El teorema del residuo corresponde al enunciado de que cuando un polinomio se divide por el término x-c, entonces queda un residuo.
¿Qué es el teorema del residuo?Se puede definir como dividir un polinomio por un binomio, que tendrá un residuo. Es decir, es un método de cálculo de integrales de funciones analíticas en caminos cerrados.
Por tanto, a través del teorema del residuo es posible realizar los métodos de división amplia y división sintética.
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If f(x) = 5x/3 + 5, which of the following is the inverse of f(x)?
—7y - 17 = -38 show your work
Answer:
y = 3
Step-by-step explanation:
Given
- 7y - 17 = - 38 ( add 17 to both sides )
- 7y = - 21 ( divide both sides by - 7 )
y = 3
Answer:
[tex]y=3[/tex]
Step-by-step explanation:
[tex]-7y - 17 = -38[/tex]
Add 17 both sides
[tex]-7y - 17 + 17= -38+17[/tex]
[tex]7y= -21[/tex]
Divide both sides by -7
[tex]\dfrac{-7y}{-7}=\dfrac{-21}{-7}[/tex]
[tex]y=3[/tex]
List 2 integers that have a difference of -3
Answer:
0-3
Step-by-step explanation:
From what I undersand when you subtract the two they have to equal negitive three
Step-by-step explanation:
3-6= -3-5+2= -3Hope it helpsFind an equation of the line passing through each of the following pairs of points (−3, 1), (0, 3)
Answer:
y= 2/3x +3
Step-by-step explanation :
Help please!!! Anything would be appreciated :3
d/4=9 what is d? pls help‼️
What is the equation of the line that passes through the point (-3,2) and has a slope of -3
Answer:
y= -3x-7
Step-by-step explanation:
The number of pages Caitlin reads over time is shown in the table below.
Caitlin's Reading Log
Hours
2 4 5
Number of Pagos 90 180 225
Part A. What is Caitlin's rate of reading?
Part B. Victoria reads at the rate of 60 pages per hour. What is the difference in the number of pages Victoria and Caitlin will read in 6 hours?
Enter the correct numbers in the boxes.
A.
pages per hour
B.
pages
The table compares the shoes worn by customers in an ice cream shop and the ice cream flavor that they picked. Can ice cream flavor be represented as a function of the type of shoe? Shoe type Ice cream flavor Boots Strawberry Loafers Vanilla Sandals Chocolate High-heels Banana Flip-flops Pineapple Moccasins Chocolate Sandals Banana Loafers Vanilla Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
the answer is no.
bajaabjshsiwhdd
Answer:
No
Step-by-step explanation:
Amelia ,Hayden and Sophie did a test the total for the test was 75 marks Amelia got 56% of 75 marks Hayden got 8/15 0f the 75 marks Sophie got 43 out of 75 marks who got the highest
Step-by-step explanation:
Amelia got 56% of 75 so
(56/100)*75=(56*75)/100=4200/100=42
Hayden got 8/15 of 75 so
(8/15)*75=(8*75)/15=600/15=40
and Sophie that got 43 out of 75
so we see that Sophie got the highest points.
Given parameters:
Total test score = 75marks
Percentage of Amelia score = 56%
Fraction of Hayden's score = [tex]\frac{8}{15}[/tex]
Sophie's score = 43marks
Unknown:
The person with the highest score = ?
Solution:
Since total score = 75marks;
Amelia's score = [tex]\frac{56}{100} x 75[/tex] = 42marks
Hayden's score = [tex]\frac{8}{15} x 75[/tex] = 40marks
Sophie's score = 43 marks
The person with the highest score is Sophie with a mark of 43.
Ten times the sum of half a number x and 8 is 12.
BREAKDOWN
10 times: 10 ×
The sum of: ( ) + ( )
which would be : 10 × ( ) + ( )
half a number: 10 × ( X/2 ) + ( )
and 8: 10 × ( X/2 ) + ( 8 )
is 12 : 10 × ( X/2 + 8 ) = 12
xxxxxxxxxxxxxxxxxxx
SIMPLIFICATION
Multiply ten: 10 X (X/2 + 8) = 12
which equals to: 5x + 80 = 12
bring the like terms together: 5x = 80 - 12
Equals: 5x = 78
Find out X:. x = 78/5
FINAL ANSWER:. X = 15.9
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During flu season, there were 93 students out of school on a particular day. If this is 12% of the total number of students at the school, how many total students are enrolled at the school?
The total students that are enrolled at the school is = 868 students
Calculation of total studentsIn the flu season the number of students absent from school = 93
The percentage of students absent from school = 12%
If 93 students = 12%
X students = 100%
Make X the subject of formula,
X = 93× 100/12
X= 9300/12
X = 775
Therefore, 775 + 93 = 868
The total students that are enrolled at the school is = 868 students.
