s(x) is continuous and has a horizontal asymptote at y = -9
We know that we have a function r(x) that has a horizontal asymptote at y = -8
Then, what can we say about the function s(x) = r(x + 2) - 1 ?
Ok, first remember that a horizontal asymptote means that as x, the variable, increases (or decreases), the function eventually tends to a given value, but never actually reaches it.
So as x tends to infinity, we should see an almost horizontal line that tends to y = -8.
So if that happens when x tends to infinity, the same thing will happen when x + 2 tends to infinity, because that "+2" does not add a lot.
Then is easy to conclude that:
r(x + 2) also has a horizontal asymptote at y = -8
And our function is:
s(x) = r(x + 2) - 1
So we are subtracting one, then that horizontal asymptote will be at:
y = -8 - 1 = -9
The function s(x) has a horizontal asymptote at y = -9
And because r(x) is continuous, then:
s(x) = r(x + 2) - 1
is also continuos, as there is nothing added that could change the continuity (we do not have any zero in the denominator or something like that)
Then the correct option is D.
"s(x) is continuous and has a horizontal asymptote at y = -9"
If you want to read more, you can see:
https://brainly.com/question/4084552
PLEASE HELP WILL GIVE BRAILNLIEST! Find the value of x
Answer:
x = 14.63
Step-by-step explanation:
Felix is now six times as old as Debbie. In twelve years time Felix will be two times as old as Debbie. How old are they
Step-by-step explanation:
let debbie be x years
let felix be 6x years
in 12 years felix will be 2x older than debbie
do the calc
Match each equation to its graph. Use the drop-
down menus to describe the equations.
Answer:
D. y=x+1 Linear
A. y=x^2 Quadratic
B. y=(3/2)^x Exponential
C. y=x^2+2/x^2-2 Rational
Step-by-step explanation:
got it right :)
The correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C What is a linear equation?The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.
For example y=2x+3
What is a quadratic equation?The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.
For example, y=3x²
Here given that the functions are given in the figure and we have to identify the appropriate graph.
Checking all the equations individually
y=x+1 the correct option for this equation is Option D as it is a linear equation that represents a straight line.y=x² the correct option for this equation is Option A as it is a quadratic equation that represents a parabola.y=(3/2)ˣ the correct option for this equation is Option B as it is an exponential equation that represents an exponential graph such as the graph of y=aˣ.y=(x²+2)/(x²-2) the correct option for this equation is Option C as from the equation it is clear that it is symmetrical about the y-axis and it is negative for the value x²<2⇒ -√2<x<√2 which matches with the graph in Option D.Therefore the correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option CLearn more about linear equation
here: https://brainly.com/question/14323743
#SPJ2
Graph the line that passes through the points (-5,1) and (5, -5) and determine the equation of the line.
Answer:
y = -3/5x - 2
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - 1 / 5 - (-5)
-6/ 10
= -3/5
y = -3/5x + b
1 = -3/5(-5) + b
1 = 3 + b
-2 = b
8a^3-36a^2+54a-27-64p^3
Answer:
8a^3-64p^3-36a^2+54a-27
Step-by-step explanation:
since it no common variable so it can not be further solved
Which best describes the relationship between the line that
passes through the points (1, -6) and (3,-2) and the line that
passes through the points (4,8) and (6, 12)?
A. parallel
B. same line
C. neither perpendicular nor parallel
D. perpendicular
How many dimes are there in four hundred
and sixty-seven million dollars?
Answer:4,670,000,000
Step-by-step explanation:
You just have to multiply 467,000,000 by 10
Answer:
4,670,000,000
Step-by-step explanation:
multiply by 10
Point T is on line segment SU. Given ST = 4x – 4, TU = 4x – 10, and
SU = 5x + 1, determine the numerical length of TU.
Answer: TU =
Find the slope, if it exists. 5x - 7y = 14 Select the correct choice below and fill in any answer boxes within your choice.
A. The slope is (Type an integer or a simplified fraction.)
B. The slope is undefined.
Answer:
5/7
Step-by-step explanation:
5x-7y=14
-7y=14-5x
y=-2+5/7x
y=5/7x-2
This slope is 5/7. This is because in the standard form of a line (y=mx + b), m represents the slope. In the equation above, 5/7 is the slope.
