6x^2 – 13x + 6 = 2x^2 solve using quadratic formula
Answer:
[tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define equation
6x² - 13x + 6 = 2x²
Step 2: Rewrite in Standard Form
Subtract 2x² on both sides: 4x² - 13x + 6 = 0Step 3: Define
a = 4
b = -13
c = 6
Step 4: Solve for x/roots
Substitute: [tex]x=\frac{13\pm\sqrt{(-13)^2-4(4)(6)} }{2(4)}[/tex]Exponent: [tex]x=\frac{13\pm\sqrt{169-4(4)(6)} }{2(4)}[/tex]Multiply: [tex]x=\frac{13\pm\sqrt{169-96} }{8}[/tex]Subtract: [tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]And we have our final answer!
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
okaaaay. this is 10 units to the y axis...
Step-by-step explanation:
2.Yolanda is buying supplies for school. She buys n packages of pels at $1.40 per package and m pads of paper at $1.20 each. What does each term in the expression 1.4n + 1.20m represent? What does the entire expression represent? Interpret the meaning of the term 1.4n. What does the coefficient 1.4 represent? Interpret the meaning of the term 1.20p. What does the coefficient 1.20 represent?
Answer: 1.4n represents the cost of n packages of pels.
1.20m represents cost of m pads.
Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.
Meaning of 1.4n = cost of n packages of pels.
Meaning of 1.20 m = represents cost of m pads.
where , 1.4 = Cost per package of pels
1.2 =Cost per pad of paper
Step-by-step explanation:
Given: Cost per package of pels = $1.40
Cost per pad of paper = $1.20
Number of packages of pels bought = n
Number of pads of paper bought = m
So, 1.4n represents the cost of n packages of pels.
1.20m represents cost of m pads.
Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.
Meaning of 1.4n = cost of n packages of pels.
Meaning of 1.20 m = represents cost of m pads.
where , 1.4 = Cost per package of pels
1.2 =Cost per pad of paper
A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.
hey can you pls help!!!
Answer:
60/4 if i get right can i please get brainliest?
Answer:
60 miles/ 4 gallons
Step-by-step explanation:
60 divided by 4 is 15
PLEASE HELP FAST!!!!Match each description to the expression that can be used to represent it.
Answer:
The first box on the left goes to the middle box on the right! THe second box on the left goes to the first box on the right! And the last box on the left goes to the third box on the right!
Hope this helps and u understand it
What on earth is: 1.92/3 = ? Please help me idk how to do this ;-;
Answer:0.64
Step-by-step explanation:
Is the following relation a function?
Need answer now
If you can draw a vertical line through more than one point on the curve, then it's not a function. In this case, we can draw such a line. The graph is said to have failed the vertical line test.
What this means is that some x inputs lead to more than one y outputs. A function is only possible if any x input leads to exactly one y output. The x input must be in the domain.
Answer:
It is not a function.
Step-by-step explanation:
A relation's inputs are not repeated in a function.
Since the graph fails the vertical line test, it is not a function.
See picture.
Hope this helps.
write QF if it's Quadratic function and NQF if Not a Quadratic function
Answer:
1. QF2. NQF3. NQF4. QF5. QF6. Undefined, unclearStep-by-step explanation:
1. f(x) = x^2 + 2
It is a quadratic function as in the format of y = ax^2 + bx + c2. f(x) = 2x - 10
It is linear function, not quadratic3. It is linear function as y- is an arithmetic sequence
Not a quadratic function4. As per the pairs we can determine the function:
y = 1/2x^2 + 1/2xIt is a quadratic function5. The graph is parabola
It is a quadratic function6. Undefined as not clear what is it
what is the equation of the line containing the points (4,2) and (-5, 1)? Write your answer in slope-form. PPPPPLLLLLLLLLLLEEEEEEEEASE HELP
Answer:
y=-1/9x+2.44
Step-by-step explanation:
m=y2-y1/x2-x1
1-2=(-1)
(-5)-4=(-9)
-1/9
y=mx+b
2=-1/9(4)+b
-1/9*4=-0.44444444444
-0.444.... rounded is -0.44
(-0.44)-(-0.44) =0
2-(-0.44 )=2.44
y=-1/9x+2.44
hope this helps
sorry if im wrong i had a lil trouble on this one :(
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PLZ HELP! THIS IS THE LAST QUESTION! 75 PTS!!
Answer:
its b or d
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
ASAP HELP BRAINLIEST 100 POINTS PLZ PLZ PLZ HELP
Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes?
StartFraction 6 over 4 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 30 over 20 EndFraction
StartFraction 4 over 30 EndFraction = StartFraction 6 over 20 EndFraction
Answer:
20 inches wide and 30 inches tall
Step-by-step explanation:
if the height went from 6 to 30 that means it grew by 5 so the poster would be
20 inches wide and 30 inches tall
Answer:
Start Fraction 4/6
End Fraction 20/30
Help me pleaseeeeee!!!!!
Answer:
A
Step-by-step explanation:
What is the correct order of the steps used to derive the identity?
