The provided quadratic equation, which has a negative discriminant value of -16, has no real number solutions.
What is the discriminant value in a quadratic equation?The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.
For this equation, the discriminant value can be given as,
[tex]D=b^2-4ac[/tex]
In this equation,
If the discriminant value is positive (D>0), then the equation has 2 real solution.If the discriminant value is equal to zero (D=0), then the equation has 1 real solution.When the discriminant value is negative (D<0), then the equation has 2 imaginary solution.The quadratic equation given as,
[tex]0=ax^2 +bx +c[/tex]
This quadratic equation has a discriminant value of -16. As the value of discriminant is negative, thus it has no real solution.
Hence, the provided quadratic equation, which has a negative discriminant value of -16, has no real number solutions.
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Hal has just graduated from four years of college. for the last two years, he took out a stafford loan to pay for his tuition. each loan had a duration of ten years and interest compounded monthly, and hal will pay each of them back by making monthly payments, starting as he graduates. hal’s loans are detailed in the table below. year loan amount ($) interest rate (%) subsidized? junior 4,048 5.9 n senior 5,295 7.6 y once all of his loans are paid off, what will hal’s total lifetime cost be? round all dollar values to the nearest cent. a. $9,023.28 b. $8,467.20 c. $11,498.40 d. $13,615.20
Hal's total lifetime cost will be $13,615.20.
Data and Calculations
Table detailing the Loans
1: Year Junior Senior
2: Loan Amount ($) 4,048 5,295
3: Interest Rate (%) 5.9% 7.6%
4: Subsidized? No Yes
5: Future value 4,539.76 5,295
6: Total repayment $6,020.76 $7,575.51
Total lifetime cost = $ 13,596.27 ($6,020.76 + $7,575.51)
What is the future value of the loan?
The future value of the loan is determined based on no subsidy and interest rate compounded for two years for the Junior Loan.
Junior loan Amount after two years = $4,539.76
Loan Term = 10 years
Interest Rate = 5.9%
Compound Monthly (APR) Pay Back Every Month
Therefore, Payment Every Month $50.17
Total of 120 Payments $6,020.76
Total Interest $1,481.00
Loan Amount = $5,295
Loan Term = 10 years
Interest Rate = 7.6%
Compound Monthly (APR)
Pay Back Every Month
Therefore, a Payment Every Month of $63.13
Total of 120 Payments $7,575.51
Total Interest $2,280.51
Thus, Hal's total lifetime cost will be d. $13,615.20.
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Geometry helppppp plssss
Quadrilateral ABCD is inscribed in this circle
B
What is the measure of /A?
Enter your answer in the box
Answer:
Here,
x+2+3x+6 = 180 [ Sum of opposite angle of cyclic quadrilateral is Supplementary ]4x + 8 = 180 4x = 180 - 8x = 172/4x = 43Now,
Angle A = 3 * 43 + 6= 129 + 6= 135
what would (200,000,450,300,127)^0 pls help
Answer:
1
Step-by-step explanation:
Clayton filled five containers with water each container holds 2 gallons and 2 quarts how many quarts of water does Clayton have
Answer:
30 quarts
Step-by-step explanation:
4 quarts = a gallon
4 quarts +2 quarts = 6 quarts
5 containers*6 quarts(each)
5*6=30
Which of the folloyis equivalent to the expression below?
9x^2 + 30x + 25
Answer:
(3x-5) (3x-5)
Step-by-step explanation:
<33
I hate text limits!!
Options to question
257
254
256
255
Answer:
256
Step-by-step explanation:
You get the median by aligning all the numbers then start taking out the number from highest to lowest like this, 1, 2, 3, 4, 5, you take out the 1 and the 5 then the 2 and the 4. The median in the end would 3.
work out the value of 5y-6 when y=9
Hey there!
5y - 6
= 5(9) - 6
= 45 - 6
= 39
Therefore, your answer is: 39
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PLEASE HELP MEEEEEEE
Answer:
so as you see im in middle school but i can solvee it
Step-by-step explanation:
even im in 6th grade i do well with high school stuff ok now let me xplain you just read it carifully eamil your teacher ask for help and doneee your brain is working bam bam bam
The expression 4w + 7 + 3p + 8x contains how many terms?
Answer:
4 terms
Step-by-step explanation:
Terms being 4w, 7, 3p, 8x.