What is the slope of the graph?
points are
(0,3)(1,0)[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{0-3}{1-0}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-3}{1}[/tex]
[tex]\\ \sf\longmapsto m=-3[/tex]
13. Which equation represents the line below?
A. y = -x +3
B. y = 2x - 6
c. y = -x + 4
D. y = 1/2x -3
Answer:
y = -2/3x + 3
Step-by-step explanation:
First, we need to calculate the slope of the line. We can do this by using the slope formula using two points:
(y₂ - y₁) / (x₂ - x₁)
If we take the points (-3,5) and (3,1), then: y₂ = 1; y₁ = 5; x₂ = 3; x₁ = -3
Next, we can substitute in values in the equation above to get (1 -5)/(3+3)
** We got 3+3 because it was 3 - (-3), where two negatives equal a positive**
Then, we get, -4/6, which simplifies to -2/3. Our slope is -2/3
After that, we need to find the y-intercept, which is where the line intercepts the y-axis. Here, that is at (0,3).
Therefore, if we put the above information into slope-intercept form:
y = mx + b --> m = -2/3; b = 3
y = -2/3x + 3
Though I don't think that answer choice is there...
0.007407 in standard form
Step-by-step explanation:
To convert 0.007407 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 7.407, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 7.407 × 10-3
i think this may help you tq
A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement. Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $250 and the more expensive sofa is $450
Answer:
$290
Step-by-step explanation:
We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.
Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.
Thus;
P(x) for expensive sofa = 1/5
P(x) for sofa in sale advertisement = 4/5
Thus, expected value is;
E(X) = (1/5)450 + (4/5)250
E(x) = 90 + 200
E(x) = $290
Answer:
The average cost of a sofa = [tex]\$290[/tex]Step-by-step explanation:
Cost of advertised sofa = [tex]\$250[/tex]
Cost of more expensive sofa = [tex]\$450[/tex]
So, the average cost of sofa,
[tex]E(x) = (450*\frac{1}{5})+ (250*\frac{4}{5})\\\\E(x) = 90 + 200\\\\E(x) = 290[/tex]
Hence,
The average cost of a sofa = [tex]\$290[/tex]
For more information, visit
https://www.bartleby.com/questions-and-answers/question-13-a-furniture-store-is-having-a-sale-on-sofas-and-youre-going-to-buy-one.-the-advertisers-/61410cf1-5b19-4491-9893-42336374e48e
Which of the following statements is false?
A. A rectangle is a parallelogram.
B. A rhombus is a parallelogram.
C. The height of a trapezoid is the distance between its bases.
D. Given quadrilateral ABCD, AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are adjacent
to Answer:
D is false
Step-by-step explanation:
AB and CD are not adjacent.
AB is adjacent to BC and AD but not to CD.
Someone please help fasttt!!
Answer:
the slope is -1/4 throughout the line.
Step-by-step explanation:
the slope of a line never changes anywhere on the line. otherwise it would not be a line.
the slope is expressed by the ratio y/x indicating how many units y changes, when x changes by a certain number of units.
and in this graphic, when x changes 4 units to the right (positive), y changes 1 unit down (negative).
therefore -1/4
Answer:
3rd option
Step-by-step explanation:
The line has the same slope over the whole line
Calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = O (0, 0) and (x₂, y₂ ) = B (- 12, 3)
m = [tex]\frac{3-0}{-12-0}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex]
The slope is - [tex]\frac{1}{4}[/tex] throughout the line
Divide. Write your answer as a fraction in simplest form. −2 4/5÷(−7)=
the answer is in the photo
Answer:
2/5
Step-by-step explanation:
[tex] - 2\frac{4}{5} \div ( - 7)[/tex]
[tex] = \frac{2 \times 5 + 4}{5} [/tex]
[tex] = \frac{10 + 4}{5} [/tex]
[tex] = \frac{14}{5} [/tex]
[tex] = - \frac{14}{5} \times 7[/tex]
[tex] = \frac{14}{5} \div 7[/tex]
[tex] = \frac{2}{5} [/tex]
What is – x4 + 2x3 + 6x2 – 10x – 4 divided by X – 2?
Answer:
-x^3 + 6x + 2
Step-by-step explanation:
lets try this again plz help
Answer:
[tex] \frac{x - 6}{3} = 5 \\ x - 6= 3 \times 5 \\ x - 6 = 15 \\ x = 15 + 6 \\ x = 21 \\ thank \: you[/tex]
A package of 15 apples contains two defective apples. Four apples are selected at random, (a) Find the probability that none of the selected apples is defective. (b) Find the probability that at least one of the selected apples is defective.
Combination of n things taken r at a time: nCr
a) combinations of healthy apples/all combinations
=13C4/15C4
=715/1365
=.5238
.
b) 1-.5238=.4762
.
Ed
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
At the Scott wedding, 12 guests sat on the groom's side and 10 guests sat on the bride's side. At the Smith wedding, 13 guests sat on the bride's side and 18 guests sat on the groom's side. Which wedding had a lower ratio of guests of the groom to guests of the bride?
