Answer:
[tex]T(x)=\begin{cases}\frac{3x+1}{2} & x\text{ is odd} \\ \frac{x}{2} & x\text{ is even}\end{cases} \\ for \: instance \: start \: with \: 7 \: \\ which \: is \: an \: odd \: number \\ \frac{21 + 1}{2} = \frac{22}{2} = 11 \\ 11 \: is \: odd \\ \frac{11 + 1}{2} = 6\\ 6 \: is \: even \\ \frac{6}{2} = 3 \\ 3\: is \: odd \\ \frac{9 + 1}{2} = 5 \: \\ 5 \: is \: odd\\ \frac{15 + 1}{2} = 8 \\ 8 \: is \: even \\ \frac{8}{2} = 4 \\ 4 \: is \: even \\ \frac{4}{2} = 2 \: then \: 1 \\ [/tex]
Step-by-step explanation:
Can we connect to 1 for all numbers?
A general proof for a simple pattern seems almost impossible, probably a new branch of mathematics maybe needed to tackle this conjecture...
Helen wants to paint a rectangle with an area of
35 square feet on her wall. If the height of the rectangle is 3 feet,
what is the width of the rectangle? (Remember, area = length x width.)
Write an equation and solve.
Lauren invest $8000
Answer:
what are you wanting
Step-by-step explanation:
which of the following has the same value as 1/1000 20 points if right
A.
0.01
B.
0.001
C.
0.010
D.
0.100
asap
Answer:
It is B. 0.001.
1/1000 is 0.001
What is the sum of 3/12 and 2/4 ?
Answer:
9 / 12
Step-by-step explanation:
2 / 4
= ( 2 / 4 ) x ( 3 / 3 )
= ( 2 x 3 ) / ( 4 x 3 )
= 6 / 12
3 / 12 + 2 / 4
= 3 / 12 + 6 / 12
= ( 3 + 6 ) / 12
= 9 / 12
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex]\textsf{between there sum = ?}\\[/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: + \: \frac{2}{4} } \\ [/tex]
Now, find the LCM of 12, and 4 in denominator.Process how to find LCM of 4 and 12↓
[tex] \sf{\mathsf{\begin{array}{r | l} \underline2& \underline4 \: \underline {12 } \\\underline 2&\underline2 \:\underline 6 \\\underline3&\underline1 \: \underline3 \\ &\underline1 \: \underline1 \\ \end{array}} }\\ [/tex]
[tex] \sf{ LCM} = 2 \times 2 \times 3 \\ = 4 \times 3 \\ = 12 \\ [/tex]
The LCM of 12 & 4 is 12.[tex] \sf \leadsto{ \: \frac{3 + 6}{12} } \\ [/tex]
Add 3 and 6 to get 9.[tex] \sf \leadsto{ \: \frac{9}{12} } \\ [/tex]
Now, divide both numerator and denominator to get 3/4.[tex] \boxed{ \bf \leadsto{ \: \ \frac{3 }{4} }} \\ [/tex]
Therefore, the sum of 3/12 and 2/4 is 3/4.
How would I write out the diagram if A is a subset of B
Answer:
See image.
Step-by-step explanation:
See image.
Jacob said the product of 89 and 234 is 314.
How can you tell that his answer is wrong?
The product of 89 and 234 is 20826, not 314.
How to infer the correctness of a product
The multiplication of two positive integers equals another positive integer. Each term of a multiplication can be rewritten as sums of multiples of 10, which can be simplified by algebra:
[tex]89 \times 234[/tex] Given[tex](80 + 9) \times (200+30+4)[/tex] Definition of decimal numbers[tex](80 + 9)\times 200 + (80 + 9)\times 30 + (80+9)\times 4[/tex] Distributive property[tex]80\times 200 + 9\times 200 + 80\times 30 + 9\times 30 + 80 \times 4 + 9\times 4[/tex] Distributive property[tex]16000 + 1800 + 2400 + 270 + 320 +36[/tex] Definition of multiplication[tex]20826[/tex] Definition of addition/ResultBased on real algebra properties, we know that the product of 89 and 234 is 20826, not 314. [tex]\blacksquare[/tex]
To learn more on decimal numbers, we kindly invite to check this verified question: https://brainly.com/question/4708407
escribe los cinco primeros. multiplos de cada numero multiplos de 7 multiplos de 10
Answer:7 · 0 = 0 7 · 1 = 7 7 · 2 = 14
7 · 5 = 35 7 · 6 = 42 7 · 7 = 49
10 · 0 = 0 10 · 1 = 10 10 · 2 = 20
10 · 5 = 50 10 · 6 = 60 10 · 7 = 70
Step-by-step explanation:
Factor.
f(x)=6x2 - x - 2
([ ? ]x + [])([ ]x - [ ])
Answer: Factor 6x^2-x-1. 6x2 − x − 1 6 x 2 - x - 1. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 6⋅−1 = −6 a ⋅ c = 6 ⋅ - 1 = - 6, this should be right but if it isnt,u will have every right to get mad.
Step-by-step explanation:
Math 1 Graded Assignment Unit Test, Part 21 Polynor
(Score for Question 3:___ of 5 points)
3. Multiply the polynomials (+3a-7) and (24 - a + 4). Simplify the answer. Show your work.
Answer:
Answer:
9a-3
Step-by-step explanation:
a^2=2a+3a=5a-7+4=5a-3+(4a-a)=3a+5a=9a-3
Which of the following is true given that - 2/5 < 1/3
A.
is to the right of 1/3 on a horizontal number line
B.
is at the same place as 1/3 on a horizontal number line
C.
is to the left of 1/3 on a horizontal number line
D.
is the opposite of 1/3 on a horizontal number line
Answer:
C
Step-by-step explanation:
Is to the left of 1/3 on a horizontal number line.
