Which equation could be solved using this application of the quadratic formula?
-2 + 22 – 4(1)(-4)
2(1)
I
Answers
Answer:
C. x^2 + 2x - 1 = 3
Step-by-step explanation:
The standard form of a quadratic equation is
ax^2 + bx + c = 0
We need to use the quadratic formula and the given expression to find the values of a, b, and c.
The quadratic formula is
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
Where the formula has -b, the problem has -2, so b = 2.
Now we have
ax^2 + 2x + c = 0
In the denominator, where the formula has 2a, the problem has 2(1), so a = 1.
Now we have
x^2 + 2x + c = 0
Inside the root, the quadratic formula has -4ac. the problem shows -4(1)(-4). Since we already know that a = 1, then c = -4.
Now we have
x^2 + 2x - 4 = 0
Let's look at choice A.
x^2 + 1 = 2x - 3
Subtract 2x from both sides. Add 3 to both sides.
x^2 - 2x + 4 = 0 This is not it!
Let's look at choice B.
x^2 - 2x - 1 = 3
Subtract 3 from both sides.
x^2 - 2x - 4 = 0 This is not it!
Let's look at choice C.
x^2 + 2x - 1 = 3
Subtract 3 from both sides.
x^2 + 2x - 4 = 0 This is it!
Answer: C. x^2 + 2x - 1 = 3
[tex]x^{2} +2x -1=3[/tex] equation could be solved using this application of quadratic formula.
Option D is correct.
What is quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx +c =0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.
Quadratic formulaThe quadratic formula is used to find the roots of a quadratic equation.
[tex]x=\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]
According to the question
[tex]x=\frac{-2 \pm \sqrt{2^{2} -4(1)(-4)} }{2.1}[/tex]
We all know the quadratic formula for finding the factors of a quadratic equation
[tex]x=\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]
By comparing two formulas we get a = 1, b = 2, c = -4
Standard form of quadratic equation is [tex]ax^{2} +bx +c =0[/tex]
Substitute a = 1, b = 2, c = -4 in the standard form of quadratic equation
⇒ [tex]x^{2} +2x-4=0[/tex]
We can write it as
⇒ [tex]x^{2} +2x -1=3[/tex]
[tex]x^{2} +2x -1=3[/tex] equation could be solved using this application of quadratic formula.
Option D is correct.
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Related Questions
If Amy has two apples and drops one, how many does she have now?
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if a function is y = x - 8 , then what is the value of the function when x = 10
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Answer:
2
Step-by-step explanation:
Margaret is planning a wedding reception. She wants to spend less than her budget of $4,991, and Margaret has already spen
$2,016. The meal price per guest is $25. How many guests, x, can Margaret invite to the reception and stay under budget?
Select the number line that includes the largest number of guests Margaret can invite without exceeding her budget.
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Answer:
I'm pretty sure it's C.
Step-by-step explanation:
4,991 - 2,016 is 2975 for the amount of money she has left over after what she spent already. 2975 divided by 25 is 119 for the amount of guests she can serve.
Given the following table and graph, write an equation to represent the exponential function
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Answer:
amogus??
Step-by-step explanation:
Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
2 + c = 7
c = 7
c = 9
c - 2 = 7
Answers
Answer:
Step-by-step explanation:
c =7
please help it's due in a few minutes.
Answers
Answer:
I'm not 100% sure, but I'd say 3/1 since:
Step-by-step explanation:
6 goes into 18 three times, 5 goes into 15 three times, 8 goes into 24 three times.
Ben has 6 children. He gives each child 2 - pies. How many pies does he neer).
Answers
Answer:
12 pies
Step-by-step explanation:
No. of children = 6
No. of pies given to each child = 2
Total no. of pies needed by Ben;
6 x 2 = 12
[tex] \huge \underline \pink {answer}[/tex]
number of children Ben has = 6
number of pies given to each child = 2
number of pies Ben need = 6×2 = 12
hence Ben needs 12 pies..
Please Help Me, I will give the person who answers the best brainliest.
What is the equation of a line that contains the points (5, 0) and (5, −2)?
x = 5
x = 0
y = 0
y = 5
Answers
Write down the value of angle y, giving a reason for your answer
Y=
Other angle given is 67 degrees
Answers
Answer:
y would be 67 as well.
