The equation contains variables on both sides equals 18 can be written as (2x - 18) = x.
What is defined as the linear equation in one variable?A linear equation would be a type of equation with each variable's degree is completely identical to one.
Linear equations in one variable include those in which only one variable is present and there is only one solution to the equation. When drawn on the a graph, it appears to be either a horizontal or vertical straight line.Unknown quantities can be represented by any variable or symbol, but in most cases, a variable 'x' is used to symbolize the unknown quantity in a linear equation with one variable.Now, for the given question, the equation which could be represented in the form of variable on both side and has the solution equals to zero is;
(2x - 18) = x
The solution can be obtained as;
2x - 18 = x
Bring variable part on one side and constant on other.
2x - x = 18
x = 18.
Therefore, the equation with variables on both side the equals 18 is obtained as (2x - 18) = x.
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Consider 8x2 - 48x = -104.
Write the equation so that a = 1: x2 + __ = __
Complete the square:
x² - 6x + __ -13 + __ = __
Factor the trinomial and simplify:
(x + __ )² = __
Use the square root property of equality to solve (x-3)² = -4.
The solutions are ______.
Answer:
[tex]3+ 2\mathbf{i}[/tex]
[tex]3- 2\mathbf{i}[/tex]
Step-by-step explanation:
Quadratic Equation Solving
We have the equation:
[tex]8x^2-48x=-104[/tex]
Divide by 8:
[tex]x^2-6x=-13[/tex]
Now complete the squares so the left side is a perfect square of a binomial:
[tex]x^2-6x+9=-13+9=-4[/tex]
Factoring the perfect square:
[tex](x-3)^2=-4[/tex]
Taking the square root:
[tex]x-3=\sqrt{-4}[/tex]
The square root of a negative number is an imaginary number:
[tex]x-3=\pm 2\mathbf{i}[/tex]
Solving for x:
[tex]x=3\pm 2\mathbf{i}[/tex]
The solutions are:
[tex]3+ 2\mathbf{i}[/tex]
[tex]3- 2\mathbf{i}[/tex]
Answer:
Keep it simple: got this from above answer...
Answer:
Here's just the answers without all the work for easier reading.
Step-by-step explanation:
First problem answer: x2 + -6 x = -13
Second problem answer: x2 – 6x + 9 = –13 + 9
Third problem answer: (x + -3)² = -4
Fourth problem answer: 3 + 2i
Step-by-step explanation:
12-1/5r = 2r +1 solve for r
Answer:
r=5
Step-by-step explanation:
1.simplify both sides of the equation.
2.substract 2r from both sides.
3.substract 12 from both sides.
4.multiply both sides by 5/(11)
5. your answer will be 5.
r=5
A bank says you can double your money in 8 years if you put $2,000 in a simple
interest account. What annual interest rate does the bank pay?
1%
25%
2.5%
12.5%
Answer:
1%
Assuming that interest is paid yearly,
4000 = 2000*(1+x)^8
2 = (1+x)^8
1 + x = root of 2 in 8th degree (2^1/8)
x = 2^1/8 - 1
x = 0.0905
or 0.01
I.e. 1%
Answer:
12.5
Step-by-step explanation:
2000 / 12.5 = 225
225 x 8 = 200
The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing? (–∞, 6) (–∞, 10) (6, ∞)
Answer:
the answer is D. (10, ∞)
Step-by-step explanation:
If = u2 + 2as, evaluate a when v - 5.
= 2 and s = 7.
Answer:
75a
Step-by-step explanation:
2(vas)
2(35a)
75a
Hope this helps plz hit the crown :D
Determine the number of terms n in each arithmetic series.
