The discriminant is greater than zero, the equation has 2 solutions
How to calculate the discrimant of quadratic equationGiven the quadratic expression as shown:
-x^4 + 4x + 1 + 3 = 0
x^4 - 4x - 4 = 0
The discriminant is given as b^2 - 4ac
where;
a = 1
b = -4
c = -4
Substitute
D =(-4)^2 - 4(1)(-4)
D = 16 + 16
D = 32
Since the discriminant is greater than zero, the equation has 2 solutions
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Answer: 2
Step-by-step explanation: got it right
3. You are a senior consultant at a highly prestigious agency. You did a great job in 2020,
which means you are eligible for a bonus payment.
Your boss gives you three options:
1. You flip a coin 10 times, and for every head you obtain $2,000.
2. You roll three dice and obtain $1,000 for every dot you count.
3. You get paid $9,000.
(a) Which option has the highest expected payout? Justify your answer.
(b) Which options are acceptable to you, if you want to be at least 95% sure to obtain
at least $6.000? Justify your answer.
(c) Which option should you choose to maximise your chances for a $16.000 bonus
payment? Justify your answer.
Answer:
(a)The highest expected payout option 1
(b)1 and 3
(c)Option 1
Step-by-step explanation:
In this you just multiply the amount you are paid by chance if all are favorable to you, so in option 1 you would get $2,000 for each head you get on a flipped coin, so that would be 10*$2,000=$20,000 that's the highest paid, in the dice you get a maximum of 6 dots each, that would make $6,000*3=$18,000.
Rolling the dice can get you 5 scenarios where you don't get $6,000 when all three are lower than $6,000 which would be getting three 1's, two 1's and a 2, ot two 2's and a 1. That's why only option 3 and 1 are available for an almost certainity of getting $6,000
To know this you have to remember last problem, the getting $9,000 will never give you $16,000, and the dice would give you only 3 scenarios where you could end up winning $16,000 whihc would be getting all 6's, two 6's and a 5, or twop 5's and a 6, so your best option would be flipping the coin.
I need help quickly plz!!!!
Answer:
25:3
Step-by-step explanation:
50 / 6 is simplified to 25 / 3 which would equal 25 : 3.
What is the probability that Monday is the day before Tuesday?
Answer:
1/7
Step-by-step explanation:
7 days a week eazzsy
[tex]\to \bold{\frac{1}{7} \times 1 = \frac{1}{7}}[/tex]
So, [tex]\bold{\frac{1}{7}}[/tex] is the probability that Monday is the day before Tuesday.
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When rounded, what is the value of the 6 in 4.769
which set of ordered pairs does not show y as a function of x
Answer:
b does represent a function
Answer:
c
Step-by-step explanation:
a funtion cannot have and x coordinate repeatin g. there fore, because 2 repeats in c, c is the answer
Multiply.
(х4 + 1)(3х2 + 9x + 2)
Answer:
3x^6+9x^5+2x^4+3x^2+9x+2
is either x=10 or x=13 a solution to 10 + x >9 PLEASE HELP !!!
Answer:
have: 10 + x > 9
⇔ x > 9 - 10
⇔ x > -1
=> x = 10 or x = 13 is a solution to 10 + x > 9
Step-by-step explanation:
Answer:
have: 10 + x > 9
⇔ x > 9 - 10
⇔ x > -1
=> x = 10 or x = 13 is a solution to 10 + x > 9
Step-by-step explanation:
Find the value of a and b in the following = a + b
1. When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2, A. n1 must be equal to n2 B. n1 must be smaller than n2 C. n1 must be larger than n2 D. n1 and n2 can be of different sizes
Answer:
D. n1 and n2 can be of different sizes
Step-by-step explanation:
When we are trying to develop interval estimate for difference between two populations, we first select two samples from these populations. We get the interval using the required statistic.
These are:
- Sample size of both populations. Which are n1 and n2 respectively.
- then the Sample mean of two populations
- sample standard deviation.
The samples of different sample sizes can be used and we are not obligated to make use of the same sample size.
The current temperature is 54 °F, convert the temperature to Celsius.
Answer:
b) 12.2222
Step-by-step explanation:
(54°F − 32) × 5/9 = 12.222°C
Answer:
The answer is
B ) 12.2
Step-by-step explanation:
(54°F − 32) × 5/9 = 12.222°C
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Alex has locked himself out of his house! Thankfully, there is an upstairs window open, but he needs to use a ladder to try to get up to the window that is 10 feet high. If Alex leans a 10-foot ladder against the side of the house so that the bottom of the ladder rests 6 feet from the base of the building, how high up the house does the ladder reach? Round your answer to the nearest tenth.
Answer:
The answer to this would be yes
Step-by-step explanation:
Why you may ask? Because why not :D
Explanation:
It might help to draw out what's going on. You should draw out a right triangle. We know a = 6 is one of the legs while b is the unknown leg. The hypotenuse is c = 10. Use the pythagorean theorem.
a^2 + b^2 = c^2
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 100-36
b^2 = 64
b = sqrt(64)
b = 8
The top of the ladder can reach 8 feet off the ground.