A. not enough information
B. the Smith wedding
C. neither, the ratios are equivalent
D. the Scott wedding
Answer:
D. The Scott Wedding
Step-by-step explanation:
Scott: 12 guests on the groom's side and 10 guests on the bride's side
Smith: 18 guests on the the groom's side and 13 guests on the bride's side
please answer this!!!
Answer:
[tex]BC=40[/tex]
Step-by-step explanation:
Since AC is a tangent and PB is the raduis
[tex]\angle PBC= 9[/tex]
By pythagoras
[tex]PC^{2} =PB^{2} +BC^{2}[/tex]
[tex]41^{2} =9^{2} +BC^{2}[/tex]
[tex]1681-81=BC^{2}[/tex]
[tex]1600=BC^{2}[/tex]
[tex]BC=\sqrt{1600}[/tex]
[tex]BC=40[/tex]
OAmalOHopeO
Answer:
40
Step-by-step explanation:
A tangent to a circle is perpendicular to the radius intersection by definition. That makes BPC a right triangle at B. BP and PD are both equal (9) because every radius of a circle is equal. So
PC**2 = BP**2 + BC**2 or
41**2 = 9**2 + BC**2
1681 = 81 + BC**2
1681 - 81 = BC**2
1600 = BC**2
40 = BC
What are the solutions of x2 - 2x +5 = 0
Answer:
x = -3 or x = -5
Step-by-step explanation:
x (x -2 ) = -5
x = -5 or x = -5+2
x = -3
point O is at a distance named K from the line D. What should be the value of K if we want to find three points that their distance from line D is 4cm and from point O is 6cm?
1)4
2)8
3)2
4)3
and please tell me how to solve this, I'll mark you the brainliest
Answer:
the answer is number 3)2
Step-by-step explanation:
subtract the both
Graph the function need ASAP help
Is it a, b , c or d?
Answer:
D
Step-by-step explanation:
(the line is a / shape, so the slope is positive)
(the line crosses the y axis at (0,-2)
(using the above information, the equation is y=2x-2)
Answer:
y = 2x - 2
Step-by-step explanation:
Start with
y = mx + b
The graph shows the y-intercept -2.
We have y = mx - 2
slope = m = rise/run
The slope is rise of 2 and run of 1, so m = 2.
y = 2x - 2
____×____=126
Fill the blank pls I need it fast
Answer:
Answer for this is 62 * 2 = 126
Step-by-step explanation:
Answer:
14×9=126
Step-by-step explanation:
how do you explain it lol
In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C
Answer:
the answer is the number 6
Given that x : 3 : 9/2 = 15/4 : 4 1/2 : y, find the value of x and y.
Answer:
x = [tex]\frac{5}{2}[/tex] , y = [tex]\frac{27}{4}[/tex]
Step-by-step explanation:
Equate the first 2 parts of the ratios on both sides of the equation and solve for x.
Expressing the ratios in fractional form, then
[tex]\frac{x}{3}[/tex] = [tex]\frac{\frac{15}{4} }{\frac{9}{2} }[/tex] = [tex]\frac{15}{4}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )
6x = 15 ( divide both sides by 6 )
x = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]
-----------------------------------------------------------------------------------
Equate the last 2 parts of the ratios on both sides and solve for y
[tex]\frac{\frac{9}{2} }{y}[/tex] = [tex]\frac{3}{\frac{9}{2} }[/tex] = 3 × [tex]\frac{2}{9}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2y = [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex] ( divide both sides by 2 )
y = [tex]\frac{27}{4}[/tex]
What is the Answer to: 120 Times 2/3
Answer:
80
Step-by-step explanation:
You could multiply by 2 and then divide by 3
120*2 = 240
240/3 = 80
Or you could divide by 3 and then multiply by 2
120/3 = 40
40*2 = 80
Answer:
80Step-by-step explanation:
120 × 2/3= 120/1 × 2/3= 240/3= 80[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
I need help ASAP!!Please be sure that you know the answer
Answer:area is 60, height is 4, and perimeter is 34
Step-by-step explanation:
An angle measures 89.8° more than the measure of its complementary angle. What is the measure of each angle?
Complementary angles always are 90 degrees when added to each other, so:
x = angle 1
x + 89.8 = angle 2
x + x + 89.8 = 90
2x = 90 - 89.8
2x = 0.2
x = 0.1
angle 1 = 0.1 degrees
angle 2 = 0.1 + 89.8 = 89.9 degrees
if you want to check, just sum one to the other and see if they equal 90, like this: 89.9 + 0.1 = 90