12) a1 = 13, d = 3, Sn = 1225
Answer:
The number of terms n in arithmetic series is n=25
Step-by-step explanation:
We are given:
a₁ = 13
d = 3
Sₙ = 1225
We need to find number of terms i.e n
The formula used will be: [tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]
Putting values and finding n
[tex]S_n=\frac{n}{2}(2a+(n-1)d)\\1225=\frac{n}{2}(2(13)+(n-1)3)\\1225=\frac{n}{2}(26+3n-3)\\1225=\frac{n}{2}(23+3n)\\2(1225)=n(23+3n)\\2450=23n+3n^2\\3n^2+23n-2450=0[/tex]
Now, solving using quadratic formula to find value of n:
[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Putting values: a=3, b=23 and c=-2450
[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\n=\frac{-23\pm\sqrt{(23)^2-4(3)(-2450)}}{2(3)}\\n=\frac{-23\pm 173}{6}\\n=\frac{-23+ 173}{6}, n=\frac{-23- 173}{6}\\n=25, n=-\frac{98}{3}[/tex]
So, we get: [tex]n=25, n=-\frac{98}{3}[/tex]
Since number of terms can't be negative so, n= 25
So, the number of terms n in arithmetic series is n=25
five more than twice a number is less than ten as an inequality?
plz help!!!!!!!
Answer:
2x+5<10
Step-by-step explanation:
please mark as brainliest
Open circles for strictly __________________ and ________________________
Answer:
you have to be more detail?
Step-by-step explanation:
Find the solution for the equation.
3(n-4)=-12
round to the nearest hundredth if necessary.
The first 5 terms of some sequences are given. State a rule that each sequence could follow.
2, 4, 6, 8, 10
5, 7, 9, 11, 13
50, 25, 0, -25, -50
1/3, 1, 3, 9, 27
The first , second and third sequence is arithmetic and the fourth sequence is geometric.
A sequence is a series of numbers such that each number follows a very specific rule or explicit function which determines its value. There are numerous types of sequence and series . But for this particular question we will need to know :
Arithmetic sequence : Number in an arithmetic sequence or AP are at equal distance from each other if plotted on a number line. The difference between any two consecutive numbers is the same and it is called the common difference.Geometric sequence : a sequence of numbers is said to be in a GP such that the ratio of each number to the preceding and the succeeding numbers is same.Let us now take each series of numbers and find the type of sequence it is:
sequence 1: 2, 4, 6, 8, 10
Common difference = 10-8 = 6-4 =2
So the sequence is arithmetic.
sequence 2: 5, 7, 9, 11, 13
Common difference = 13-11 = 7-5 =2
So the sequence is arithmetic.
sequence 3: 50, 25, 0, -25, -50
Common difference = 50-25 = - 25 - ( - 50) = 25
So the sequence is arithmetic.
sequence 2: 5, 7, 9, 11, 13
Common difference = 13-11 = 7 - 5 =2
So the sequence is arithmetic.
sequence 2: 1/3, 1, 3, 9, 27
Common ratio = 3 ÷ 1 = 27 ÷ 9 = 3
So the sequence is geometric.
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I need help with math! I hope you are having a great day!
Which are correct representations of the inequality 6x2 3 + 4(2x - 1)? Select three options.
Answer:
Option A, B, and C.
Step-by-step explanation:
Given, 6x ≥ 3 + 4(2x - 1),
Solve to find the correct representations given in the options.
6x ≥ 3 + 4(2x - 1)
Apply distributive property
6x ≥ 3 + 8x - 4 (option B is correct) ✅
Add like terms
6x ≥ -1 + 8x
Add 1 to both sides
6x + 1 ≥ 8x
Subtract 6x from each side
1 ≥ 8x - 6x
1 ≥ 2x (option A is correct) ✅
Divide both sides by 2
1/2 ≥ 2x/2
½ ≥ x
½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.
This make option C correct.✅
Use the figure for Items 2 and 3. Lines PS and TR intersect at point Q.
P
T
What is mZSQR?