Step-by-step explanation:
they are alternate interior angles. hope it helps
In part (a) the missing angle of a triangle is 70 degrees and in part (b) the missing angle is 67 degrees.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
Part(a)
We have a triangle shown in the picture.
The two lengths of a triangle are equal.
The angle opposite to the sides will be equal.
As we know,
The triangle's interior angles add up to 180°.
180 = 55 + 55 + x
x = 180 - 110
x = 70 degrees
In part (b)
There are two parallel lines shown in the picture.
The angle y will be the same as 67 degrees because two parallel lines are cut by a transversal line.
Thus, in the part (a) the missing angle of a triangle is 70 degrees and in part (b) the missing angle is 67 degrees.
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What is the average of 4 1/2, 3 1/3, 2 , 2 1/6
Answers
Answer:
3
Step-by-step explanation:
To find the average add all these numbers together, then divide by how many numbers you have.
[tex]4\frac{1}{2} +3\frac{1}{3} +2+2\frac{1}{6} =12[/tex]
[tex]\frac{12}{4} =3[/tex]
[tex]Answer: 3[/tex]
PLZ HELP -geometry- Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G(1,3), H(4,3), J(5,1), and K(2,1).
The coordinates are ( , ).
Answers
Answer:
The coordinates of the intersection of the diagonal of the parallelogram are [tex]M(x,y) = (3,2)[/tex].
Step-by-step explanation:
Diagonals are represented by line segments GJ and KH. Since quadrilateral is a parallelogram, then coordinates of the intersection are located at midpoint of each diagonal ([tex]M(x,y)[/tex]). That is:
[tex]M(x,y) = G(x,y) + \frac{1}{2}\cdot \overrightarrow {GJ}[/tex]
[tex]M(x,y) = G(x,y) +\frac{1}{2}\cdot [J(x,y)-G(x,y)][/tex] (1)
If we know that [tex]G(x,y) = (1,3)[/tex] and [tex]J(x,y) = (5,1)[/tex], the coordinates of the intersection of the diagonals of the parallelogram are:
[tex]M(x,y) = (1,3) +\frac{1}{2}\cdot [(5,1)-(1,3)][/tex]
[tex]M(x,y) = (1,3) +\frac{1}{2}\cdot (4,-2)[/tex]
[tex]M(x,y) = (1,3) +(2,-1)[/tex]
[tex]M(x,y) = (3,2)[/tex]
There is another form:
[tex]M(x,y) = K(x,y) +\frac{1}{2}\cdot \overrightarrow{KH}[/tex]
[tex]M(x,y) = K(x,y) + \frac{1}{2}\cdot [H(x,y)-K(x,y)][/tex] (2)
If we know that [tex]K(x,y) = (2, 1)[/tex] and [tex]H(x,y) = (4,3)[/tex], the coordinates of the intersection of the diagonals of the parallelogram are:
[tex]M(x,y) = (2,1) + \frac{1}{2}\cdot [(4,3)-(2,1)][/tex]
[tex]M(x,y) = (2,1) + \frac{1}{2} \cdot (2,2)[/tex]
[tex]M(x,y) = (2,1) + (1,1)[/tex]
[tex]M(x,y) = (3,2)[/tex]
Therefore, the coordinates of the intersection of the diagonal of the parallelogram are [tex]M(x,y) = (3,2)[/tex].
the two lines y+7x=14 and y+5=-7x are:
a)parallel
b)perpendicular
c)neither
Answers
Answer:
(a)parallel
Step-by-step explanation:
they have the same slope so they're parallel
i will mark brainliest!! i need help with 3 and 4
Answers
If BE = 2x + 2, BD = 5× - 3, and AE = 4× - 6, what are the values of x and AC?
Answers
Answer:
x = 7
AC = 44
Step-by-step explanation:
Find the diagram attached
According to the parallelogram,
BD = 2BE
5x-3 = 2(2x+2)
5x-3 = 4x+4
5x-4x = 4+3
x = 7
Hence the value of x is 7
Also AC = 2AE
AC = 2(4x-6)
AC = 8x - 12
AC = 8(7) - 12
AC= 56-12
AC = 44
Hence the measure of AC is 44
What is the GCF of 20, 10 and 30?
