Answer:
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4
Step-by-step explanation:
The given function is presented as follows;
[tex]f(x) = \dfrac{2}{x - 1} + 4[/tex]
From the given function, we have;
When x = 1, the denominator of the fraction, [tex]\dfrac{2}{x - 1}[/tex], which is (x - 1) = 0, and the function becomes, [tex]\dfrac{2}{1 - 1} + 4 = \dfrac{2}{0} + 4 = \infty + 4 = \infty[/tex] therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote
Also we have that in the given function, as x increases, the fraction [tex]\dfrac{2}{x - 1}[/tex] tends to 0, therefore as x increases, we have;
[tex]\lim_ {x \to \infty} \dfrac{2}{(x - 1)} \to 0, and \ \dfrac{2}{(x - 1)} + 4 \to 4[/tex]
Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1
When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, [tex]\dfrac{2}{0 - 1} + 4 = 2[/tex]. When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left
Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
Answer:
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4
Step-by-step explanation:
The given function is presented as follows;
From the given function, we have;
When x = 1, the denominator of the fraction, , which is (x - 1) = 0, and the function becomes, therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote
Also we have that in the given function, as x increases, the fraction tends to 0, therefore as x increases, we have;
Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1
When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, . When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left
Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
Please help with the question
Which set of ordered pairs could be generated by an exponential function?
(negative 1, negative one-half), (0, 0), (1, one-half), (2, 1)
(–1, –1), (0, 0), (1, 1), (2, 8)
(negative 1, one-half), (0, 1), (1, 2), (2, 4)
(–1, 1), (0, 0), (1, 1), (2, 4)
Answer:
(–1, –1), (0, 0), (1, 1), (2, 8) (y = x^2)
(–1, 1), (0, 0), (1, 1), (2, 4) (y = x^3)
Answer:
C
Step-by-step explanation:
please answer this question and attach a photo of your solution
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}[/tex] .
Use distributive property.
[tex]\frac{1}{2}ab*(3a^{2}-5b^{2}a+10a^{2}b)=\frac{1}{2}ab*3a^{2}-\frac{1}{2}ab*5b^{2}a+\frac{1}{2}ab*10a^{2}b\\\\\\[/tex]
[tex]=\frac{3}{2}a^{1+2}b -\frac{5}{2}a^{1+1}*b^{1+2}+5*a^{1+2}*b^{1+1}\\\\\\=\frac{3}{2}a^{3}b-\frac{5}{2}a^{2}b^{3}+5a^{3}b^{2}[/tex]
Flying against the wind, an airplane travels 6060 kilometers in 6 hours, Flying with the wind, the same plane travels 12,150 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?
Let s be the plane's speed in still air and w the wind speed. Then
s - w = (6060 km)/(6 h) = 1010 km/h
s + w = (12,150 km)/(9 h) = 1350 km/h
Adding these equations together eliminates w and lets you solve for s :
(s - w) + (s + w) = 1010 km/h + 1350 km/h
2s = 2360 km/h
s = 1180 km/h
The measure of BAC is 240. What is the ratio of the measure of the major arc to the measure of the minor arc?
What is the simplified form of each expression?
a. (6 + 3)2 − 4
b. 23 + (14 − 4) ÷ 2
A. a. 77
b. 13
B. a. 77
b. 9
C. a. 14
b. 13
D. a. 14
b. 9
Answer:
These kind of questions are called simply.
According to simply, there's a rule of solving which is BODMAS.
BODMAS stand for bracket of Divide, Multiple, Add, Subtraction.
(6+3)2-4> (9)2-4
> 18-4
> 16
• (6+3)2-4 = 16
2. 23+(14-4)÷2
> 23+10÷2
> 23+5
> 28
• 23+(14-4)÷2 = 28
Step-by-step explanation:
Hope it helps you
Q 14. Two friends Tina and Reeta simplified two different expressions during the revision
hour and explained toeach other their simplifications,
V2
Tina explains simplification of Torta by rationalising the denominator and Reeta
explains simplifications of (72 + V3) (12 - 13) by using identity,
i)
Vz
By rationalising the denominator of
Tina got
VSV
vz
a)
c) V5 – 13
b) V7(13-va)
d)
Vic+V5)
2
ii)
Reeta apply
a) (a+b)
identity to simplify(V2 + 13) (12 – 73).
b) (a-b)?
c) (x+a) (x+b) d) (a+b)(a-b)
iii)
(12 + V3) (72 - 73) =
a) 5 b) (74 + 6
c) 1
d) -1
iv)
All the rational and irrational numbers make up the collection of
numbers.
a) Whole numbers
b) Integers
b) c) Real Numbers
d) Irrational Numbers
Answer two questions about Equations A and B:
A. 3(x+2) = 18
B.
r + 2 = 6
1) How can we get Equation B from Equation A?
Step-by-step explanation:
3x+6=18
3x=18-6
3x=12
x=4
Find the value of x. Round to the nearest tenth.
