Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are
2
numbers to the right of the decimal point, place the decimal number over
10
2
(
100
)
. Next, add the whole number to the left of the decimal.
4
18
100
Reduce the fractional part of the mixed number.
4
9
50
Convert
4
9
50
to an improper fraction.
Tap for more steps...
209
50
A polynomial f (x) has the given zeros of 8, –1, and –3.
Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form. Show all necessary calculations. (3 points)
Part B: Divide the polynomial f (x) by (x2 – x – 2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote. (4 points)
Part C: List all locations and types of discontinuities of the function g(x). (3 points)
The answer is "[tex]\bold{x^3-4x^2-29x-24, y=x-3,\ and\ x=2}[/tex]" and following are the complete solution to the given parts:
For point A)[tex]\to \bold{f(x)=(x-8)(x+1)(x+3)=(x^2-7x-8)(x-8)=(x^3-4x^2-29x-24)}[/tex]For point B)
[tex]\to \bold{x^2-x-2=(x-2)(x+1)}\\\\\to \bold{g(x)=\frac{(x-8)(x+1)(x+3)}{(x-2)(x+1)}}[/tex]
When [tex]x \neq -1[/tex] then
[tex]\to \bold{g(x)=\frac{(x-8)(x+3)}{x-2}}\\\\\to \bold{\lim_{n \to \infty} \frac{g(x)}{x}}[/tex]
So
For point C)
It is discontinuity when a [tex]\bold{x=2}[/tex] that is a vertical asymptote.
Learn more:
brainly.com/question/24520259
Answer:
Part A:
x^3 - 4x^2 - 29x -24
(x + 1)(x - 8)(x + 3)
Part B.
(x + 1)(x - 8)(x + 3) / x^2 - x - 2= (x + 3)(x - 8) / x - 2
g(x)= (x + 3)(x - 8) / x - 2= y= x - 3
Part C.
x=2.
Step-by-step explanation:
See images for more information, it wouldn't let me post it.
Pls help need this ASAP in 10 mins
w = x ÷ a - b solve for x (show work pls)
Answer:
w=x÷a-b
Step-by-step explanation:
w=a-b/x
or, wx= a-b
or, x= a-b/w
SOMEBODY PLEASE ANSWER THIS IVE BEEN TRYING FOR 2 DAYS NOW I NEED HELP. The value of a car is depreciating by 12% per year.
Write a rule expressing the value of the car after x years if it is currently worth $15,000.
What will the car be the worth in 10 years ? What was the car worth 5 years ago ?
5x -4= 4x please help me
[tex]5x-4=4x\\\\5x-4x=4\\\\\huge\boxed{x=4}[/tex]
Answer:
4=x
Step-by-step explanation:
5x-4=4x
-4=-x
4=x
help with number 4!!!!!!
Answer:
he have to travel 12 cm/km
Step-by-step explanation:
lets find x by transposing
3x = 2x + 2 (as M is the midpoint)
3x - 2x = 2
x = 2
now put 2 instead of x
3x + 2x +2 = (distance from friends home to house)
3 (2) + 2 (2) +2
6 + 4 + 2
10 + 2
= 12
What is the slope of this line?
y = x + 12
m = [?]
Please help
The slope of the line is 1
Answer:
..................
Step-by-step explanation:
The slope of the line is 1.
How do we get to the vertex if this is the function: n(x)= |-1/3x + 1| =2 ??
Answer:
ANSWER IS BELOW
Step-by-step explanation:
Find the properties of the given parabola.
Tap for more steps...
Direction: Opens Up
Vertex:
(
0
,
0
)
(0,0)
Focus:
(
0
,
3
4
)
(0,34)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
−
3
4
y=-34
Select a few
x
x
values, and plug them into the equation to find the corresponding
y
y
values. The
x
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3
xy-243-1130011333
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
0
,
0
)
(0,0)
Focus:
(
0
,
3
4
)
(0,34)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
−
3
4
y=-34
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3
xy-243-1130011333
Evaluate:
2a + 7b for a = 5 and b = 3
Answer:
31
Step-by-step explanation:
Substitute the values for the variables.
[tex]2(5)+7(3)\\10+21\\31[/tex]
hello,
substitute in the numbers
2(5) + 7(3)
10 + 21
= 31
plsss helpppp will mark brainliest!!
Answer:
D. 2¹⁵/4¹⁰
Step-by-step explanation:
(2³/4²)⁵ = 1/64
A. 2⁸/4⁷ = 1/128
B. 2⁵/4⁴ = 1/16
C. 2⁶/4⁶= 1/128
D. 2¹⁵/4¹⁰= 1/64
SO (2³/4²)⁵ = 2¹⁵/4¹⁰
4 less than n is 9.?
Answer:
13. Bestie literally 9+4
Answer:When solving a question like "What number is 4 less than 9?", take a close look at what it is really asking.
You have the number 9 and you are looking for a number that is 4 less than 9. In other words, if you have 9 and take away 4, then how many do you have?
You guessed it! This is a subtraction problem. 9 is the minuend and 4 is subtrahend and the answer we are looking for is the difference.
Therefore, to solve "What number is 4 less than 9?", you subtract 4 from 9 like so:
9 - 4 = 5
Step-by-step explanation:
Help Pls!
A pile of 15 boxes is 3 metres high. What is the depth of each box?
a=b-c
How do I write it as c=?
and the equation
Answer:
The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.
Step-by-step explanation:
i need help plzzzzzzzz
Answer:
Step-by-step explanation:
The expanded form of 79 is 70+ 9. To apply the distributive property you rewrite the problem 3(70 + 9) which is the same as (3x70) + (3x9). Next do the multiplication 3x70= 210 + 3x9= 27
Next add the sums: 210 + 27 = 237.
James fences in his backyard. The perimeter of his fence is 20 feet, and the width of his yard is 2 feet wide. Use the perimeter formula to find the length of his rectangular yard in INCHES: P = 2L + 2W
Answer:
96 inches
Step-by-step explanation:
Because we already have the perimeter, we have to solve the formula for L (length). To do this, simply subtract 2W (width) from both sides so that we're left with 2L by itself. The formula is now 2L= P-2W. When we plug in the numbers we get 2L= 20'-2(2'). All we have to do is solve for L.
2L= 20'-4'
2L=16'
[tex]\frac{2L}{2}[/tex]=[tex]\frac{16}{2}[/tex]
L=8'
We need the answer to be in inches, so multiply 8(12) to get 96''
Pleaseeeeeeeeeeeeeeeeeeee
Answer:
∠DAB = 68
Step-by-step explanation:
∠DAB we need to find this
∠DAB = ∠C (vertically opposite angles are equal)
∠DAB = 68
ASAPPP PLSSSS Both of the questions pls
Answer: Number 4 is the Bottom Bubble
Number 5 is the 2nd bubble
Step-by-step explanation:
0.012, 0.12, 1.2, 12
9.68, 9.7, 9.71, 9.90
Step-by-step explanation:
1 - (0.012 , 0.12 , 1.2 ,12)
2- (9.68 , 9.7 , 9.71 , 9.90)
Solve the equation (-20)-2+9+18
Answer:
5
Step-by-step explanation:
Members of a baseball team raised $1781.25 to go to a tournament. They rented a bus for $1063.50 and budgeted $65.25 per player for meals. Write and solve an equation which can be used to determine x x, the number of players the team can bring to the tournament.
Answer:x=11
65.25x + 1063.50= 1781.25
To solve this equation, subtract the rental cost of the bus to get $717.75.
Now the equation should be 65.25x= 717.75
Divide both sides by 65.25, and you should get that x = 11. That’s your finally answer!
Step-by-step explanation:
The graph of y = f(x) is graphed below. What is the end behavior of f(x) ?
