Answers
the quadratic equation have been solved and the required graph is attached below.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
The equation:
[tex]\frac{x^{2}-7x+12 }{x^{2} -1}[/tex]
Its a quadratic equation in both numerator and denominator, by dividing the x² will be get a graph as given in the attached file.
Hence, the quadratic equation will be solved and the required graph is attached below.
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Related Questions
To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
What is the maximum time (in seconds) that she can take on her last lap and still make the team?
Answers
52s is the maximum time that she can take on her last lap and still make the team.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).
The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
We need to find the maximum time (in seconds) that she can take on her last lap and still make the team
Let x be the maximum time (in seconds) that she can take on her last lap
60=(63+62+65+58+x)/5
300=63+62+65+58+x
300=248+x
Subtract 248 on both sides
300-248=x
x=52s
Hence, 52s is the maximum time that she can take on her last lap and still make the team.
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Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the amount of each solution used.
Answers
Answer: 5%
Step-by-step explanation:
Answer:
answer is 10
Step-by-step explanation:
AP TEST QUESTION 1
PLEASE HELP
ILL GIVE BRAINLIST ANSWER
IMAGE ABOVE
Answers
On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
by graphs of the function f (x) and g( x).
[tex]lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5[/tex]
from the graphs n f (x) and g( x) are 1 and 5 .
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Use the long division method to find the result when 4x^3+13x^2+17x+8 is divided by x+1
Answers
Step-by-step explanation:
please refer to the sketch
2 points How Did I Do? The cost of renting a car is $42 /week plus $0.25 /mile traveled during that week. An equation to represent the cost would be y=42+0.25x , where x is the number of miles traveled.
Answers
The equation to represent the cost of renting the car, given the cost per week and the cost per mile, is y = 42 + 0.25x.
How to formulate the equation ?The total cost of renting the car at any given point, would be:
= Cost to rent per week + ( Cost per mile x Number of miles driven)
If we assume the number of miles driven is denoted by x, then the equation becomes :
= 42 + 0. 25 x
If we further take y to be the total cost, the equation then becomes :
y = 42 + 0. 25 x
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Which equation can be used to find B in the triangle below?
Right triangle A B C is shown. Side A B has a length of 6, side B C has a length of 10, and side A C has a length of 8.
Answers
The measure of angle B is 53°.
The equation used to find B is
B = [tex]sin^{-1}[/tex](4/5).
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Right triangle ABC.
AB = 6
BC = 10
AC = 8
In order for the triangle to be a right triangle it must satisfy the Pythagorean theorem.
So,
BC² = AB² + AC²
100 = 6² + 8²
100 = 36 + 64
100 = 100
This means,
B
| \
| \
| \
A_________C
Now,
Sin B = 8/10 = 4/5
B = [tex]sin^{-1}[/tex] (4/5)
B = 53°
Sin C = 6/10 = 3/5
C = [tex]sin^{-1}[/tex] (3/5)
C = 37°
We see that,
∠A + ∠B + ∠C = 180
90 + 53 + 37 = 180
90 + 90 = 180
180 = 180
Thus,
The equation used to find B is
Sin B = AC / BC = 8/10
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Answer:
Tangent B=8/5
Step-by-step explanation:
Just look at the answer
the point (3, 1) is located on a line with slope of 1/3. which point could also be located on the line?
Answers
The point (5,5/3) also lies on the line.
A point (x, y) is located on a line with slope m if and only if it satisfies the equation:
y = mx + b
where b is the y-intercept of the line. In this case, we know that the point (3, 1) is located on the line, so we can use the information to find the value of b and then write the equation of the line in slope-intercept form.
The y-coordinate of the point (3, 1) is 1, so we can substitute this into the equation and solve for b:
1 = (1/3) * 3 + b
This simplifies to:
1 = 1 + b
so, b = 0
So, the equation of the line is
y = 1/3 * x +0
Now we can use this equation to find the coordinates of any point that lies on the line. So any point (x, y) that satisfies this equation could also be located on the line.
For example, we can pick any x, calculate corresponding y.
x=5, y=5/3
So point (5,5/3) also lies on the line.
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Shana wants to buy a music player. She has $100 cash.
Can Shana afford an $89 unit plus HST? Yes or No?
Provide an estimate or a calculation to support your answer=
What is the original price of the most expensive item
Shana can buy for $100?
Answers
To make a batch of salad dressing, combine 11 tablespoons of
oil with 22 tablespoons of vinegar. How many tablespoons of
vinegar are needed for every tablespoon of oil?
Answers
You need 2 tablespoons of vinegar for every 1 tablespoon of oil.
What are a ratio and proportions?
A ratio is a way of comparing two or more values by division. A ratio expresses a relationship between two or more quantities. It is a comparison of one quantity to another. For example, the ratio of 3:2, 3 is being compared to 2.
A proportion is an equation that states that two ratios are equal. It can be written as:
a/b = c/d or a:b = c:d, where a,b,c,d are numerical values.
The ratio of tablespoons of vinegar to tablespoons of oil in the salad dressing is given by the ratio of the number of tablespoons of vinegar to the number of tablespoons of oil.
In this case, the ratio is 22 tablespoons of vinegar to 11 tablespoons of oil, or 22/11.
You can simplify this ratio by dividing both numerator and denominator by their greatest common divisor, that is 11
So the ratio of tablespoons of vinegar to tablespoons of oil is 2:1
Another way to express this is that for every 1 tablespoon of oil, 2 tablespoons of vinegar are needed.
So, If you want to know how many tablespoons of vinegar are needed for every tablespoon of oil you can use the proportion:
vinegar/oil = 22/11 = 2/1
Hence, you need 2 tablespoons of vinegar for every 1 tablespoon of oil.
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823× 3.6 weekly math review homework for fifth grade
Answers
Solve systems by elimination step by step
2x + y = 180
x - y = 30
Answers
The value of x=70 and y=40
The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.
Here, 2x+y=180
x-y= 30
Here, the coefficient of y in these two equations are equal and have opposite signs. so,
2x+y= 180
x-y= 30
Now adding equation 1 and equation 2
We get,
3x= 210
x= 210/3
x= 70
Now, to find y:
Putting the value of x in equation 2
x-y= 30
70-y= 30
y= 70-30
y= 40
so, the value of x and y are 70 and 40
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Sean baked 18 dozen chocolate cupcakes and 13 dozen vanilla cupcakes. About how many cupcakes did sean bake
Answers
hi can u pls help asap ty
Answers
Answer:
this is your proper answer ...
Ubehebe Crater in Death Valley has a diameter of a little more than mile. If Latisha walks around its
rim at a rate of 2 miles per hour, about how long will it take her to walk all the way around the crater? Find your
answer to the nearest tenth. Use 3.14 for pi
Answers
On solving the provided question we can say that the it will 4 hrs to walk all the way around the crater, on doing the radius.
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter
here,
D= 1
r = 1/2 = .5
A = 40
T = 40/10 4 hrs.
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Given U(-6, 7), V (1, -7), W (6, 4), and X (10, y). Find y such that
UV LWX.
Answers
The coordinates of U and V are (-6,7) and (1,-7), respectively. The vector UV connecting these two points is given by (1-(-6), -7-7) = (7, -14).
The coordinates of W and X are (6,4) and (10,y), respectively. The vector WX connecting these two points is given by (10-6, y-4) = (4, y-4).
For the sides UV and WX to be parallel, the vector UV must be proportional to the vector WX. This means that the ratio of the x-components must be equal to the ratio of the y-components. In other words, we have the following equation:
(7/4) = (-14)/(y-4)
Solving for y, we get:
y = -7
Therefore, the value of y such that the quadrilateral UVLWX is a parallelogram is y = -7.
Which object has the largest resultant force?
10N-
10N-
30 N-
A
C
30 N
5N
-5N
10N-
5N-
5N-
5N-
B
D
10N
10 N
Answers
Answer:
To find the resultant force of an object, we need to add up all the forces acting on it. The resultant force is the overall force that the object experiences, taking into account all the individual forces.
