Answers
Hope this helps
Related Questions
Solve x2 + 8x − 3 = 0 using the completing-the-square method
Answers
Identify the vertical asymptotes of f(x) = quantity x plus 6 over quantity x squared minus 9x plus 18.
Answers
[tex]f(x)= \frac{x+6}{x^2-9x+18} [/tex]
The vertical asymptotes will be at the value of [tex]x[/tex] when the denominator is zero
[tex]x^2-9x+18=0[/tex] ⇒ factorising
[tex](x-3)(x-6)=0[/tex]
[tex]x=3[/tex] and [tex]x=6[/tex]
The value of [tex]x[/tex] must not be at 3 and 6 because we cannot have the domain of the denominator equal to zero (fraction with zero denominators is undefined)
Hence, vertical asymptote is at [tex]x=3[/tex] and [tex]x=6[/tex]
A ferris wheel is drawn on a coordinate plane so that the first car is located at the point (0,40). What are the coordinates of the first car after a rotation of 270 degrees° counterclockwise about the origin?
Answers
After a 270-degree counterclockwise rotation, the first car on the ferris wheel originally located at (0, 40) will be at (40, 0).
Explanation:If the first car of a ferris wheel is located at the point (0, 40) on a coordinate plane and undergoes a rotation of 270 degrees counterclockwise about the origin, the new coordinates of the first car can be determined by applying a rotation transformation. To perform a 270-degree counterclockwise rotation, we rotate the point 90 degrees clockwise. This equivalent action simplifies the calculation, as rotating (0, 40) 90 degrees clockwise results in the point moving to (40, 0). Therefore, after a 270-degree counterclockwise rotation (which is equivalent to a 90-degree clockwise rotation), the new coordinates of the first car on the ferris wheel are (40, 0).
It costs a flat fee of $3.15 to make an international call plus $0.05 for every minute that you talk. if you were charged $5.10 for making an international call, for how many minutes did you talk?
Answers
0.05x = 1.95 (subtraction)
x = 39 (division)
39 minutes
Determine the equation of the graph, and select the correct answer below.
Courtesy of Texas Instruments
y = (x + 4)^2 + 1
y = (x + 4)^2 − 1
y = (x − 4)^2 + 1
y = (x − 4)^2 − 1
Answers
Equation is ..
Y = (x -h)^2 + k
Put in vertex (-4,-1) gives the equation
Y = (x+4)^2 - 1
The equations provided represent parabolas that have been translated or reflected from the standard form y = x^2. Without a given graph or additional details, we can't definitively determine which equation is correct.
Explanation:Without a graph or specific details regarding the shape, position, and characteristics of the graph, we can't definitively choose one of the given equations. However, each equation represents a parabolic function that is translated and/or reflected from the standard form, y = x².
The equation y = (x + 4)² + 1 represents a parabola that is shifted 4 units to the left and 1 unit up from the origin.
The equation y = (x + 4)² − 1 is a parabola that is shifted 4 units to the left and 1 unit down.
For the equation y = (x − 4)² + 1, the parabola is shifted 4 units to the right and 1 unit up.
And lastly, the equation y = (x − 4)² − 1 describes a parabola that is shifted 4 units to the right and 1 unit down.
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My last question someone help
Answers
This is an central angle, so the angle is the same as the arc
angle is 60
IF this goes all the way to the opposite side, then you will have to divide by 1/2
hope this helps
Kim's class voted on a location for a field trip. • 5/12 of the class voted for the museum. • 5/24 of the class voted for the zoo. The rest of the class voted for the nature park. What fraction of the class voted for the nature park? The nature park received of the class votes.
Answers
Final answer:
By adding the fractions of votes for the museum (5/12) and zoo (5/24), converting them to a common denominator, and subtracting from the whole, we find that 3/8 of the class voted for the nature park.
Explanation:
To determine what fraction of the class voted for the nature park, we first need to add up the fractions of the class that voted for the museum and the zoo, and then subtract that sum from the whole class, which is represented as 1 (or 12/12). Since 5/12 of the class voted for the museum and 5/24 of the class voted for the zoo, we need to find a common denominator to add these fractions together. The lowest common denominator for 12 and 24 is 24.
First, we convert 5/12 to a fraction with a denominator of 24, which would be 10/24 (since 5 × 2 = 10 and 12 × 2 = 24). Now we can add the two fractions:
10/24 (votes for the museum)
5/24 (votes for the zoo)
Therefore, 10/24 + 5/24 = 15/24. After that, we subtract the sum from the whole to find out what fraction voted for the nature park:
12/12 - 15/24 = 24/24 - 15/24 = 9/24.