Answer:
[tex]cos\Theta =\frac{adj}{hyp}[/tex]
[tex]cos 32=\frac{12}{x}[/tex]
[tex]x=12/cos32[/tex]
[tex]=14.2[/tex]
[tex]OAmalOHopeO[/tex]
Answer:
[tex]\huge\boxed{x=14.2}[/tex]
Step-by-step explanation:
Use a cosine:
[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]
We have:
[tex]adjacent=12\\hupotenuse=x\\measure\ of\ angle=32^o[/tex]
Look at the picture or use the calculator.
[tex]\cos32^o=0.8480[/tex]
Substitute:
[tex]0.848=\dfrac{12}{x}\\\\\dfrac{0.848}{1}=\dfrac{12}{x}[/tex]
cross multiple
[tex]0.848x=12[/tex]
divide both sides by 0.848
[tex]x=\dfrac{12}{0.848}\\\\x=14.2[/tex]
Ted practices two types of swimming styles for a total of 50 minutes every day. he spends 20 minutes more practicing the breast stroke than the butterfly stroke.
Part A: write a pair of linear equations to show the relationship between the number of minutes ted practices the butterfly stroke every day (x) and the number of minutes he practices the breast stroke every day (y).
Part B: how much time does ted spend on practicing the breast stroke every day?
Part C: is it possible for ted to have spent 45 minutes practicing the butterfly stroke every day? explain your reasoning.
Answer:
see below
Step-by-step explanation:
butterfly = x minutes
breast = y minutes
total is 50 minutes
breast stroke = butterfly +20
Part A
x+y = 50
y = x+20
Part B
Substitute the second equation into the first
x+ (x+20) = 50
2x+20 = 50
2x+20-20 = 50-20
2x = 30
2x/2 = 30/2
x = 15
y = x+20
y = 20+15
y = 35 minutes
35 minutes on the breast stroke
Part C
45 minutes on the butterfly is not reasonable
We only have a total of 50 minutes
50-45 = 5
But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.
Bob placed a 17- foot ramp against the side of a house so the ramp rested on a ledge that is 8 feet above the ground. How far was the base of the ramp from the house?
help please i procrastinated
Answer:
24 + 28 + 21 + 23 = 96
step by step follow
B=x-3/x-1
- rút gọn P=A.B
A
Steliên hợp p-by-step explanaliên hợp ion:
Question 1 (1 point) Saved
The perimeter of an iPad Air is 820 mm. Its length is 100 mm less than twice the
width.
If x= the length of the iPad Air and y= the width of the iPad Air, the linear system of
equations that could be used to model this situations is,
2x+2y=a
bx=cy-d
The value of a is.
1
Ą
The value of b is
N
The value of cis.
3
Ą The value of d is.
4
Anybody knows the answers to the monomial functions ?
Step-by-step explanation:
A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).
Find P(blue and even).
A. 3/5
B. 1/10
c. 7/10
Answer: A. 3/5
Step-by-step explanation:
Assuming that they are colorful blocks,
There are in total 10 blocksThere are in total 2 blue blocksThere are in total 5 even blocksBlue blocks: 1, 2
Even blocks: 2, 4, 6, 8, 10
The net total of blue and even blocks:
2 + 5 = 7 blocksHowever, as we can see from above, the number [2] is repeated in both cases, thus we shall subtract one of them from the total number.
7 - 1 = 6 blocksWe analyzed at the beginning where there are 10 blocks in total. Then, utilizing the probability formula below:
6/10 = 3/5Hope this helps!! :)
Please let me know if you have any questions
please help me asap
(geometry)
Answer:
x is ten
Step-by-step explanation:
9 times ten is 90, then minus 40 is 50, and 3 times ten is 30, plus 20 is 50
HELP ASAPPPP NOWWW PLEASEEE
Answer:
1. x=1
2. x=0
Download gauthmath and it will help
Use trigonometric identities to solve each equation within the given domain.
1 – cos(x) = 2 – 2 sin2(x) from (–π, π) PLEASE SHOW WORK!!!
Recall that
cos²(x) + sin²(x) = 1
Then in the equation
1 - cos(x) = 2 - 2 sin²(x)
we can rewrite as
1 - cos(x) = 2 (1 - sin²(x))
1 - cos(x) = 2 cos²(x)
2 cos²(x) + cos(x) - 1 = 0
Factorize the left side as
(2 cos(x) - 1) (cos(x) + 1) = 0
so that
2 cos(x) - 1 = 0 or cos(x) + 1 = 0
cos(x) = 1/2 or cos(x) = -1
On the interval (-π, π) (note that this interval is open, so we don't allow x = π), we have
• cos(x) = 1/2 for x = π/3 and x = -π/3
• cos(x) = -1 for x = π
find the common difference in the linear sequence sequence 69,53,47,30
Type the correct answer in each box. Given AB is perpendicular to CD
If ℓ ∥ k and k ∥ m, then _____
Answer:
E ||M
Step-by-step explanation:
This is based upon the postulate if A=B and B=C then A=C. picture it like this, you have 3 lines. The top and middle are parallel. The bottom and middle are parallel. so obviously the top and bottom are too
Answer:
l || m
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Drew is filing his tax return as single taxpayer. His taxable income is $39,000. Use the tax table provided to compute Drew's tax due and
effective tax rate.