A swimming pool holds10,000 gallons of water. If it were filled with a hose for 100 hours, how many gallons of water would be put in the pool each hour if the hose ran at a constant rate?
gallons
Answer:
100
Step-by-step explanation:
10,000 divided by 100 equals 100
Look at image please help me
Answer:
[tex] \frac{b}{a {}^{2} } [/tex]
Answer:
b/a^2
Step-by-step explanation:
Kimberly wants to buy a new pair of jeans. If the jeans were originally $48.00, but are on sale with a 20% discount, how much will Kimberly have to pay for the jeans?
Answer:
38.40
Step-by-step explanation:
48x .20=9.6
48-9.6=38.4
The amount of the money that Kimberly has to pay for the jeans will be $38.4.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.
Kimberly wants to buy a new pair of jeans.
If the jeans were originally $48.00, but are on sale with a 20% discount.
Then the amount of the money that Kimberly has to pay for the jeans will be
⇒ $48 (1 – 0.20)
⇒ $48 x 0.80
⇒ $38.4
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Dwayne works 14 hours per week at the veterinarians office he worked 168 hours last year.how many weeks did Dwayne work last year?
Find the zero of the graph
What is 70% of 150?........
Answer:
105%
Step-by-step explanation:
I hope this helped.
Answer:
105
Step-by-step explanation:
iI just pulled up a percentage calculator...
I need help hhhhhhhhhheeeeeeellllllppppp
Answer:
with what
Step-by-step explanation:
How many boxes with a Length/Width/Height of 1/4, 1/4, and another 1/4 would fit into a box with a Length/Width/Height of 3 1/4, 3, and 3 3/4?
9514 1404 393
Answer:
2340 small boxes
Step-by-step explanation:
Each unit of measure used for the large box will contain 4 of the smaller boxes. So, in terms of small boxes, the dimensions of the larger box are ...
(3 1/4)/(1/4) = (13/4)/(1/4) = 13 . . . length
3/(1/4) = (12/4)/(1/4) = 12 . . . . . . . width
(3 3/4)/(1/4) = (15/4)/(1/4) = 15 . . . height
Then the number of small boxes that would fit is ...
length × width × height = 13×12×15 = 2340
2340 cubes of size 1/4 will fit into the larger box.
Rewrite the expression in the form a^n
Answer:
a7/5
Step-by-step explanation:
In my town, gas prices are always listed to the thousandths place. Since the smallest coin we have is
the penny, we have to round them to the hundredths place. If the price of gas is $5.897, what will the
price be when we round it to the hundredths place?
Answer:
It would be rounded to $5.90 per gallon. As if something is 5 or above you round up and if it is 4 or less you round down.
based on the regression output which of the following is the predicted time in minutes that it took to gather the items if the order had 22 items
Answer:
63.89
Step-by-step explanation:
my teacher went over this in class
Helpppppppppppppppppppp
Answer:
30 30 120
Step-by-step explanation:
How many buckets of balls does the golf course need to sell
if 10 course packages are sold?
If 10 course packages are sold, the golf course must sell
buckets of balls.
Check
爷爷，圣诞节快到了，但是我不想要任何礼物，只有你活着，呼吸和健康。那是我的圣诞愿望
Your salary used to be $37,000 per year.
You earned a 2% raise. After the raise, your salary was
per year.
Answer:
$37,740
Step-by-step explanation:
Salary = 37000
Raise = 2%
(37000 * 2/100) or (37000 * 2%) = $740
Answer: $37000 + $740 = $37740
can someone please help me (: The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part B: Justify why the relationship shown in the graph is a proportional relationship. *
Answer:
Step-by-step explanation:
Let the equation of the line representing relation between the euros and dollars is,
E = mD + b
Where 'E' = Number of euros
D = Number of dollars
m = slope of the line
b = y-intercept
Slope of a line which passes through two points (120, 90) and (400, 300) will be,
m = =
m = 0.75
Equation of the line passing through (120, 90),
90 = 0.75(120) + b
b = 90 - 90 = 0
Therefore, equation of the line will be,
E = mD
E ∝ D
Here m = Proportionality constant
And the relation between the numbers of Euros and US dollars is a proportional relationship.
To visit her grandmother, Jessica takes a horse 3.31 kilometers and a motorcycle 1 kilometer.
How many kilometers is Jessica's journey in total?
Total journey of Jessica is 4.31 kilometer.
To visit her grandmother, Jessica takes a horse 3.31 kilometer and a motorcycle 1 kilometer.
What is Total distance?
The actual distance between the places from which the material is transported to the destination place is called Total distance.
Total journey of Jessica = 3.31 + 1
=4.31 kilometer
So total journey travel by Jessica is 4.31 kilometer.
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Could i get any help here?
Answer:
You will need to figure out how much it is going up by
Step-by-step explanation:
What is the solution to the equation represented by the model below?
II
X=-14
X-2
X-2
X=14
Answer:
X=14
Step-by-step explanation:
help will give 10 points
Answer: 14..................................................
Answer:
The slope is 14 because it has an x and it is formated like this y=mx+b
Hope this help :)
Step-by-step explanation: