1.
[tex]f(x)=\dfrac1{x-1}=\dfrac1{x-1}+0[/tex]
x-1 = 0 for x = 1
so:
Vertical asymptote: x = 1
Domain: Dom f = R\{1} {or: Dom f = (-∞, 1)∪(1, ∞)}
Horizontal asymptote: y = 0
Range: Ran f=R\{0} {or: Ran f = (-∞, 0)∪(0, ∞)}
2.
[tex]f(x)=\dfrac{-1}{x}+4=\dfrac{-1}{x-0}+4[/tex]
x-0 = 0 for x = 0
so:
Vertical asymptote: x = 0
Domain: Dom f = R\{0} {or: Dom f = (-∞, 0)∪(0, ∞)}
Horizontal asymptote: y = 4
Range: Ran f=R\{4} {or: Ran f = (-∞, 4)∪(4, ∞)}
3.
[tex]f(x)=\dfrac{1}{x+3}-3[/tex]
x+3 = 0 for x = -3
so:
Vertical asymptote: x = -3
Domain: Dom f = R\{-3} {or: Dom f = (-∞, -3)∪(-3, ∞)}
Horizontal asymptote: y = -3
Range: Ran f=R\{-3} {or: Ran f = (-∞, -3)∪(-3, ∞)}
4.
[tex]f(x)=\dfrac{-1}{x+5}-6[/tex]
x+5 = 0 for x = -5
so:
Vertical asymptote: x = -5
Domain: Dom f = R\{-5} {or: Dom f = (-∞, -5)∪(-5, ∞)}
Horizontal asymptote: y = -6
Range: Ran f=R\{-6} {or: Ran f = (-∞, -6)∪(-6, ∞)}
4.
[tex]f(x)=\dfrac{-1}{x+1}+3[/tex]
x+1 = 0 for x = -1
so:
Vertical asymptote: x = -1
Domain: Dom f = R\{-1} {or: Dom f = (-∞, -1)∪(-1, ∞)}
Horizontal asymptote: y = -6
Range: Ran f=R\{3} {or: Ran f = (-∞, 3)∪(3, ∞)}
5.
[tex]f(x)=\dfrac{1}{x+4}-2[/tex]
x+4 = 0 for x = -4
so:
Vertical asymptote: x = -4
Domain: Dom f = R\{-4} {or: Dom f = (-∞, -4)∪(-4, ∞)}
Horizontal asymptote: y = -2
Range: Ran f=R\{-2} {or: Ran f = (-∞, -2)∪(-2, ∞)}
Which value of x is a solution of the inequality 25x - 100 < 250?
Answer:
inequality form: x<14
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
The solution of the given inequality is set of all x such that x < 14.
What are Inequalities?Two or more expressions connected with symbols of inequality like ≥, ≤, > and < is called the inequalities.
There are different kinds of inequalities like polynomial inequalities which includes linear inequalities and quadratic inequalities, rational inequality and so on.
Linear inequalities will have the highest degree of the variable equals 1.
Given a linear inequality,
25x - 100 < 250
Adding both sides of the inequality with 100,
25x - 100 + 100 < 250 + 100
25x < 350
Dividing both sides of the inequality by 25,
25x / 25 < 350 / 25
x < 14
Hence the value of x in the inequality is all the values of x which are less than, < 14.
To learn more about Inequalities, click on the link given here :
https://brainly.com/question/20383699
#SPJ2
Caleb's phone has a 45% charge. Each minute (t) that passes, the battery charge decreases 3%. Write
an equation to represent the percentage of battery charge after t minutes.
Answer:
f(t) = -.03t + 0.45
Step-by-step explanation:
Taylor purchased 9 pints of ice cream for a party. If each guest will be served exactly 1 2 2 1 pint of ice cream, how many guests can Taylor serve?
