Answer:
I believe it would be no real number
Step-by-step explanation:
If you use PEMDAS and multiply the (5-2c) by 2 you get 10-4c. You'd then have to isolate the c and move it over by adding 4c to each side, which would make the inequality 0>10 or even if you flipped it to be -10>0. Both of which are false.
a and b are positive integers and a+b=2009!
what is the amount of ordered pairs of (a, b)?
Answer:
[tex]2000 \: and \: 9.[/tex]
[tex]it \: could \: be \: the \: sum \: of \: any \: two \: \\ positive \: integers \: so \: they \: are : \\ 2000 \: and \: 9[/tex]
Let's consider a much smaller value and work our way up to the factorial 2009!
Start with a+b = 2. The value 2 is the smallest right hand side possible since a > 0 and b > 0, so a = b = 1 is the smallest a,b possible.
The only solution to a+b = 2 is a = b = 1 as mentioned.
----------
Now move onto a+b = 3. We have two solutions:
a = 1, b = 2
a = 2, b = 1
-----------
Now move onto a+b = 4. We have three solutions
a = 1, b = 3
a = 2, b = 2
a = 3, b = 1
Note how 'a' counts up while b counts down. I have 'a' starting at the smallest value, and b is set to add with 'a', getting to the right hand side.
So 'a' counts up to 3, while b counts down from 3.
We cannot reach 4 since 0 is not allowed for a or b.
-------------
The conjecture is that a+b = k has k-1 positive integer solutions. A simple proof of this is to list out all solutions like so
a = 1, b = k-1
a = 2, b = k-2
a = 3, b = k-3
....
a = k-3, b = 3
a = k-2, b = 2
a = k-1, b = 1
Where k > 2
Going from 1 to k-1 is exactly k-1 items. It's similar to how {1,2,3,..,m} has m different integers in it. Replace m with k-1 and you have the same idea.
This confirms there are k-1 solutions listed above.
The last step is to simply replace k with 2009! and we have 2009! - 1 different ordered pair solutions
Since the factorial 2009! is so massive, it's best to not expand this out using a calculator. Many calculators would produce "overflow", or similar, if you tried to compute the factorial 2009!
If B = 3x^2-x+3and A=x-6, find an expression that equals 2B+3A in standard form?
Answer:
[tex]6x^{2} +x-12[/tex]
Step-by-step explanation:
All you need to do is multiply equation B by 2 and multiply equation A by 3, then put an addition sign between them and combine like terms after you've distributed what you needed for each one.
Which sequences of transformations confirm the congruence of shape II and shape I?
a reflection of shape I across the x-axis followed by a 90° clockwise rotation about the origin
a reflection of shape I across the x-axis followed by a 90° counterclockwise rotation about the origin
a reflection of shape I across the y-axis followed by a 90° counterclockwise rotation about the origin
a reflection of shape I across the y-axis followed by a 90° clockwise rotation about the origin
a reflection of shape I across the x-axis followed by a 180° rotation about the origin
A,B,C
Step-by-step explanation:
Answer:
A, B and C
Step-by-step explanation:
if a2+b2+c2=ab+bc+ca find a+b/b
Answer:
Step-by-step explanation:
a² + b² + c² = ab + bc + ca
On multiplying both sides by “2”, it becomes
2 ( a² + b² + c² ) = 2 ( ab + bc + ca)
2a² + 2b² + 2c² = 2ab + 2bc + 2ca
a² + a² + b² + b² + c² + c² – 2ab – 2bc – 2ca = 0
a² + b² – 2ab + b² + c² – 2bc + c² + a² – 2ca = 0
(a² + b² – 2ab) + (b² + c² – 2bc) + (c² + a² – 2ca) = 0
(a – b)² + (b – c)² + (c – a)² = 0
=> Since the sum of square is zero then each term should be zero
⇒ (a –b)² = 0, (b – c)² = 0, (c – a)² = 0
⇒ (a –b) = 0, (b – c) = 0, (c – a) = 0
⇒ a = b, b = c, c = a
∴ a = b = c.
hence
a+b/b
a+a/a= (since a=b)
2a/a=
a....
Which of the following is a possible value for X
Answer:
E)3
Step-by-step explanation:
4/3-1=2
3+1/2=2
First, You cross multiply.
(x - 1)(x + 1) = 8
x^2 - 1 = 8
Now subtract 8 from both sides.
x^2 - 9 = 0
x^2 - 9 is a difference between 2 squares.
