Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Irrational numbers are those real numbers which are not rational numbers.
What is a rational number?Rational numbers are numbers which can be written in the form of a/b where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.
What is an irrational number?Irrational numbers are those real numbers which are not rational numbers.
For example √2, π, √13, etc.
It is important thing to Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.
Learn more about Rational and Irrational Numbers:
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The graph of the parent function f(x) = xº is translated to form the graph of g(x) = (x - 4) 3 - 7. The point (0, 0) on the
graph of f) corresponds to which point on the graph of g(x)?
Answer: The point (0, 0) corresponds to the point (4, -7)
Step-by-step explanation:
We have the function f(x) = x^3
And we transform this to get:
g(x) = (x - 4)^3 - 7
Here we have a vertical translation and a horizontal shift, let's define these two shifts:
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Horizontal shift.
If we have a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
This will move the graph of f(x) to the right or left a distance of N units.
if N is positive, then the shift is to the left
if N is negative, then the shift is to the right.
Then if we start with f(x), g(x) is a translation of 7 units down and 4 units to the right.
This means that any point (x, y) that belongs to the graph of f(x), after the transformation will be (x + 4, y - 7)
Then the point (0, 0) of the original function corresponds to the point (0 + 4, 0 - 7) = (4, - 7) of the function g(x)
We can check this, we need to evaluate the function g(x) in x = 4
g(4) = (4 - 4)^3 - 7= 0 - 7 = -7
g(4) = -7
Then the point (4, -7) belongs to the graph of g(x).
A2 N and an 8 N force pull on an object to the right and a 4 N force pulls to the left a 0.5 kg
object. What is the acceleration on the object?
Answer:
12 units/time²
Step-by-step explanation:
F = 2 + 8 - 4 = 6
F = ma
6 = 0.5a
a = 12
If AB is parallel to CD and the slope of CD is -5, what is the slope of AB?
Answer: -5
Step-by-step explanation:
Find the Area of the Circle.
a) 200.96
B) 25 12
C)30.24
D) 20.96 in
PLEASE HELP MEEEEEE
Morgan had $1,679 in her savings account. After one year, her balance increases by 2%. How
much does Morgan have in her account now?
Answer:
Step-by-step explanation:
1697(1+2/100)
1697(102/100)
173094/100
$1730.94
En la ciudad la temperatura en la noche fue de 2 grados sobre cero y en la madrugada llegó a 12 grados bajo cero. ¿Qué diferencia de temperaturas hubo en esas horas?
Responder:
La temperatura bajó 12 °
Explicación paso a paso:
Dado que:
Temperatura en la noche = + 2 ° (2
Temperatura de la mañana = - 12 (12 ° bajo cero).
La diferencia de temperatura entre la noche y la madrugada:
Temperatura nocturna - temperatura por la mañana temprano
2 - (-12)
2 + 12 = 14
Hay una diferencia de temperatura de 12 °. La temperatura bajó 12 ° entre la noche y la madrugada.
Neeed helpppp asppp I ready math
Answer:
D because we just distribute the 0.5
Hope this helps and brainliest please
Answer:
0.5x + 1.5
Step-by-step explanation:
0.5(x+3)
on opening bracket : 0.5 * x = 0.5x
+
0.5* 3 = 1.5
∴ 0.5x+1.5
A chess Club with 60 members is electing a new president. Donna received 42 votes. What percentage of the club members voted for Donna?
Can you please help me? This is due soon
Answer:
Michelle.
Step-by-step explanation:
D'Andre's Bank Account:
Remember to find the line, you need to use the formula y=mx+b. The m stands for slope while the b is the y-intercept. For D'Andre's y-intercept we can see that it's 0 and the slope is 2 (you can find it by doing rise/run). His equation is y = 2x.
To find how long it'll take him to get to $500, plug 500 into y: 500 = 2x
Divide by 2 on both sides: 250 = x
It'll take D'Andre 250 months to reach $500.
Fiona's Bank Account:
Unlike D'Andre's graph, she already has the equation, except that it isn't in the easiest form. To get it back to what it was, add 12x to the other side of the equation:
y - 12x = 100**
+ 12x = +12x
y = 12x + 100
**Just in case you didn't know, the 100 just means that's how much money she had started out with.
Plug in 500 for y: 500 = 12x +100
Subtract 100 from both sides: 400 = 12x
Divide by 12 to get x alone: 100/3 = x
It'll take Fiona about 33 months to reach $500.
Sam's Bank Account:
Sam has a table for his account, so we need to subtract some of the y coordinates to find his slope. Using 60 and 45 difference, we get 15. Looking at the table I can tell that is the slope because 15 is continually being added. To find his y - intercept, we need to look when his x coordinates was a 0. Therefore, his y-intercept is 60. His equation is y = 15x + 60
Plug in 500 for y: 500 = 15x + 60
Subtract 60 from both sides: 440 = 15x
Divide by 15 to get x by itself: 88/3 = x
It'll take Sam about 29 months to reach $500.
Michelle's Bank Account:
Last we have Michelle. Since she started with 25 dollars, that'll be her y-intercept. It also says that she is depositing 25 dollars per month, meaning 25 is her slope. Her equation should look like y = 25x + 25.
Plug in 500 for y: 500 = 25x + 25
Subtract 25 from both sides: 475 = 25x
Divide 25 from both sides to get x isolated: x = 19
It'll take Michelle 19 months to get $500.
So, in the end, Michelle will reach $500 dollars first.
HELP ASAP ASAP PLEASE
Answer:
Many solutions
Step-by-step explanation:
Factor by GCF
50x4 – 20x3 + 100x?
