PLEASE HELPP Find quadratic equation with integral coefficients that has the given roots pleasee
Answers
9514 1404 393
Answer:
y = x² -8x +13
Step-by-step explanation:
Put the roots in the intercept form and multiply it out. For roots p and q, the quadratic is ...
y = (x -p)·(x -q)
y = (x -(4+√3)) · (x -(4 -√3))
y = ((x -4) -√3) · ((x -4) +√3) = (x -4)² -(√3)² . . . . use the special product form
y = x² -8x +16 -3 . . . . use the other special product form
y = x² -8x +13
_____
Comment on the special product
There are a couple of quadratic special products that are useful to remember:
the difference of squares: (a -b)(a +b) = a² -b²
the square of a sum: (a + b)² = a² +2ab +b²
When working with quadratics that have complex or radical conjugate roots, the difference of squares form comes in handy sometimes.
Math can be a lot easier if you learn to recognize and use patterns.
Related Questions
Find the LCM of the set of numbers 5 10 15 DUE TODAY
Answers
Hello.
The LCM is the smallest number that they all have in common when adding it by itself.
The multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50...
The multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100...
The multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150...
The Least Common Multiple is 30.
The answer is C. 30
At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 98 miles per hour (mph) and the standard deviation of the serve speeds was 13 mph. If nothing is known about the shape of the distribution, give an interval that will contain the speeds of at least three-fourths of the player's serves.
a. 124 mph to 150 mph.
b. 85 mph to 111 mph.
c. 59 mph to 137 mph.
d. 72 mph to 124 mph.
Answers
Answer:
d. 72 mph to 124 mph.
Step-by-step explanation:
We solve for this question using the Chebyshev's inequality(x-μ)/σ
For k > 1, 1 - 1/k²
P(x-μ) ≤ kσ≥ 1 - 1/k²
For k = 2
Mean(μ) = 98mph
Standard deviation(σ) = 13mph
P(x-μ) ≤ 2 × 13 mph≥ 1 -1/2²
P(x-μ) ≤ 2 × 13 mph≥ 1 -1/4
P(x-μ) ≤ 26 mph≥ 3/4
According to Chebyshev's theorem,at least 3/4 of the data is 1 standard deviation from the mean
= μ ± σ :μ - σ, μ + σ
The interval is given as: μ - σ, μ + σ
98mph - 26 mph = 72 mph
98 mph + 26 mph = 124 mph
Therefore, the interval = 72mph to 124mph
Option D is correct
Ralph wants to show 13/20
Answers
Answer:
why won't Ralph show 13/20 then?
how do you write a real world scenario using equations
Answers
Answer:
You will need an unknown value at first. Let that value be X.
Step-by-step explanation:
So let's say that Sandra earns 5 dollars per hour and already has 30 dollars. Now lets use this form
y-mx+b(Easy way to write one)
y=5x+30
X Is Number of hours while y is the money gained
please helpppp I will give you a brainleist !!!!!!
Answers
Answer:
Hope this helps
Step-by-step explanation:
4. 10^2
5. 64 / 14 * 9 + 8
64/126+8
8 64/126
8 4/9
6. 1.762 x 10^3
Answer:
I am confused with #5 but the rest are solid and checked
Step-by-step explanation:
#4 (A)
10*10=100
#5 (97)
64+4*4+3*3+2*2*2=
64+16+9+8=97
#6 (1.762 × 103)
#7 1070
Brian spends
1
4
of his wages on rent and
1
3
on food. If he makes £480 per week, how much money does he have left?
Answers
Answer:
£165
Hope I helped
Answer:
$200
Step-by-step explanation:
A regular piece of ice has a temperature of 32ºF. A piece of dry ice has a temperature of -109ºF. Which is the true statement?
The regular ice is colder than the dry ice.
The difference in temperature is less than 100ºF.
The dry ice is colder than the regular ice.
The dry ice has a greater temperature
Answers
Answer:
C
Step-by-step explanation:
The Dry Ice Is Colder Then the Regular Ice. By 77°F.
Hope This Helps! Pls Rate Brainiest!
-Aslina
Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. Complete the table to show the distance traveled in 1 minute at this speed
Answers
Answer:
4 miles in 1 min
Step-by-step explanation:
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where , , , and . Do the results make sense? (a) The mean phenotype code is 2.6. (Round to the nearest tenth as needed.) (b) The median phenotype code is 2.5. (Type an integer or a decimal.) (c) Select the correct choice below and fill in any answer boxes within your choice. A. The mode phenotype code is 4. (Use a comma to separate answers as needed.) B. There is no mode. (d) The midrange of the phenotype codes is 2.5. (Type an integer or a decimal.) Do the measures of center make sense? A. Only the mean, median, and midrange make sense since the data is nominal. B. Only the mode makes sense since the data is nominal. C. Only the mean, median, and mode make sense since the data is numerical. D. All the measures of center make sense since the data is numerical.