5x−13x≥16 what’s the answer
x ≤ -2
Step-by-step explanation:
[tex]\begin{aligned}\tt 5x-13x&\geq 16\\\tt (5-13)x&\geq\tt 16\\\tt -8x&\geq\tt 16\\\tt 8x&\leq\tt -16\\\tt x&\leq\tt\frac{-16}{8}\\\tt x&\leq\tt -2\end{aligned}[/tex]
6
Last year, a minor league baseball team
won 75 games. This year the team won
12 fewer games than it won last year.
What is the percent decrease in the
number of games the team won?
F 16%
H 12%
G 20%
J
63%
Answer:
Step-by-step explanation:
h 12
Kara’s Custom Tees experienced fixed costs of $300 and variable costs of $2 a shirt. Write an equation that can be used to determine the total expenses encountered by Kara’s Custom Tees. Let x be the number of shirts, and let C(x) be the total cost of producing x shirts. Then, calculate the cost of producing 6 shirts.
An equation that can be used to determine the total cost of producing x shirts is C(x)= ___________
The cost of producing 6 shirts is $________
Answer:
c(x)=2x+300 and $312
Step-by-step explanation:
c(6)=2(6)+300
c(6)=12+300=312
How many teaspoons are in 1/2 cup
Answer:
there are 24 teaspoons in 1/2 cup
Trapezoid ZOID is congruent to trapezoid TRAP. If vertices 2 and have coordinates (0, -2) and (0, -5) respectively, which of the following could be possible coordinates for vertex
(4.-0,5)
0 (-3.5, -3)
(-1.5, 1
(-4.5.-5)
The trapezoids are congruent if the corresponding sides of each trapezoid are equal
The option that gives the possible coordinates for the vertex I is the option;
[tex]\underline{(-4.5, -5)}[/tex]
Reason:
The given coordinates of the trapezoid TRAP = T(3, 5), P(3 2), R(6, 5), and A(7.5, 2)
The given coordinates of the trapezoid ZOID = Z(0, -2), and D(0, -5)
Required: The possible coordinates for a vertex on ZOID
Solution:
The given points of the trapezoid are the height of the trapezoid ZOID
The possible vertex of I, and O are;
I(4.5, -5), I(-4.5, -5), O(3, -2), O(-3, -2)Therefore;
The option that gives the possible coordinates (position) of a vertex I is the option [tex]\underline{(-4.5, -5)}[/tex]
Learn more here:
https://brainly.com/question/12871672
Answer:
The trapezoids are congruent if the corresponding sides of each trapezoid are equal
The option that gives the possible coordinates for the vertex I is the option;
(-4.5.-5)
Step-by-step explanation:
Which number line correctly shows look at pic
Answer:
A - The first one
Step-by-step explanation:
Answer:
The first line.
Step-by-step explanation:
The line starts off at 0,
then it goes to the left of the line -3 times.
Then it goes to the left -1.5 times.
this means it goes one and a half.
so it would land on the line after -4.
Given the geometric Saquence 5.14, 45--- find the next three term & the tenth term
Answer:
Step-by-step explanation:
You have some mistakes in the sentence. Also, can you add more information? I'd be glad to help you
Given Number A = -2 and Number B = -1 1. What is the abolsute Value of A 2. What is the absolute Value of B
Answer:
answer A= 2 answer b = 11
Step-by-step explanation:
my teachers said cancel out the negatives
Which of the following graphs represents the equation −2 + = 10?
100, 20,4, 0.8, ...
What is the formula for this geometric sequence
Answer:
divide by 5
Step-by-step explanation:
100/5 20 20/5 4 4/5 0.8 etc
Which expression is equivalent to 6(14)?
6(1+40)
6(10+40)
6(10+14)
6(10+4)
Answer:
6(10+4)
Step-by-step explanation:
Hey, how are you?
I am trying to do 100 points for you guys just saying how you are daily!
Answer:
My day has been pretty okay!!
Step-by-step explanation:
Thank you for asking!!
Answer:
My day is going alright. Though, I am a bit stressed out since I am currently studying for an upcoming test.
What is the following product? Assume x>0
3√x^2 * 4√x^3
Answer: its c. x(12root x power 5)
Step-by-step explanation:
Please let me know if this is true or false
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Yes, The given statement is True
I need help ASAP please!!!!!!
When you divide a whole number by a decimal less than 1,
the quotient is greater than the whole number. Why? tar
9514 1404 393
Explanation:
We assume all the numbers considered here are positive.
Dividing by a number is the same as multiplying by its reciprocal. A fraction less than 1 can be represented as the ratio m/n, where m < n. The reciprocal of this fraction is n/m, where n > m. That is, the reciprocal of a fraction less than 1 is a number greater than 1.
When you divide by a number less than 1, you effectively multiply by a number greater than 1. That is why the quotient is greater than the original dividend.
is y=3 and x=5 perpendicular?
Answer:
yes
Step-by-step explanation:
One is a horizontal line, and the other is a vertical line.
Answer: Yes, if you graph the two lines, they have the negative recipricol of the other answer.
Step-by-step explanation:
If DG≈FG,DE=3v, and EF=v+48, what is the value of v?
Answer:
Step-by-step explanation:
As DF is perpendicular to EG and DG = FG, then the two triangles are congruent and therefore DE will equal FE
DE = FE
3v = v + 48
2v = 48
v = 24
Which absolute value function is equivalent to the piecewise function shown ?
A)
f(x) = |x| - 3
B)
f(x) = |x-3|
C)
f(x) = |x|+3
D)
f(x) = |x+ 3|
Answer:
I dont get what u are asking but i think it is 2X
Step-by-step explanation:
2X
List all the positive even numbers less than 10: