Question 9 Multiple Choice Worth 1 points)
(08.03 MC)
The Quadratic Formula, x= -b* vb2 - 4ac was used to solve the equation 3x² + 4x - 2 = 0. Fill in the missing denominator of the solution.
A. -4
B. 2
C. 3
D. 6
Answers
Option C is correct, the missing denominator of the solution is 3.
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 .
The given quadratic equation is 3x² + 4x - 2 = 0.
We have to use the quadratic formula to find root
x = -b±√b²-4ac/2a
From the equation a = 3, b= 4 and c=-2
Plug in these in formula
x = -4 ±√ 4²-4(3)(-2)/2(3)
x = -4 ±√16+24/6
x = -4 ±√40/6
x = -4 ± 2√10/6
x = -2 ± √10/3
Hence, the missing denominator of the solution is 3.
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Related Questions
1. Elissa is buying a new car. She has an excellent credit score of
822. She is able to get a low interest rate of 2.25% and will
have a down payment of $4,000 on a car that costs $19,500.
Calculate her monthly payments for a 5-year loan.
Answers
Answer:
$273.38 per month
Step-by-step explanation:
Monthly Payment Formula
[tex]\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}[/tex]
where:
PMT = monthly paymentP = loan amounti = interest rate per month (in decimal form)n = term of the loan (in months)Given:
P = $19,500 - $4,000 = $15,500i = 2.25% / 12 = 0.0225 / 12n = 5 years = 60 months[tex]\implies \sf PMT=\dfrac{15500 (\frac{0.0225}{12})(1+\frac{0.0225}{12})^{60}}{(1+\frac{0.0225}{12})^{60}-1}[/tex]
[tex]\implies \sf PMT=273.3788438[/tex]
[tex]\implies \sf PMT=\$273.38[/tex]
NEED HELPPPP PLSSSSS !!!
Answers
Answer: The answer is choice b .
Step-by-step explanation: HOPE IT HELPS .
writing math equation plspls help
Answers
Answer:
Varies based on the amount of games played.
Step-by-step explanation:
t = total cost
g = games played
For one game, t = 25
For an unknown amount of games, t = 25g
The total cost is the amount of games played times 25.
Anyone can help me with this multiple choice question please?? 70 points
Answers
Answer:
58 is A
59 is A
Step-by-step explanation:
Hope this helps
Answer:
58. A (12 x tan 60°)
59. A (2 + 14 tan 35)
Step-by-step explanation:
tan Ф = [tex]\frac{opposite}{adjacent}[/tex]
Eric and Linda are paid 52.25 for they're work. Eric worked 3.5 hours, and Linda worked 2 hours. They split the money according to the amount of time they worked. How much is Erics share of the money?
Answers
Answer:
$33.25
Step-by-step explanation:
Taking Eric's hours as a ratio to the total hours :
3.5 : 3.5 + 23.5 : 5.53.5 x 2 = : 5.5 x 27 : 11Multiply the ratio into the amount paid :
52.25 x 7/114.75 x 7$33.25Eric's share of the money is $33.25
Answer:
$33.25
Step-by-step explanation:
The combined, total number of hours they worked is
3.5 hours + 2 hours = 5.5 hours
The total pay is $52.25
The pay rate is $52.25/(5.5 hours) = $9.50/hour
Eric worked 3.5 hours.
Pay = 3.5 hours × $9.50/hour = $33.25
If a1 = 3 and an = (an-1)^2+4 then find the value of a4
Answers
Answer:
Here is the ans hope it helps:)
Miles can type 60 words per minute. Let w represent the total number of words Miles can type and m represent the number of minutes he types. Which equation best represents this?
Answers
Answer:
The correct answer is w = 60m
Step-by-step explanation:
Add these auxiliary points and lines to create 2 right triangles: Label the origin P. Plot points M= (2, 0) and N = (6, 0). Draw segments PB' and MB, and NB.' You may use digital tools or you may draw your solution and embed a screenshot of your completed work here.
Answers
Answer:
Just plot the points, then connect. It's very easy. Try it yourself.
Alana sold 6 oranges for $3. Write the equation that represents the price for any number of oranges.
Answers
Answer:
50 cents ($0.50)
Step-by-step explanation:
We need to find the price for one orange. To get one orange, you have to divide 6 by 6. Anything you do to one side of the equation must be done to the other side. You have to divide 3 by 6. If you do this, you get .5, or 1/2. In money, that translates to 50 cents.
Hope this helps!
Step-by-step explanation:
the price of one orange is indeed 3/6 = 1/2 = $0.50.
the equation residential the price for any number of oranges contains then a variable, say x, to stand for the number of purchased oranges :
p(x) = 0.5x
meaning that the price of x oranges is 0.5×x.
The spinner shown is spun 4 times. What is the probability that you will spin gray at least 2 times?