In this case, we are given four objects, A, B, C, and D, and the forces acting on them. To find the object with the largest resultant force, we need to calculate the resultant force for each object by adding up all the forces acting on it.
For object A, the forces acting on it are: 10 N, 10 N, and 10 N, for a total of 10 N + 10 N + 10 N = 30 N.
For object B, the forces acting on it are: 5 N, 5 N, 5 N, and 5 N, for a total of 5 N + 5 N + 5 N + 5 N = 20 N.
For object C, the forces acting on it are: 30 N and -5 N, for a total of 30 N + (-5 N) = 25 N.
For object D, the forces acting on it are: 10 N and -5 N, for a total of 10 N + (-5 N) = 5 N.
Therefore, the object with the largest resultant force is object C, with a resultant force of 25 N.
Elaina bought 4.6 pounds of sliced ham at a price of $6.15 per pound. How much did she spend in total? quick
Answers
Answer:
$28.29
Step-by-step explanation:
1 pound: $6.15
4.6 pounds: 6.15 x 4.6 = $28.29
Quad. PQRS ~ Quad. TUVW, Owe side of PORS has the length 12. The corresponding side of TUVW has length 15. The perimeter of TUVW is 35 and the perimeter of PQRS is?
Pls help me solve this!!
Answers
Therefore , the solution of the given problem of perimeter comes out to be PQRS = 29 units.
Establish a perimeter.The perimeter, or total length, of a shape is referred to as its perimeter in geometry. A shape's perimeter is calculated by summing the lengths of all of its sides and edges. By adding together the lengths of all a shape's sides, one may determine its perimeter. The circumference of a field, for instance, will be 78 yards for a rectangle with dimensions of 24 yards long by 15 yards wide.
Here,
Given : PQRS has the length 12
and TUVW has length 15.
thus ,
To find the perimeter of PQRS:
we find,
TUVW = 35 units
and
PQRS = 35 - 6
=> PQRS = 29
Therefore , the solution of the given problem of perimeter comes out to be PQRS = 29 units.
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how to solve this equation for x x/3+7-5
Answers
the answer is right there
Between 2020 and 2021, the population of a city increased by 20% In 2021, the population of the city was 420 000. What was the population of the city in 2020?
Answers
Answer:
350,000.00
Step-by-step explanation:
420,000.00 - 20% = 350,000.00
Increase percentage: 70,000.00
In Mrs. Austin's science class, 37.5% of the students have compleated their science project. Of the remaining students, 40% have compleated only half of their science project. If there are 32 students in Mrs. Austin's science class, how many of these students have compleated half of their science project?
Answers
well, we know that 37.5% have finished it, that leaves unaccounted for 100% - 37.5% = 62.5%.
now, of those 62.5% fellows only 40% have finished only half of it, how many are those?
well, what's 62.5% of 32? what's 40% of that much?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{62.5\% of 32}}{\left( \cfrac{62.5}{100} \right)32}\implies 20 ~\hfill \stackrel{\textit{40\% of 20}}{\left( \cfrac{40}{100} \right)20}\implies \text{\LARGE 8}[/tex]
please help with geometry proof
Answers
Answer:
a and c are both congruent to each other i just learned about rhombuses the other day so if a and c are congruent then b and d are congruent too
A blueprint of a house has a scale in which 1 inch equals 4 1/2 feet. If the living room wall measures 7 1/4 inches on the drawing, what is the actual length of the wall?
The actual length of the wall is ___ feet
Answers
Answer:
Step-by-step explanation:
1 : 4 1/2 :: 8 1/5 : x proportion
x = (4 1/2)(8 1/5) product of means/extremes
x = (9/2)(41/5) change improper fraction
x = 369/10 multiply
x = 36.9 change to decimal
The actual length is 36.9 feet.
The fourth term of an arithmetic sequence is 20. The common difference is -1/5 times the first term. What is the first term? Graph the sequence.
Answers
As a result, the first term of the answer to the given arithmetic mean problem is 14.
