Answer:
Step-by-step explanation:
x
(f/g)(x) = -----------
x + 1
Notice that x cannot be -1, which would lead to division by zero. Thus, x = -1 is the vertical asymptote. Also notice that if x grows increasingly large, the fraction shown tends towards x/x, or 1, so we know that the horizontal asymptote is y = 1.
Draw a set of x-y axes and graph y = 1 and x = -1. Plot (0, 0). Again, note that the graph of this function never touches/crosses x = -1. So, for (-1, 0) the graph is a curve caught between x = -1 and x = 0 that increases as x increases. For (0, infinity), the graph heads upward at a slow pace and then levels off nearly parallel to y = 1 (the horizontal asymptote).
As x increases from left to right, y starts out slightly greater than y = 1 and then (while still in Quadrant II) curves upward and approaches the vertical asymptote x = -1.
find the range 15,2,3,7,8,4,3,2,16,2,4
Answer:
Your range will be about 14.
Answer:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is
16-2= 14
14
A college professor hands out a list of 10 questions, 5 of which will appear on the final exam for the course. One of the students taking the course is pressed for time and can prepare for MATH 270 Assignment 2 W. Li 2 only 7 of the 10 questions on the list. Suppose the professor chooses the 5 questions at random from the 10. a) What is the probability that the student will be prepared for all 5 questions that appear on the final examination
Answer:
21 / 252
Step-by-step explanation:
Recall : nCr = n! ÷ (n-r)!r!
The total possible outcome ; 5 questions out of 10
10C5 = 10! ÷ 5!5! = (10*9*8*7*6)÷(5*4*3*2*1) = 252
Required outcome :
All 5 questions set being from the 7 questions covered and 0 from the 3 left uncovered
7C5 * 3C0
7C5 = 7! ÷ 2!5! = (7*6) ÷ (2*1) = 21
3C0 = 3! ÷ 3!0! = 1
Probability = required outcome / Total possible outcomes
P(All 5 questions prepared for appears) :
[7C5 * 3C0] ÷ 10C5
(21 * 1) / 252
= 21 / 252
please help what is .25?
Answer:
0.25 is a decimal
Step-by-step explanation:
i need help which one is the following is correct formula to find slope
Answer:
a
Step-by-step explanation:
The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π
Answer: √ 4A /π or 13.996450848446
Step-by-step explanation:
D = 2R
C = 2πR
A = πR2
where:
R: Radius
D: Diameter
C: Circumference
A: Area
π: 3.14159
Help me please it's 2:00 in the morning and I really need your help with this assignment I have to submit them because the school will be off on June 05 so I have to complete my missing works:( please help
Answer:
x = 4
Step-by-step explanation:
Here, given that the two triangles are similar, we want to find the value of x
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
Thus, we have it that;
ED/EF = XY/YZ
5/2x-1 = 10/14
14(5) = 10(2x-1)
70 = 20x -10
70 + 10 = 20x
20x = 80
x = 80/20
x = 4
Here are the scores that Jenna has
received on her seven quizzes.
16, 11, 20, 16, 12, 17, 18
What is the upper quartile?
Answer:
18
Step-by-step explanation:
median = 16
lower quartile = 12
upper quartile = 18
Find the derivative of f(x) =( -7/x) at x = -3.
pls help !!
Answer:
[tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Derivative of a constant is a 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \frac{-7}{x}[/tex]
[tex]\displaystyle x = -3[/tex]
Step 2: Differentiate
Quotient Rule: [tex]\displaystyle f'(x) = \frac{\frac{d}{dx}[7]x - \frac{d}{dx}[x](-7)}{x^2}[/tex]Basic Power Rule: [tex]\displaystyle f'(x) = \frac{(0)x - x^{1 - 1}(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - x^0(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - 1(-7)}{x^2}[/tex]Multiply: [tex]\displaystyle f'(x) = \frac{0 + 7}{x^2}[/tex]Add: [tex]\displaystyle f'(x) = \frac{7}{x^2}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle f'(-3) = \frac{7}{(-3)^2}[/tex]Evaluate exponents: [tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
HELP ME PLEASE I DON'T UNDERSTAND
Answer:
For #9 it can be 4,6, or 7
#10 is angle 3
#11 is 134
#12 is 49
Step-by-step explanation:
#9 just look at the picture given and see which one is opposite from it
#10 look at which one is beside it but that the ’half‘ circles are facing each other
#11 and #12 subtract the angles they give you and see if they are next to each other and if they are that subtract the number they give you by 180-the degrees of a line
HElp please i really need help 100
points
Answer:
yes
Step-by-step explanation:
Answer:
you have to use your own sheet of paper. sorry
The table shows the total profits earned from magazine sales.
select a function that models this situation.