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The table shows the number of condo sales per month for a new condo building. Select all the equations that could represent the number of sales.
Answer:
Option (1) and (5)
Step-by-step explanation:
Let the equation representing number of sold is,
y - y' = m(x - x')
Where m = number of condo sold per month
(x', y') is a point from the given table,
Slope of line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the passing through (1, 8) and (0, 11) will be,
m = [tex]\frac{11-8}{0-1}[/tex] = -3
Therefore, equation of the line passing through (3, 2) and slope (-3),
y - 2 = (-3)(x - 3)
y - 2 = -3(x - 3)
Similarly, equation of the line passing through (0, 1) and slope (-3),
y - 11 = -3(x - 0)
Therefore, Option (1) and (5) will be the answer.
Answer:
Options 1 and 5
what is the value of xy/z if x= 4, y = -3, and z = -2?
A. -1/6
B. -6
C. 1/6
D. 6
Which of the following is equivalent to 2-47
Answer:
45
Step-by-step explanation:
2 minus 47 equals 45 if that's what your talking about
how do i find the inverse of f(x) = (6x + 3)/(x-8)
Answer: [tex]f^{-1}(x)=\dfrac{8x+3}{x-6}[/tex]
Step-by-step explanation:
To find the inverse, swap the x's and y's and solve for y. Note that f(x) is y.
[tex]\underline{\text{Given:}}\\y=\dfrac{6x+3}{x-8}\\\\\\\underline{\text{Swap the x's and y's:}}\\x=\dfrac{6y+3}{y-8}\\\\\\\underline{\text{Solve for y:}}\\x(y-8)=6y+3\\\\xy-8x=6y+3\\\\xy-6y=8x+3\\\\y(x-6)=8x+3\\\\\large\boxed{y=\dfrac{8x+3}{x-6}}[/tex]
There are b people on a bus at the next stop 7 people get off and 10 more get on how many more people are on the bus now
Answer:
b-7+10
Step-by-step explanation:
If there is no specific number or if there isn't anything as an equal sign then there is only that
Solve the literal equation
x = a + b + c
————
ab
Answer:
a = xab/(b + c)
Step-by-step explanation:
x = (a + b + c)/ab
Isolate the variable by multiplying/dividing everything, but variable a to both sides
x × ab/(b+ c) = (a + b + c)/ab × ab/(b + c)
xab/(b + c) = a
A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 200 feet. Suppose the
wheel rotates 60°, causing the height of the seat to decrease. How much closer to the ground is the seat after the
rotation?
O 50 feet
O 50 feet
O 100 feet
O 100v3 feet
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The required height of the seat from the ground is 100√3. Option D is correct.
A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 200 feet. Suppose the wheel rotates 60°, causing the height of the seat to decrease. How much closer to the ground is the seat after the is to be determined.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
Diameter = 200
Radius = Diameter/2 = 100
Rotational angle = 60°
Let the height be h
tan60 = h/100
√3 = h/100
100√3 = h
Thus, the required height of the seat from the ground is 100√3. Option D is correct.
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Answer:
50 √3 feet
Step-by-step explanation:
Correct on edge 2023.
Help me with this question, please. Im stuck.
The answer is A, x=7/3
Decimal form would be x=2.3...
And mixed number form would be x=2 1/3
Can someone help me I will give extra points and whoever is first I will mark as Brainliest
Find the value of p(1) if p(x) = (2x-5)(x-1) *
(a)1
(b)4
(c)0
(d)2
Please answer it very fast. I want it now.
HELPPPPPPPPP PLEASEEEEEEE
Answer:
h=[tex]\frac{b\sqrt{3} }{2}[/tex]
Step-by-step explanation:
if a is perpendicular to b and b is parallel to c ,
how does a and c relate
The rectangle below has been enlarged by a scale of 3.5.
A rectangle with a length of 8 and width of 6.
[Not drawn to scale]
What is the area of the enlarged rectangle?
Answer:
588
Step-by-step explanation:
Got it right on Edgen
Answer:
588
Step-by-step explanation:
i took the test
Mary decided to start walking her dog 3 miles each week.
How many miles per day must she walk the dog?
Answer:
21
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
Im not sure but this is my best answer
The number -2 is a solution to which of the following inequalities?
x + 7 > 5
-3 x 10
Answer:
x -7 < -4
Step-by-step explanation:
Please Help!!! I am in a Quiz!!!!!!!!!!!!!
A best-selling book is 2 11/16 inches thick. How many copies of the book would fit on a bookstore shelf that is 30 inches long?
Answer:
Step-by-step explanation:
1 think 12 or 13
Sketch a graph to represent the situation. Label each section.
You buy two shirts. The third one is free.
all and
Answer:
for every 2 shirts, the 3rd is free
Step-by-step explanation:
Eight more than the number n is equal to 25. find the number n