Rewrite the numerator as
x ² + 3x + 5 = (x - 1/2)² + 4 (x - 1/2) + 27/4
Then
(x ² + 3x + 5) / (2x - 1) = 1/2 × (x ² + 3x + 5) / (x - 1/2)
… = 1/2 × ((x - 1/2)² + 4 (x - 1/2) + 27/4) / (x - 1/2)
… = 1/2 × ((x - 1/2) + 4 + 27 / (4 (x - 1/2)))
… = 1/2 x + 7/4 + 27 / (8 (x - 1/2))
which clearly has a non-removable singularity at x = 1/2, which is to say this function has a domain including including all real numbers except 1/2.
For every number other than x = 1/2, the function takes on every possible real numbers, since 1/2 x + 7/4 alone takes on all real numbers.
So:
domain = {x ∈ ℝ | x ≠ 1/2}
range = {x ∈ ℝ}
The manager of a school store orders 250 pencils at the beginning of the
school year to sell to students. The function f(x) = 250 – 7x represents the
number of pencils remaining after I days of school.
How many pencils are remaining after 14 days of school?
Answer:
152 pencils remain after 14 days of school.
Step-by-step explanation:
Replace x in this formula with 14 (14 days):
f(14) = 250 - 7(14) = 250 - 98 = 152
152 pencils remain after 14 days of school.
Answer:...
Step-by-step explanation:
Can someone solve for me please? Simply each expression. I myst show work
Answer:
37/20y
you find LCM first
A school principal wants to find out what the students think about the teaching
quality in the school. Which of these samples is unbiased?
Explicit formula for an, the nth term of the sequence 48,12,3,...
Answer:
a(n) = 48*(1/4)^(n - 1)
Step-by-step explanation:
Here the first term, a(1), is 48 and the common ratio is r = 1/4.
Thus, the specific formula for the information given is
a(n) = 48*(1/4)^(n - 1)
Use r = 2
When r + 4(2 + r) – 12 =
Answer:
6
Step-by-step explanation:
2+r=4
4x4=16
16+r=18
18-12=6
Answer:
6
Step-by-step explanation:
r + 4(2 + r) - 12 =
2 + 4(2 + 2) - 12 =
2 + 4(4) - 12 =
2 + 16 - 12 =
18 - 12 =
= 6
I don’t understand how to solve this question
Answer:
142
Step-by-step explanation:
if m angle A = 109, then arc DCB = 2(109)= 218
360 - 218 = 142
Rashon left his house to go
to his office. He walked 30 m east and 40 m north.
How far is Rashon's office
from his house?
Answer:
70
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
Hello! please help ! Find the exact perimeter of hexagon A B C D E F plotted below.
Answer:
23 + [tex]\sqrt{29}[/tex] + [tex]\sqrt{58}[/tex]
Step-by-step explanation:
Help this is due in 2 minutes
Answer:
a) 3000(1 + 0.02)^16
Step-by-step explanation:
GIVING BRAINLIEST!!!!!!!
Two numerical patterns are shown below:
Pattern A: 6, 12, 18, 24, 30
Pattern B: 12, 24, 36, 48, 60
Select the statement that describes the numerical patterns.
The rule for Pattern B is "multiply by 2."
The rule for Pattern A is "multiply by 2."
Each term in Pattern B is one half the corresponding term in Pattern A.
Each term in Pattern A is one half the corresponding term in Pattern B.
Answer:
ITS A
i took the quiz :)
Step-by-step explanation:
The two true statements are:
The rule for Pattern B is "multiply by 2."
Each term in Pattern A is one-half the corresponding term in Pattern B.
Wich statements are the correct ones?
Here we have two patterns:
Pattern A: 6, 12, 18, 24, 30Pattern B: 12, 24, 36, 48, 60First, let's analyze the patterns. For pattern A we can see that we just add 6 to each consecutive term, so this is an arithmetic sequence.
6 + 6 = 12
12 + 6 = 18
18 + 6 = 24
And so on.
For pattern B we multiply each term by 2 to get the next one, so this is a geometric sequence.
2*12 = 24
2*24 = 48
and so on.
Then we already can see that. "The rule for Pattern B is "multiply by 2." Is true
And:
The rule for Pattern A is "multiply by 2." is false.
Finally, let's compare the terms. The first term of B is 12, and the first ter of A is 6, so we can see that the first term of B is two times the first one of A. The second term of B is 24, while the second of A is 12, so again, we can see that the second term of B is two times the second of A.
So we can see a pattern, meaning that the statement: "Each term in Pattern A is one-half the corresponding term in Pattern B."
Is true.If you want to learn more about sequences, you can read:
https://brainly.com/question/7882626
Write both an explicit equation and a recursive equation for the sequence 4, 2, 1.0.5.0.25
help pleasee
Answer:
Step-by-step explanation:
This is a geometric sequence with first term a1 = 2 and common ratio r = 0.5.
an = a1 r^^n-1)
an = 2(0.5)^(n-1).
Recursive equation:
an = 0.5a(n-1) where n > 2
does anyone know what lazor wulf is? if so send me a picture
Answer:
I think its like a cartoon or something like that
https://hbomax-images.warnermediacdn.com/images/GXyniGAhmEcJZOgEAAABz/tileburnedin?size=1280x720&format=jpeg&partner=hbomaxcom&productCode=hbomax&host=artist.api.cdn.hbo.com&w=1200
there image I think
What is the length of X to Y
answers r
Answer:
8.6
Step-by-step explanation:
PLEASE QUICK
The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.
v (c) = 20,000(0.88)
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary.
Initial value:
Value after 11 years:
9514 1404 393
Answer:
initial value: $20,000after 11 years: $4,902Step-by-step explanation:
Assuming your equation is ...
v(t) = 20,000(0.88^t)
The value for t=0 is 20,000.
The value for t=11 is 20,000(0.88^11) ≈ 4,902.
The initial value is $20,000; the value after 11 years is $4,902.
Look at screen shot below
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Answer:
1st option is the correct answer
pls help fast
Alyssa wants to buy a computer for $600. If she
pays $75 now and $25 each month, she can pay
for it in 21 months. If she were to pay $75 now
and $35 each month, how would the number of
payments change?
A She would make 15 fewer monthly payments.
B She would make 3 fewer monthly payments.
C She would make 5 fewer monthly payments.
D She would make 6 fewer monthly payments.
Answer:
D
she would make 6 fewer monthly payments
Step-by-step explanation:
:)
What are the solutions to the equation (2x – 5)(3x – 1) = 0?
x = 5/2 or x = 1/3
C is the answer.
Answer:
x = 5/2 or x = 1/3
Step-by-step explanation:
Simplify
( 2 x − 5 )( 3 x − 1 ) .
6 x 2 − 17 x + 5 = 0
Use the quadratic formula to find the solutions.
[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
Substitute the values a = 6 , b = − 17 , and c = 5 into the quadratic formula and solve for x .
17 ±sqrt(-17)^2-4*(6*5)
_________________
2*6
Simplify.
x = 17 ± 13 /12
The final answer is the combination of both solutions.
x = 5 /2 , 1 /3
find the value of x an y
Answer:
x=46
Step-by-step explanation:
● The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distance travelled by their tips in 2 days.
Class - 10th
No spam ❌
Juniors stay away ~
Step by step explanation please
Step-by-step explanation:
short hand radius = 4
distance travellled in 1 day revolution = 2πr= 2 x 22/7 x 4= 25.1cm (approx)
distance travellled in 2 day revolution= 25.1+ 25.1 = 50.2
long hand radius= 6
each hour 1 revolution by long hand so in 24 hr 24 revolutions and 48 he 48 revolution
distance travelled in 1 hr = 2πr= 2 x 22/7 x 6= 37.7
distance in 48hr = 37.7 x 48= 1809.6 (approx)
so sum of both= 1809.6 + 50.2 = 1859.8
Answer:
1910.12 cm
Step-by-step explanation:
2 days = 48 hrs = 2880 mins
One cycle of the short hand (4 cm) would be 12 hrs.
48/12 = 4 cycles
Circumference of a circle = [tex]2\pi r[/tex]
r = 4 cm
2*pi*4 ≈ 25.13 cm (I only rounded to the hundredth, adjust as u need)
25.13 * 4 = 100.52 cm
One cycle of the long hand (6 cm) would be 60 mins (which is 1hr and two days would be 48hrs or 48 cycles. But let's keep this consistent).
2880/60 = 48 cycles
Circumference of a circle = [tex]2\pi r[/tex]
r = 6 cm
2*pi*6 ≈ 37.70 cm (I only rounded to the hundredth, adjust as u need)
37.70 * 48 = 1809.6
100.52 + 1809.6 = 1910.12 cm
^^ I'm not a junior I'm a senior so lol
A standardized test is designed so that scores have a mean of 50 and a standard deviation of 4.
What percent of scores are between 46 and 54?
Answer:
68.3%
Step-by-step explanation:
Using the relation :
Zscore = (x - Mean) / standard deviation
For, x between 46 and 54
Zscore = ((54 - 50) / 4) - ((46 - 50) / 4)
P(Z < 4/4) - P(Z < -4/4)
P(Z < 1) - P(Z <-1)
0.84134 - 0.15866
= 0.68268
= 0.68268 * 100%
= 68.3%
Answer:
A standardized test is designed so that scores have a mean of 50 and a standard deviation of 4. What percent of scores are between 42 and 58?
Step-by-step explanation:
about 95.4%
please help!!!No links
Answer:
is 53
heart if it helped brain if im cooll
According to the line of best fit, if a batter practices 0 hours, about how many strikeouts did they have?
Solve the equation 2x + 9 = -15
Please and thank you!!
Find the surface area of a sphere with a diameter of 14
Answer:
SA = 615.44
Step-by-step explanation:
d = 14
r = d/2
r = 7
SA of a Sphere:
SA = 4πr²
SA = 4(3.14)(7²)
SA = 4(3.14)(49)
SA = 12.56(49)
SA = 615.44
What percent of 315 is 63?
Answer:
20%
Step-by-step explanation:
Write the problem as a mathematical expression.
63/315
Convert to decimal
0.2
Times by 100
0.2 times 100
20%
A pair of shoes costs $60, and is on sale for 35% off. What is the sales price of the shoe
Answer:
$39
Step-by-step explanation:
The ordinate of every point on the x-axis is zero. True or false?
Answer:
true
Step-by-step explanation:
the first number is mostly known as 1 but actually is 0 because it is a separation between the negative and positive numbers
Each row contains the degree measures of two supplementary angles. Complete the table.
the measure of an angle measure of its supplement
80°
°
25°
°
119°
°
x
°
(From Unit 7, Lesson 2)
Answer:
Step-by-step explanation:the answer will be 100
Solve for x using the diagram of circle C.
B В.
(3x+49)
(5x-7)
Answer:
googl it
Step-by-step explanation:
its on googl and it has the anwser
|x+5|=x
Solve these equations
Answer:
do yourself a favor and download photomath. It'll save your life
Step-by-step explanation: