Answers
x^2 = the first integer
(x - 1)^2 = the second integer.
x^2 - (x - 1)^2 = ?
First, let's plug a number into our equation for x.
(2)^2 - (2 - 1)^2 = ?
4 - (1)^2 = ?
4 - 1 = 3
As we can see the difference is odd but it's also the sum of the two consecutive integers.
2 + 1 = 3.
This works for all numbers. Let's plug another number into our equation for x.
(4)^2 - (4 - 1)^2 = ?
16 - (3)^2 = ?
16 - 9 = 7
4 + 3 = 7
Try any number and it will always be odd.
Related Questions
greastest common factor of 24 and 18
Answers
Answer: 6
Step-by-step explanation:
the biggest number that can go into both 24 and 18 evenly is 6. 24/6 is four, and 18/6 is three
What is the easiest way to learn math?
Answers
Answer: being positive
Step-by-step explanation:try to take math as your favorite subject and just let the negative thought about math Flow away..try to listen to the teacher keenly as u do in your best subject
Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?
Answers
Answer:
56 underwater breathing potions
Explanation:
Create variables to represent the different potions
- flying = f underwater breathing = b mind reading = m
Make equations to represent all of the information you've been given.
- The number of flying potions is ten more than the number of mind reading potions. f = r + 10
- The number of water breathing potions is two more than three times the number of mind reading potions. b = 3r + 2
- The total number of potions is 102. f+b+r = 102
Substitute the variable in your equation for the total number of potions.
102 = (r +10) + (3r + 2) + r = 102
Combine like terms.
102 = 5r + 12
Solve for r.
90 = 5r
18 = r
You have to find the number of underwater breathing potions, b. Go back the equation for b and substitute 18 for r.
b = 3r + 2
b = 3(18) + 2
b = 56
So, your total number of underwater breathing potions is 56.
Find the product. -8x^5y^2 * 6x^2y
Answers
Answer: -48x^7 y^3
Step-by-step explanation: Simplify the expression.
I hope this helps you out. :)
Point E is between segment DF. The length of DE is 3x - 1, EF is 13 and DF is 6x, find DF.
Answers
Answer:
The correct answer to this problem is x = 4.
Step-by-step explanation:
To solve this problem, we can set up an equation using the given information. We know that Point E lies along the segment DF, so we can write:
DE + EF = DF
Now, we can substitute the values given into our equation.
(3x-1) + (13) = 6x
The next step is to eliminate the parentheses and combine like terms on the left side of the equation.
3x - 1 + 13 = 6x
3x + 12 = 6x
Next, we should subtract 3x from both sides to move all of the variable terms to the right side of the equation.
12 = 3x
Finally, we can divide both sides by 3, in order to completely isolate the variable x on the right side of the equation.
4 = x
Therefore, the correct answer is x = 4.
Hope this helps!
r-85=114 what is the awnser
Answers
Answer:
[tex]r=199[/tex]
Step-by-step explanation:
hopefully that was the answer you were looking for
Answer:
1.34117647059
Step-by-step explanation:
114 divided by 85 =1.34117647059
hope this helps
Charmaine is on the swim team. Each week she swims a total of 6,000 meters. How many kilometers does she swim each week?
Answers
Answer:
1000m = 1 km
:. 6000m=6000/1000 =6km ans
hope it helps
plz mark as brainliest.
for rectangular prism rewrite the formula to find the length in terms of area, width, and height
Pls help T-T. Im offering 38 points for this question
Answers
The formula to find the volume is [ v = whl ]
v = volume
w = width
h = height
l = length
We need to solve for l.
v = wdl
Divide wd to both sides
v/wd = l
Best of Luck!
which shapes are congruent to shape I in question 1
Answers
Answer:
Step-by-step explanation:
sample answer:
Shapes II, IV, and V are all congruent to shape I.
Use the Distributive Property to simplify 8(y+3)
Answers
[tex]8y+24[/tex]. you multiply all of the values in the parentesys.
Answer:
[tex]\huge\boxed{\sf{8y+24}}[/tex]
Step-by-step explanation:
Hello.
Let's recall that the Distributive Property states that
a(b+c)=ab+acUsing the formula, let's simplify:
8(y+3)
Multiply 8 times y and 8 times 3 and add the products:
8y
24
Add:
8y+24
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
An airplane can fly at a rate of 600 miles per hour. How fast does an airplane travel per minute?
Answers
(There are 60 minutes in 1 hour)
1)First we can start of by dividing 600 by 60
2)You should get the answer of 10
Answer: 10 miles per minute.
