Answers
Answer:
Step-by-step explanation:
If there is a hole in the graph at x = -6, that means that there was initially an expression in both the numerator and the denominator that was the same, which is the hole very loosely defined. If the hole is at x = -6, then the factor for that solution is (x + 6). One of those has to be in both the numerator and denominator in order for them to cancel out. This is called a removeable discontinuity. Because the x-intercept is at x = 3, the factor for that zero is (x -3). That has to go in the numerator also. Our equation then for the rational function graphed is
[tex]y=\frac{(x+6)(x-3)}{(x+6)}[/tex] which FOILs to
[tex]y=\frac{x^2+3x-18}{x+6}[/tex]
Related Questions
Math in the Real World Terrell plotted points on the coordinate plane as shown. He noticed that the points lie on a straight line. Write an equation that shows the relationship between the x- and y-coordinate of each point Terrell plotted. Then use the equation to find the y-coordinate of a point on the line with an x-coordinate of 20. YA 10 8 6 2 (5.2) (9,6) (8,5) (3, 0) 0 2 4 6 8 10 x
POINTS:50 (EMERGENCY!)
Answers
(20,14)
Not much to explain here
WILL GIVE BRAINLIEST PLEASE HELP.
find the area of the shaded regions give your answers as a correctly simplified answer value in terms of pie
Answers
The area of the shaded region is 84.82 cm².
What is the area of the shaded region?
The area of the shaded region is calculated by subtracting the area of the sector from the area of the entire circle.
Since the angle of the sector is 90 degrees, we can conclude that the entire circle is divided into four.
Area of the shaded region = πr² - 1/4(πr²) = 3/4πr²
where;
r is the radius of the circleThe area of the shaded region is calculated as;
A = 3/4πr²
A = 3/4 x π ( 6 cm )²
A = 84.82 cm²
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For problems 12-15 find the unknown factor.
. 3/4 x ? =9/16
2/5 x ? =8/15
5/7 x ? = 5/9
Answers
2.4/3
3. 7/9
There’s the answers to all of the equations.
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solid shapes are regular when all the faces are eaqual which 3d shapes is regular?
a) cylinder
b) cube
c) cuboid
Answers
A regular solid shape is defined as a three-dimensional object that has all its faces congruent and all its vertices congruent. In other words, all faces have the same shape and size and all vertices have the same angle measures.
Among the options provided, only the cube is a regular solid shape. A cube is a three-dimensional object that has six equal square faces. Each face is a square and each vertex has the same angle measure. The edges of a cube are congruent and the shape is highly symmetrical.
The cylinder is not a regular solid shape because it has two congruent circular faces and one curved surface, which is not congruent to the other two faces. The vertices of a cylinder also have different angle measures.
The cuboid is not a regular solid shape because it has six rectangular faces, and the shape is not highly symmetrical. The vertices of a cuboid also have different angle measures.
In conclusion, a regular solid shape must have congruent faces and congruent vertices, and only a cube satisfies these conditions. It is important to note that not all regular shapes are regular solid shapes, for example, a sphere is a regular shape, but it is not a regular solid shape because it has no faces, vertices or edges.
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Un numero es el quintuple de otro y la suma de los dos es 192
al cuales son esos dos números?
Answers
Los dos números dados en el conjunto de preguntas anterior son 32 y 160. Para resolver este problema, se puede establecer una ecuación con variables.
Sea x el número más pequeño, entonces el número más grande sería 5x. La suma de ambos es 192, por lo que
x + 5x = 192.Al resolver esta ecuación simple, se obtiene que x = 32, y por lo tanto, 5x = 160. Estos son los dos números que cumplen con los requisitos dados en la pregunta.
En matemáticas, la sumatoria es la suma de una secuencia de cualquier tipo de números, llamados sumandos o sumandos; el resultado es su suma o total.
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I need help with a problem
Answers
Answer:
x= 19
Step-by-step explanation:
6x+4+4x-14= 180
10x-10= 180
10x= 190
x= 19
jokes are listed in a magazine, where one is written by a female author. If the order in which these jokes are told makes a difference in terms of how they are received, how many ways can they be delivered if a joke by a man is told first?
Answers
Answer: Let's assume that there are "m" jokes written by male authors and "f" jokes written by female authors, such that m + f = total number of jokes in the magazine.