R
(2m + 4)º
S
(3m + 1)º
The measure of angle SQR is 74
How to determine the value of SQP?The angles are given as
2m + 4 and 3m + 1
These angles are same side interior angles
So, we have
2m + 4 + 3m + 1 = 180
Collect the like terms
So, we have
2m + 3m + 4 + 1 = 180
Evaluate the like terms
So, we have
5m = 175
Divide both sides by 5
m = 35
Substitute m = 35 in SQR = 2m + 4
SQR = 2 x 35 + 4
Evaluate
SQR = 74
Hence, the measure of angle SQR is 74
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Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. What fraction of a box does each student receive?
Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. So, the fraction of each student receives 13/48 of a box of supplies.
To find out what fraction of a box each student receives, we need to divide the total number of boxes (3 1/4 boxes) by the number of students (12 classmates).
Step 1: Convert 3 1/4 to an improper fraction.
3 1/4 = (4 × 3 + 1) / 4 = 13/4
Step 2: Divide the total number of boxes by the number of students.
Fraction of a box per student = (Total boxes) / (Number of students)
Fraction of a box per student = 13/4 ÷ 12
Step 3: To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number (flipping the fraction).
Fraction of a box per student = 13/4 × 1/12
Step 4: Simplify the fraction if possible.
Fraction of a box per student = 13/4 × 1/12 = 13/48
So, each student receives 13/48 of a box of supplies.
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what does -(-6) mean
Answer:
the opposite of what is in the parentheses so -(-6) would just be 6
X+2=y-4 solve equation for y
Answer:
x=y−6
Step-by-step explanation:
Answer:
x - y = -6
......
hope it helps!
ect the statement that best describes a rational number when expressed as a decimal.
A rational number in decimal form has both a positive and negative solution.
A rational number in decimal form will never terminate or repeat.
A rational number in decimal form will always be positive.
A rational number in decimal form either terminates or repeats.
The statement that best describes a rational number when expressed as a decimal is a rational number in decimal form either terminates or repeats.
What is a rational number?
A rational number is a number that can be expressed as a fraction of two integers. Examples of rational numbers are 1, 1/2 and 0.1.
A decimal is a non-integer that is made up of a whole number and non-integers. The whole number and the integers are separated by a decimal point. Examples of decimals are 0.3, 1.5.
A terminating decimal a decimal which can be expressed as a finite number of figures. A repeating decimal is a decimal that has a digit that repeat without ending.
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Naomi filled up her car with gas before embarking on a road trip across the country. Let GG represent the number of gallons of gas remaining in her gas tank after driving for tt hours. A graph of G is shown below. Write an equation for G then state the x-intercept of the graph and determine its interpretation in the context of the problem.
G=___________
The x-intercept of the function is____ which represents
a.)the number of gallons of gas used per hour driven
b.)the number of gallons of gas used per mile
c.)the initial amount of gas in the tank
d.)the number of hours driven until the tank is empty
Answer:
Y= x+15
X intercept is 15
I gallon per hour
Initial amount of gas was 15
At hour 15 tank was empty
Step-by-step explanation:
The histogram represents the number of hours band students practice their instruments. Use the drop-down menus to complete the statements. The bars represent . According to the histogram, students spend 3 or more hours practicing. According to the histogram, students spend fewer than 2 hours practicing.
Answer:
Number of students
5
8
Step-by-step explanation:
Edg 2020
Answer:
number of students,5,8
Step-by-step explanation:
Can some one help me graph y=4x + 5 I keep doing something wrong.
Answer:
y = - 3x + 4
Step-by-step explanation:
Line is passing through the points (1, 1) & (0, 4)
Slope of line = (4-1)/(0-1) = 3/(-1) = - 3
Equation of line
y = mx + b
Here m = - 3, b = 4
y = - 3x + 4
Using point (1, 1)
y - 1= - 3(x - 1)
y = - 3x +3 +1
y = - 3x + 4
Jane is thirteen years younger than twice Ruby’s age. Nora is 5 years older than Ruby. If their ages sum to 52, find each girl’s age.