Complete question :
Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve
Answer:
15 guests
Step-by-step explanation:
Given that:
Total pints of icecream = 9 1/2
Fraction of ice cream pints per guest = 3/5 pints
Number of guest that can be served :
Total pints / fraction per guest
9 1/2 ÷ 3/5
19/2 * 5/3
95 / 6
= 15.8 guest
Hence, greatest Number of guest that can be served = 15
please help me with this its timed first person to give me correct answer gets 25 points
Answer:
8. 14 for the third question.
9. 18 for the forth question.
Step-by-step explanation:
the third and forth orange equations.
please answer this 4 me , 50 points <3
Researcher were testing out a new antibiotic on a certain bacteria. They started with 38,000 bacteria. After one treatment with antibiotics, 33,820 were left. After a second treatment, 30,100 bacteria were left. How many bacteria will be left on day 27
Answer:
1836 bacteria
Step-by-step explanation:
Now the data is a progression; 38,000, 33,820, 30,100 .........
We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;
r= 33,820/38,000 = 30,100/33,820 = 0.89
So, for a geometric progression;
Un = ar^n-1
Where;
a = 38,000
r = 0.89
n = 27 days
Un = ???
Un = 38,000 * (0.89)^27 - 1
Un = 1836 bacteria
A $50 shirt is on sale for
$42. What percent does the
customer save?
Solve for x!!!!!.....
Find each function value f(-7) if f(x) = 3x + 6
Answer:
-15
Step-by-step explanation:
3*-7=-21+6=-15
Answer:
Step-by-step explanation:
first multiply -7 and 3 since -7 is the element of the function (x)
then you should get (-21)
now add 6 and you answer should be (-15)
y = 5x + 14
what is the CROC (Constant Rate Of Change)?
and how do you know. (please help i've been stuck on this for about an hours now :,). )
Answer:
The answer is 5.
Step-by-step explanation:
Well if you were to graph this equation you'll see that the rise over run would be 5/1 which simplifies to 5.
what is the equation for the following function *remember that the slope is 7/2
f(x) = 7/2x - 2
Step-by-step explanation:
f(x) = mx + b
m being slope
b being y intercept
help me solve please
Answer:
x=78; x=56
Step-by-step explanation:
For the first question we know that the angle is 180 degrees, that means the two angles inside of it have to add up to 180:
102+x=180
Subtract 102 from both sides:
x=78
For the second question we know that the angle is 90 degrees, meaning that the two angles on the inside have to add up to 90:
34+x=90
Subtract 34 from both sides:
x=56
Can somebody please help me with this.!
Answer:
1260
Step-by-step explanation:
First you will need to find the amount of sides of the polygon:
(After looking it is 9)
Each angle of the side of a nonagon is 140 degrees.
Multiply by 9 since you can make 9 triangles:
140 x 9 = 1260
Help and explain please?
For trapezoid JKLM A and B are midpoints of the legs. Find AB.
19
B
M
L
27
C.
23
a
h
35
46
In a bike race Tim rode 7 1/4 miles his teammate Bill rode 8 7/8 how many miles did they ride in all
HELP I NEED HELP IMIDIETLY SORRY I CANT SPELL IM SO CONFUSED
Answer:
I'm pretty sure you need more information, but I could be wrong
Step-by-step explanation:
Answer:
it's 74
Step-by-step explanation:
A and C are supplementary, that means that they add up to 180.
We know that A is 106, so if we take 180 and subtract 106 from it, we get 74.
Identify the correct corresponding parts
Answer:
The correct corresponding part is;
[tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]
Step-by-step explanation:
The information given symbolically in the diagram are;
ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)
Segment [tex]\overline {CA}[/tex] is congruent to [tex]\overline {CE}[/tex] ( [tex]\overline {CA}[/tex] ≅ [tex]\overline {CE}[/tex])
Segment [tex]\overline {CB}[/tex] is congruent to [tex]\overline {CD}[/tex] ( [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex])
From which, we have;
∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∠B ≅ ∠D by CPCTC
Segment [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] ([tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]) by CPCTC
Segment [tex]\overline {AE}[/tex] bisects [tex]\overline {BD}[/tex]
Segment [tex]\overline {BD}[/tex] bisects [tex]\overline {AE}[/tex]
Therefore, the correct option is [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]
Which point represents the ordered pair (-1.1,0.2)?
