After being arranged and simplified which of the following equations could be solved using the quadratic formula?
Answers
Answer:
B. 2x² + x² + x = 30
D. 9x + 3x² = 14 + x - 1
Step-by-step explanation:
2x² + x² + x = 30
simplify
3x² + x - 30 = 0
x can be solve using quadratic equations
x = 3 and x = -10/3
so the answer is B
9x + 3x² = 14 + x - 1
simplify
3x² + 8x - 13 =0
x can be solve using quadratic equations
so the answer is D
Note: options A and C do not qualify for quadratic equation
The solution is Option B , Option D.
The set of quadratic equations are 2x² + x² + x = 30 and 9x + 3x² = 14 + x -1
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
a)
2x² + x² + x = 30 be equation (1)
On simplifying the equation , we get
3x² + x = 30
Subtracting 30 on both sides of the equation , we get
3x² + x - 30 = 0
Now , on factorizing the equation , we get
x = 3 and x = -10/3
b)
9x + 3x² = 14 + x -1 be equation (1)
On simplifying the equation , we get
Subtracting x on both sides of the equation , we get
3x² + 8x = 13
Subtracting 13 on both sides of the equation , we get
3x² + 8x - 13 = 0
Now , on factorizing the equation , we get
x = ( -4/3 ) ± ( √55/3 )
Hence ,
The quadratic equations are 2x² + x² + x = 30 and 9x + 3x² = 14 + x -1
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Related Questions
For the following questions, solve for the missing rate, base or product (round to the nearest hundredth if needed): 25% of 320 is
Answers
Answer:
80
Step-by-step explanation:
let the unknown value be x.
[tex]\frac{25}{100}*320=x\\ \frac{25*320}{100}=x\\ \frac{8000}{100}=x\\ 80=x[/tex]
Answer:
[tex]\huge\boxed{80}[/tex]
Step-by-step explanation:
[tex]25 \% \ of \ 320[/tex]
% means out of hundred and of means to multiply.
=> [tex]\\\frac{25}{100} * 320\\[/tex]
=> 0.25 * 320
=> 80
The area of a sector of a circle is given by the equation uppercase A = StartFraction pi r squared uppercase S Over 360 EndFraction, where r is the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write? 360 uppercase A + pi r squared 360 uppercase A minus pi r squared StartFraction 360 + uppercase A Over pi r squared EndFraction StartFraction 360 uppercase A Over pi r squared EndFraction
Answers
Answer:360A/pi ^2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i got it right
Eddie and Fran are scuba diving. Eddie is 35 meters
below the surface of the water, and Fran is 8 meters
directly above him.
Answers
a manned rocket accelerates at a rate of 20 m/s2 during launch How long does it take the rocket reach a velocity of 400 m/s?
Answers
Answer:
Step-by-step explanation:
acceleration, a = 20 m/s^2
initial velocity, u = 0 since it starts from rest
final velocity, v = 400 m/s
v = u + at
400 = 0 + 20 t
400 = 20 t
t = 400 / 20
t = 20 sec
Hope this helps
plz mark as brainliest!!!!
It will take 20 sec the rocket reach a velocity of 400 m/s
What are equations of motion?There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.
They are listed below as:
[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]
We are given that manned rocket accelerates at a rate of 20 m/s2 during launch
The acceleration, a = 20 m/s^2
The initial velocity, u = 0 since it starts from rest
The final velocity, v = 400 m/s
Therefore, v = u + at
400 = 0 + 20 t
400 = 20 t
t = 400 / 20
t = 20 sec
Hence, It will take 20 sec the rocket reach a velocity of 400 m/s
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1. Morgan works as a chef at a local restaurant. She makes $15.50 per hour
She worked 30 hours this week. How much money did she earn?
Answers
Answer:
$465 for that week
Step-by-step explanation:
Since Morgan makes $15.50 an hour and she works for 30 hours the answer would be multiplication which would be this:
$15.50 × 30 = $465
Hope this Helps :)
Answer:
she earned $465
Step-by-step explanation:
you multly the money by the hours
$15.50 x 30= 465
What is the greatest common factor of 36, 34, and 22?