Answer: It travels 10 miles per minute
Step-by-step explanation:
Divide 600 by 60
What does 3/4 + 1/6 =
Answers
Answer:
The answer is 11 /12 or 0.916667
Explanation:
Consider this equation 2,900 = 250 + 132.5T. In this situation, what would the solution
to this equation tell us?
Answers
Answer:
T = 20Step-by-step explanation:
Given the equation 2,900 = 250 + 132.5T, to get the solution of the equation, we will find the value of T as shown;
From 2,900 = 250 + 132.5T
subtract 250 from both sides;
2,900- 250 = 250 + 132.5T-250
2,650 = 132.5T
Divide both sides by 132.5
132.5T/132.5 = 2650/132.5
T = 20
Hence the solution to the equation tells us that the value of T is 20
Consider the function represented by 9x+3y = 12 with x as the independent variable. How can this function be
written using function notation?
ORD=-v+
O f(x) = -3x+4
OF) = -3y+ 4
Answers
Answer:
f(x) = -3x + 4Step-by-step explanation:
Given function:
9x + 3y = 12Putting this into slope-intercept form: y = mx + b
9x + 3y = 123y = -9x + 12y = -3x + 4Replacing y with f(x)
f(x) = -3x + 4Use elimination to solve and match each system of equations to the correct solution.
5x+12y=-34
2x+4y=-12
Answers
Answer:
x = -2 y= -2
Step-by-step explanation:
5x+12y= -34
2x+ 4y = -12
2x= -4y -12
x= -2y -6
plug back in
5(-2y -6) +12y = -34
-10y -30 +12y = -34
2y = -4
y= -2
2x+4y=-12
4y= -2x -12
y= -.5x -3
plug back in
5x+ 12(-.5x-3)=-34
5x -6x -36 = -34
-x = 2
x= -2
Answer:
Step-by-step explanation:
5x + 12y = -34
-6x - 12y = 36
-x = 2
x = -2
5(-2) + 12y = -34
-10 + 12y = -34
12y = -24
y = -2
(-2, -2)
-3x + 7= 28
what does x equal
Answers
1st step move the seven to the other side of the equal sign and change it from positive to negative like this
-3x=21
Step 2 divide 21 by -3 and the answer will be -7
Answer:
x = -7
Step-by-step explanation:
[tex]-3x+7=8[/tex] subtract 7 on both sides
[tex]-3x=21[/tex] divide -3 into both sides
[tex]x=-7[/tex]
To check
-3(-7) = 21 + 7=28
Find the missing term in the pattern. 2,8, 27, 85, 260, ___, 2365
Answers
Answer:
260 x 3 + 6 = 786Step-by-step explanation:
2 x 3 + 2 = 8
8 x 3 + 3 = 27
27 x 3 + 4 = 85
85 x 3 + 5 = 260
and so on..........
why is the following conditional logically true? If 20 is a multiple of 3, then 101 is a perfect square
Answers
Answer: A number is a perfect square only if it has a odd number
Step-by-step explanation:
As an example of the use of the prime factorization of an integer, we have the following result. Theorem. If n > 1 is a positive integer, then n is a perfect square if and only if n has an odd number of divisiors.
Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square that will be correct.
What is the reasoning?The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.
Given the first statement
20 is multiple of 3
Since 20/3 given remainder of 3 so it is not multiple.
So the first statement is wrong.
So if the question is saying this it means the question will consider all correct statements as wrong.
Now,
101 is a perfect square is wrong but the question will consider it correct.
Hence "Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square".
For more about reasoning,
https://brainly.com/question/2923977
#SPJ2
Simplify the expression: 2( 5 t + J) + 3( 2t + 4 J )
Answers
Answer:
16t + 14J
Step-by-step explanation:
1) First, you have to multiply the numbers
New Expression: 10t + 2J + 6t + 12J
2) Now, you have to find the like terms and add them together
New Expression: 16t + 14J
Hope this helps!
Please help me the question is on the file ;-;
Answers
Answer:
D) 3x + 15 ≥ 300
Step-by-step explanation:
The rectangle must have a area of AT LEAST 300 square ft, or 300 or greater. Use the greater than or equal sign: ≥ 300.
Note that your are solving for the area, and that this shape is a rectangle. To get the area of the rectangle, simply multiply length and width:
(3) * (x + 5) = Area of rectangle.
Distribute the 3 to all terms:
3(x + 5) = 3x + 15 = Area of rectangle.
Put the two parts together:
3x + 15 ≥ 300.
~
Answer:
The last answer.