Point B
Point A
Point C
A
.
B
Point D
0
Answer: is point B
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is B
5. Which set of ordered pairs below represents a function? 31. {(1,1) (1,- 1) (4,2) (4, -2) (9,3)} b. {(3,4) (3,5) (3,6) (3,7) (3,8) } C. {(2,4) (3,4) (4,4, (5,4) (6,4)} d. {(1,2) (2,3) (3,4) (4,5) (4,6) }
Answer:
C. {(2,4) (3,4) (4,4) (5,4) (6,4)} is a function.
Step-by-step explanation:
Since there is one value of y for every value of x in {(2,4) (3,4) (4,4) (5,4) (6,4)}, this relation is a function.
pleaseeeee helppppppp
Answer:
This is too confusing
Step-by-step explanation:
I don't know how to answer this properly sorry
The ratio copper and zinc in an alloy is 5:7. if the weight of copper is 33.5 g, what is the weight of zinc.?
please answer this question. will give you brainliest. please. ASAP.
Answer:
19.5416g
Step-by-step explanation:
5+7 =12
33.5/12 = 2.7916
2.7916 x 7 = 19.5416g
Step-by-step explanation:
what is the volume of a right circular cylinder with a base diameter of 6m and a height of 5 m
Step-by-step explanation:
35
Does anyone know the answer to these?? Please answer quickly and please don’t joke around .
Select all the equations that have x=4 as the solution *
A 42 = 38 + x
B x + 15 = 19
C 18 = x - 2
D 32 = 36 - x
E 52 - x = 46
Answer:
A B D
Step-by-step explanation:
A 38+4=42
B 4+15=19
C 18= 20-2
D 32= 36-4
E 52-6=46
Find the y intercept of the graph
Answer:
i believe the y intersept is -4
(-3, 11) a solution to the systems of equations: x – 3y = -36 and 3x + 4y = 48
true or false
Answer:
TRUE and FALSE (please look at step-by-step)
Step-by-step explanation:
How to know if it's true or false, you just simply plug in the given numbers to the x and y values.
x = -3
y = 11
for the x - 3y = -36 equation:
-3 -3(11) = -36
-3 - 33 = -36
This equation is true.
for the 3x + 4y = 48 equation:
3(-3) + 4(11) = 48
-9 + 44 = 35
This equation is false.
Need help i will mark brainliest
Answer:
6 sq. in
Step-by-step explanation:
To find area of triangle: base* height *1/2
height needs to be at a 90 degree angle from the base.
In this example, the base is 3 in, and the height is 4 in.
Plug these two into the equation
3 * 4 * 1/2 = 12 * 0.5 = 6
A vegetarian restaurant used 6,680 ounces of spinach last month. This month, with a menu update, it used 10% more than that amount. How much spinach did the restaurant use this month?
Answer:
what subjet is this
Step-by-step explanation:
Substation method
3x + 4y=-22
7x+y=7
Answer:
(2, -7)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -22
7x + y = 7
Step 2: Rewrite Systems
7x + y = 7
Subtract 7x on both sides: y = 7 - 7xStep 3: Redefine Systems
3x + 4y = -22
y = 7 - 7x
Step 4: Solve for x
Substitution
Substitute in y: 3x + 4(7 - 7x) = -22Distribute 4: 3x + 28 - 28x = -22Combine like terms: -25x + 28 = -22Subtract 28 on both sides: -25x = -50Divide -25 on both sides: x = 2Step 5: Solve for y
Define equation: 7x + y = 7Substitute in x: 7(2) + y = 7Multiply: 14 + y = 7Subtract 14 on both sides: y = -7