Answers
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the (a) mean. (b) median. (c) mode, and (d) midrange for the given sample data. An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1 = smooth-yellow, 2 = smooth-green, 3 = wrinkled-yellow, and 4= wrinkled-green. Do the results make sense?
Given the phenotype code as 4, 3, 3, 1, 3, 4, 1, 1, 1, 4, 2, 3, 1, 1
a) Mean is the average of the number. It is gotten by taking of the ratio of the variables to the sample size.
Sum of variables = 4+3+3+1+3+4+1+1+1+4+2+3+1+1
Sum of variables = 32
Sample size = 14
Mean = 32/14
Mean = 2.29
The mean phenotype is 2.29
B) median is the value at the middle after rearrangement either in ascendng or descending order.
On rearranging:
1,1,1,1,1,1),2,3,(3,3,3,4,4,4
It can be seen that there are two values at the middle. To get the actual median, we will take the median of the values.
Median = 2+3/2
Median = 5/2
Median = 2.5
Hecke the median phenotype is 2.5
c) The mode is the vale that is occurring the most in the data. It can be seen from the data that 1 is the only value occurring the most (6 times), hence the phenotype mode of the data is 1.
d) Midrange = Highest value + Lowest value/2
Midrange = 1+4/2
Midrange = 5/2
Mid range = 2.5
Hence the midrange of the phenotypic code is 2.5
e) Yes, the measures of center make sense since the data is numerical. Since all our values are numerical and measurable, hence we can conclude that the measure of centres make sense
Shelly found that the coefficient of determination between the age of a runner x and the runner’s finishing position y was about 0.728. What can she conclude?
72.8% of the variation in the runner’s finishing position is explained by the runner’s age.
0.728% of the variation in the runner’s finishing position is explained by the runner’s age.
53% of the variation in the runner’s finishing position is explained by the runner’s age.
0.728 more variation in the runner’s finishing position is caused by the runner’s age.
Answers
Answer:
72.8% of the variation in and the runner’s finishing position is explained by the runner’s ageStep-by-step explanation:
The number 0.728 is converted to percentage
0.728*100% = 72.8%Correct option is the first one
Answer:
72.8% of the variations in the runner's finihsing position is explained by the runner's age
explanation:
So each pattern will contain odd numbers?
Answers
diver starts out at 339 feet below the surface. She then swims upward 207 feet. Use a signed number to
epresent the diver's current depth
Answers
Answer:
-132
Step-by-step explanation:
help me please somebody
Answers
Answer:
I am pretty sure that it would be a A whole number
Order from least to greatest
I’m just rlly dumb and rlly tried srry:/
Answers
Answer:
The answer is D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
yawn
Chloe's car used 4 gallons to travel 72 miles. How many gallons of gas would she need to travel 270 miles?
Answers
Answer:
15 gallon of gas
Step-by-step explanation:
It is given that,
Chloe's car used 4 gallons to travel 72 miles.
We need to find number of allons of gas that would she need to travel 270 miles.
We firstly find gas required to travel 1 mile.
[tex]1\ \text{mile}=\dfrac{4}{72}\ \text{gallon}[/tex]
For 270 miles,
[tex]270\ \text{mile}=\dfrac{4}{72}\times 270\ \text{gallon}\\\\=15\ \text{gallon of gas}[/tex]
Hence, 15 gallon of gas is needed.
Answer:
18
Step-by-step explanation:
the first two common multiples of 3, 4, and 6
Answers
Answer:
Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36.
Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36
Multiples of 6 6, 12, 18 , 24 , 30, 36 , 42 , 48, 54, 60
but the first two common multiples of 3, 4, and 6 are
3: 6, 9
4 : 8,12
6 : 12, 18
find the value 3x^2+2x+5, if x=-7
Answers
...................
Answer:
432
Step-by-step explanation:
Original Equation:
3x^2 + 2x + 5
x = -7
3 multiplied by -7 = -21
Equation:
-21^2 + 2x + 5
-21 multiplied to the second power is 441
(two negatives cancel each other out making the number positive)
Equation:
441 + 2x + 5
2 multiplied by -7 is -14
441 + -14 + 5
441 + -14 = 427
427 + 5 = 432
Answer: 432
Hope I helped :)
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An auto parts manufacturer throws out gaskets with weights that are not within 0.06 pound of the mean weight of the batch. The weights (in pounds) of the gaskets in a batch are 0.58, 0.63, 0.65, 0.53, and 0.61. Which gasket(s) should be thrown out?
Answers
Answer:
0.53 will not chosen
Step-by-step explanation:
Given weights:
0.58, 0.63, 0.65, 0.53, and 0.61.