Hence, 9/24 of the class voted for the nature park. However, we can simplify 9/24 by dividing the numerator and the denominator by their greatest common divisor, which is 3, giving us 3/8.
Therefore, 3/8 of the class voted for the nature park.
A rancher needs to enclose two adjacent rectangularâ corrals, one for cattle and one for sheep. if the river forms one side of the corrals and 180 yd of fencing isâ available, find the largest total area that can be enclosed.
Answers
Let L = Length parallel to the river,
Here, L + 3B = 180 yd
So, L = 180 - 3B
We know that the area of the rectangle,
A = L × B
= (180 - 3B) × B
= 180 B - 3[tex] B^{2} [/tex]
We know that quadratic equation has symmetry,
So, For maximum area Breadth B = [tex] \frac{-2a}{b} [/tex]
Here, a = -3 & b 180
So, B = [tex] \frac{-180}{2(-3)} [/tex]
= 30 yd
So, L = 180 - 3B
= 180 - 3(30)
= 180 - 90
= 90
So, Maximum Area = L × B
= 90 × 30
= 2700 square yards
Therefore, the correct answer is 2700 square yards.
x = the width of each rectangular area.
y = the length of each rectangular area.
The amount of fencing available is 180 yards, therefore
4x + 2y = 180
or
2x + y = 90
y = 90 - 2x (1)
The total enclosed area is
A = 2xy
= 2x(90 - 2x)
A = 180x - 4x² (2)
In order to maximize A,
A'(x) = 180 - 8x = 0
x = 180/8 = 22.5 yd
y = 90 - 2x = 45.0 yd
To verify that A will be maximum, A''(x) should be negative.
A'' = -8 (verified).
The maximum area is
Amax = 2*22.5*45.0 = 2025.0 yd²
Answer: 2025 yd²
Identify which type of correlation the given scatterplot possesses, if a correlation exists.
A.
no correlation
B.
positive correlation
C.
negative correlation
D.
correlation is impossible to determine
Answers
Answer:
B. Positive correlation
Step-by-step explanation:
Positive correlation is nothing but when the values of x increase, the corresponding y values are also increase.
When we look at the scatter plot, when x increase, the y also increase.
Therefore, it is a positive correlation.
Hope this will helpful.
Thank you.
members of the wide waters club pay 105 dollars per summer season, plus 9.50 each time they rent a boat. Nonmembers must pay 14.75 each time they rent a boat. How many times would a member and a non-member have to rent a boat in order to pay the same amount?
Answers
x = number of times they rent a boat.
Members
Cost = 105 + 9.50x
Non members because members don't have to pay the 105 we leave it out.
Cost = 14.75x
so now to determin when cost would be equal we set the two equations = to each other
105 + 9.50x = 14.75x
now solve for x
105 = 5.25x
20 = x
so they would have to rent 20 times to equal each other.
How do I solve this literal equation
Answers
au=k
2. Now divide both sides by u
a=k/u
Which graph represents the solution of 3x + 2y ≥ 4 and x + 3y ≤ 2?
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The graph that represents the solution of linear inequalities 3x + 2y >= 4 and x + 3y <= 2 is attached below. The shaded region represents the solution of the inequalities.
What is meant by graphing a linear inequality?
To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality. If given a strict inequality, use a dashed line for the boundary. If given an inclusive inequality, use a solid line. Next, choose a test point not on the boundary. If the test point solves the inequality, then shade the region that contains it; otherwise, shade the opposite side.
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darius spends 35% of his time doing math homework. alex spends 2/5 of his time doing math homework. who spends more homework time on math? explain
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Alex spends 2/5 = 4/10 = 40%
Therefore, Alex spends more time doing homework than Darius.
Your total bill at a restaurant is $24.89 you were very pleased with your service so you decide to leave a 20% tip what is the amount of the tip you will leave your waiter
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20% of 24.89....turn ur percent to a decimal..." of " means multiply
0.20(24.89) = 4.978 rounds to 4.98 <===
The amount of tip I would leave for the waiter is $24.89
A tip is a form of payment that is given to someone who renders a service. The amount of tip that was given is a percentage of the total bill at the restaurant.