(x + 3)(x - 3) = 0
For an equation with only multiplying to be equal to 0, one of its factors must be 0.
So either x + 3 = 0 or x - 3 = 0.
So x could be -3 or 3.
The answer is (E).
Hope this helps!
Janessa,has 18$. She buys a ticket to a movie and a smoothie. How much money dose she have left? Ticket: $8.75
Celery Sticks: $3.75
Smoothie: $2.85
What do you need to find before you can solve the problem?
A. The total amount of money Janessa has in her bank account.
B. The cost of a smoothie
C.The total amount of money Janessa had spent
D. The total amount of money Janessa has left.
Answer:
B. The cost of a smoothie
Step-by-step explanation:
The answer to the problem: 8.75 + 2.85 = $11.60
But to solve the problem you have to know the price of a smoothie.
Nool is a computer repairman, To fix a computer,
he charges a customer X per hour, plus a fired
lee of $15 for the service call, as represented by
the equation below
y = 40x + 15
In the equation, what is represented by the variable
A the number of hours Noel worked
the amount Noel charged per hour
C, the fixed fee for the service call
D. the total cost of the repair job
Can someone
8. PLS ANSWER!!!!
and show work
Answer:
The equation of the parallel line is y = 5x + 11
Step-by-step explanation:
→ Parallel lines have same slopes and different y-intercepts
→ The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptIn our question
∵ The equation of the given line is y = 5x + 2
→ Compare it with the form above to find its slope
∴ m = 5
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line is 5
→ Substitute it in the form of the equation above
∴ y = 5x + b
→ To find the value of b substitute x and y in the equation by the
coordinates of any point on the line
∵ The line passes through point (-2, 1)
∴ x = -2 and y = 1
∵ 1 = 5(-2) + b
∴ 1 = -10 + b
→ Add 10 to both sides
∴ 1 + 10 = -10 + 10 + b
∴ 11 = b
→ Substitute value of b in the equation
∴ y = 5x + 11
∴ The equation of the parallel line is y = 5x + 11
10 Brynlee's monthly cell phone bill
is $60 a month plus $2.50 per
gigabyte used. Raylin's cell phone bill is $450
per month plus $3.25 per gigabyte used.
Determine after how many gigabytes used
would the cell phone plans cost the same
for the month what is the answer??
Answer:
20 gigabytes
Step-by-step explanation:
Let n represent the amount of gigabytes used.
First make an equation for each senario, Brynlee's would be 60+2.50n and Raylin's would be 45+3.25n.
Set them to equal each other, 60+2.50n=45+3.25n.
Then isolate for n.
60-45=3.25n-2.50n
15=0.75n
Divide both sides by 0.75 to get 20
W(-5,1) reflect it across x=-3
Answer:
(-1,1)
Step-by-step explanation:
8/3 × (−2 1/2) = ?
Thanks!
Answer: -20/3
Step-by-step explanation:
Answer: It equals -8/3
-2x + 7 = x-2
What is this ? In the most simplest steps possible
Answer:
Let's solve your equation step-by-step.
−2x+7=x−2
Step 1: Subtract x from both sides.
−2x+7−x=x−2−x
−3x+7=−2
Step 2: Subtract 7 from both sides.
−3x+7−7=−2−7
−3x=−9
Step 3: Divide both sides by -3.
−3x /−3 −9 /−3
Answer:
x=3
Hope this helps
(>'-'<)
As x approaches infinity, for which function does f(x) approach negative infinity? Select all that apply. Select all that apply: f(x)=19x(3x+7)(x+12) f(x)=−23(x+4)(x−1)(x−5) f(x)=3x(x+4)(x+7)(x−9) f(x)=(4x−7)(3x+1)(2x−11) f(x)=−29x(2x+5)(2x−1)(x+8)(x−1)(x+4) f(x)=−45x(x+1)(x+5)(x+8)(2x+5)(2x−7)(4x+1)
Answer and explanation:
Please find answer and explanation attached
3.3...3 times 12 times equal in exponential form
Answer:
If you mean 3^12 then the answer is 531,441
Mrs. Greene wants to plant a vegetable garden in her yard. She purchased a package containing 30 sections of fencing, each 1-foot long If she uses all 30 sections to create rectangular space, how many different arrangements are possible? What is the largest area she can enclose for her garden with this fencing?
