Answer:
Congratulations Chrysler!
Step-by-step explanation:
For an equation of the form ax^2 + bx+ c = 0, where the graph crosses the y-axis once and does not intersect the x-axis. Describe the solution(s) of the equation.
(picture)
Answer:a
Step-by-step explanation:
The solution to the equation ax² + bx + c = 0 , has a graph that crosses the y-axis once and does not intersect the x-axis, then the equation has one real root and two complex conjugate roots that lie on either side of the axis of symmetry.
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. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
If the graph of the equation ax² + bx + c = 0 crosses the y-axis once, it means that the equation has one real root. This is because when x = 0, the equation becomes:
c = 0² + 0 + c = c
Therefore, the point (0, c) is on the y-axis, which means the graph crosses the y-axis once.
If the graph does not intersect the x-axis, it means that the discriminant b² - 4ac is negative. This is because the discriminant determines the nature of the roots of a quadratic equation, and when it is negative, the roots are complex (not real) and the graph does not intersect the x-axis.
So, the solution(s) of the equation ax² + bx + c = 0 are:
x = (-b ± √(b² - 4ac)) / 2a
Since the discriminant is negative, the term inside the square root is negative, and there are no real solutions for x. Instead, the solutions are complex conjugates of the form:
x = (-b ± i√(4ac - b²)) / 2a
where i is the imaginary unit. Since the real part of these solutions is -b/2a, which is the axis of symmetry of the parabola, and the parabola does not intersect the x-axis, the complex roots will be a conjugate pair that lie on either side of the axis of symmetry.
Hence , the quadratic equation is solved
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the weights of ten cats in pounds are 14, 10, 11, 9, 12, 8, 8, 10, 7, and 10. what is the mean absolute deviation of the weights of the cats?
Answer:
HOW TO DO STEP BY STEP:)
Original set ={14, 10, 11, 9, 12, 8, 8, 10, 7,10}
n = 8 is the number of values in that set above
Add up the values 12+11+7+10+10+11+6+8+14+8 = 97
Divide that sum by n = 8 to get 97/8 = 12. So the mean = 12
For each value in the original set {14, 10, 11, 9, 12, 8, 8, 10, 7,10} subtract off the mean = 12. Apply the absolute value to ensure the result is positive or zero
|x - mean| = |14 - 12| = -2
|x - mean| = |10 - 12| = 2
|x - mean| = |11- 12| = 1
|x - mean| = |9 - 12| = 3
|x - mean| = |12 - 12| =0
|x - mean| = |8 - 12| = 4
|x - mean| = |8 - 12| = 4
|x - mean| = |10 - 12| =2
|x - mean| = |7 - 12| = 5
|x - mean| = |10 - 12| = 2
The set of results we get are: {-2,2,1,3,4,4,2,5,2 } -2,2,1,3,4,4,2,5,= 21, then we divide 21 that over n = 12 (21/12) to get = 1.75
Therefore the mean absolute deviation (MAD) is 1.75
Answer:
So lol im sorry i kinds just calculated it up on the calculator wont be able to provide an explanation but it gave me 1.72 as the Mean Absolute Deviation so the answer would be 1.72 pounds
Hope this helps!
Briana will use a ⅕ gallon pitcher to fill an empty 8/10 gallon jug for her lemonade stand. How much lemonade will she need in order to completely fill the jug?
Answer:
Between 2 and 3 full pitches
24 POINTS An army surplus store plans on making a tent with the dimensions shown. How much material is needed to make this tent? pls give a decent, correct answer!
10,400 square inches
13,400 square inches
15,200 square inches
14,500 square inches
Earn points, answer both questions!
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
A number plus 16 times its reciprocal equals 4. Find all possible values for the number.
All the possible values for the number are \(x=2+2i\sqrt{3}\) and \(x=2-2i\sqrt{3}\).
Given that, a number plus 16 times its reciprocal equals 4.
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Let the unknown number be x.
Now, the equation is \(x+\frac{16}{x}=4\)
\(\frac{x^2+6}{x}=4\)
\(x^2+16=4x\)
\(x^2-4x+16=0\)
By comparing \(x^2-4x+16=0\) with \(ax^2+bx+c=0\), we get a=1, b=-4 and c=16.
Substitute these values in quadratic formula \(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\), we get
\(x=\frac{4\pm\sqrt{(-4)^2-4\times1\times16} }{2\times1}\)
\(x=\frac{4\pm\sqrt{-48} }{2}\)
\(x=\frac{4\pm4i\sqrt{3} }{2}\)
\(x=2+2i\sqrt{3}\) and \(x=2-2i\sqrt{3}\)
Therefore, all the possible values for the number are \(x=2+2i\sqrt{3}\) and \(x=2-2i\sqrt{3}\).
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Help anyone?????? <3
Answer:
B
Step-by-step explanation:
2x+x+3=7x-4x+3
3x+3=3x+3
Infinitely many solutions
Awnser:A
Step-by-step explanation: every problem has a solution and it does not have infinitely answers to it.
Jared has a wooden board 11 ft long. He wants to cut it into two pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece.
How long will each piece of board be?
Answer: is 8ft
Step-by-step explanation:
A submarine is searching for underwater features. It is accompanied by a small aircraft and an underwater robotic vehicle.
At one time the aircraft is 200 m above the surface, the submarine is 55 m below the surface, and the underwater robotic vehicle is 227 m below the surface.
What is the difference in height between the submarine and the aircraft?
What is the distance between the underwater robotic vehicle and the submarine?
Answer:
255m and 222m respectively
Step-by-step explanation:
sol:
given,
aircraft 200m
surface 0m
submarine -55m
underwater robotic vehicle -227m
•°•difference between submarine and the aircraft=255m
•°•difference between robotic vehicle and the submarine=222m
Answer:
282
Step-by-step explanation:
PLEASE HELP! SO CONFUSED…it would mean a lot for a detailed explanation.
Answer:
Step-by-step explanation:
Jordan will hike the trail shown at a rate of mi/h. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?
A grocery store recently sold a bag of peanuts for $0.76 and a bag of Pikachu's for $3.68 at the end of the day 50 bags of peanuts and Pikachu's were sold for a total of 128 point 52 how many bags of each were sold
Answer:
31 Pikachu bags were sold.
19 peanut bags were sold.
Step-by-step explanation:
Let's set up an equation of the total revenue of the day, where x is the number of Pikachu's sold.
We know that the number of Peanuts sold is 50-x (as the total needs to be 50)
We know that the total revenue is:
Number of Pikachus * Cost per Pikachus + Number of Peanuts * Cost per Peanuts
Using our definitions above:
Total Revenue = x * $3.68 + (50-x) * $0.76
We know that the revenue needs to be $128.52.
$128.52 = x * $3.68 + (50-x) * $0.76
Let's remove the $ signs.
128.52 = x * 3.68 + (50-x) * 0.76
Multiplying both 50 and -x with 0.76, "expanding" the parenthesis.
128.52 = x*3.68 + 50*0.76 - x*0.76
128.52 = x*3.68 + 38 - 0.76*x
Subtracting 38 from both sides
90.52 = 3.68*x - 0.76*x
We can simplify the right side.
90.52 = 2.92*x
We can divide both sides by 2.92:
31 = x
And flip it:
x = 31
So 31 Pikachus were sold (remember we claled that x), and as we know, the number of peanut bags sold is
50-x = 50-31 = 19
31 Pikachu bags were sold.
19 peanut bags were sold.
\( \LARGE{ \boxed{ \rm{ \pink{Solution:}}}}\)
Let the number of peanut bags be x
Then, Number of pikachu bags = 50 - x
Given,
Cost of each peanut bag = $0.76Cost of each pikachu bag = $3.68Then,
⇛ Total cost he gets from peanut bag = $0.76 × x
⇛ Total cost he gets from pikachu bag = $3.68(50 - x)
According to question,
⇛ $0.76x+ $3.68(50 - x) = $128.52
Solving this equation,
⇛ 0.76x + 184 - 3.68x = 128.52 (Removed $ symbol)
⇛ 184 - 2.92x = 128.52
⇛ 184 - 128.52 = 2.92x
⇛ 55.48 = 2.92x
Flipping the equation,
⇛ 2.92x = 55.48
⇛ x = 55.48 / 2.92
⇛ x = 19
Then,
⇛ 50 - x = 50 - 19 = 31
\( \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: peanut \: bags = 19}}}}}\)
\( \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: pikachu \: bags = 31}}}}}\)
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heeeeeeeelpe me meeeeeeeeeeeeeeee
Answer:
35
Step-by-step explanation:
The formula to find the geometric mean (x) of two numbers (a and b) is:
\(x=\sqrt{ab}\)
Let's sub in our numbers, 175 and 7, as a and b:
\(x=\sqrt{(175)(7)}=\sqrt{1225}=35\)
Answer:
It's the 3rd one; 35
Which is an equivalent expression for (32 • 54)3?
32 • 512
35 • 57
36 • 512
1518
someone please help me ASAP
Answer:
Step-by-step explanation
In this problem, the question asks us for 3 parts
a) the predicted hourly pay rate for a cashier who doesn't have any experience.
In this problem, the scatterplot was reduced into a linear function modeled by the equation y=0.94x+7.86 where y is the pay in $ per hour and x is years of experience indicating pay is dependent on the independent factor of years of experience. 0 years when plugged into the equation yields this through substitution. 0.94(0)+7.86=7.86$ which is the y-intercept
b)this is simply substitution as one can plug in 7 as x 0.94(7)+7.86=14.44$ or appx. 14$
c) for this problem it asks us the predicted difference in the hourly pay rate however the equation y=0.94x+7.86 tells us for every x year pay goes up an average of 0.94$, therefore, the increase is 0.94$.