What does arithmetic mean?The Arithmetic Mean or Average of the Group is the product of the sum of all the numbers in a group and the amount of items in that list, divided by both. The Geometric progression is also same as this .This average of the numbers 5, 7, and 9 is, for instance, 4, as 5 + 7 + 9 is 21, and 21 split by 3 [there really are three numbers] equals 7.
Here,
In this case, t(n) = (a + ((n — 1) * d)),
The value of the nth term is t(n),
The first term of the AS is a.
The position of a value in the A.S. is represented by the positive whole integer n, and
The constant common difference among A.S. words is d.
In light of the question, we can say:
11 = (5 + ((4 — 1) * d)),
Take 5 away from both sides.
11 — 5 = (5 + ((4 — 1) * d)) — 5,
On the RHS, the fives cancel one another out.
6 = 3d,
d = 2.
In summary, the common distinction is: 2.
=> 20 = a + 3d
=> 20 - 6
=> a =14
As a result, the first term of the answer to the given arithmetic mean problem is 14.
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A woman leaves home at 7 am and drives to New York City 200 miles away. If she averages 50 miles per hour, what time will she arrive at the city
Answers
Find time needed to drive 200 miles:
50 miles = 1 hour
1 mile = 1/50 hour
200 miles = 1/50 x 200 = 4 hours
Find time of arrival:
7:00am + 4 hours = 11am
Answer: She will arrive at 11am
Answer:
The woman will arrive at New York City at 11 am.
Step-by-step explanation:
At an average speed of 50 miles per hour, it will take the woman 4 hours to reach New York City. If she leaves at 7 am, she will arrive at 11 am. Here's the math:
200 miles / 50 miles per hour = <<200/50=4>>4 hours
7 am + 4 hours = 11 am
So the woman will arrive at New York City at 11 am.
Write an equation of a line
Answers
Answer:
Step-by-step explanation:
Steps to find the equation of a line from two points:
1) Find the slope using the slope formula. ...
2) Use the slope and one of the points to solve for the y-intercept (b). ...
3) Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = MX + b) to get the equation for the line.
Simplify the following expression: 3(5 – 12) + 4 ÷ 2
A. -19
B. 19
C. -23
D. -8.5
I think it's either A or B
Answers
3(5 - 12) + 4 ÷ 2 = - 19
A must be the answer
What is the area of the circle if BC = 6cm?
Answers
Answer:
[tex]A=9\pi cm^{2}[/tex][tex]=28.27cm^{2}[/tex]
Step-by-step explanation:
If BC= 6
then r = BC/2 = 6/2 = 3cm
[tex]A=\pi r^{2} =\pi (3)^{2} =9\pi[/tex]
[tex]A=28.27cm^{2}[/tex]
Hope this helps
Ann's car can go 210 miles on 6 gallons of gas. During a drive last weekend, Ann used 7 gallons of gas. How far did she drive?
Answers
Answer:
245 miles
Step-by-step explanation:
210 = 6 gallons
210/6 = how far you can travel with one gallon
210/6 = 35
7*35 = how far you can travel with 7 gallons
7*35 = 245
Answer:
Ann drove 245 miles during her drive last weekend.
Step-by-step explanation:
If Ann used 7 gallons of gas during her drive last weekend, we can use the car's MPG to find out how far she drove by multiplying the number of gallons used by the MPG:
7 gallons * 35 miles/gallon = 245 miles
help pleaseeeeeeeee
︎
︎
Answers
The correct answer in the number line is 2 and 0.888 .
In elementary math, what is a number line?A picture of numbers on a straight line is referred to as a number line in mathematics. Across the length of a number line, the numbers are arranged in a sequential manner at equal intervals. It is frequently seen horizontally and can extend indefinitely in any direction.
The addition, subtraction, division, and times table problems can all be illustrated with a number line. You can better comprehend the idea of negative numbers by using the number line.
The addition, subtraction, division, and times table problems can all be illustrated with a number line. You can better comprehend the idea of negative numbers by using the number line.
1. 9/2 in 2
2.4/9 by 2 is = 4/4.5 = 0.888 .
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