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
3 ( x - 3 ) = 5x - 4 + 3 ( 7 - x )
x = ?
i tried working it out and got 21 but the answer was 26 , how do you show your workings
Answers
Answer:
26
Step-by-step explanation:
3 ( x - 3 ) = 5x - 4 + 3 ( 7 - x )
3x-9 = 5x-4 + 21 - 3x
collect like terms
3x-9 = 2x +17
move the terms
3x-2x = 17+9
x=26
Answer:
26
Step-by-step explanation:
3 (x-3) = 5x - 4 + 3 (7-x)
3x - 9 = 5x - 4 + 21 - 3x
3x - 9 = 5x - 3x + 17
3x - 9 = 2x + 17
3x - 2x = 17 + 9
x = 26
At a certain pizzeria, it is known that 12% of orders are for extra-large pizzas. What is the probability that the 6th pizza ordered is the first extra-large pizza? 0.0633 0.4644 0.5277 0.9367
Answers
[tex]0.0633[/tex] is the the probability that the 6th pizza ordered is the first extra-large pizza.
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
According to question, at a certain pizzeria, it is known that 12% of orders are for extra-large pizzas.
We have to find, what is the probability that the 6th pizza ordered is the first extra-large pizza.
Probability of extra-large pizzas [tex]=\frac{12}{100}[/tex][tex]=0.12[/tex]
Probability of other pizzas[tex]=1-0.12=0.88[/tex]
Hence, the probability that the 6th pizza ordered is the first extra-large pizza[tex]=0.88^{5}[/tex]×[tex]0.12[/tex](since first 5 pizzas are other pizza)
[tex]=0.527[/tex]×[tex]0.12[/tex]
[tex]=0.0633[/tex]
Hence, we can conclude that [tex]0.0633[/tex] is the probability that the 6th pizza ordered is the first extra-large pizza.
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Anya had 4 pounds of bananas and 3 1/2 pounds of apples. If she have 1/4 of her bananas to James, how many pounds of bananas does she have left
Answers
Answer:
3 3/4 pound of bananas
hope this helps
12,589 + 31,775 = 12,600 +__
please help:)
Answers
Answer:
31764 is the answer ....
Hope it helps!!!
Answer: 12,600 + 31,764
Step-by-step explanation:
2(10.8 k+ 2.9) What's the answer
Answers
I believe is the answer good luck!
If , then what is mto the nearest degree?
Answers
Given:
[tex]\cos \angle A=\dfrac{342}{1000}[/tex]
To find:
The measure of angle A to the nearest degree.
Solution:
We have,
[tex]\cos \angle A=\dfrac{342}{1000}[/tex]
It can be written as
[tex]\angle A=\cos ^{-1}\dfrac{342}{1000}[/tex]
[tex]\angle A=70.00123^\circ[/tex]
[tex]\angle A=70^\circ[/tex]
Therefore, the measure of angle A to the nearest degree is 70 degrees.
3 * 12 - 4k = 24
solve for k
Answers
Answer:
k=3
Step-by-step explanation:
If mABD = 28° and mDBC = 134°, find mABC.
Answers
Answer:
∠ABC = 162
Step-by-step explanation:
Since you have ∠ABD and ∠DBC, add the two angles to find ∠ABC.
28 + 134 = 162
A bag has 1 striped, 4 red, 6 blue, and 3 yellow marbles. A student randomly draws a marble from the bag. What is the probability of drawing a blue marble?
1:14
3:14
3:7
1:4
Answers
14
4.5
2.5
........................
PLZ PLZ PLZ PLZ PLZ HELP HELP
Answers
How is one "cleansed" in the preparation to recieve the gift of the holy spirit in confirmation?
Answers
Answer:
Hello guys
Step-by-step explanation:
Hope it's helped you
Mary has 4 gallons of water. She wants to put 2/3 gallon in each bottle. How many bottles can she fill?
Mary can fill 4 bottles of water.
Mary can fill 14 bottles of water.
none of these
Mary can fill 6 bottles of water.