Answer:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
Step-by-step explanation:
Suppose the rectangular space Mrs. Greene wants to plant has dimensions x feet and y feet.
Since each section of fencing is 1-foot long, both x and y must be integer numbers.
The perimeter of the rectangular space is calculated as:
P = 2x + 2y
And we know she uses all 30 sections of fencing, thus:
2x + 2y = 30, where x, y are integers and positive.
Simplifying by 2:
x + y = 15
Solve for x:
x = 15 - y
This equation doesn't have infinitely many solutions, since both numbers must be integers and positive. Suppose we start by setting y=1, then x=14. That is a possible arrangement for the garden.
Another valid option is for y=2, x=13
Continuing with these patterns, we find the maximum value for y is 7, x=8, because if we set y=8, x=7, this is the same condition as y=7, x=8.
Thus, from y=1 to y=7, there are 8 possible combinations for the arrangement of the garden.
The area of a rectangle is
[tex]A=x\cdot y[/tex]
Testing some possible arrangements:
y=1, x=14
[tex]A=1\cdot 14= 14 ft^2[/tex]
y=2, x=13
[tex]A=2\cdot 13= 26 ft^2[/tex]
y=3, x=12
[tex]A=3\cdot 12= 36 ft^2[/tex]
We can notice the combination y=7, x=8 has an area of:
[tex]A=7\cdot 8= 56 ft^2[/tex]
This is the largest possible area of all combinations, thus:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
The number 4 and the number 4/1 are
exactly the same. Explain why.
Step-by-step explanation:
Hey there!
It's obvious that 4 and 4/1 are exactly same.
Reason: something divided by 1 is always a a number same in a numerator.
Example;
1. 7/1 = 7
2. 5/1 = 5
Hope it helps..
A and \angle B∠B are supplementary angles. If m\angle A=(5x-19)^{\circ}∠A=(5x−19)
∘
and m\angle B=(2x+10)^{\circ}∠B=(2x+10)
∘
, then find the measure of \angle B∠B.
Answer: 52
Step-by-step explanation:
4x+8 = 5x-3 by the Vertical Angles Theorem that states the vertical angles are congruent.
Subtract 4x from both sides and get:
8=1x -3
Add 3 to both sides:
11= 1x
if x =11, plug that in to angle A.
4x+ 8 becomes 4(11)+8 =
44+ 8=
52
x2 + 6 x+8 = 0
What is the factors
Answer:
Step-by-step explanation:
Which equation shows an example of the associative property of addition?
A. (–4 + i) + 4i = –4 + (i + 4i)
B. (–4 + i) + 4i = 4i + (–4i + i)
C. 4i × (–4i + i) = (4i – 4i) + (4i × i)
D. (–4i + i) + 0 = (–4i + i)
Answer:
I am pretty it's A
Step-by-step explanation:
Basically the Associative Law of Addition means that the order that the numbers are added does not matter.
Answer:
A. (–4 + i) + 4i = –4 + (i + 4i)
Step-by-step explanation:
edge2020
Have a great day y'all :)
Write a sentence as an equation using the given information in each problem.
1. Write the sentence as an equation.
the product of 371 and d is the same as 52
2. Write the sentence as an equation. n decreased by 320 is equal to 139
3. Write the sentence as an equation. 317 is equal to k plus 110
4. Write the sentence as an equation.
the total of 374 and k is the same as 305
5. Write the sentence as an equation. 398 is the same as d plus 6
Answer:
1. 371 × d = 52
2. n - 320 = 139
3. 317 = k + 110
4. 374 + k = 305
5. 398 = d + 6
Step-by-step explanation:
1. 371 × d = 52
d = 52/371
d = 0.14016172506
2. n - 320 = 139
n = 139 + 320
n= 459
3. 317 = k + 110
k = 317 - 110
k = 207
4. 374 + k = 305
k = 305 - 374
k = -69
5. 398 = d + 6
d = 398 - 6
d = 392
Eight less a number is less than or equal to seventeen. I want the solution to be simplified and I want x with my answer.
Answer:
x-8≤17
x ≤ 25
Step-by-step explanation:Ron Alotte and Dee Selerate ran a 20 km. Race. Dee made three 10 minute stops during the race to fix her shoes and rest and yet the two racers finished in a tie. If Ron ran the race at a constant speed of 8 km. Per hour, find Dee's average speed when running.