The value of the tip can be determined by multiplying the percentage of tip by the total bill at the restaurant
Value of the tip = percentage tip x total bill at the restaurant
20% x $24.89
0.2 x $24.89 = $4.98
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A car travels 308 miles in 5 hours and 30 minutes. how many miles does it travel per hour?
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When multiplying integers, if there is an odd number of negative factors, then the product is?
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negative x positive = negative
Answer:
The product of an odd number of negative factors is negative.
Step-by-step explanation:
The factor -1 can be factored from any negative number. Then the product of some number of negative numbers is the product of that number of positive numbers and -1 raised to that power.
An even power of -1 is 1.
An odd power of -1 is -1. So, the product of an odd number of negative factors is negative.
_____
Examples
(-2)(-3)(-4)(5) = (2)(3)(4)(5)(-1)³ = -120 . . . . the product of an odd number of negative factors is negative(-2)(-3)(4)(5) = (2)(3)(4)(5)(-1)² = 120 . . . . . the product of an even number of negative factors is positive_____
Comment on this result
This is helpful to remember when considering the solutions to polynomial inequalities. Once the factored form of the polynomial is found, the solution will depend on the signs of the factors. For example, consider ...
(x +4)(x -2)(x -3) < 0
The zeros of these factors are -4, 2, 3. At each of these values of x, the sign of one of the factors will change. For x<-4, all three factors are negative, so the inequality is true. For -4<x<2, only two of the factors are negative, so the inequality is false. For 2<x<3, one of the factors is negative, so the inequality is again true. For 3<x, all factors are positive, so the inequality is false. Then the solution is (x < -4) ∪ (2 < x < 3).
See the graph for a plot of this polynomial and the solution to the inequality.
A message center receives calls from 6 p.m. until 6 a.m. Typically, 50% of the calls come in between 6 p.m. and 9 p.m.; 25% of the calls come in between 9 p.m. and midnight; 20% of the calls come in between midnight and 3 a.m.; and 5% of the calls come in between 3 a.m. and 6 a.m.
What is the probability that a call will come in between 6 p.m. and midnight?
Question 5 options:
25%
50%
55%
75%
Answers
3 a.m. to 6 a.m. 5%
Midnight to 6 a.m. = 20% + 5% = 25%
Is it possible for 0 and a positive number to have a common multiple?
Answers
In a class of 80 students, 42 received a grade of
a. what fraction of the class did not receive an a? reduce to the lowest terms.
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42 received an A
so 40-42 = 38 did not
the fraction would be 38/80, divide both numbers by 2
38/80 reduces to 19/40 did not receive an A
Out of 80 students, 38 did not receive an A, resulting in the fraction who did not receive an A being 19/40 after simplifying.
Explanation:In a class of 80 students, if 42 received a grade of A, then the number of students who did not receive an A is the total number of students minus the number who did receive an A. So, 80 students − 42 students = 38 students. The fraction of the class that did not receive an A is 38 out of 80, which can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 2.
Therefore, the reduced fraction is 19/40.
The fraction of the class that did not receive an A is 19/40 which, if we converted into a percentage, would be 47.5%.
How many complex roots does the polynomial equation have?
3x5−2x+1=0
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Answer : The given polynomial equation can have 0,2 or 4 complex roots.
Explanation:-
Given polynomial equation is [tex]3x^5-2x+1=0[/tex] which is a polynomial of degree 5.
We know that the complex roots always occur in pair ,therefore the number of complex roots in any polynomial must be an even number but less than equal to the degree of polynomial.
Thus, the given polynomial equation has 4 complex roots.
Answer:
The polynomial equation have 4 complex roots.
Step-by-step explanation:
We are given a polynomial equation as:
[tex]3x^5-2x+1=0[/tex]
clearly the polynomial equation is a equation of degree 5 hence, the polynomial equation has atmost 5 roots.
Now we find the roots of the equation by it's graph.
we could clearly see that the graph ofthe function passes through the point (-1,0). hence -1 is the root of the polynomial equation, other than this point the graph does not touches or pass through the x-axis.
Hence, the other four roots of the polynomial equation are complex.
Hence, the polynomial equation has 4 complex roots.
How do you solve a quadratic formula
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Landon is standing in a hole that is 5.1 ft deep. He throws a rock, and it goes up into the air, out of the hole, and then lands on the ground above. The path of the rock can be modeled by the equation y = -0.005x 2 + 0.41x - 5.1, where x is the horizontal distance of the rock, in feet, from Landon and y is the height, in feet, of the rock above the ground. How far horizontally from Landon will the rock land?