If a joke by a man is told first, there are (m - 1)! ways to arrange the remaining m - 1 jokes written by male authors and f! ways to arrange the jokes written by the female author. The total number of ways the jokes can be delivered is (m - 1)! * f!.
So, the answer is (m - 1)! * f! ways to deliver the jokes if a joke by a man is told first.
Step-by-step explanation:
Question's attached below.
Ty! :)
Answers
Answer:
$14087.49
Step-by-step explanation:
APR=8%,
monthly interest rate (r)=8%/12=0.08/12
Monthly payment, A=$250
After 4 years, n=4*12 = 48 months,
the balance P is therefore
P= A((1+r)^n-1)/i
=250((1+0.08/12)^48-1)/(0.08/12)
=14087.49
reduce fraction 2x+nx-2y-ny/7x-7y and give boundaries
Answers
Answer:2+n/7
Step-by-step explanation:
Simplify the expression
Which is the standard form of the equation with p=26, theta=3pi/4
Answers
The standard form of the equation for the given p value and theta is equal to -x + y = 26√2.
Standard form of the equation is :
x cosθ + y sinθ = p
Here p = 26 and theta 'θ' = 3π /4
Substitute the value in the standard form we get,
x cos (3π/4 ) + y sin( 3π /4 ) = 26
⇒ x cos ( π - π/4 ) + y sin ( π - π/4 ) = 26
⇒ - x cosπ/4 + y sinπ/4 = 26
Substitute the value of cosπ/4 and sinπ/4 is equal to 1/√2 we get,
⇒ -x /√2 + y / √2 = 26
⇒ -x + y = 26√2
Therefore, the standard form of the equation is equal to -x + y = 26√2.
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A wheel of cheese has a radius of 7 inches and a height of 3 inches. What is the approximate surface area of this wheel of cheese? Use 3.14 for pi.
Answers
A wheel of cheese has a radius of 7 inches and a height of 3 inches
The approximate surface area of this wheel of cheese is 458.4 square inches.
To get the surface area of a cylinder, we have to calculate the area of the lateral surface and add the areas of the two circular end faces.
The lateral surface area of a cylinder is calculated as 2 * pi * r * h, where r is the radius and h is the height.
So the lateral surface area in this scenario would be: 2 * 3.14 * 7 * 3 = 150.52 square inches.
The area of the two end faces must then be calculated. we know, Pi * r^2, where r is the radius, gives the area of a circle.
So the area of each end face in this situation would be 3.14 * 7^2 = 153.94 square inches.
Total surface area= lateral surface area + end face area
=150.52 + 153.94 + 153.94 = 458.4 square inches (approximately)
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(6) In a triangle, the sides have a ratio of 3:7:10. If the perimeter is 210 feet, what is the length of the longest side in feet? (A) * 10.5 (B) 31.5 (C) (D) 105
Answers
Answer:
(D)105 ft
Step-by-step explanation:
In a triangle, the sides have a ratio of 3:7:10. If the perimeter is 210 feet, what is the length of the longest side in feet? (A) * 10.5 (B) 31.5 (C) (D) 105
we divide the perimeter by the sum of the ratios and multiply by the largest ratio and we will have the longest side.
[210 : (3 + 7 + 10)] x 10 = 105 ft (your answer)
Step-by-step explanation:
the ratio tells us into how many units the total amount is split and then distributed among the different parts or members of the ratio.
3:7:10 means there are 3+7+10 = 20 units of length.
210 ft is the total of all lengths.
this is now split into these 20 units.
that means one unit of length for the ratio is
210/20 = 10.5 ft
the longest side is clearly the one with 10 units in the ratio.
so, it has
10×10.5 = 105 ft
WILL GIVE BRAINILEST HELP ASAP
Answers
Answer: B,C,D
Step-by-step explanation:
Since the only requirement is that the width needs to be at least 50 yds. B, C,D all work.
Consider the function g(x)=−(x−3)^3−2.
Which ordered pair lies on the inverse of the function?
Answers
The ordered pair that lies on the inverse of the function is (25, 0)
Which ordered pair lies on the inverse of the function?From the question, we have the following parameters that can be used in our computation:
g(x)=−(x−3)^3−2.
Set x = 0
So, we have the following representation
g(0) =−(0−3)^3−2.
Evaluate the expression
This gives
g(0) = 25.