Answer:
10km/hr
Step-by-step explanation:
Given that:
Distance covered by both Dee and Ron= 20km
Ron's speed = 8km/hr
Dee made three 10 minute stops during the race.
Time it took Ron to cover 20km
Time = distance / speed
20km / 8km/hr = 2.5 hours = 150 minutes
Since they both tied ;
Running time of Dee = (150 - (3*10)) = 120 minutes = 2 hours
Ron's speed = distance / time
Speed = 20 km / 2hours
Speed = 10km/hr
Someone plz help me thank you.
Answer:
there are 438 blue marbles and 162 red marbles
Step-by-step explanation:
If we were doing it out of 100 there would be 73 blue marbles and 27 red marbles add 73 to 27 and you get 100 so multiply 73 by 6 and you get 438 and then multiply 27 by 6 and you get 162 and 438 to 162 and you get 600. Therefore your answer is 438 blue marbles and 162 red marbles.
hope this helps
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper how many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper
Given :
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.
To Find :
How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.
Solution :
Mass of copper in 50 gm alloy = [tex]50\times 0.12 = 6\ gram[/tex].
Mass of copper in 78 gm alloy = [tex]78\times 0.98 = 76.44\ gram[/tex].
Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.
Percentage of copper in resulting mixture :
[tex]\%=\dfrac{82.44}{50+78}\\\\\%=64.4\ \%[/tex]
Hence, this is the required solution.
I need help with this asap
Answer:
3\sqrt{3}
Step-by-step explanation:
look this up and it will give you the answer
pls mark brainliest
Answer:
The sqrt of 3 is an irrational number.
The sqrt of 9 is a rational number.
Step-by-step explanation:
Given: ΔABC, where AB = BC Prove: m∠BAC = m∠BCA Statement Reason 1. Let ΔABC be an isosceles triangle with AB = BC. given 2. Create point D on side so bisects ∠ABC. constructing an angle bisector 3. M∠ABD = m∠CBD definition of angle bisector 4. BD = BD Reflexive Property of Equality 5. ΔABD ≅ ΔCBD 6. M∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures. What is the reason for statement 5 in this proof? A. ASA B. SSS C. AAS D. SAS
Answer:
D. SAS
Step-by-step explanation:
Given: ΔABC
Bisecting <ABC to create point D implies that BD is a common side to ΔABD and ΔCBD.
Also,
m<ABD = m<CBD (angle bisector)
BA = BC (given property of the isosceles triangle)
Therefore,
ΔABD ≅ ΔCBD (Side Angle Side)
The reason for statement 5 in this proof is that ΔABD ≅ ΔCBD by SAS (Side-Angle-Side) relations of the congruent triangles.
Answer:
Option D is correct trust me
Step-by-step explanation:
Doug's Pizza Shop sells pizza for $12plus $3per topping "t". Jake'sPizza Shop sells pizza for $17plus $2per topping "t". Write an equation that willtell you how many toppings need to be on a pizza from each pizza place to make their pizza the same price.
Answer:
5 toppings
Step-by-step explanation:
Given that :
Doug's pizza:
Sales price of pizza :$12 plus
Topping (t) = $3 per topping
Jake's pizza:
Sales price of pizza :$17 plus
Topping (t) = $2 per topping
To make their pizza the same price, how many topping needs to be on a pizza of each
12 + 3t = 17 + 2t
3t - 2t = 17 - 12
t = 5
5 toppings each
When electrons flow with little resistance through a conductor it is called a
Answer:
The answer is free electrons
Step-by-step explanation:
When electrons flow with little resistance through a conductor, then it is called a Electricity.
What are electrons?"The electron is a subatomic particle whose electric charge is negative one elementary charge."
What is resistance?"Resistance is a measure of the opposition to current flow in an electrical circuit."
What is conductor?"A conductor, or electrical conductor, is a substance or material that allows electricity to flow through it. "
What is Electricity?The steady flow of electrons through a conductor is called electricity
Hence , if electrons are flowing that means they conducts electricity.
Learn more about electricity here
https://brainly.com/question/8971780
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Can someone Answer this please!
Answer:
I think the answer is A because Irrational numbers cannot be written in as a fraction but the do repeat at the point
Does 3 times 48 equal 4 times 36
Answer:
Yes
Step-by-step explanation:
3 x 48 = 144
4 x 36 = 144
They are equal.
Answer:
3 * 48 is 144 4 x 36 is also 144 so yes they are equal