Answers
Answer:
1 / 2
Step-by-step explanation:
Total times spun = 4
Probability of getting gray 2 times = 2 / 4 = 1 / 2
A stack of index cards contains 2 pink cards, 3 green cards, and 1 yellow card, Nancy will pull 3 cards from the stack, one at a time without looking. She will NOT replace a card before pulling the next card. What is the probability that she will draw a yellow card, then a green card, then a pink card?
Answers
Answer:
1/20
Step-by-step explanation:
This is conditional probability there the number of possible outcomes reduces everytime a card is drawn
Therefore probability= 1/6×3/5×2/4=1/20
A surveyor is standing 550 feet from the base of a redwood tree in the California Redwood Forest. The tree is 362 feet tall. Sketch a drawing that models the situation and then find the angle of elevation of the top of the tree from the spot where the surveyor is standing.
Answers
Answer:
b
Step-by-step explanation:
B is a answer
Write the power (-8)² in repeated multiplication form. Then find the value of the power.
The power in repeated multiplication form is
The value of the power is
Answers
Answer:
1.) The power in repeated multiplication form is: -8 × -8
-----> Since -8 is raised to the power of 2, it means that there should be two -8's being multiplied together.
2.) The value of the power is: 64
-----> Remember, a negative number times a negative number is equal to a positive number. Therefore, -8 × -8 = 64.
Solve the system of equations by the addition method.
6x - y = 12
6x + y = 0
Answers
6x - y = 12
6x + y = 0
——————
12x = 12
12x/12 = 12/12
X = 1
Now plug x back into one of the equations.
6x + y = 0
6(1) + y = 0
6 + y = 0
(Subtract both sides by 6)
Y = -6
Marie is buying a discount pass to a public swimming pool.
• There is a one-time $12 fee to buy the pass.
• It costs $2 for each visit to the pool. Enter an equation that represents the total cost, C, in dollars, for Marie to visit the pool n times.
Answers
Answer:
2c+12
Step-by-step explanation:
I aced maths class
Find the mean, median, and mode of the data set 67, 52, 50, 99, 66, 50, and 57 with and without the outlier. which measure does the outlier affect the most?
Answers
Answer:
Mean - 63
Median - 57
The Mean affects the outlier the most.
Step-by-step explanation:
Mean is where u add all the numbers up and then divide them by how many are there. So 50 + 50 + 52 + 57 + 66 + 67 + 99 = 441. There are 7 numbers so 441/7 which equals 63. So mean is 63.
For median u order them least to greatest which is 50,50,52,57,66,67,99. The median is the middle number of this set which is 57.
Outlier is the first number which is 50. So the mean is the answer for which measure does the outlier affect the most bc 63 is bigger than 57 the median. So basically which is a more difference.
Write an equation of a line in slope-intercept form with the given slope and y-intercept slope:8,y-intercept:-3
Answers
Answer: y=3x-8
Step-by-step explanation:
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the equation of the line in slope intercept form if its slope is 8 and its y-intercept is -3?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
y=8x-3
[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]
Slope Intercept form, as the name implies, has slope & intercept in its equation.
It looks like y=mx+b, where "m" is the slope and "b" is the y-intercept.
To determine the equation of the line, we need to write the value of m, which in this case is 8, in lieu of m:-
y=8x+b
Same with the y-intercept:-
[tex]\tt{y=8x+(-3)}[/tex]
Which simplifies to
[tex]\tt{y=8x-3}[/tex]
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
A circle with a radius of 6 m has an arc of 4pi m. What is the measure of the central angle?
A) 120°
B) 90°
150°
D) 60°
Answers
Answer:
I think the answer is A 120°
help!! im stuck on delta aghh
Answers
Answer:
see below
Step-by-step explanation:
5t+9t and 14t
Becuase the two numbers have the same variable, you can add them together. The exponents do not change.
5+9=14
5t+9t= 14t
Answer:
5t +9t is equivalent to 14t
5t -9v is not equivalent to 9v-5t
5(9t-5) is not equivalent to 45t-5 because 5(9t-5) is 45t-25
t +t + t +v is not equivalent to 4tv
Jenny, Kenny, and Penny together have 51 marbles. Jenny has m marbles,
Kenny has double as many marbles as Jenny has, and Penny has 12.
Answers
Answer:
m = 13
Step-by-step explanation:
51 = m + 2m + 12
3m = 39
m = 13
i need help with math
Answers
Answer:
Step-by-step explanation:
7) The lengths of the tangent from an external point to a circle are equal.2x - 1 = x + 10
2x = x + 10 + 1
2x = x + 11
2x -x = 11
[tex]\sf \boxed{\bf x = 11}[/tex]
8) Radius : XC
Chord: CB
Diameter : AB
Name of the circle: X {a circle is named by its center}
Ariana has $40 to spend buying books online. Each book costs $8.50. It costs $4.00 to ship a package of books. How many books can Ariana buy?
Answers
Answer:
4
Step-by-step explanation:
First subtract the amount of shipping
40-4
36
She has 36 dollars to spend on books
36 divided by 8.50
4.235294118
Round down since she cannot buy part of a book
She can buy 4 books with some money left over
What is the vertex of the graph shown below? Write your answer in the form
(x,y).