Answers
factors of 34: 1,2,17,34
factors of 22: 1,2,11,22
GCF: 2
We have that the factors of the individual Number
(1,2,3,4,6,9,12,18,36),( 1,2,17,34),( 1,2,11,22 ) respectively
The greatest common factor is 2
2
From the question we are told
What is the greatest common factor of 36, 34, and 22?
Generally the equation for the Factors is mathematically given as
36 factors are as follows 1,2,3,4,6,9,12,18,36
34 factors factors are as follows 1,2,17,34
22 factors factors are as follows 1,2,11,22
Therefore
From the factors of the individual Number
(1,2,3,4,6,9,12,18,36),( 1,2,17,34),( 1,2,11,22 ) respectively
The greatest common factor is 2
2
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Find the Product. 437 × 16
Answers
Answer: [tex]6692[/tex]
Look at the image for work...
Find the value of term a14 in the sequence. 7, 2, -3, -8, -13...
Answers
Answer:
-58
Step-by-step explanation:
The first term (a₁) is 7 and the common difference (d) is 2 - 7 = -5.
Explicit formula of arithmetic sequence: aₙ = a₁ + (n - 1) * d
aₙ = 7 + (n - 1) * (-5) = 7 - 5n + 5 = -5n + 12
Therefore, a₁₄ = -5 * 14 + 12 = -58.
The parallelogram shown below has an area of 54 units^2 squared. Find the missing height. h = units.
Answers
Answer:
See Explanation
Step-by-step explanation:
This question requires an attachment.
However, if you follow my explanation, you'll arrive at your answer
The area of a parallelogram is:
[tex]Area (A)= Base (b) * Height (h)[/tex]
[tex]A = b * h[/tex]
To solve for Height, we simply make h the subject of formula
[tex]h = \frac{A}{b}[/tex]
In this question, we have that A = 54
Now, let's assume base (b) = 6.
This implies that
[tex]h = \frac{54}{6}[/tex]
[tex]h = 9[/tex]
Or;
Assume that b = 3
[tex]h = \frac{54}{3}[/tex]
[tex]h = 18[/tex]
So, whatever the base of the parallelogram is;
You can easily solve for the height using the above steps
what is (5x-2)(4x^2 -3x-2)
Answers
Explanation:
Use distributive property:
(5x-2)(4x^2 - 3x-2)
= 20x^3 - 15x^2 - 10x - 8x^2 + 6x + 4
= 20x^3 - 23x^2 - 4x + 4
Answer:
20x^3-23X^2-4X+4
Step-by-step explanation:
3(3a - 5b) - (a - 76)
Answers
Answer:
8a-15b+76
Step-by-step explanation:
that is the answer
Please Help! I'm Stuck!
Answers
Answer:
19
Step-by-step explanation:
Assuming that [tex]l[/tex] represents length and [tex]w[/tex] represents width, we can make a systems of equations and solve for l and w.
[tex]2l+2w=60[/tex], since the perimeter of a rectangle will be double the length plus double the width.
Also we can make the equation [tex]l = 2w+3[/tex], as stated in the last part of the question.
We can now substitute the value of [tex]2w+3[/tex] into the equation [tex]2l+2w=60[/tex] as l.
[tex]2(2w-3) + 2w = 60\\\\4w-6+2w=60\\\\6w-6=60\\\\6w=66\\\\w = 66\div6\\\\w = 11[/tex]
So we know the width is 11. Now that we know the width, we can substitute it back into the equation [tex]l = 2w+3[/tex] to find the length.
[tex]l=2\cdot11-3\\\\l=22-3\\\\l=19[/tex]
So the length is 19.
Hope this helped!
Please help me on this
Answers
Answer:
-q
Step-by-step explanation:
We know that we are trying to find an expression equivelant to p - q:
p - q can be p - 1q
We can then put parenthesis around -1q:
p + (-1q)
We then can simplify:
p + (-q)
How many points do you need in order to name a ray?
O
one
four
о
three
two
Answers
You need the starting point, and another point that helps direct where the ray is aimed. Call these two points A and B.
Saying "Ray AB" means we extend a line through AB such that the line goes forever through B and beyond B, but we do not do the same for point A. The point A is effectively a cliff where no road goes on the other side of it. Check out the diagram below to see what I mean. The arrow means the line goes on forever in that direction.
{(-4, 1), (-3,5), (-1,0), (6, 2), (9,5)} is this a function or not?