Answers
[tex]0=-0.005x^{2}+0.41x-5.1[/tex]
Divide everything by -0.005 to clear out the decimals:
[tex]0=x^{2}-82x+1020[/tex]
Now use the quadratic formula:
[tex]x=\frac{82 \pm \sqrt{82^2-4*1020}}{2}[/tex]
[tex]x=15.29[/tex] or [tex]x=66.71[/tex]
We want the larger x value since the smaller one is when the rock will reach the top of the hole.
Triangle ABC is located at A (−2, 2), B (−2, 4), and C (0, 0). The triangle is then transformed using the rule (x+3, y− 2) to form the image A'B'C'. What are the new coordinates of A', B', and C'?
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Which equation is a trigonometric identity?
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The real identity that looks similar to them is
sin^2 x + cos^2 x = 1
Options A and D are both incorrect and are not identities.
From options B and C, option B is the correct one.
By definition we have:
sin x = opp/hyp
cos x = adj/hyp
tan x = opp/adj
If you divide sin x by cos x and simplify, you get opp/adj, which is exactly what the tangent is.
The answer is B.
Andrea and sula ran a race on a track that was 100 meters long.When andrea crossed the finish line sula was exactly 5 meters behind her.The next day they ran another race and andrea agreed to start 5 meters behind the starting line.If the girls run the same speed as the day before who will win the race ? When the winner crosses he finish line where will the other girl be?
Answers
On the second day, Andrea will still win by 0.026 seconds and the other girl will be at 99.75 meters on the track.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Andrea and Sula ran a race on a track that was 100 meters long.
Let us assume that Andrea completed the 100m race in 10 secs.
∴ Andrea's speed is (100/10) = 10m/sec.
Also given that Sula was exactly 5 meters behind her.
∴ In 10 secs she completed 95 meters, and her speed is
= (95/10) = 9.5m/sec.
The next day they ran another race and Andrea agreed to start 5 meters behind the starting line and both the girls run at the same speed,
∴ Andrea has to run 105 meters, so she'll complete the race in
(105/10) secs.
= 10.5 secs.
Sula has to run only 100 meters, so the time needed for her to complete is,
= (100/9.5) secs.
= 10.526 seconds.
So, on the next day, Andrea will win again by (10.526 - 10.5) secs
= 0.26 secs.
∴ When the winner crosses the finish line the other girl will be,
(10.5×9.5) meters = 99.75 meters on the track.
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Is △RWS ~ △QWT?
yes
no
Answers
Answer: Yes ΔRWS≈ΔQWT.
Step-by-step explanation:
We know that when two chords intersect each other inside a circle, the products of their segments are equal.
Therefore, [tex]QW\times WS=TW\times RW\\\Rightarrow\frac{QW}{RW}=\frac{TW}{WS}[/tex]
Now in triangle QWT and triangle RWS
∠QWT=∠RWS [Vertically opposite angles]
[tex]\frac{QW}{RW}=\frac{TW}{WS}[/tex]
Therefore, By SAS similarity rule
ΔRWS≈ΔQWT
Therefore, yes ΔRWS≈ΔQWT.
This circle centered at the origin and the Length of its radius is 8. What is the equation of the circle?
Answers
[tex](x - h)^{2} + (y-k)^{2} = r^{2}[/tex]
Where (h, k) is the center of the circle, r is the radius. So, the equation will be:
[tex]x^{2} + y^{2} = 64[/tex]
Hope this helps! The answer is B.
Answer: B
Step-by-step explanation: The equation would be x^2+y^2=64 or 8^2
(Once again I am doing this question because no one answered it last time. thanks)
After taxes, Alexandra's take home pay is 9/10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $486 of take-home pay. let s represent your variable.
Alexandra's salary before taxes for the pay period was $
I need the equation and the answer for the question above this sentence.
Listen I really need help i'm struggling in math okay.
Answers
The equation would be either:
(9/10)s = 486
or
0.9s = 486
To solve, you would divide 486 by 0.9, which gives you $540.
I hope this helps!
Darius and Matthew have 3 fruit bars. They are both hungry after playing football and decide to split the fruit bars evenly.How much fruit bars will reach boy get.
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If you divide three by two you get 1.5, which translates to 1 1/2 fruit bars per boy if they split it evenly. Hope this helps!
Divide.
8.64÷(−0.27)
Enter your answer in the box.
Answers
32 is your answer hope it helped :) welcome