Answers
Answer:
10 is the GCF
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
someone help me solve these three math year7 questions , thank you
Answers
Answer:
1.
(a)input:9, output:8&12
(b)input:14,output:3&13
(c)input:7&20,output:50
2.
(a)input:7&6,output:18
(b)input:9&8,output:12
(c)input:14&26,output:0.5
3.
(a)+3
(b)÷3
(c)x7
what is 98 = u/7
PLz help
Answers
Answer:
u=686
Step-by-step explanation:
98=u/7
7*98=7*u/7
u=686
Help pleaseeeeeeeeee
Answers
Answer:
24
Step-by-step explanation:
Answer:
Since ang AOC is a straight line-
180-156=x
x=24
(All straight lines are always 180°)
Hope it helps
Cassidy has a bag of 72 red beads and 90 blue beads. She would
like to use the beads to make bracelets that have the same ratio of
red to blue beads as in the bag.
how many red beads does it have?
If a bracelet has 15 blue beads,
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Answer:
90 blue hostia colombia
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Answer:
33d
Step-by-step explanation:
33 is the total fish in each tank
d represent the number of tanks
To find the total fish we multiple 33 and d
33 x d = total fish
so 33d is the correct expression
Can someone please explain c?
Q1.
The roots of the quadratic equation
x2 + 2x - 5 = 0
Are a and B
(a) Write down the value of a + ß and the value of aß.
(b) Calculate the value of a2 + B2
(c) Find a quadratic equation which has roots a3 + 1 and aß3 + 1.
Answers
Answer:
Idek
Step-by-step explanation:
silvia compro la misma licuadora que daniela, que costaba $355.5, pero como abonó con tarjeta de credito, le recargaron un 16%, ¿cuanto pago silvia?
Answers
Answer:
Costo final= $412.38
Step-by-step explanation:
Dada la siguiente información:
Costo inicial= $355.5
Recargo de la tarjeta= 16% = 0.16
Para calcular el costo final que debe pagar Silvia, debemos usar la siguiente información:
Costo final= costo inicial*(1 + recargo)
Costo final= 355.5*1.16
Costo final= $412.38
Change the mixed number to a fraction: 1 1/2 = _____
Answers
Answer:
3/2
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
6- Karen is making a frame for a square picture with an area of 169 square inches. How
many inches of framing are needed?
a) 13
b) 14
c) 15
d) 16
PLEASE HURRY! I WILL MARK YOU BRAINLIST OR WHATEVER... IF YOU DO IT PLEASE
Answers
Answer: a
Step-by-step explanation:
Tell me if it is correct
The table shows the number of passengers that can be transported in a company's vans. How many passengers can b
transported in five vans?
Plz help
Answers
Answer: 60 passengers
Step-by-step explanation: i got it right on edge
Answer:
your answer is 60
Step-by-step explanation:
i got it correct
Help me plz I need it
Answers
Answer: 171.19
V=lwh
w=3.65
l=14
h=7-3.65
=3.35
V=171.185 ≈171.19
Step-by-step explanation:
Drag each angle measure to the correct location on the image. Not all angle measures will be used.
Determine the measures of the angles.
35°
70°
75°
100°
105°
110°
Answers
Answer:
i believe this is the question you asked added picture of correct answer on graded test
Step-by-step explanation:
if a:3=b:4 then 4a-3b+5=??
Answers
Answer:
4a - 3b + 5 = 5
Step-by-step explanation:
Express the ratios in fractional form
[tex]\frac{a}{3}[/tex] = [tex]\frac{b}{4}[/tex] ( cross- multiply )
4a = 3b ( subtract 3b from both sides )
4a - 3b = 0
Then
4a - 3b + 5 = 0 + 5 = 5
y = 5x - 9
y - 5x = 4
(3,2)
no solution
an infinite number of solutions
Answers
Answer:
(3, 2)
2 = 5 x 3 - 9
= 15 - 9
= 6
2 is not = 6
y = 5x - 9
y - 5x = -9
y - 5x = 4
Use elimination
-15
ANSWER: So there are no solutions
A right triangle with the side AB as a length of 35 cm and another side length BC with 12 cm. What is the hypotenuse length of the right triangle?
Answers
Hope this helps!