So, the ordered pair of teh inverse is (25, 0)
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Answer: -3,4
Step-by-step explanation:
Find the volume of a sphere with a surface
area of 2,123.72 square meters
Answers
V = (4/3) * π * r^3
Where r is the radius of the sphere. To find the radius, we can use the surface area formula for a sphere:
A = 4 * π * r^2
So, rearranging this formula to solve for r:
r = √(A / (4 * π))
Substituting the given surface area of 2,123.72 square meters and simplifying:
r = √(2123.72 / (4 * π)) = √(532.43) = 23.06
Now that we have the radius, we can use it to find the volume of the sphere:
V = (4/3) * π * r^3 = (4/3) * π * 23.06^3 = 24,785.01 cubic meters
So the volume of a sphere with a surface area of 2,123.72 square meters is approximately 24,785.01 cubic meters
Answer:
9202.77m³Step-by-step explanation:
Let's get the volume of the sphere by finding the radius using the surface area given Surface area of a sphere = 4πr²[tex]2123.72 = 4 \times 3.14 \times {r}^{2} [/tex]
[tex]2123.72 = 12.57 {r}^{2} [/tex]
[tex] \frac{12.57 {r}^{2} }{12.57} = \frac{2123.72}{12.57} [/tex]
[tex] {r}^{2} = 168.95[/tex]
[tex]r = 13.0[/tex]
Volume of a sphere[tex] \frac{4}{3}\pi {r}^{3} [/tex]
[tex] \frac{4}{3} \times 3.14 \times {13}^{3} = 9202.77 {m}^{3} [/tex]
A rocket is launched in the air. Its height in feet is given by h(t)= -16t^2+88t where t represents the time in seconds after launch. How long is the rocket in the air?
Answer: ___ seconds
Answers
A rocket is launched with height function h(t)= -16t²+88t for time 't' in seconds the rocket is in the air for the time t = 5.5 seconds.
A rocket launched with height function :
h(t)= -16t²+88t
't' represents the time in seconds
'h' is the height of rocket.
Time for which rocket is in the air given by :
When h(t) = 0
Substitute the value we get,
⇒ -16t²+88t = 0
⇒ -16t ( t - 5.5 ) = 0
⇒ -16 ≠ 0 or t ≠ 0 or ( t - 5.5 ) = 0
Time can never be zero.
hence,
( t - 5.5 ) = 0
⇒ t = 5.5 seconds
Therefore, the time of the rocket when it is in the air is equal to 5.5 seconds.
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Help me in the second question please
Answers
The equation representing the hanger is 3x - 2y = 0 and when x = 6, y = 9
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, the weight of the square is y
And, the weight of the triangle is x
Now, the equation according to the diagram is;
x + 3y = 4x + y
4x - x + 3y - y = 0
3x - 2y = 0
Now, when, x = 6
So, y =
3x - 2y = 0
3x = 2y
3(6) = 2y
18 = 2y
y = 9
Hence, the equation representing the hanger is 3x - 2y = 0 and when x = 6, y = 9
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-me:
. A motocross company offers a loan to buy an ATV
for $4,000. What is the monthly payment?
Loan Offer
9.3% Simple Interest
Equal monthly payments for 6 years.
C
Answers
The monthly payment is $86.55. The result is obtained by using the formula for simple interest.
How to count the simple interest?The simple interest of an amount of money can be counted by the following formula.
I = P × r × t
Where
I = simple interestP = principal amount (initial balance)r = simple interest rate (usually per year)t = time periodA motocross company offers a loan to buy an ATV for $4,000. Loan Offer 9.3% Simple Interest.
If it is for 6 years, find the monthly payment!
We have
r = 9.3%P = $4,000t = 6 yearsIt is not mentioned that the simple interest apply per year or per month. We assume the simple interest is per year. It will be
I = P × r × t
I = $4,000 × 9.3% × 6
I = $2,232
The total money to be paid will be
A = P + I
A = $4,000 + $2,232
A = $6,232
The monthly payment is
MP = A/t
MP = $6,232/(6 × 12)
MP = $6,232/72
MP = $86.55
Hence, the person who borrows for $4,000 to buy an ATV should pay $86.55 each month for 6 years.
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need help schoology
.