Overall, this problem challenges the student's understanding of linear equations and the meaning of x and y in relation to one another in a graph.
Need help with this question please:
Answer:
If the data is collected in a biased manner, or the number of observations is too small, the graph could be skewed. To ensure the data is not skewed, collect a large representative unbiased sample. Hope this helps
Step-by-step explanation:
evaluate the expression when m=5. m^2-16
you have to write a discussion on this can someone help
Help please! Question below.
Vicente and Carla each ran 8 laps around a track. They started at the same time and place. If Vicente ran 1.5 times as fast as Carla, how many laps did Carla have left to finish when Vicente finished his 8th lap?
Answer:
4
Step-by-step explanation:
She is going half the speed as him, so she will have four laps left.
The distance left in 8 laps for Carla when Vicente has already finished his 8th lap is 2 2/3 laps.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance Covered / Time taken
Let the distance of a single lap be x units. Also, the time it takes for Carla to complete a single round is represented by y.
Speed of Carla = x/t
Speed of Vicente = 1.5(x/t)
Now, the time it will take Vincente to complete the 8 laps is,
Time = 8x / [1.5(x/t)]
Time = 8tx / 1.5x
Time = 16t/3
Distance covered by Carla by the time Vincente completed 8 laps,
Distance = Speed × Time
= (x/t) × (16t/3)
= 16x / 3
Now, the distance left in 8 laps is,
Distance left in 8 laps = Total distance - Distance covered
= 8x - (16x/3)
= (24x - 16x)/3
= 8x / 3
= 2 2/3 x
= 2 2/3 laps
Hence, the distance left in 8 laps for Carla when Vicente has already finished his 8th lap is 2 2/3 laps.
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Given that ∠STV = 108° and ∠RST = 50°, determine the missing angles:
a. Find ∠RTU
b. Find ∠STR
c. Find ∠SRT + ∠TUV
Please help, I would appreciate it. I will reward anyone who gives the correct answer with 50 points!
Please do 4 - 7!!! tysm!
Answer:
-3
Step-by-step explanation:
So basically, 7 is bigger than 4, but 4 is at the beginning. When the beginning number is smaller than the number you are going to subtract it by, then your answer will be negative. To figure this out, you will subtract the 7 by the 4 and add a negative sign to show that it is negative.
Answer:
4. 23/30
5. 3/7
6. 8/15
7. 2
Step-by-step explanation:
The measure of ∠4 is 25 degrees greater than one-fourth of the measure of ∠1. Find the measure of each of the four angles formed by the intersecting lines.
Answer:
1^ = 155°
^2 = 25°
^3 = 155°
Step-by-step explanation:
^1 + ^4 = 180° { sum of angles in straight line are equal to 180°}
^1+^2 = 180°{sum of angles in straight line are equal to 180°}
^3+^4=180°{sum of angles in straight line are equal to 180°}
"A medicine is effective for 80% of patients. The table shows 30 randomly generated numbers from 0 to 999. Use the table to estimate the probability of the event.
Answer:
1/2 and 1/10
Step-by-step explanation:
The graph below represents a map where each unit is 1 mile.
How many miles is the most direct path from Jim's house to the mall?
A. 12 miles
B. 9 miles
C. 15 miles
D. 21 miles
I am to believe that the answer is 21
Dose the y HAVE to be on the left side of the equation when doing slope intercept form (y = mx+b)
smb help me
which 3 sides lengths BEST describes the triangle in the diagram
Answer:
C: 5cm, 12cm, and 13 cm :)
Step-by-step explanation:
1. Look at the lines in the grid below.
Which line represents a proportional relationship?
A line A
B. line B
C. line C
D line D
Answer:
Line B
Step-by-step explanation:
In order for a line to be proportional on a graph, it needs to go through the origin
Pls help me in math, I need this tomorrow, thx :)
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
Two sets of data, set X and set Y are given
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
Therefore, both the data sets has same range and mean.
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
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Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
We know
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
also
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
can someone help me please
Help please!!!!!!! and thank you
Answer:
2.50000 or 2.5 or 2 1/2
Step-by-step explanation:
You have the number 250,000. you have to get the decimal between 1.00 and 10.00 to do this we are going to move the decimal over left one at a time.
25,000.0
2,500.00
250.000
25.0000 25 is really close but not between 1 and 10 so were going to move the decimal one more time
2.50000
2.50000 is between 1 and 10 so its the anwser we are looking for.
Answer:
2,500
Step-by-step explanation:
brainliest me pls