 multiple choice and 25 open-ended
30 multiple choice and 10 open-ended
Answers
Answer:
25 multiple choice and 15 open-ended
Step-by-step explanation:
25 x 5 = 125
15 x 15 = 225
125 + 225 = 350
Add or subtract the following polynomials.
1. 7x-(4xy+12xy)-2
2. (5bc)-(5+bc)
3. 7+(2x-5x)+y
4. 6x+10+[3x-6x]
5. 3x²y-(5x²y)
With solutions pls
Answers
Answer 1:
7x-16xy-2
Answer 2:
4bc-5
Answer 3:
7-3x+y
Answer 4:
3x+10
Answer 5:
-2x²y
Solving Solutions Question #1
*Remove the parentheses for addition or subtraction*
[tex]7x-\left(4xy+12xy\right)-2[/tex]
*Determine the sign*
[tex]7x-4xy-12xy-2[/tex]
*Reorder and gather like terms*
[tex]7x+\left(-4xy-12xy\right)-2[/tex]
*Collect coefficients of like terms*
[tex]7x+\left(-4-12\right)\timesxy-2[/tex]
*Calculate the sum or difference*
[tex]7x-16xy-2[/tex]
Solving Solutions Question #2*Simplify or expand*
[tex]5bc-\left(5+bc\right)[/tex]
*Remove the parentheses for addition or subtraction*
[tex]5bc-5-bc[/tex]
*Reorder and gather like terms*
[tex]\left(5bc-bc\right)-5[/tex]
*Collect coefficients of like terms*
[tex]\left(5-1\right)[/tex] [tex]\times[/tex] [tex]bc-5[/tex]
*Collect the sum or difference*
[tex]4bc-5[/tex]
Solving Solution Question #3*Simplify or expand*
[tex]7+(2x-5x)+y[/tex]
*Determine the sign*
[tex]7+2x-5x+y[/tex]
*Reorder and gather like terms*
[tex]7+\left(2x-5x\right)+y[/tex]
*Collect coefficients of like terms*
[tex]7+\left(2-5\right)\timesx[/tex] [tex]\times[/tex] [tex]x+y[/tex]
*Calculate the sum or difference*
[tex]7-3x+y[/tex]
Solving Solution Question #4*Simplify or expand*
[tex]6x+10+(3x-6x)[/tex]
*Determine the sign*
[tex]6x+10+3x-6x[/tex]
*Reorder and gather like terms*
[tex](6x+3x-6x)+10[/tex]
*Collect coefficients of like terms*
[tex](6+3-6)[/tex] × [tex]x+10[/tex]
*Apply the Inverse Property of Addition*
[tex]3x+10[/tex]
Solving Solution #5*Simplify or expand*
[tex]3x^{2} y-5x^{2} y[/tex]
*Collect coefficients of like terms*
[tex](3-5)x^{2} y[/tex]
*Calculate the sum or difference*
[tex]-2x^{2} y[/tex]
I hope this helps you:)
You flip a coin and spin the spinner below. What is the probability that you flip heads and spin a number greater than 2?The spinner has 4 sides and 1-4
Answers
Answer:
1/2
Step-by-step explanation:
x2-4x=-4 Solve using quadratic formula (find x)
Answers
Answer:
x=2
Step-by-step explanation:
[tex]x^2-4x=-4[/tex]
[tex]x^2-4x+4=-4+4[/tex] (Add 4 to both sides)
[tex]x^2-4x+4=0[/tex]
Now, we can solve it using quadratic formula
[tex]x_{1,\:2}=\cfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4* \:1* \:4}}{2* \:1}[/tex]
[tex]x_{1,\:2}=\cfrac{-\left(-4\right)\pm \sqrt{0}}{2* \:1}[/tex]
[tex]x=\cfrac{-\left(-4\right)}{2* \:1}[/tex]
[tex]x=2[/tex]
~
Add 4 to both sides of the equation.
x^2+4x+ 4 =0
4±√4^2−4⋅(1⋅4)
————————
2⋅1
x= -2
Please help, I’ll mark your answer as brainliest.
Answers
Answer:
Step-by-step explanation:
If x2 mx m is a perfect-square trinomial, which equation must be true?.
Answers
Expression consist of numbers, variables, and mathematical operations. The equation that is true is x²+mx+m= (x+2)².