Answer:
The first option, as x approaches infinity, y approaches infinity and as x approaches negative infinity, y approaches negative infinity
Step-by-step explanation:
Solve the equation:
5 + 4x - 7 = 4x - 3-X
Answer:
1 = -x
Step-by-step explanation:
group like terms together so
this 5 + 4x - 7 = 4x -3 - x
becomes this 5 - 7 + 3 = 4x -4x -x
then simplify 1 = - x
Is it possible for any angle A, sinA=7/5Explain.
Answer:
No
Step-by-step explanation:
note [tex]\frac{7}{5}[/tex] = 1.4
and sinA is defined for - 1 ≤ sinA ≤ 1
Thus sinA ≠ [tex]\frac{7}{5}[/tex]
Yes or no on each one
Answer:
NO
YES
NO
YES
Step-by-step explanation:
for example :
(4³)³ = 4^9
4³.4³ = 4^6
18)
Christopher's cell phone company
charges a monthly'rate of $56 plus
$0.95 per gigabyte of data used,
and $0.08 per text message sent.
Christopher sent 55 text messages
messages in April and received a bill
for $68.00. How much data did he
use?
Answer:
8 GB
Step-by-step explanation:
Cost = sum of fees 1, 2, and 3
C = 56 + .95g + .08t
so
68 = 56 + .95g + .08(55)
68 = 56 + .95g + .08(55)
68 = 56 + .95g + 4.4
68 - 56 - 4.4 = .95g
7.6 = .95 g
7.6/.95 = g
8 = g
 Nates architectural client said she wanted the worth of every room in your house increase by 2 feet and the length increase by 5 feet. The polynomial 2s^2-w-20 gives the area of any room in the house with w representing the rooms with. The width of the kitchen is 16 feet. What is the area of the kitchen?
Answer: 3(19)^2 - 19 - 20
3(361)-39
1083-39
1044
The area is 1044 ft.^2
The area is 1044
Step-by-step explanation:
Let f(x) = 12 over the quantity of 4 x + 2. Find f(−1). (1 point)
Answer:
-6
Step-by-step explanation:
Hope I understand your "f(x) = 12 over the quantity of 4 x + 2" correctly
f(x) = 12 / 4x +2
Now so they want a f(-1), as u can see they substituted the x for - 1, therefor do that the same to the right side
f(-1) = 12/ 4(-1) + 2
f(-1) = 12 / - 4+2
= 12/ - 2
= - 6
I know the answer, I'm just confused on what to put for explore, plan, solve, and examine!
Joseph earned $53 the first week he worked at Jim’s Candy Store and $62 the next week. How much did Joseph earn his first two weeks?
Explore:
Plan:
Solve:
Examine:
Answer:
Explore - ??? (What are you suppose to put for that (Add comment))
Plan - First week - 53 Second week - 62
Solve - 53 + 62 = 115
Examine - (Use a graph to see the rise?)
Step-by-step explanation:
Determine if 0.9375 is rational or irrational and give a reason for your answer.
Answer:
0.9375 is rational
Explanation:
A rational number is any integer, fraction, or terminating decimal (which 0.9375 is)
The decimal number 0.9375 is a rational number.
What is a rational number?Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.
A rational number is any integer, fraction, or terminating decimal (which 0.9375 is). The given number 0.9375 is a rational number because it can be written in the form of the fractions like p / q.
Therefore, the decimal number 0.9375 is a rational number.
To know more about a rational number follow
https://brainly.com/question/511377
#SPJ2
Decide!!!!!!!!!!!!!!
Answer:
547Step-by-step explanation:
The minute hand hits the 0 minute once each hour. This results each hour to become 61 minutes.
Number of hours from Monday 00:01 to Friday 07:30 is 4*24 + 7.5 = 103.5
Extra time considering defective clock (full hours):
103 minutes = 1 hr and 43 minAlarm to be set at:
07:30 - 1:43 = 6:00 - 0:13 = 05:47The answer is:
5*100 + 47 = 547Rewrite the equation in slope-intercept form. Then identify the slope and the y intercept of the line
4x + y = 1
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x + y = 1 ( subtract 4x from both sides )
y = - 4x + 1 ← in slope- intercept form
with slope m = - 4 and y- intercept c = 1