O 10x (52% – 2:+ 10x)
O 522 (10x2 - 4x + 20)
O 5x3 (102 – 4+ 10)
O 10:22 (522 – 2x + 10)
Answer:
10x^(2)-4x
Step-by-step explanation:
Solve 4x - 13 = 17 + 8x
Answer:
-15/2
Step-by-step explanation:
Answer:
x= -7 1/2 or -7.5
Step-by-step explanation:
4x-13=17+8x
-13=17+4x
-30=4x
-7 1/2= x
A computer has 128 gigabytes of memory. One gigabyte is 1×10^9 9 bytes. By comparison, a floppy storage disk from the 1970's, holds about 80 kilobytes. There are 1000 bytes in a kilobyte. How many kilobytes of memory does a modern computer have? Express your answer in scientific notation and as a decimal.
Answer:
45
Step-by-step explanation:
find the slope of the line that passes through (-6, -2) and (-7, -2)
Answer:
[tex]0[/tex]
Step-by-step explanation:
We could use the Slope Formula to find the answer, but there's an easier way of doing it. Notice that the y-coordinates of both points are the same. This means that the line that passes through these points is horizontal, which makes our answer [tex]0[/tex] because all horizontal lines have a slope of [tex]0[/tex].
All horizontal lines have a slope of [tex]0[/tex] because the value of y never changes as the value of x changes, so if we were to input any two points on a horizontal line into the Slope Formula, our numerator would be [tex]0[/tex] (because anything subtracted from itself is [tex]0[/tex]), leaving us with a result of [tex]0[/tex] regardless of the denominator since [tex]0[/tex] divided by anything is [tex]0[/tex]. Hope this helps!
Can someone help me with cube roots?
Answer:
If you want help from someone else, I am available as well.
2. Jane bought three apples and two oranges. The total amount she paid was at most Php123.00. If x represents the cost of each apple and y represents the cost of each orange, which of the following mathematical statements represents the given situation?
a 3x + 2y 123
b. 3x + 2y < 123
c. 3x + 2y > 123
d. 3x + 2y < 123
HELP MEEEE
Your multiple-choice selection has a typo. Notice that choice b and d is the same answer.
For at most we use the (<) symbol.
$3 per apple = 3x.
$2 per orange = 2y.
Answer: 3x + 2y < 123
HELP I JUST NEED THE ANSWER! TONS OF POINTS!!
Answer:
rational numbers and irrational numbers
Step-by-step explanation:
-5 rational
0.5 rational
the square root of 11 irrational
the square root of 16 is rational
2\3 rational
pi irrational
hope that helps i might be wrong
The principal at Marina Middle School wants to determine if the 120 students in the seventh grade prefer to visit Catalina Island or Camp Mosaic for their end-of-year trip. Which of the following is a representative sample of the population? Select all that apply.
expand and simplify (x - 2)(x + 1)
Answer:
X^2 - X - 2
Explanation:
multiply X by X, then X by 1, then -2 by X, and lastly -2 by 1 and combine like terms (X and -2X)
Please help me with this I don’t know how to do it
Answer:
ok
Step-by-step explanation:
Will mark brainliest for whoever shows their work
Answer:
Underfined
Step-by-step explanation:
There are no values of
x
that make the equation true.
Undefined
brainiest:):):):):):):):)
Answer:
1 meter is 100 cm so it’s 5cm to 100cm or 1 cm to 20 cm (left side being the drawing)
Hope this helps and brainliest pl
The highlighted areas represent bases. What is the lateral surface area
of the shape?
Help me please I need to pass this test
Answer:lol
Step-by-step explanation
The sum of three consecutive numbers is -12. Find the sum of the integers?
Answer: -3, -4, -5 are the integers
Step-by-step explanation: I don't get what you mean in this problem. You said the sum was -12 but then you are asking for the sum again? Do you want the integers? If so they are -3 -4 and -5 and if you want the sum then it is -12
I hope this helps and brainliest would be appreciated
PLEASE HELP! EASY MATH!
Solve the inequality.
2x ≤ 3/2
Answer:
x ≤ [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
2x ≤ [tex]\frac{3}{2}[/tex] ( multiply both sides by 2 to clear the fraction )
4x ≤ 3 ( divide both sides by 4 )
x ≤ [tex]\frac{3}{4}[/tex]
Answer:
[tex] \sf \: x \leqslant \frac{3}{4} [/tex]
Step-by-step explanation:
Given equation,
[tex] \sf \rightarrow \: 2x \leqslant \frac{3}{2} [/tex]
Now the value of x will be,
[tex] \sf \rightarrow \: 2x \leqslant \frac{3}{2} [/tex]
[tex] \sf \rightarrow \: x \leqslant \frac{3}{2 } \times \frac{1}{{{2}}} [/tex]
[tex] \sf \rightarrow \: x \leqslant \frac{(3 \times 1)}{(2 \times 2)} [/tex]
[tex] \sf \rightarrow \: x \leqslant \frac{3}{4} [/tex]
Hence, the value of x is 3/4.
MATH HELP. ( please answer both questions ) thank you !
Answer:
A. 3500
B. The wall is unidentified, therefore we have to multiply 6 and 50 to recieve a, the height.
Step-by-step explanation:
How are ∠1 and ∠4 related *please help*
Answer: They are adjacent
Step-by-step explanation:
Solve by factoring
x 13x +36= 0
The zamboni can resurface 1200 square feet per minute. How many minutes will it take the zamboni to resurface the entire rink if its dimensions are:
a. 80 ft X 300 ft?
b. 75 ft x 160 ft?
c. 100 ft x 210 ft?
Find the area of a trapezoid, given the bases b1 = 5.6 cm and b2 = 8.5 cm and height h = 6 cm.
1. 84.6 cm2
2. 25.3 cm2
3. 42.3 cm2
Answer:
8.5 + 5.6 = 14.1 x 6 = 84.6 divided by 2 = 42.3