A.) 4, 3, 5, 1, 2
B.) 4, 5, 3, 1, 2,
C.) 3, 4, 5, 1, 2
D.) 3, 4, 1, 5, 2
The correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2
How to determine the correct order of step?The trigonometry identity is given as:
tan(2x)
When the tangent formula is applied, we have:
[tex]\tan(2x) = \frac{\sin(2x)}{\cos(2x)}[/tex] --- step 4
Expand sin(2x) and cos(2x)
[tex]\tan(2x) = \frac{2\sin(x)\cos(x)}{\cos^(x) - \sin^2(x)}[/tex] --- step 3
The option from the list that obey the above order is (a) 4, 3, 5, 1, 2
Hence, the correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2
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Answer:
A). 4,3,5,1,2
Step-by-step explanation: on edge
What happens when there is an unbalanced force acting?
This is for science
387/4300 as a percent
Answer:
9%
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by
100. Hope this helps!
I need to solve 11-20 ASAP pls
Kim sold a house for $230,000 and made a 3% commission. How much money did Kim make in commission for selling the house?
Answer: kim made $6,900 in commission for selling the house
Step-by-step explanation:i took the test
can someone please help me with this question
Answer:
16 the answer
Step-by-step explanation:
7. A checking account is
overdrawn by $10 on both Friday
and Saturday. By how much was
The account overdrawn?
Help with a and b? Thank you
Step-by-step explanation:
Given data:
Cars Vans Others
60 21 3
The data represents the number of cars on a single day.
Find the relative frequency;
It is the number of times an event occurs.
Here the time frame is within a day;
Relative frequency = [tex]\frac{number of cars + number of vans + others}{number of days}[/tex]
Relative frequency = 60 + 21 + 3 = 84vehicles per day
ii.
Number of vans in a week;
Number vans in a week = 21van per day x 7 days = 147vans
Tina has two rectangular playpens to keep her new pet dogs. The first rectangle has a width of 6 feet and a length of x - 4 feet. The second rectangle has a width of 8 feet and a length of x + 2 feet. What is the sum of the two perimeters?
Answer:
4x+24 ft.
Step-by-step explanation:
Perimeter of first rectangular playpen mentioned: 2(6+x-4), which can be simplified to 2(x+2) = 2x + 4.
Perimeter of second playpen mentioned: 2(8+x+2), which can be simplified to 2(x+10) = 2x+20.
Add these two together: 2x+4 + 2x+20 = 4x+24. Don't forget to add units: 4x+24 ft.
?...
1 + (-2 - 5) to the 2nd power + -3 x 4
Answer:
-3
Step-by-step explanation:
(1 + (-2-5))^2+-3X4
(1+(-3))^2 + -12
-3^2 -12
9-12
-3
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8500 ft, the liquid boils at 199.55 F. At an altitude of 4300 ft, the liquid boils at 206.69 F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at ft?
Answer:b = -0.0013a + 211
Step-by-step explanation:
Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .
As the question specifies to use a for altitude and b for boiling point, change the variables equation to
b is the boiling point.
m is the slope.
a is the altitude.
c is the y-intercept.
To find the slope, we can use the equation except x is a and y is b.
The sets of information given are:
8500 ft, the liquid boils at 199.95° (This can be info set 1)
4300 ft, the liquid boils at 205.41° (This can be info set 2)
Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.
m = -0.0013
Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.
b = ma + c
199.95 = (-0.0013)(8500) + c <= Simplify
199.95 = -11.05 + c
199.95 + 11.05 = -11.05 + 11.05 + c <=add 11.05 on both sides to isolate c
c = 211 <= y-intercept
Put the y-intercept and slope into the equation of a line:
b = ma + c
b = -0.0013a + 211 <= This is the equation for the problem.
2x + 1 = 2x - 1 how many solutions?
Answer:
the answer is 2
Step-by-step explanation:
Which linear inequality is represented by the graph?
1 y 1/2x + 2
2 yx+2
3 y=x+2
4 y2 x + 2
Answer:
A
Step-by-step explanation:
The linear equation of inequality is y ≤ ( x/2 ) + 2
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The x intercept of the equation is when y = 0
So , A ( -4 , 0 ) is the x intercept
And , the y intercept is when x = 0
So , B ( 2 , 0 ) is the y intercept
Therefore , the inequality is y ≤ ( x/2 ) + 2 and the graph is plotted
Hence , the inequality is y ≤ ( x/2 ) + 2
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Can you please help me with the question
Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50. How many books will Holly and Ethan need to sell to make a profit of exactly $30?
Answer:The answer would be 20 books divide 15 \ 1.50 equals 10 then multiply 10 by 2
Step-by-step explanation:
The number of books sold by Holly and Ethan to get a profit of $30 will be 20.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50.
The number of books will be calculated as,
1.5x = 30
x = 30 / 1.5
x = 20
Therefore, the number of books sold by Holly and Ethan to get a profit of $30 will be 20.
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SOMEONE PLZ HELP JSJSJSNSJNSNSNSNSNNS I HAVE 30 MINS LEFT PLZ
Answer:
the answer is d. x >=4