O A.) y = 24x
O B.) y = 10x + 28
O C.) y = 14x + 20
O D.) y = 15x + 10
Best answer is getting brainiest
Answer:
17.8
Step-by-step explanation:
We can find this because we know that to make a cube, we need to do [tex]c*c*c[/tex] or [tex]c^3[/tex]. With this, we can simplify our equation (by taking the root of both sides) to [tex]c=\sqrt[3]{5639.752}[/tex] or 17.8.
12g^2 + 7g^2 simplify
Answer:
19g^2
Step-by-step explanation:
Answer:
144 I think????? ????????
Rita buys 8 bottles of water. Each bottle contains 1.8 L of water.
Rita says she bought a total of 14.4 L of water.
Use estimation to show that her answer is reasonable.
Drag the numbers into the boxes to complete the number sentence.
_____x______= L
1 2 8 15 16 20 120 160
Answer:
Equation: 2 x 8 = 16
Step-by-step explanation:
1.8 ≈ 2
8 ≈ 8
2 x 8 = L
L = 16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Someone help please, I’ll give you brainlist!
Answer:
it is a 1
Step-by-step explanation:
Last one please help my brain can’t take this
Answer:
first option 7.331 × 10^6
Answer:
7.331×10E6
( E means the exponent just letting u know :)
f(x)=7x-2 g(x)=x2+1 h(x)=3x (x at the corner of 3 ) a- find gh(2) b- find f-1(x)
Answer: 37, [tex]\frac{x+2}{7}[/tex]
Step-by-step explanation:
Given
[tex]f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x[/tex]
now,
[tex]g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1[/tex]
for x=2
[tex]g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37[/tex]
Inverse of [tex]f(x)[/tex] is given by
[tex]y=7x-2\\x=\dfrac{y+2}{7}\\\\f^{-1}(x)=\dfrac{x+2}{7}[/tex]
The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? (4 points) negative 1 over 2 −2 2 1 over 2
Answer:
answer 1/2
Step-by-step explanation:
y-3=-2(x-4)
y-3=-2x+8
y=-2x+11
y=mx+c
m= slope which is -2
because it perpendicular It became 1/2
Triangles ABC and DEF are similar. Explain why
AB
BC
DE
EF
Given an example of possible side lengths for segments AB, BC, DE and
EF. Write a coherent explanation using domain specific vocabulary to
justify why these side lengths are reasonable.
B
D
А
Answer:
Triangles ABC and DEF are similar. Explain wh
Step-by-step explanation:
They are the same shape it's just one is smaller one is bigger
Which inequality represents the number of miles Ellie rides during her school break?
O A. m > 20
B. m > 20
C. m < 20
D. m < 20
Answer:
Hello! Your answer would be BELOW
Step-by-step explanation:
A)
D)
Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥
If
the volume of a
cube is 3375 cm3,
find
its
height
and base
Answer:
If it is a cube then its height and base are equal which is the cube root of 3,375 or 15
Step-by-step explanation:
There are four cards numbered 1 through 4. The number 2 card is chosen randomly and not replaced. Find the probability of choosing a second card that is the number 3.
Answer:
1/3
Step-by-step explanation:
since number 2 card was not replaced, we have;
probability of picking a second card, 3;
let S be number of sample space
n(S)= 4
n(3)= 1
Pr(3/2)= 1/3
(because since one was already chosen and n, the sample space would reduce)
Please help!
Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume of a sphere 4 000 3 cm.