Answers
You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number
Answers
Answer: -10
I believe it is [tex]n^{-10}[/tex] because that would make a fraction: [tex]\frac{1}{n^{10} }[/tex]
Sorry, I haven't done this stuff in a while, but I hope this helped :)
Danica made $440 working at a pet shop last month. She worked a total of 40 hours. How much money did Danica make per hour?
Answers
Answer:
Danica made 11 dollars per hour.
Step-by-step explanation:
Divide- 440/40=11
Check 11*40=440
She made 11 dollars per hour.
Answer:11
Step-by-step explanation:
Find the equation of a line that is perpendicular to the line -2y+20=8x and passes through the point (7,2).
Answers
Answer:
8y -2 = 2x
Step-by-step explanation:
The equation of the perpendicular line will have the coefficients of x and y swapped, and one of them negated. The constant can be found by substituting the given point value:
8y +constant = 2x . . . . coefficients swapped; former y-coefficient negated
8(2) +constant = 2(7) . . . . . fill in given point values (x, y) = (7, 2)
constant = 14 -16 = -2 . . . . subtract 16
The equation can be written as ...
8y -2 = 2x
_____
Additional comment
Personally, I prefer standard form, which has common factors removed from the coefficients, and has the constant separated from the variable terms:
x -4y = -1
Some like the slope-intercept form better:
y = 1/4x +1/4
Apparently, your curriculum author doesn't care how the equation of the line is written, so we have answered with the same form that was given.
Solve 4(p - 15)=312 please
Answers
Answer:
p = 93
Step-by-step explanation:
4(p - 15)=312
4p - 60 = 312
4p - 60 + 60 = 312 + 60
4p = 372
4p/4 = 372/4
p = 93
Answer:
the answer is 93......
What the answer to (2/3) ÷ (3/4)
Answers
Answer:
0.8888
Step-by-step explanation:
Step-by-step explanation:
Remember: when we divide fractions, we always:
• Flip the sign (change it to a multiplication sign)
• Flip the second fraction (4 goes on top and 3 goes on the bottom)
Now we have the rules covered, let's set up our expression.
[tex]\frac{2}{3} *\frac{4}{3}[/tex]
To multiply, we just have to multiply across. 2 • 4 is 8, and 3 • 3 is 9.
Our final answer: [tex]\frac{8}{9}[/tex]
I hope this helps you!
A vertical pole is placed in the ground at a campsite outside Salt Lake City, Utah. One winter day, 16 of the pole is in the ground, 23 of the pole is covered in snow, and 1.8 ft is above the snow. How long is the pole, and how deep is the snow
Answers
Answer:
Length of the pole = 10.8 ft
Depth of the snow = 7.2 ft
Step-by-step explanation:
The correct question is
A vertical pole is placed in the ground at a campsite outside Salt Lake City, Utah. One winter day, 1/6 of the pole is in the ground, 2/3 of the pole is covered in snow, and 1.8 ft is above the snow. How long is the pole, and how deep is the snow.
The fraction of the pole in the ground = 1/6
The fraction of the pole in the snow = 2/3
The length of the pole above the snow = 1.8 ft
Total fraction of the length of the pole = 1
For the fraction of the length above the snow, we solve as
1/6 + 2/3 + [tex]x[/tex] = 1
[tex]x[/tex] = 1 - 1/6 - 2/3 = 1/6
This means that the length of the pole above the snow 1.8 ft = 1/6 of the length of the pole.
Also, the fraction of the pole in the ground = 1/6
this means that the length of the pole in the ground = 1.8 ft
If 1/6 of the length of pole is 1.8 ft,
the length of the pole = 1.8 ft x 6 = 10.8 ft
Length of the pole in the snow = 2/3 of 10.8 = 2/3 x 10.8 = 7.2 ft
this means that the the snow is 7.2 ft deep
Find ????⋅ ???? if |????|=3 , |????|=9 , and the angle between ???? and ???? is π2 radians.
a.b = _______
Answers
Answer:
[tex]a{\cdot}b=0[/tex]
Step-by-step explanation:
It is given that,
Magnitude of a A, [tex]|A|=3[/tex]
magnitude of B, [tex]|B|=9[/tex]
The angle betwern a and b is [tex]\dfrac{\pi}{2}\ rad=90^{\circ}[/tex]
Dot product,
[tex]a{\cdot} b=|a||b|\ \cos\theta\\\\a{\cdot} b=3\times 9\times \ \cos(90)\\\\a{\cdot} b=0[/tex]
So, a.b is equal to 0.
