Definitions:
A number, x, is even if it satisfies: x = 2n for some integer n
A number, x, is odd if it satisfies: x = 2k+1 for some integer k
Rewriting the Question:
In this case the question is asking if there is a number, x, that is has the following property:
x = 2n for some integer n AND x = 2k+1 for some integer k
Proof:
We can set these two equations equal:
2n = x = 2k + 1
2n = 2k + 1
2n - 2k = 1
2(n - k) = 1
Let number y = n - k. Note that since n and k are integers, n-k (and therefore, y) must also be an integer.
2y = 1
You can see on the left side (2y) that this becomes the definition of an even number! So the left side is an even number and the right side is 1. Since we know by definition that 1 is not an even number and k must be an integer (not 0.5), this equation becomes false.
As a result, there are NO numbers that can be both even AND odd.
distributive 8 (-b-4)
Answer:
-8b -32
Step-by-step explanation:
8 (-b-4)
Distribute
-8*b -4*8
-8b -32
SOLVE ATTACHMENT 30 POINTS!!!!!!
Answer:
[tex]B = \frac{6D + 18 {f}^{3} }{M} [/tex]Step-by-step explanation:
[tex] - 3 {f}^{3} + \frac{1}{6} MB = D [/tex]
Multiply through by 6 to eliminate the fraction
That's
[tex] - 18 {f}^{3} + MB = 6D[/tex]
Move - 18f³ to the right side of the equation
That's
[tex]MB = 6D + 18 {f}^{3} [/tex]
Divide both sides by M to make B stand alone
That's
[tex] \frac{MB}{M} = \frac{6D + 18 {f}^{3} }{M} [/tex]
We have the final answer as
[tex]B = \frac{6D + 18 {f}^{3} }{M} [/tex]
Hope this helps you
-2 = 7+3v
Solve for v
Answer:
[tex] - 2 - 7 = 3v[/tex]
or,
[tex] - 9 = 3v[/tex]
or,
[tex] - 9 \div 3 = v[/tex]
or,
[tex] -3 = v[/tex]
or,
[tex]v = - 3[/tex]
write the inverse of f(x) = x + 5
Answer:
f^-1(x) = x - 5
Step-by-step explanation:
f(x) = x + 5
y = x + 5
x = y + 5
y = x - 5
f^-1(x) = x - 5
Answer:
f^ -1(x) = x - 5
Step-by-step explanation:
y =x+5
To find the inverse, exchange x and y
x = y+5
Solve for y
Subtract 5 from each side
x-5 = y+5-5
x-5 = y
The inverse is x-5
how do i divide an equation over a negitive number?
Multiply both sides by negative four to get rid of the fraction
j+18=-32
subtract 18
j=-50
Angle B = 90 in triangle ABC. BM is altitude to AC. AB = 10 and AM = 2.5. Find MC
Answer:
MC =37.5
Step-by-step explanation:
In [tex] \triangle ABC,\: \angle B = 90\degree [/tex] and [tex] BM \perp AC.[/tex]
[tex] \therefore \angle AMB = 90\degree [/tex]
By Pythagoras Theorem:
[tex]AM^2 + BM^2 = AB^2 \\
BM^2 = AB^2 - AM^2 \\ BM^2 = {10}^{2} - {2.5}^{2} \\ BM^2 = 100 -6.25 \\ \red{BM^2 = 93.75} \\ now \: by \: geometric \: mean \: theorem : \\ BM^2 =AM \times MC \\ 93.75 = 2.5\times MC \\MC = \frac{93.75}{2.5} \\ \huge \orange{ \boxed{ MC =37.5}} \\ [/tex]
Solve the following equation for x: 2x – 3y = 6.
x= x + 3
x=y-3
3
x=--y-3
2
x= -
y + 3
Answer:
x = 3/2 y + 3
Step-by-step explanation:
2x – 3y = 6.
Add 3y to each side
2x – 3y+3y = 3y+6.