Single Taxpayers: Income Brackets
Tax Income
Tax Owed
Rate Bracket
1096 O to 9,525 10% of taxable income
9,526 to $952.50 plus 12% of
1296
38,700 the excess over $9,525
$4,453.50 plus 22% of
2296
38,701 to
the excess over
82.500
$38,700
$14,089.50 plus 2496
82.501 to
2496
of the excess over
157.500
$82.500
$32,089.50 plus 3296
157.501 to
3296
of the excess over
200,000
$157.500
$45,689.50 plus 3596
200,001 to
3596
of the excess over
500,000
$200,000
$150,689.50 plus 3796
3796 > 500,000 of the excess over
55
The given tax rates are as follows:
Single Taxpayers: Income Brackets
Tax Income Rate Bracket Tax Owed
O to 9,525 10% 10% of taxable income
9,526 to38,700 12% $952.50 plus 12% of 38,700 the excess over
$38,701 to 82,500 22 % $4,453.50 plus 22% of 38,701 the excess over
82,501 to 157,500 24% $14,089.50 plus 24% of the excess over
157,500
157,501 to 200,000 32% $ 32089.50 plus 32% of the excess over
200,001 to 500,000 35% 45,689.50 plus 35% of the excess over
500,000 > 37% $150,689.50 plus 37% of 500,000 of the
excess over
The taxable income lies in the tax rate range of $38,701 to 82,500.
Therefore the tax would be
$4,453.50 + 22% of (39,000-38,701=299)
$4,453.50 + 22% of 299
$4,453.50 + 65.78
= $ 4519.28
The taxable income lies in the tax rate range of $38,701 to 82,500.
Due and effective tax rate is $4,453.50 plus 22% of 38,701 the excess over
The calculated tax is $ 4519.28
https://brainly.com/question/1105919
https://brainly.com/question/1160723
Answer:
$4,519.50 and 22%
Step-by-step explanation:
i got it right
Your local clothing
store is having a sale
of 50% off on all
purchases. You
bought 2 shirts for $10
each and 1 pair of
pants for $15. What
was your final total
after the discount?
10x2=20
20+15=35
35÷2=17.5
help!! need to find the area
Answer:
10*5 +2(2*2)
50+8
58
Step-by-step explanation:
Answer:
58 units
Step-by-step explanation:
Which choice is equivalent to the expression below?
-27
O A. -3,37
B. 3:45
O C. - 27
O D. -3/3
O E. 343
Answer:
B. 3i√3Step-by-step explanation:
[tex]\sqrt{-27} =[/tex][tex]\sqrt{-1*3*9} =[/tex][tex]3\sqrt{-1} \sqrt{3} =[/tex][tex]3i\sqrt{3}[/tex]Correct choice is B
Answer:
B. 3i√3
Step-by-step explanation:
[tex]\sqrt{-27} = \sqrt{-1*3*3*3}=3\sqrt{-1*3}[/tex]
we have
-1=i²
so
=[tex]3\sqrt{i²*3}[/tex]
=3i[tex]\sqrt{3}[/tex]
Option B.3i[tex]\sqrt{3}[/tex]
The range of a sequence consists of________.
A. functions
B. terms in the sequences
C. negative numbers
D. natural numbers
Answer:
B. terms in sequences
Step-by-step explanation:
When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.
OPTION B is correct.
The range of a sequence consists of terms in the sequences.
We have a statement the range of a sequence consists of.
We have to find which of the given options is a constituent of range of sequence.
What is a sequence?A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.
Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.
Hence, the range of sequence consists of terms of sequence.
To understand more about sequence, visit the link below -
brainly.com/question/21961097
#SPJ2
Find the gradient of the curve y= x^2 - 5x + 6 at x=1
Answer:
Gradient or slope at x=1 is -3
Step-by-step explanation:
[tex]y=x^2-5x+6\\\frac{dy}{dx} =2x-5\\at ~x=1\\\frac{dy}{dx} =2(1)-5=-3[/tex]
Help me plsss! Thank you
Answer:
45/139 green or 20/139 yellow
Step-by-step explanation:
1. Add up total number of candles- thats your denominator
2. The total number of green or yellow candles is your numerator
3. Simplify your fractions if you have to
What value of x will make the equation true?
(Square Root of 5) (square root of 5)=x
Answer:
(2.236067978)(2.236067978)
=5 ans.
If this is incorrect forgive me
I hope this will help you
stay safe