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As it is given that the x²+mx+m is a perfect square trinomial, and we know that the general equation of perfect square trinomial is given as,
ax²+bx+c=0
where a,b and c are real numbers, and a≠0,
if we compare the equation with our equation
[tex]ax^2+bx+c=0\\x^2+mx+m=0[/tex]
We will get the value of 'a' as 1, b=c=m, therefore, we need a binomial which is when expanded then in its perfect square trinomial the value of b=c, therefore, the only feasible option here is (x+2)².
Hence, the equation that is true is x²+mx+m= (x+2)².
Learn more about Expression:
https://brainly.com/question/13947055
What region of the graph would satisfy the following system?
y < 2 + 3
3
--
2
2.
Answers
Answer:
Step-by-step explanation:
y < 2 + 3
2 < 5
This statement is correct
The Ricci family's restaurant bill is $124.00. If they tip their server 20% of the bill, how much is their total bill with the tip included?
A.$126.48
B.$144.00
C.$142.60
D.$142.60
Answers
[tex][Hello,BrainlyUser][/tex]
Is your question incomplete?
Answer:
$148.80
Step-by-step explanation:
Tip = Increase also known as Add
$124.00 x 20% =24.80
$124.00 + 24.80= 148.80
As you can see it not an answer choice
.Please tell me if it missing anything..
[CloudBreeze]
8
Angelo is a computer salesmen. Last month he sold 420 computers. His goal is sell 5% more computers this month.
What is the number of computers Angelo wants to sell this month?
84
Answers
441
Step-by-step explanation:
420-5%=399 so the diference is 21 so 21+420=441
41% of 78 is what? i am very lost
Answers
Answer:
[tex]31.98[/tex]
Step-by-step explanation:
Given the following question:
41% of 78
In order to find the answer, we will use the formula to calculate percentages and solve.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{41\times78}{100} =41\times78=3198\div100=31.98[/tex]
[tex]=31.98[/tex]
41% of 78 is indeed "31.98."
Hope this helps.
Please solve and please make sure your correct
Answers
Answer:
(a) The ones that are equivalent to the given fraction are: [tex]\frac{2}{-9}[/tex] and [tex]-\frac{2}{9}[/tex]
(b) The one that is equivalent to the given fraction is: [tex]\frac{-8}{-5}[/tex]
Solve for x. Round to the nearest tenth, if necessary.
Answers
Answer: 20.4
Step-by-step explanation:
f(x) = (2x − 3)(x + 6)(5x + 6) has zeros at x = -6, x = -6/5 and x =3/2.
What is the sign of f on the interval - 6
Answers
Answer:
Step-by-step explanation:
f ( - 7 ) = [ 2 ( - 7 ) - 3]( - 7 + 6 )[ 5 ( - 7 ) + 6 ] = ( - 17 )( - 1 )( - 29 ) < 0 , Negative
f ( - 5 ) = [ 2 ( - 5 ) - 3]( - 5 + 6 )[ 5 ( - 5 ) + 6 ] = ( - 13 )( + 1 )( - 19 ) > 0 , Positive
f ( - 1 ) = [ 2 ( - 1 ) - 3]( - 1 + 6 )[ 5 ( - 1 ) + 6 ] = ( - 5 )( + 5 )( + 1 ) < 0 , Negative
The answer is (A) " f " is always POSITIVE
Mike’s wooden storage box is 25 inches by 36 inches by 39 inches what is the volume of mike’s box
Answers
Answer:
It would be 35100.
Since 12:00 a.m., a cold front has caused the temperature in a particular city to decrease at a constant rate. At 2:00 a.m., the temperature was 54 degrees Fahrenheit, and at 5:00 a.m., the temperature was 45 degrees Fahrenheit. Which of the following statements are correct? Select TWO that apply.
Answers
The temperature in a particular city to decrease at a constant rate of 3°F per hour.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
At 2:00 a.m., the temperature was 54 degrees Fahrenheit, and at 5:00 a.m., the temperature was 45 degrees Fahrenheit. Hence:
Rate of change = (45°F - 54°F) / (5 - 2) = -3
The temperature in a particular city to decrease at a constant rate of 3°F per hour.
Find out more on equation at: https://brainly.com/question/2972832