If 4 - 3 + 5 = -6 + 8 + 4 is a mathematically correct statement, then both sides should end up with the same number:
4 - 3 + 5 = -6 + 8 + 4 Original statement.
1 + 5 = -6 + 8 + 4 You can do this in any order, but I start by doing the 4 - 3.
6 = -6 + 8 + 4 Finish simplifying the left side.
6 = 2 + 4 Combine the -6 and 8.
6 = 6 Finish simplifying the right side.
Because both sides are equal to each other, the sentence must be true.
Therefore, the sentence is true because when simplified, the statement is 6 = 6.
Hope this helps! :)
EDIT: Just incase anyone is curious, both this way and the way the other guy used both work, as they both prove that both sides are equal.
Can you check my paper? If I got any wrong please tell me the correct answers.
There is a lot to go over here. Unfortunately it looks like you got a lot incorrect. I'll focus on two problems. Hopefully these examples below will help correct the other mistakes.
---------------------------------------------------------
Problem 7)
We have the starting value be 20 and the ending value be 11. Subtract the values: (end)-(start) = 11 - 20 = -9. The negative indicates we have a drop or decrease.
We'll focus on the positive version of this number, so 9. Divide this value over the starting amount 20 to get 9/20 = 0.45 = 45%
So going from 20 miles to 11 miles is a decrease of 45%
Answer to problem 7 is: 45%
---------------------------------------------------------
Problem 13)
An increase of 300% means we added 3 times the original amount onto the original amount.
We take 300% of 25 to get 3*25 = 75
Which is then added onto 25 to get 25+75 = 100
Answer to problem 13 is: 100
Subtract. 405,000,000-1.7×10^8
405,000,000 - 1.7×10^8
= 4.05 × 10^8 - 1.7 × 10^8
= (4.05 - 1.7) × 10^8
= 2.35 × 10^8
Hope it helps
20 POINTS!!!!!!!!!! FIRST ANSWER OF BOTH GETS 5 STAR AND BRAINLIEST!
if f(x)=3x+1 Find the domain if the range x is 4 5 6
if f(x)=x+10 Find the domain if the range is x 10, 4, -6
f(x)=3x+1, range x={4,5,6} --> domain is a set of values {13, 16, 19}
f(x)=x+10, for x={10,4,-6} domain is a set of {4, 14, 20}
Mike and his bestfriend dan have the same birthday, but mike is three years older than dan. Let the variable x represent mikes age and y represent dans age. Which graph represents the relationship between Dans age and Mikes age ?
x=Mike's age
y=Dan's age
It is given that,Mike is three years older than dan.
→ x=y+3
If you will draw the graph of the function, it will cut x axis at (3,0) and y axis at (0,-3).
⇒Graph-2
The graph that represents the relationship between Mike's age and Dan's age (y), is Option A with a positive slope of 1.
Relationship between Dan and Mike's ageThe relationship between Dan's age and Mike's age can be represented by a linear equation, where Mike's age (x) is three years older than Dan's age (y).
Therefore, the graph that represents this relationship would be a straight line with a positive slope of 1 and a y-intercept of -3.
The equation for this relationship would be:
x = y + 3
Read on Linear equation on https://brainly.com/question/14323743
#SPJ4
The product of 10 and m is less than 22
If you want an inequality, it would be 10m≤22 but the sign doesn't have a line under it
(couldn't find the one without the line)
If you want to solve then m≤2.2 and the line isn't under the sign
John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks. If John pays for 12 weeks of guitar classes from his account, his account balance will be what?
Polynomial Equations word problem
(Screenshot included)
If the width is 3 less than the height, we can say that the width is x, and the height is x+3. As the tank is square based, we can say that the length is also x. If the tank has a capacity of 20, this is the volume of the tank. Using the formula for volume, we get (x)(x)(x+3)=20. We multiply this out to get x^3+3x^2=20. If we think this one through, we can realize that 2 works for x, as 8+12 = 20. This means that the dimensions are 2 by 2 by 2+3, or 5.
The radius of a circle is 2 millimeters.what is the circles circumference ?
Answer is provided in the image attached.
(y^2)^3 = rewrite the expression in the form of y^n
When multiply two power expressions, that both have the same base, we can simply add the exponents.