Computation:
Mean weight X = [0.58+0.63+0.65+0.53+0.61] / 5
Mean weight X = [3] / 5
Mean weight X = 0.60
Acceptable weight = l x-X l < 0.06
l x-0.60 l < 0.06
So solving inequality
0.54 < x < 0.66
So, 0.53 will not chosen.
I need help with these questions
Answers
Answer:
29. D
30. A
31. 15
32. -34
33. -241
34. -36
Step-by-step explanation:
30. A
31. 15
32. -34
33. -241
34. -36
crystal has played the piano for 15 years. jared has played for 3 years. how many times longer has crystal played the paino?
Answers
Answer:
5
Step-by-step explanation:
What is the solution to 5(2x−2)=30? Enter your answer in the box.
Answers
Answer:
x=4
Step-by-step explanation:
5(2x-2)=30
10x - 10 = 30
10x = 40
x = 4
Which of the following is the set of odd whole numbers between 0 and 10? A. Y={0,1,2,3,4,6,7,8,9,} B. Z={0,2,4,6,8,9} C. A={1,3,5,7,9} D. B={1,3,5,7}
Answers
Answer:
C. A=[1,3,5,7,9] thats the answer
What’s the y-intercept of this graph
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Finding the slope:
So first it'll help to find the slope. You could do that by finding two perfect points, which in my case I chose (3,4) and (4,2). Then you tell what the rise over run is....you go down 2 and right 1 to get from (3,4) to (4,2). So the slope would be -2, since we went down it'll become a negative.
Finding the y-intercept:
Then after we found the slope we could easily make an equation and solve it for the y-intercept, but first we'll need to get a point. Let's choose (4,2). So after you got your point you will plug it into the slope formula like this....
[tex]y=mx+b\\\\\\2=-2(4)+b[/tex]
Then we solve it to get....
[tex]2=-2(4)+b\\2=-8+b\\b=10[/tex]
So the y-intercept is 10.
Find the midpoint of AB if a (-1,7) and B (11,-1)
Answers
Answer:
(5, 3)Step-by-step explanation:
Given Points A(-1,7) and B (11,-1)To findMidpoint of ABSolutionUsing midpoint formula
x = (-1 + 11)/2 = 10/2 = 5y = (7 -1)/2 = 6/2 = 3Midpoint is (5, 3)
Answer:
mid point = 5, 3Step-by-step explanation:
A(-1, 7) B(11, 1)
use the midpoint formula:
mid point = (x₁ + x₂) , (y₁ + y₂)
2 2
= (-1 + 11) , (7 - 1)
2 2
mid point = 5, 3
The product of 3 and the difference of a
number n and 4 is eighteen
Answers
Answer:
n = 10
Step-by-step explanation:
Step 1: Translate word to math
"product" = multiplication
"3" = 3
"difference" = subtraction
"a number n" = n
"4" = 4
"is" means equal
"eighteen" = 18
Step 2: Combine/set up equation
3(n - 4) = 18
Step 3: Solve for n
Distribute 3: 3n - 12 = 18Add 12 to both sides: 3n = 30Divide by 3 on both sides: n = 10Answer:
Equation: 3(n - 4) = 18Solved: n = 10Step-by-step explanation:
To solve:
Apply the distributed property: 3n - 12 = 18Add 12 to each side, so it now looks like this: 3n = 30Divide each side by 3 to cancel out the 3 next to n. It should now look like this: n = 10I hope this helps!
Dos automóviles son puestos a prueba uno es de color rojo y recorre 9 vueltas y otro es de color azul que recorre 3139°, ambos a una velocidad constante de 240 km/h.
Answers
Answer:
what in the world
Step-by-step explanation:
A brother and sister share out their collection of 5000 stamps in the
ratio 5:3. The brother then shares his stamps with two friends in
the ratio 3:1:1, keeping most for himself. How many stamps do
each of his friends receive?
13
Answers
Answer:
1875
Step-by-step explanation:
After sharing in the ratio 5:3, the brother has
5000/(5+3) x 5 = 3125
Next, he shares with his friend in the ratio 3:1:1, thus
3125/(3+1+1) x 3 = 1875
X+Y+3=0 en grafica
Answers
Answer:
x=-y-3
Step-by-step explanation:
hope to get a brainliest thank u
She spended $7.50 on each book- If the camp leader has 12 campers how much does she spend on the books
Answers
Answer:
$7.50 multiplied by 12 = $90.00
Step-by-step explanation:
Answer:
$90 (assuming 1 book per camper)
Step-by-step explanation:
We are not told the number of books per camper.
If each camper gets 1 book, then since there are 12 campers, then there are 12 books.
12 * $7.50 = $90
(BTW, the word "spended" does not exist. The correct word is "spent.")
PLEASE HELP!! Are triangles A,B,C and D acute obtuse or right angles?
Answers
Answer:
right angle
Step-by-step explanation:
it has a 90 degree angle so its a right angle