Answers
Answer:
she can fill 6 if them
Step-by-step explanation:
2/3 ÷ 4 = 1/6
Given that lines q and m are parallel and are cut by two
different transversal lines, j and k, use angle relationships
to determine the measure of each numbered angle:
Answers
angle 1 = 180-110 = 70 degrees (linnear pair)
angle 2= 180-115 = 65 degrees (linnear pair)
angle 3 = angle 2 = 65 degrees (corresponding angles)
angle 4= 180 - angle 3 = 180-65 = 115 degrees (linnear pair)
(your teacher might not like this, depends on the cituation, but use 180 degrees in triangle to get 7)
angle 7 = 180 -angle1 -angle 2= 180-70-65= 45 degrees
angle 6 = angle 7 = 45 degrees ( vertical angles)
angle 8= 180- angle 7= 180-45 = 135 ( linnear pair)
angle 9 =angle 6 = 45 degrees (corresponding angles)
angle 5=angle 9=45 degrees (vertical angles)
Find the percent rate of change for each
function and tell whether it shows
exponential growth or decay.
a) y = 110(.95)
b) y = 1.08(1.07)
plz help!!
Answers
Answer:
Step-by-step explanation:
a) f(t) = 110(0.95)^t
0.95<1, so the function shows 5% decay
b) f(t) = 1.08(1.07)^t
1.07 > 1, so the function shows 7% growth
1. The amount of share per person varies inversely as the number of persons among whom the amount is to divided. Suppose the share per person is Php 257 350, if there are 7 people. How much is each share if 12 people will partake of the amount?
Given:
Asked:
Representation:
Equation:
Solution:
2. The weight of an object on Mars varies directly as its weight on Earth. A person who weighs 120 kg on Earth weighs 48 kg on Mars. How heavy would a 100-kg person weigh on Mars?
Given:
Asked:
Representation:
Equation:
Solution:
3. A simple interest (I) varies jointly with the amount of principal (P) and the length of time. Suppose I = Php 600 when P = Php 10 000 and t = 2 years. What is the interest when P = Php 15 000 and t = 4 years?
Given:
Asked:
Representation:
Equation:
Solution:
Answers
Answer:
150120.83 ; 40 ; 1800
Step-by-step explanation:
Amount of share per person = x
Number of persons = y
x = k/y
k = constant of proportionality
k = xy
257,350 * 7 = 1801450
k = 1801450
If there are 12 persons ; y = 12
x = k/y
x = 1801450 / 12
x = 150120.83
2.) weight on Mars = m
Weight in earth = e
m α e
m = ke
48 = 120k
k = 48 / 120
k = 0.4
m = 0.4 * 100
m = 40
3.)
I α pt
I = kpt
600 = k * 10000 * 2
600 = 20000k
k = 600/20000
k = 0.03
I = 0.03 * 15000 * 4
I = 1800
HOW DO YOU FIND ANGLE 1
Answers
Answer:
If we add up all the angles of any triangle, we should get 180 degrees. Therefore, Angle C = 90 (angle A) - 45 (angle B) = 45 degrees. Since there was a ray drawn from A through C the exterior angle of angle C is angle 1.
Step-by-step explanation:
a "one angle" A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. ... Because a full rotation equals 2π radians, one degree is equivalent to π180 radians.
I’ve been stuck on this for a few minutes. I’m not really sure what to do..
Answers
Answer:
Step-by-step explanation:
You know that the three angles of a triangle add up to 180°. If one angle is 38° and another angle is 67°, then the third angle must be 180°-38°-67° = 75°.
You have a straight line across the bottom, and three angles meeting in the middle of it. Those three angles add up to 180°. One of them is 75°, another is 50°, so the third angle must be 180°-75°-50° = 55°.
That leaves you with one unknown angle. ? = 180°-40°-55° = 85°
A plumber has 150m of pipes.The plumber uses 20% fitting a central heating system,and then 25% of what is left to fit a bathroom. How much pipe does the plumber use to fit the bathroom?
Answers
Answer:
30 m
Step-by-step explanation:
Total length of pipe = 150 m
Central heating system = 20% of 150 m
= 0.2 × 150
= 30 m
Length of pipe remaining = 150 m - 30 m
= 120 m
Bathroom fitting = 25% of 120 m
= 0.25 × 120
= 30 m
The plumber used 30 m of pipe to fit the bathroom
Dexter has worked out 3/5 x 8 here is his working. explain the mistake he has made.
Answers
Answer:
He multiplyed 3x8 and 5x8 when it should be 3x8 and 5x1 because you but 1 under the 8 to make it into a fraction.