For the first image that you provided:
y^(3/4) x y^(1/3) = y^(3/4 + 1/3) = y^(9/12 + 4/12) = y^(13/12)
Let me know if you have any further questions!
Plz mark as brainliest
The expression (y^2)^3 can be rewritten as y^6 using the rule of exponents that states when you raise a power to a power, you multiply the exponents.
Explanation:The expression (y^2)^3 can be rewritten in the form of y^n using the rule of exponents which states that when you raise a power to a power, you multiply the exponents.
Here, we have y raised to the power 2, and that result is being raised to the power 3. We multiply these exponents together (2*3) to get 6. Thus, the rewritten expression is y^6.
Learn more about Rule of Exponents here:https://brainly.com/question/35471587
#SPJ2
(05.05)On the coordinate plane below, what is the length of AB?
the lenght of the picture is 14
A square pyramid has base edge length 10 cm. The slant height of the pyramid is 13 cm. What is the volume of the pyramid?
Which of the following is a method used to solve systems of equations? A. Substitution B. Graphing C. Gaussian elimination D. All of the above
The method that is used to solve systems of equations is D. All of the above.
Based on the information, it should be noted that the substitution method, graphing, and the Gaussian elimination can all be used to solve a system of equations.The graphing method is the use of graphs. Substitution and Gaussian elimination methods are typically used to find the variables in a simultaneous equation.Therefore, the correct option is all of the above.
Read related link on:
https://brainly.com/question/11315065
9x^2+4y^2+54x+8y-59=0
An ellipse in that needs to be in standard form
Please explain how to do
The standard form of an ellipse is
[tex] \dfrac{(x-x_0)^2}{a^2}+\dfrac{(y-y_0)^2}{b^2}=1 [/tex]
Let's try to complete some squares: if we focus on the part involing x, we have
[tex] 9x^2+54x = 9x^2+54x+81-81 = (3x+9)^2-81 = 9(x+3)^2-81 [/tex]
Similarly, for the part involving y, we have
[tex] 4y^2+8y = 4y^2+8y+4-4 = 4(y+1)^2-4 [/tex]
So, the equation becomes
[tex] 9(x+3)^2-81 + 4(y+1)^2-4 - 59=0 \iff 9(x+3)^2+ 4(y+1)^2-81-4-59=0 \iff 9(x+3)^2+ 4(y+1)^2 = 144 [/tex]
Divide both sides by 144 to get
[tex] \dfrac{(x+3)^2}{16}+ \dfrac{(y+1)^2}{36} = 1[/tex]
which is the standard form
Answer:
D
edge
Step-by-step explanation:
QUICKLY!
The equation y = 43x represents the number of miles Alicia drives over time, where y is the number of miles and x is time in hours. This table shows the number of miles Trish drives over time.
How many miles does each woman travel per hour, and who drives at a slower rate?
Select from the drop-down menu to correctly complete the statements.
Answer:
Alecia drives at a slower rate than Trish, according to my math, too lazy to explain, please just believe me.
46 MPH for Trish.
Step-by-step explanation:
Please mark Brainliest!
Alecia drives at 43 mph and Trish drives at 46 mph. Alecia drives slower than Trish.
Find the missing number to complete this division fact. 63 ÷ ∎ = 9
1/9(x+18)+1/3(2x+3)=x+3
First : Distributive Property
(1/9∙x)+(1/9∙18)
1/9x+18/9
(1/3∙2x)+(1/3∙3)
1/9x+2+2/3x+1=x+3
Second : Rearrange
1/9x+2/3x-x+3-2-1
Third : Solve! :D
-7/9x=0
7/9x=0
x=0
in a sequence, the first term is 1 and the second term is 2. each additional term is equal to the sum of all previous terms. what is the value of the first term in this sequence that is greater than 100? a. 101 b. 109 c. 128 d. 144 e. 192
Solution
The general form of the n-th term = a + (n-1)d
Here we are given the 1st term (a) = 1
2nd term = 2
So the sequence is
1, 2, 3, 4, 5 , 6, 7, 8, ....................100, 101, 102....
The value of the first term in this sequence that is greater than 100 is 101.