2x = 3y+6
Divide each side by 2
2x/2 = 3y/2 + 6/2
x = 3/2 y + 3
F is between C and B. If CF = 7x+4, FB = 10x -69, and CB = 12x -25. Find x and CF
Answer:
x = 8CF = 60Step-by-step explanation:
CF + FB = CB
(7x+4) +(10x-69) = (12x-25)
5x = 40 . . . . . . . . add 65-12x
x = 8 . . . . . . . . . . divide by 5
CF = 7x +4 = 7(8) +4 . . . . use the x value in the expression for CF
CF = 60
help me please:(((( i’m struggling pretty bad
3 / (4/9)
First, let's multiply the top and bottom by 9 to get rid of the fraction in the denominator.
27 / 4 is the final answer.
Answer:
31/9
Step-by-step explanation:
3 4/9 as an improper fraction is 31/9.
We get our answer by multiplying the denominator of the mixed numbers by its whole number and adding that answer to its numerator. We get 31, and we put that over the denominator.
3 4/9
9x3=27
27+4=31
31/9
What are the coordinates of the point on the directed line segment from (-6, -10)
to (6, 8) that partitions the segment into a ratio of 2 to 1?
Answer:
(2,2)
Step-by-step explanation:
what is the property of (4y+1)x 0=0
Answer:
lemme guess algebra test?
Step-by-step explanation:
What is the zero of 2x + 3y = 12
Answer:
6
Step-by-step explanation:
2x=-3y+12
x=-3/2x+6
6 is zero
Answer:
x/the zero=6
Step-by-step explanation:
Make the y zero
2x+3(0)=12
Hope this helps please mark me Brainiest
then you're left with 2x=12
dived from both sides
x=6
When Joseph first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50. Joseph's hourly rate R, in dollars, is a function of t, the number of years he works at the grocery store. Write the function's formula.
Answer:
R(t)=10+0.50t
Step-by-step explanation:
His rate is based on time, for the first side of the equation.
His beginning pay would be 10, so 10 would act as the y intercept. The rate increases by 0.50, so for every year (t) it would increase by 0.50, why you add 0.50 and multiply by the amount of years he works.
To decorate for a party, Simon needs 1,850 centimeters of colorful streamers. If the ratio of meters to centimeters is 1 : 100, how many meters of streamers does he require?
Answer:18.5m
1m=100cm
Let lenght of streamers in meters be x
Then(1/100)=(x/1850)
(1850/100)=x
18.5m=x
Which type of letters are used to name points?
Answer:
Points are Labeled with capital Letters, such aa P.
10) Select the relationship between each pair of quantities
that is not proportional.
A. A small pizza costs $9.00 and each additional topping cost
$0.75
B. A health club charges $45 per month.
C. A car travels 60 miles in 1 hour 120 in 2 hours and 180 miles
in 3 hours
D. A student earns $12 for each hour she tutors.
Answer:
A.
Step-by-step explanation:
Small pizza would have 12 toppings. Becuase $9.00 divided by 0.75 is 12. Meaning there would be 12 toppings on a small pizza.-E.A.
Which equation matches the following graph?
Answer: y = | x-2 | - 1
Step-by-step explanation:
If you graph or look at the numbers included, they match up with the one provided
Joseph drove to Carly's house for dinner. He was away from his house for 2 hours. He spent 50 minutes at Carly's house. Driving to and from Carly's house he drove at a speed of 45mph. How far away from Carly does Joseph live?
Answer:
I'd say about 30 minutes away
Step-by-step explanation:
Find the value of x and AC if the midpoint of segment AC is B. AB = 8x and BC = 6x + 24 Draw and label a picture to help you. x = Question Blank type your answer... and AC = Question Blank type your answer... Help me please!!!!!!
Answer:
x=12
Step-by-step explanation:
plug in 12 to x and results will make sense
Suppose y varies inversely with x. If y = 150 when x = 2, find y when x = 25.
Answer is 12
I hope this helps enough
True or false, 4x-3+x+7 would equal 5x-10
Answer:
false
Step-by-step explanation:
if you simplify you get 5x+4=5x-10, which is false
Answer:
False
Step-by-step explanation:
Step 1:
4x - 3 + x + 7 = 5x - 10
Step 2:
5x - 3 + 7 = 5x - 10
Answer:
5x + 4 ≠ 5x - 10
Hope This Helps :)
i beg someone to answer ive posted this 3 times and im still not sure how to do it.....