Answers
Answer:
a = 68°
Step-by-step explanation:
a and 112° are a linear pair and sum to 180° , that is
a + 112° = 180° ( subtract 112° from both sides )
a = 68°
what is the probability of obserbing another sample proportion from this population that is between 0.45 and 0.70
Answers
I need help with this ASAP PLEASE
Answers
The data from a survey on the academic degrees earned by students in the United States in 2009 is shown below. Degree Male (in thousands) Female (in thousands) Marginal Totals (in thousands) Associate 298 489 787 Bachelor 685 916 1,601 Master 260 397 657 Professional 47 45 92 Doctorate 32 35 67 Marginal Totals (in thousands) 1,322 1,882 3,204 About how many students were awarded a bachelor’s degree in 2009? A. 916,000 B. 685,000 C. 1,601,000 D. 1,322,000
Answers
1601000 students were awarded a bachelor’s degree in 2009.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
First, notice that the table is in thousands, remember that.
Now, we need to go to the part of the row of the table where we have "Bachelor".
There we can see that in 2009, a marginal total of 1,601 thousands got that degree.
Then we can conclude that in 2009, a total of:
1,601×100 = 1,601,000 students got a bachelor's degree.
Hence, 1601000 students were awarded a bachelor’s degree in 2009.
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Answer:
C. 1,601,000
Step-by-step explanation:
This is the correct answer.
Pink paint is made by mixing white paint and red paint in the ratio 5 : 3. 32 litres of pink paint are made. How much white paints are used?
Answers
Answer:
20 liters of white paint, 12 liters of red paint
Step-by-step explanation:
Let w = liters of red paint and r = liters of red paint
[tex] \frac{w}{r} = \frac{5}{3} [/tex]
[tex]w = \frac{5}{3} r[/tex]
[tex]w + r = 32[/tex]
[tex] \frac{5}{3} r + r = 32[/tex]
[tex] \frac{8}{3} r = 32[/tex]
[tex]r = 12[/tex]
[tex]w = 20[/tex]
A cedar canoe has a mass of 40 kilograms and a density of 400 kilograms per cubic meter. Calculate its volume.
Answers
The volume of the cedar canoe with a mass of 40 kilograms and a density of 400 kilograms per cubic meter is 0.1 cubic meters.
What is the volume of the cedar canoe?Density is expressed mathematically as;
p = m / v
Where m is mass and v is volume.
Given that;
Mass of the canoe m = 40kgDensity p = 400 kg/m³Volume v = ?To determine the volume, plug the given values into the above formula and solve for v.
p = m / v
v = m / p
v = 40kg / 400 kg/m³
v = 40kgm³ / 400 kg
v = 40m³ / 400
v = 0.1 m³
Therefore, the volume is 0.1 cubic meters.
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math help help pleasee
Answers
Answer:
I belive the answer is "5x+35"?
Answer:
x=29
Step-by-step explanation:
3x+15+2x+20=180; 3x+2x=145; 5x=145; x=29
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10+10-2 a aa aa a aanswe pls
Answers
Answer:18
Step-by-step explanation:
Answer:18
Step-by-step explanation:
i need help solving the first problem
Answers
Answer:
f(x), g(x)10, 0, UNDEFINEDStep-by-step explanation:
You want to know which functions have 5 in their domain, and what the function value is at x=5.
f(x) = x² -3xg(x) = (x -5)/xh(x) = √(x -10)ValuesIt is more convenient to do the second part first, as that tells you the answer to the first part:
f(5) = 5² -3·5 = 25 -15 = 10 . . . . 5 is in the domain
g(5) = (5 -5)/5 = 0/5 = 0 . . . . 5 is in the domain
h(5) = √(5 -10) = √(-5) . . . . UNDEFINED; 5 is not in the domain
Please help me find the value of x!
Answers
Answer:
90
Step-by-step explanation:
45+45=90
what percentage of 70 is 42?
Answers
Answer: 60
Step-by-step explanation:
(42/70) * 100
42/70 = 0.6
0.6 * 100 = 60
Answer : 70 - 42 = 28
then find out using percentage formula then will get answer =
60%
0,4277 rounded to 2 decimal places?
Answers
Answer:
0.43
Step-by-step explanation:
Rounding to 2 decimal places means keeping only 2 digits after the decimal point and adjusting the third digit, based on the rules of rounding. In this case, the number 0.4277 would be rounded to 0.43. This is because the third digit after the decimal point (7) is 5 or greater, so we round up the second digit (2) to 3. This gives us the rounded number 0.43, which has only 2 decimal places.