Answer is a. 101
If the outlier is removed, what is the mean of the data set below
Based on the data set: 21, 23, 19, 25, 83, 23, 21...83 is clearly the outlier
To find the mean, all we have to do is add up all the remaining numbers (since we got rid of the 83) then divide them by how many numbers were added
21 + 23 + 19 + 25 + 23 + 21 = 132
Now we divide 132 by how many numbers were added (6)
132 ÷ 6 = 22
Therefore, the mean of the data set is 22
Hope this helps you
-AaronWiseIsBae
Scott has 25 baseball cards in his collection. On his birthday, Scott’s grandfather gives him his collection of 100 baseball cards. Scott trades 50 of his cards at the baseball card shop. How many cards did Scott not trade?
Scott starts with 25 plus the 100 from his grandfather making 125 then subtract 50 that he traded so you get 75
44 is 11% of what number
A) 0.11= 44 • x; 272
B) 44 = 0.11 • x; 400
C) 44= 0.11 • x; 416
D) x= 44 • 0.11; 4.8
The number 44 is 11 percentage of the number 400, and the correct option is B) 44 = 0.11 * x ; 400
Given data:
The first number is represented as p.
The value of p = 44
The second number is represented as q.
The value of q = q
So, the percentage of the number is A = 11 %, where A = ( p/q ) * 100
On simplifying the equation:
11 = ( 44/q) * 100
q = 4 * 100
q = 400
Hence, the number is 400.
To learn more about percentage, refer:
https://brainly.com/question/12861068
#SPJ6
This is right ??
For 19- I did 5/11 in decimal is 0.4545 that’s correct?
For 20- 6/10 ?
For 21- 4/11?
For 22- 10/15?
It is correct ????? Help
Hi,
You are absolutely correct.
You need to write it in decimal form.
Here are the answers
19) 5/11 = 0.4545 (Repeating decimal)
20) 6/10 = 0.6 (terminating decimal)
21) 4/11 = 0.3636363 (Repeating decimal)
22) 10/15 = 0.666667 (Repeating decimal)
Thank you :)
Can someone help me to answer this plss..
The melting point of a lead-free solder alloy is 361°F. Your adjustable-temperature soldering iron is calibrated in °C. The soldering iron must be at least 100°C hotter than the solder melting point to work effectively. What is the minimum operating temperature for the soldering iron?
I am not sure what the answer is, so thanks for the free points?..
Simplify.
8^-4
8-^10 thats a fraction to
A) 8^-14
B) 8^-6
C) 8^6
D) 8^14
We have 8^(-4) over 8^(-10). The bases are both 8, so we subtract the exponents (numerator minus denominator).
[tex]\frac{8^{-4}}{8^{-10}} = 8^{-4-(-10)} = 8^{-4+10} = 8^{6}[/tex]
The final answer is choice C) 8^6
What is the length of the hypotenuse of the triangle? 26 ft 34 ft 68 ft 74 ft
Answer: 26 ft.
Step-by-step explanation:
In the given picture, there is a right triangle.
The legs of the right triangles are 10 ft and 24 ft.
To find the length of hypotenuse, we use Pythagoras theorem, we get
[tex]H^2=10^2+24^2\\\\\Rightarrow\ H^2=100+576\\\\\Rightarrow\ H^2=676\\\\\Rightarrow\ H=\sqrt{676}\\\\\Rightarrow\ H=26\ ft[/tex]
Hence, the length of the hypotenuse = 26 ft.
Pythagoras theorem says that the square of the hypotenuseis equal to the sum of the squares of the other two sides.Which is a factor of 6x^3y+6xy-12x^2-12
6x³y + 6xy − 12x² − 12 = 6(xy-2) * (x²+1)
(x²+1) is a factor of 6x³y + 6xy − 12x² − 12
Find the common difference in the outputs to help find the missing outputs in the table
ɑ 5 6 7 8 9
b 3.8 4.6 5.6 ? ?
we have been given table containing 6 points.
let the numbers at question mark (?) are x and y respectivelly so we can rewrite the table as:
[tex]\left[\begin{array}{cccccc}a&5&6&7&8&9\\b&3.8&4.6&5.4&x&y\end{array}\right][/tex]
In the first row we see that numbers increase by 1 so that clearly means a=4.
Now we need to find the common difference in the outputs to help find the missing outputs in the table.