I need help pls for this
According to the question,
Time taken by Jesse to run 1 mile = 7 minutes
Also,
Time taken by Jesse to run 1 mile = 2½ minutes + Michael's time [tex]\;[/tex]
Now, we can say that :
⇒ 7 minutes = 2½ minutes + Michael's time
⇒ (7 - 2½) minutes = Michael's time
⇒ (7 - 5/2) minutes = Michael's time
⇒ (14 - 5)/2 minutes = Michael's time
⇒ 9/2 minutes = Michael's time
⇒ 4½ minutes = Michael's time [Answer]
Step-by-step explanation:
Question:-In track practice, Jesse ran a mile in 7 minutes. His mile time was2.5 minutes faster than Michael's time. Write and solve an equation to calculate Michael's mile time.
Solution
Jessie time 7 minute
Michael’s time is 2.5 times slower
Divide 7 minutes by 2.5 to get answer
Jesse = 7
Michael = 2.5 X
7 = 2.5 X
7/2.5 X = 17.5 to check answer divide 17.5 by the 2.5, your answer is 7.
Or if it was 2.5 more
we subtract 2.5 from 7
=> 7 - 2.5
=> 4.5
=> 4 ½
----
3. Find the center of the circle that can be circumscribed about EFG with E(6,4), F(6,2), and G(10,2).
A. (6, 4)
B. (8,3)
C. (3,8)
D. (4,2)
Step-by-step explanation:
The general form of the equation of a circle is
(x-a)^2 + (y-b)^2 = r^2 where the center is (a,b)
Plugging in the given values:-
(6 - a)^2 + (4-b)^2 = r^2 and
(6-a)^2 + (2-b)^2 = r^2
Subtracting:-
(4-b)^2 - (2 - b)^2 = 0
16 - 8b + b^ - (4 -4b + b^2) = 0
12 - 4b = 0
-4b = -12
b = 3
Similarly if we take the 2 points (6,2) and G(10,2) and make two equations we can find the value of a
(6-a)^2 + (2-b)^2 = r^2
(10.a)^2 + (2-b)^2 = r^2 subtract::-
(6-a)^2 -(10-a(^2 = 0
this will give a = 8
so the center of the circle is the poit (8,3)
PLS HELP
AND EXPLAIN
NO LINKS
Answer:
5/8 (Decimal 0.625)
Step-by-step explanation:
Equation with variables filled is: 1/2 + (3/4 - 5/8)
3/4 - 5/8 is 1/8
Equation is now 1/2 + 1/8
1/2 is also 4/8
4/8 + 1/8 = 5/8
The answer is 5/8.
Brainliest please?
Dexter has four different coins in his pocket he randomly selects a coin from his pocket replaces it and select and a coin what is the probability that both coins are dimes?
Answer: 1/4
Step-by-step explanation:
ez
x = -4y + 36
x = 4y -28
This is using the substitution method. **PLEASE HELP! I’M SO LOST I DON’T UNDERSTAND THIS AT ALL.**
Answer:
Hope the picture will help you..
Which is the equation of a circle whose center is at the origin and that passes through the point (3, 5)?
Answer:
x² + y² = 34
Formula:
(x - h)² + (y - k)² = r² where (h, k) is the centerHere find the radius using distance formula: → origin : (0, 0)
√(x2-x1)²+(y2-y1)²√(3-0)²+(5-0)²√9+25√34Thus the equation of circle:
(x - 0)² + (y - 0)² = (√34)²(x - 0)² + (y - 0)² = 34x² + y² = 34Answer:
H. [tex]x^2+y^2=34[/tex]
Step-by-step explanation:
Equation of a circle (in standard form)
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(where (h, k) is the center and r is the radius of the circle)
Given center = (0, 0):
[tex]\implies (x-0)^2+(y-0)^2=r^2[/tex]
[tex]\implies x^2+y^2=r^2[/tex]
As the circle passes through point (3, 5):
[tex]\implies 3^2+5^2=r^2[/tex]
[tex]\implies r^2=34[/tex]
Final equation
[tex]x^2+y^2=34[/tex]
Lucy and her friends painted a giant picture.
They used 4 litres of paint.
All the paint came in 500 ml bottles.
The bottles cost £2.67 each.
Paint
500 ml
£2.67
What was the total cost of the 4 litres of paint they used?
Answer:
£21.36
Step-by-step explanation:
in one litre of any substance there is 1000ml and 500mlx2= 1litre
so it then requires 8 bottles
2.67 x 8 = 21.36
so there is the answer I hope it helped!
Find the domain of the graphed function.
Answer:
option d bro
Step-by-step explanation:
the answer is option d x>=0
which set of data is influenced by an extreme x and y values compared to other data points
The set of data is influenced by an extreme x and y values compared to other data points is an outlier.
What is an outlier?It should be noted that an outlier simply means data points that diverge in big way from the overall pattern.
Outlier can have extreme x or y value when compared to other data points. Also, it can be distant from the rest of the data without the extreme xor y values.