Answer:
J=17 N=20 R=15
Step-by-step explanation:
J=Jane
R=Ruby
N=Nora
J=2R-13
N=5+R
J+N+R=52
(2R-13)+(5+R)+R=52
Slove for R and plug into each equation
Answer:
Ruby is 15, Jane is 17 and Nora is 20.
Step-by-step explanation:
Let x represent the age of Ruby.
Jane: 2x - 13
Ruby: x
Nora: x + 5
52 = (x) + (2x - 13) + (x + 5)
52 = x + 2x - 13 + x + 5
52 + 13 - 5 = x + 2x + x
60 = 4x
x = 15
Jane:
2(15) -13
= 17
Nora:
(15) + 5
= 20
Please help i got a test tomorrow and need to understand the question please
Answer:
The measurement of angle JKL is x
Step-by-step explanation:
The angle bisector of KE tells you that the two angles on either side of that line are equal.
If we take the measurement of the big angle and subtract out the little angle that we know, we will find the measurement of the angle we are looking for.
4x + 6 - (3x +6)
4x + 6 - 3x -6
x
Evaluate 5x-6 when x=3
Answer: 9.
5(3) = 15 - 6 = 9. But if you have to switch to addition, 5(3) = 15 + 6 = 21. Hope this helps!
Answer:
9
Step-by-step explanation:
5*3=15
15-6=9
Samantha and Felicity are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs. Samantha sold 6 packages of tulip bulbs and
12 bags of daffodil bulbs for a total of $198. Felicity sold 7 packages of tulip bulbs and 6 bags of daffodil bulbs for a total of $127. Find the cost each of one package of tulips bulbs and one bag of daffodil bulbs.
1/2 |2x-3|+5=13
Solve for x
Answer:
x=19/2
x=- 13/2
Step-by-step explanation:
multiply both sides by 2 |2x -3|+10=26
move constant (10 to the right and change sign |2x-3|=26-10
subtract the numbers |2x-3|=16
use absolute value (rewrite the absolute value 2x-3=16
equation as two separate equations one (+) and (-) 2x-3= -16
2x-3=16 move constant to the right
2x=16+3 add the numbers
2x=19 divide both sides by 2
x=19/2
same steps with with second one
2x-2= -16
2x= -16 +3 move constant to the right change sign and add
2x= -13 divide both sides by two
x= -13/2
The | | are not ( ) . They have different meaning , absolute value brackets. ok :)
DIO uses [ZA WARUDO] to stop time and throws 200 knives at Jotaro Kujo. Then he adds one more and summons a ROAD ROLLER DA and smashes Jotaro Kujo with it and it explodes. This subtracts 32 knives. Jotaro Kujo uses [STAR PLATINUM] to punch 27 knives and subtracting them. How many knives are left?
Answer:
142
Step-by-step explanation:
start with 200, add 1 then subtract 32, minus 27 again
200 + 1 -32- 27+ 142
Answer:
141
Step-by-step explanation:
−5=5(d+4) whats the answer
Answer:
-5
Step-by-step explanation:
HELP ME PLEASE AND QUICK TOO
(02.01)
Which is the ratio of the number of months that begin with the letter M to the total number of months in a year? (2 points)
a
2 to 12
b
2 to 10
c
10 to 12
d
12 to 2
Answer:
A is the right answer for your question.
How would I translate 8+7t=22 into a verbal sentence.
PO =
13.
If Q is the midpoint of PR, find the coordinates of R
If P(6,2) and Q(-4,5).
(Show using algebra or show the pattern used)
P
R
RI
Using mid point formula.
In which we have
Q(-4,5)=(6+x/2) , (2+y/2)
-4=6+x/2 and 5 =2+y/2
-8=6+x and 10=2+y
x=-14 and y=8
Therefore the required value of R{-14,8}