Answer:
Step-by-step explanation:
cylinder's height=3×(diameter of sphere)=3×6=18 cm
radius of cylinder=3 cm
volume of cylinder=π r²h=π(3)²×18=162 π cm³
volume of sphere=4/3 π(3)³=36 π cm³
reqd. empty space=162 π-3×36π=54 πcm³
1200 bricks each of 0.075m3 volume are required to construct a wall of length 25m and height 9m. Find the breadth of the wall.
Here's the solution,
Volume of wall :
=》total bricks × volume of each brick
=》1200 × 0.075 m³
=》90 m³
volume of wall :
=》lenght × width × height
=》25 × 9 × width
=》225 × width
now, by equating the volumes, we get
( since they are volume of same wall )
=》225 × width = 90
=》width = 90 ÷ 225
=》width of wall = 0.4 m
Jasmine, Georgia, and Olivia are in boats on a lake. Their relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the nearest whole number.
ft
Answer:
52ft
Step-by-step explanation:
Brainlyess
In order to find the percentage of households in a town that own more than one vehicle, a survey asks 1000 randomly selected drivers at a gas station how many vehicles are owned in their household. From the results of the survey, it is reported that 67% of households in the town have more than one vehicle. Why is this report biased?
Answer options with 4 options
A.A random sample was used.
B.The sample size was too small.
C.A survey should not have been used.
D.Households without a vehicle were not surveyed.
The bias in the report is that households without a vehicle were not surveyed.
• A bias in a statistical research may be occur when the sample used is not entirely representative of the population. The research carried out above was to evaluate the number of households with more Than one car, the sampling frame should not only include the households with cars but the entire household in the town.
• The fact that the random sample were Drivers at the gas station, exempts those households without cars because those without cars cannot drive to a gas station.
• The sample is sufficiently large.
The scenario also states that, the samples were chosen randomly.
Hence, the bias is that household without cars were exempted from the survey.
Learn more : https://brainly.com/question/24393604
how to solve this plzzzzz mark you brinlast
Step-by-step explanation:
S)
4k²-1=63
4k²=63+1
4k²=64
k²=64/4
k²=16
k=√64
k=8
The vertex angle of an isosceles triangle is three times the measure of either base angle. Find the area if the measure of the congruent sides are 14 in
Answer:
[tex]Area = 93.21in^2[/tex]
Step-by-step explanation:
Given
[tex]\theta \to[/tex] vertex angle
[tex]\alpha \to[/tex] base angle
[tex]\theta = 3\alpha[/tex]
[tex]l = 14in[/tex] -- congruent sides
Required
The area of the triangle
First, calculate the angles
[tex]\theta + \alpha + \alpha = 180^o[/tex] ----- angles in an isosceles triangle
Substitute [tex]\theta = 3\alpha[/tex]
[tex]3\alpha + \alpha + \alpha = 180^o[/tex]
[tex]5\alpha = 180^o[/tex]
Divide both sides by 5
[tex]\alpha = 36^o[/tex]
Recall that: [tex]\theta = 3\alpha[/tex]
[tex]\theta = 3 * 36^o[/tex]
[tex]\theta = 108^o[/tex]
The area is then calculated as:
[tex]Area = \frac{1}{2}l^2 \sin(\theta)[/tex]
[tex]Area = \frac{1}{2}*14^2 \sin(108^o)[/tex]
[tex]Area = \frac{1}{2}*196 *0.9511[/tex]
[tex]Area = 93.21in^2[/tex]
Write an equation for..
“The child’s tickets cost $4 each and the adult’s ticket cost $8 each. Write an equation that would represent the total cost, T, of purchasing a child’s tickets, c, and an adult’s tickets, a.”
Answer:
cxa=t cause you are mulltipling to find the total cost
Answer:
Step-by-step explanation:
A child´s ticket costs $4 and adults ticket costs $8. If we want one of each we need to add both numbers together, 4 plus 8 equals 12. The total cost of a child ticket and an adult ticket is $12.
The questions asked to write an equation; the equation would be:
C+A=T it could also be written as A+C=T, T=A+C or T=C+A.
Lilbabyonme hahahahahahahahahahahahay
Answer: ghrhuydduyfgjrguh
Step-by-step explanation:
jcjdmsjskskms
jsjsksjsmsjdjskaowkdndnd
jsjsksisjsjdhdjeiwksjd