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Answer:a on usa test prep.like it
Step-by-step explanation:
How do you write 1.8 × 10–3 in standard form?
Answer:
0.0018
Step-by-step explanation:
A recipe that serves 6 calls for 3/4 cup of sour cream. How much sour cream is needed to serve 8?
Answer:
1 cup
Step-by-step explanation:
8/6 times 3/4 = 1 cup -crispin
To serve 8 calls, 1 cup of sour cream is required.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that,
6 serve = 3/4 cup of sour cream
1 serve = (3/4×6) cup of sour cream
8 serve = (3/4×6)×8 cup of sour cream
8 serve = 1 cup of sour cream
Hence, to serve 8 calls, 1 cup of sour cream is required.
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GIVING BRAINLIEST HELP NEEDED
The volume of the prism given its dimensions is equal to 160 cubic units.
What is the volume of the prism?
The given prism is made up of two prisms. The volume of the prism is the volume of the two shapes.
One of the prisms have the dimensions: 4 x 4 x 5.Volume = 80
The other prism has the dimensions: 8 x 2 x 5.Volume = 80
Volume of the prism = 80 x 2 = 160 cubic units.
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A store is having a sale.Each item is on sale for half off the regular price,m
Which pair of equivalent expressions represents
Answer:
I'm just awarding a random person and you have won a thousand dollars
Divide the following. Put
your answer in scientific
notation.
(3.4 X 10^-1) / (4)
Answer:
8.5 × 10-2
Step-by-step explanation:
I believe this is it
Which of the following expressions is equal
to 4/5 x 7?
Answer:
15.75÷2.25
Step-by-step explanation:
I think it's that I'm not completely sure so yeah
The label on a can starts 2.5 in below the lid. What
is the area of the label?
From the computation below, the area of the label is 707 Inches.
This calculation is carried out using the theorem of the area of curved shapes.
What is the Curved Surface Area of a Cylinder?The formula for the Curved Surface Area of a Cylinder is given as:
2 [tex]\pi[/tex] rh
= 2 [tex]\pi[/tex] x 7.5 x 15.
This assumes that the label also ends at an equal distance from the top of the lid. Hence 15in = 20 - (2.5 x2);
Recall that [tex]\pi[/tex] = 22/7, hence
= 2 x (22/7) x 7.5 x 15
= 707.142857143
Approximately, this equals; 707 Inches.
Hence, the area of the label = 707 inches.
Notice that the question is incomplete. From inference, however, the general calculation above contains the principles for calculating the area of a label.
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A continuous random variable is a random variable: A. that is derived from a random population B. whose values are countable C. that is determined by random probability D. that can assume any value in one or more intervals
Which of the following shows an equivalent expression to
[(5-3). 12) if only the associative property was used to transform the expression?
А
[5. (3.12)]
(В
[(5.12). 3)
C
[(3.5). 12]
Use the function f(x) = x2 − 6x 3 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x). a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8 3 6 12 18
A function assigns values. The difference between the maximum value of g(x) and the minimum value of f(x) is 18.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Since the maximum of the parabola function g(x) will lie at its vertex, therefore, the maximum will be at (3,12). Now, if we try to find the minimum of the function f(x). We need to plot the function on the graph as shown below.
As the minimum of the function f(x) will lie at the vertex of the parabola function, therefore the minimum of the function f(x) will lie at (3,-6).
If we try to find the difference between the maximum value of g(x) and the minimum value of f(x), then we will get,
[tex]\rm Difference=12-(-6)=18[/tex]
Thus, the difference between the maximum value of g(x) and the minimum value of f(x) is 18.
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guy above is right, 18 is the correct answer
Julie wants to randomly choose two out of three friends, Margarite, Anita, and Sasha, to go with her to a
concert. In which method does one of Julie's friends have more than a fair chance of being chosen?
Slip system can be used to give more than fair chances of selection where the number of slips for one is more than the other.
There are multiple ways of selecting random sample like tossing a coin, flipping a die, lottery system.
Describing a method which can be used to provide more than a fair chance of selection is as follows:
Julie has 3 friends, so make the total number of slips say n
where n is not a multiple of 3.
If n is not a multiple of 3 then her 3 friends will not get an equal chance of being selected.
Consider n=5
She has 3 friends, so 2 slips has repeated names, thus creating more chance of being selected than the one who has name only on one slip.
Thus, this method may result in more chance of selection of one over other.
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A rectangle measures 4
3
4
inches by
1
3
inches. What is its area?
Answer:
1 7/12 in^2.
Step-by-step explanation:
Area = length*width
4 3/4 * 1/3
= 19/4 * 1/3
= 19/12
= 1 7/12 in^2.