4.6-3.8=0.8
5.4-4.6=0.8
we are getting common difference of 0.8 so that means missing values can be found by adding or subtracting 0.8 as per their position.
b=3.8-0.8=3
x=5.4+0.8=6.2
y=6.2+0.8=7
Hence the final answer is given by table:
[tex]\left[\begin{array}{cccccc}4&5&6&7&8&9\\3&3.8&4.6&5.4&6.2&7\end{array}\right][/tex]
Assignment: Function Equations Investigation
Create matching cards for these linear functions. Each column will have three representations of the same function. One representation is given to you; you must use it to complete the other representations in the column. Type in the table values and equations. To complete the graphs, use the draw feature in your word processor or print the assignment and scan or take a picture of the completed graphs to submit.
Function 1:
For the given table
[tex]\begin{array}{cc}x&f(x)\\-2&-2\\-1&1\\0&4\\1&7\end{array}[/tex]
you can plot the graph of the function (see first attached diagram). This function is linear and has equation f(x)=3x+4.
Function 2:
For the given function f(x)=-2x+3 you can create a table
[tex]\begin{array}{cc}x&f(x)\\-2&7\\-1&5\\0&3\\1&1\end{array}[/tex]
and plot the graph (see second attached diagram).
Function 3:
For the given graph of the function, you can find the function:
[tex]\dfrac{x-0}{6-0}=\dfrac{y-(-3)}{0-(-3)},\\ \\\dfrac{x}{6}=\dfrac{y+3}{3},\\ \\2(y+3)=x,\\ \\y=\dfrac{1}{2}x-3.[/tex]
Thus, the equation of the function 3 is [tex]f(x)=\dfrac{1}{2}x-3.[/tex]
The table will take a look
[tex]\begin{array}{cc}x&f(x)\\-2&-4\\-1&-3.5\\0&-3\\1&-2.5\end{array}[/tex]
The question deals with linear functions representation.For each given linear representation, create two additional: table values and a graph. Use the given information, like equation or table values or a graph, to calculate other forms.
Explanation:This assignment deals with creating matching cards for linear functions. For each linear function, you'll need to obtain two additional representations. Firstly, you should find the table of values which means identifying various x and y values that satisfy the function. For instance, if your given function is y = 2x + 3, just substitute different values into x and find the corresponding y-values.
Second is to derive the graph. You can do this by plotting the points you obtained for your table of values on a graph. You'll notice that all these points will fall on a straight line as it is a linear function.
The provided representation will guide you while creating your table and graph. For instance, if you are given the equation, figure out the slope and y-intercept because they're crucial to draw the graph and construct the table.
If presented with the table values, find the rate of change, which will be the slope, and a point on the table which gives you the y-intercept and hence give you an equation. Finally, if given a graph, find two points on the line then apply the slope-intercept form to find your equation and table values.
Learn more about Linear Functions here:https://brainly.com/question/31353350
#SPJ11
Please help with this one...
One of the fastest recorded speeds of an alligator on land is 8.8 m/s. Approximately, what is this speed in kilometers per hour? [1 kilometer = 1,000 meters] [1 hour = 60 minutes = 3,600 seconds]
A 2.444 km/h
B 6.336 km/h
C 31.68 km/h
D 0.244 km/h
Here we are given the speed in meter per second as 8.8 m/s.
Now we have to convert this speed into kilometers per hour.
We are also given :
1 kilometer = 1000 meters and
1 hour = 60 minutes = 3,600 seconds
Now let us convert 8.8 m/s into km/h
1 m/ sec = (1/1000) km / (1/3600) hr
1 m/ sec = 18/5 km /hr
8.8 m/ sec = (18/5) * 8.8 km /hr
8.8 m/ sec = 31.68 km/h
Answer: So the speed in kilometers per hour is 31.68 km/hr. (option C)
3x^2-28=2×^2+33 solving for x
Please help if you can! I’m trying to understand these.
Write an equation of the line in point slope form that passes through points (-15,7) and (5, -3)
y-7=1/2(x+15)
y+7=-2(x-15)
y-7=-1/2(x+15)
y+7=2(x-15)
Answer:
y - 7 = -1/2(x + 15)
Step-by-step explanation:
m = (7 + 3)/(-15 - 5)
m = 10/-20
m = -1/2
y - y₁ = m(x - x₁)
y₁ = 7; x₁ = -15
y - (7) = (-1/2)(x - (-15))
y - 7 = -1/2(x + 15)