Step-by-step explanation:
Help me plssssssssssssssssssssa
Answers
Answer:
i believe the answer is A.
Step-by-step explanation: Because the angle PQS is not a 90 degree angle it should equal 180 degrees, it is now lowered down to the answers A. and B. Answer B. has 2x and answer A. has just x. if it were to be 2x then the x would have to represent 30 degrees but the point plotted x does not equal 30 degrees therefore leaving the last answer as A. x-60=180
0.0007 in standard form
Answers
Answer:
very simple 0.0007 = 7 / 10000 lol
Step-by-step explanation:
hope this is helpful!
You and your friend are two of eight servers working a shift in a restaurant. At the beginning of the shift,
the manager randomly assigns one section to each server. Find the probability that you are assigned
Section 1 and your friend is assigned Section 2. Express you answer as a fraction in simplest form.
The PROBABILITY is _____.
pleeease i need this by noon
Answers
Answer:1/56
Step-by-step explanation:1. 8P8 = 8!/(8-8)!=8!/0!=8
2. 6P6 = 6!/(6- 6)! = 6!/0!=6
3.6/8=7.8=1/56
what is 4x-7y=3
x-7y=-15
Answers
Answer:
0 i think if im wrong im sorry
Step-by-step explanation:
Answer:
The answer is x=6, y=3
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of y opposite(−1)⋅(4x−7y)=(−1)(3)x−7y=−15
Simplify.
−4x+7y=−3x−7y=−15
Add the two equations together to eliminate y from the system.−4x+7y=−3+x−7y=−15−3x=−18
Divide each term by −3 and simplify.
x = 6
Substitute the value found for x into one of the original equations, then solve for y.
y = 3
The solution to the independent system of equations can be represented as a point.(6,3)
The result can be shown in multiple forms.
Point Form: (6,3)
Equation Form: x=6, y=3
Two angles are supplementary. The measure of one angle is 5 greater than 40% of the other. Find the measures of both angles.
Answers
Answer:
Step-by-step explanation:
0.40beta%2Bbeta=180-5
1.40beta=175
beta=175%2F1.40
highlight%28beta=125%29�
then alpha%2B125=180 =>alpha=180-125 =>highlight%28alpha=55%29
The required values of angles are 125 and 55.
What is angle ?When two straight lines come together at a point, they produce an angle, which is represented by the symbol.
Given that,
Two angles are supplementary to each other.
Let angles are α and β.
According to given condition,
α + β = 180 (1)
Also, the measure of one angle α is 5 greater than 40% of the other.
α = 0.4 β + 5 (2)
Substitute the value of α in equation (1),
0.4 β + 5 + β = 180
1.4 β = 175
β = 175 / 1.4 = 125
The value of α =0.4 x 125 + 5 = 50 + 5 = 55
The value of angle α and β are 125 and 55.
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Answer this question ASAP . I will give you all my points. I will give brainly .
Answers
Step-by-step explanation:
149,200,000/384,000
388.54
Find the area of the sector.
310 degrees
11ft radius
Answers
Answer:
area of sector=310/360×π×11²=327.46ft²
Which of the following is most likely the next step in the series?
Answers
Answer:
your answer is D
Step-by-step explanation:
hope it helps
have a great day (:
Answer please
A
B
C
D
Answers
Answer:
B
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
The graphs of square root functions are always curved.
PLEASE HELP ASAP
What is the area of this polygon?
Answers
Answer:
45
Step-by-step explanation:
The area can be found by sectioning the polygon into three shapes. A rectangle with an area of 18 inches can be found at the bottom, while the top can be divided into two triangles. The triangle on the left has an area of 18in^2, (1/2*6*6) while the triangle on the right has an area of 9 in^2 (1/2*6*3).
Total area for all three shapes is 45 sq. inches
The table shows the approximate area in square miles of the largest and smallest states in the United States.
State Area (mi2)
Alaska 873
Rhode Island 392
What is the difference between the areas in square miles?
__ square miles
Answers
The difference between the areas in square miles is 481.
Given that Alaska is 873 sq miles in size, while Rhode Island is 392 sq miles in total, to determine what is the difference between the areas in square miles, the following calculation must be performed:
873 - 392 = X 481 = X
Therefore, the difference between the areas in square miles is 481.
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