Which of the following is the best estimate for the number of seconds which have elapsed since the start of the year 2000?
(note: date was June 2001)
A) 3 X 10⁴
B) 3 x 10⁵
C) 3 x 10⁶
D) 3 X 10⁷
E) 3 X 10⁸
(with working out please)
Answer:
D) 3 X 10⁷
Step-by-step explanation:
Estimated days:
Jan 2000 to June 2001 = 1.5 years = 365*1.5 days ≈ 548 days1 day = 24 hours = 24*60 minutes = 24*60*60 seconds = 86400 seconds548 days = 548 * 86400 seconds = 47347200 ≈ 4.7*10⁷Best estimate is D) 3 X 10⁷
A. 67
B. 47
C. 52
D. 26
Answer:
Step-by-step explanation:
22 - 55 + 4x = 2x + 7
4x - 33 = 2x + 7
2x - 33 = 7
2x = 40
x= 20
22 - 55 + 4(20) = 2(20) + 7
80 - 33 = 40 + 7
47 = 47
answer is B
Answer:
The answer is B
Step-by-step explanation:
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answer:
a = 1Step-by-step explanation:
equation given: a - 2(4 - a) = 7a - 12
distribute and expand the equation
a - 8 + 2a = 7a - 12
combine similar terms:
a + 2a - 7a = -12 + 8
simplify:
-4a = -4
a = -4 / -4
a = 1proof that a = 1
a - 2(4 - a) = 7a - 12
1 - 2(4 - 1) = 7(1) - 12
1 - 2(3) = 7 - 12
1 - 6 = -5
-5 = -5 therefore, the a = 1 is correct.
Steps to solve:
a - 2(4 - a) = 7a - 12
~Distribute left side
a - 8 - 2a = 7a - 12
~Combine like terms on the left side
-a - 8 = 7a - 12
~Add 8 to both sides
-a = 7a - 4
~Subtract 7a to both sides
-8a = -4
~Divide -8 to both sides
a = 1/2
Best of Luck!
4X-3 (x²+2x)
Find (f-g) (4)
Answer:
-11
Step-by-step explanation:
assuming 4x-3 = f(x) and the other equation = g(x)
(4x-3) - (x^2 +2x)
(4(4)-3) - (4^2 +2(4)
(16-3)-(16+8)
(13)-(24)
-11
525600 written out plz nd thxs
Answer:
Five hundred twenty-five thousand six hundred
Step-by-step explanation: I am assuming you mean word form?
Answer:
five hundred twenty-five thousand, six hundred
Step-by-step explanation:
Enter the decimal value positioned at point B.
Answer:
-2.25
Step-by-step explanation:
each mark represents 0.25
Decimal value positioned at point B is -2.25
What is Number system?A number system is defined as a system of writing to express numbers.
A number line can be defined as a pictorial representation of numbers on a straight line.
In the given number line each line represents 0.25 (zero point two five value).
As B is in between -2 and -3.
So B value is between minus two and minus three
The values which can be between -2 and -3 are -2.25, -2.5, -2.75.
The decimal value positioned at point B is -2.25
Hence decimal value positioned at point B is -2.25
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
1/3 (6y - 9) = -2y + 13
Answer: 3,75 ( 15/4)
Step-by-step explanation:
1/3 (6y - 9) = -2y + 13
6y/3 - 9/3 = - 2y + 13
2y - 2 = - 2y + 13
2y + 2y = 13 + 2
4y = 15
y = 15/4
y = 3,75
Question 6
1 pts
Paran had $85.58. He bought a book for $24.98 and a pack of pens for $2.49.
About how much money does Paran have left?
Between $55.50 and $57.50
Between $57.50 and $59.50
Between $59.50 and $61.50
Between $61.50 and $63.50
Onestion 7
2 nits
Y
Answer:
Between $59.50 and $61.50
Step-by-step explanation:
Since this is about, we have to round the numbers.
85.58 is rounded to 86
24.98 is rounded to 25
2.49 is rounded to 2.50
Therefore:
86 - 25 - 2.50 = 59.50
So the correct answer is #3
7 + 2x/3=5
what’s x?