Answers
The figure of Circle A shown below has diameter PR which intersects QS at point B and the measurements shown. Calculate the following measures:
m
Complete all calculations and work on a separate piece of paper, including any figures that you use. Once you have found all of the measures, upload the solution and your work here.
Please answer ASAP!!! 35 POINTS!!!
Answers
The figure is an illustration of the relationship between the angles in a circle and arc
The measure of angle PSQFrom the figure, the arc PQ is subtended by the angle PAQ.
This means that:
PQ = ∠PAQ
Given that ∠PAQ = 130, it means that:
Arc PQ = 130
The measure of PSQ is then calculated using:
∠PSQ = 0.5 * Arc PQ ----- inscribed angle is half a subtended angle.
This gives
∠PSQ = 0.5 * 130
∠PSQ = 65
Hence, the measure of ∠PSQ is 65 degrees
The measure of arc QRA semicircle measures 180 degrees.
This means that:
QR + PQ = 180
So, we have:
QR = 180 - PQ
Substitute 130 for PQ
QR = 180 - 130
QR = 50
Hence, the measure of QR is 50 degrees
The measure of arc RSThe measure of arc RS is then calculated using:
∠RPS = 0.5 * Arc RS ----- inscribed angle is half a subtended angle.
Where ∠RPS = 35
So, we have:
35 = 0.5 * Arc RS
Multiply both sides by 2
Arc RS = 70
Hence, the measure of RS is 70 degrees
The measure of angle AQSIn (a), we have:
∠PSQ = 65
This means that:
∠PSQ = ∠PSB = 65
So, we have:
∠PSB = 65
Next, calculate SBP using:
∠SBP + ∠BPS + ∠PSB = 180 ---- sum of angles in a triangle.
So, we have:
∠SBP + 35 + 65 = 180
∠SBP + 100 = 180
This gives
∠SBP = 80
The measure of AQS is then calculated using:
AQS = AQB = 180 - (180 - SBP) - (180 - PAQ)
This gives
AQS = 180 - (180 - 80) - (180 - 130)
Evaluate
AQS = 30
Hence, the measure of AQS is 30 degrees
The measure of arc PSA semicircle measures 180 degrees.
This means that:
PS + RS = 180
This gives
PS = 180 - RS
Where RS = 70
So, we have:
PS = 180 - 70
Evaluate
PS = 110
Hence, the measure of arc PS is 110 degrees
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Help me on this question please!
Answers
Answer:
9,12,19
Step by step explanation:
What is the solution to this system of linear equations? x y = 4 x − y = 6 (4, 6) (6, 4) (5, −1) (−1, 5)
Answers
The solution to the system of linear equation x + y = 4 and x - y = 6 is (5, -1).
How to find the variable in a system of equation?
x + y = 4
x - y = 6
Therefore, let's add the equations.
2x = 10
divide both sides by 2
x = 10 / 2
x = 5
Let's find the value of y
Therefore,
x + y = 4
5 + y = 4
y = 4 - 5
y = - 1
Therefore, the solution of the system of equation is (5, -1)
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Point C is on line l
The figure is not drawn to scale
Which of the following additional statements would allow us to prove that the sun of the interior angle measures in triangle ABC is 180 degrees
A. Angle 1 congruent to angle 2 only
B. Line l parallel to AB only
C. Either statement is sufficient
D. We need both statements
E. Even with both statements, we still could not prove that the sum of the interior angle measures in triangle ABC is 180 degrees
Answers
The additional statement that would allow us to prove that the sum of the interior angle measures in triangle ABC is 180 degrees is this: B. Line l parallel to AB only.
What is the right statement?The right statement that would allow us to prove that the sum of the interior angle measures in triangle ABC is 180 degrees is the expression that shows that line 1 is only parallel to AB.
This answer can be arrived at by summing up all of the angles and equating them to 180 degrees.
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WILL GIVE BRAINLIEST
How would the mean change if the number 4 were added to the set?
3, 3, 2, 2, 2, 8, 8, 4
Question 4 options:
decrease
increase
no change
Answers
Answer:
No Change
Step-by-step explanation:
If you add all of the numbers, you get 32. When you divide it by how many numbers there were, you get 4. When you add 4 to 32, you get 36 and since you added one more number, you need to divide 36 by 9, which still makes 4.
NATION
Which of the following statements are true? Check all that apply.
Answers
domain and range of this graph
Answers
Answer:
c. D = {x | x ≥ -3}, R = {y | y ≥ 0}
Step-by-step explanation:
The domain is the horizontal extent of the graph. The range is its vertical extent.
__
We observe that point (-3, 0) is a point on the graph, so x=-3 is included in the domain, and y=0 is included in the range. The only answer choice that has the "or equal to" case included for both x and y is ...
D = {x | x ≥ -3}, R = {y | y ≥ 0}