Please helppppppppppppp
Answers
Answer:
the 5th diagram illustrates
Please help, enter your answer as a number to a power!
Answers
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's simplify step by step.
[tex]9x^{-53}[/tex] × [tex]9x^{37}[/tex]
[tex]= ( 9x^{-53}[/tex] × [tex]9x^{37})[/tex]
[tex]= 9x^{-53}[/tex] × [tex]9x^{37}[/tex]
[tex]= 9x^{-16}[/tex]
[tex]= \frac{1}{_{9} 16}[/tex]
[tex]= \frac{1}{1853020188851841}[/tex] (Decimal: 0)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
If k3 – 9 = 12, what is the value of k? A. 1 B. 7 C. 9 D. 63
Answers
Answer:
63
Step-by-step explanation:
The answer is 63 because k/3 =63
k/3-9=12
We move all terms to the left:
k/3-9-(12)=0
We add all the numbers together, and all the variables
k/3-21=0
We multiply all the terms by the denominator
k-21*3=0
We add all the numbers together, and all the variables
k-63=0
We move all terms containing k to the left, all other terms to the right
k=63
Brainliest please i just need 10 to move to next level
An equation is formed when two equal expressions. The value of k in the given equation is 63. The correct option is D.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the equation k3-9=12.
Now, for the given equation the value of k can be found by solving the equation,
k/3 – 9 = 12
k/3 – 9 + 9 = 12 + 9
k/3 = 21
k/3 × 3 = 21 × 3
k = 63
Hence, the value of k in the given equation is 63.
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A = 5 B = 3 C = 1
6A - 10B + 3C = ?
Answers
Answer:
3
Step-by-step explanation:
6(5)-10(3)+3(1)
6*5=30
10*3=30
3*1=3
30-30+3=3
What is the distance across the river in feet?
Answers
Answer:
375 ft
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{d}{125}[/tex] = [tex]\frac{30}{10}[/tex] ( cross- multiply )
10d = 3750 ( divide both sides by 10 )
d = 375 ft
AB has endpoints at (-4,5) and (4,-3) using the midpoint formula what is the midpoint segment
Answers
Answer:
(0,1)
Step-by-step explanation:
help me pleasee (and no I’m not gonna follow u if u ask just help)
Answers
Answer:
option B is correct -7 is the answer
Step-by-step explanation:
=4⁴-3³.(12-3)-20
=256-27×(9)-20
=256-243-20
=256-263
=-7
hope it will help ^_^
Answer:
[See Below]
Step-by-step explanation:
First you'll solve the parenthesis part:
* 12 - 3 = 9
Then Solve the exponents:
* 4^4 = 256 (4 x 4 x 4 x 4)
* 3^3 = 27 (3 x 3 x 3)
Rewrite:
* 256 - 27 x 9 - 20
Multiply:
* 27 x 9 = 243
Subtract:
* 256 - 243 = 13
* 13 - 20 = -7
So the answer would be B, -7
(Remember to use PEMDAS to solve)
Which of the following is a correct comparison of two rational numbers?a. 1.5 > 5/3b. 2.5 < 0.25c. 0.07 > 7/10d. 0.6 > 4/7
Answers
Answer:
d. 0.6 > 4/7
Step-by-step explanation:
a. 1.5 > 5/3
From part a, it is given that 1.5 is greater than 5/3
changing 5/3 to decimal figure, we get 1.67
Thus, the claim that 1.5 > 1.67 is not valid because 1.67 is greater than 1.5
b. 2.5 < 0.25
given that 2.5 is less than 0.25 is not valid because 2.5 is greater than 0.25
c. 0.07 > 7/10
if we convert 7/10 to decimal figure, we get 0.7
the claim that 0.07 is greater than 0.7 is not valid because 0.7 is greater than 0.07
d. 0.6 > 4/7
If we convert 4/7 to decimal figure, we get 0.57
Therefore, the claim that 0.6 is greater than 0.57 is accurate and valid
Hence, Option d is the correct answer.