Step-by-step explanation:
The area of a rectangle is
Area=(width)*(length)
If we substitute the 2 given values into the formula we will get
Area= 3(x+5)
=3x+15
Since it's asking that it has to be "at least 300", it's saying that the equation has to be 300 or more.
3x+15>(less than or equal to) 300.
Solve -4(3x – 7) = 52 for x.
Answers
Answer:
x = -2
Step-by-step explanation:
First, distribute:
-12x + 28 = 52
Then, subtract 28 on both sides:
-12x = 24
Finally, divide -12 on both sides:
x = -2
Hope this helps!
Answer:
Your answer is x= -2
Step-by-step explanation:
[tex]-4(3x-7)=52[/tex] divide both sides by -4
[tex]\frac{ -4(3x-7)}{-4} = \frac{52}{-4}[/tex] cross out -4 and divide 52 by -4= -13
[tex](3x-7) = -13[/tex] add 7 to both sides -13+7=-6
[tex]3x= -6[/tex] divide both sides by 3
[tex]\frac{3x}{3} = \frac{-6}{3}[/tex] cross out the 3 and divide -6 by 3 = -2
[tex]x=-2[/tex]
Whats 1+1 ? I need help ASAP im rlly confused
Answers
Answer:
2
Step-by-step explanation:
hold one finger up, and add another, then count how many fingers you have
Answer:
2
Step-by-step explanation:
The Smith family put a rectangular garden in their back yard. The garden measured 15 34 feet long and 13 13 feet wide. Which is the best estimate of the area of the Smith's garden? Response area
Answers
Answer:
201.4 feet
Step-by-step explanation:
Area of a rectangular garden = length × width
Length of the rectangular garden = 15.34 feet
Width of the rectangular garden = 13.13 feet
Area of a rectangular garden = length × width
= 15.34 feet × 13.13 feet
= 201.4142 feet
Approximately 201.4 feet
The Area of the rectangular garden = 201.4 feet
Twice the sum of a number and 3 is equal to three times the difference of the number and 7. Find the number
Answers
Answer:
The number is 27
Step-by-step explanation:
Let us change the word statement to an algebraic equation
→ Assume that the number is x
→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2
→ The algebraic expression is 2(x + 3)
→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3
→ The algebraic expression is 3(x - 7)
→ Equate the two expressions
∴ 2(x + 3) = 3(x - 7)
→ Simplify each side
∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6
∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21
∴ 2x + 6 = 3x - 21
Let us solve the equation to find x
→ Subtract 6 from both sides
∴ 2x + 6 - 6 = 3x -21 - 6
∴ 2x = 3x - 21
→ Subtract 3x from both sides
∴ 2x - 3x = 3x - 3x - 27
∴ -x = -27
→ Divide both sides by -1
∴ x = 27
The number is 27
Write an equation for the description
The sum of 13 and a number x is equal to 15.
Answers
write quadratic function below in standard form
Y= -2(x+4)^2+4
Answers
Step-by-step explanation:
Y = -2(x+4)² + 4
= -2[x² + 8x +16] +4
= -2x² -16x -32 +4
= -2x² -16x -28
PLEASE HELP ASAP!!!!!
Answers
Answer:
D
Step-by-step explanation:
How does the outlier affect the standard deviation in the following set of data?
9 9 10 10 12 15 16 16 17 17 17 20 23 28
5.32
Removing the outlier lowers the standard deviation by 1.09
No outlier
4.23
Answers
Answer:
Removing the outlier lowers the standard deviation by 1.09
Step-by-step explanation:
Find the standard deviation of the data WITHOUT the outlier first.
If you don't know how to do standard deviation, here are the steps:
1. Find the mean
2. Subtract the mean by the data set values
3. Square the differences
4. Add the squared numbers together and divide by the number of data set values
5. What you have now is the variance, and all you have to do now is square the variance and you have the standard deviation
Repeat this, but WITH the outlier this time.
Final step, just subtract the smaller number (answer you got from the data with the outlier) by the greater number (answer you got from the data without the outlier) and you have your answer: 1.09!
Describe the transformation from the parent function to f(x)=(x−4)^2
Answers
Answer:
t665656yyt5ttr
Step-by-step explanation:
8 minus the quotient of 15 and x
Answers
Answer:
[tex]8 - \frac{15}{x}[/tex]
I hope this helps!
Answer:
8 - 15/x
Step-by-step explanation:
Quotient =
[tex]\frac{15}{x}[/tex]
So 8 minus the quotient of 15 and x equals
[tex]8-\frac{15}{x}[/tex]