Given f(x) = x + 1 and g(x) = 3x – 5,
what are
the restrictions on the domain when f(x)/g(x)
Answers
Answer:
There will be an asymptote at [tex]x=\frac{5}{3}[/tex], meaning the domain is restricted from (-∞, [tex]\frac{5}{3}[/tex])U([tex]\frac{5}{3}[/tex], ∞).
Step-by-step explanation:
When finding domain restrictions for an equation that has a fraction, take the denominator and set it equal to 0. Then, solve for x:
[tex]3x-5=0[/tex]
[tex]3x=5[/tex]
[tex]x=\frac{5}{3}[/tex]
Then we can determine that there's an asymptote at [tex]x=\frac{5}{3}[/tex] but that is the only restriction.
Related Questions
‼️‼️‼️‼️Please Help I really need to submit this by the end of the day and will automatically give branch to first answer‼️‼️‼️‼️‼️
Answers
Answer:
1. 9 = x
2. y = 2
Just copy these steps on paper, then submit.
Writing it yourself will help you, trust me :)
1. 2(x + 5) = 3x + 1
2(x + 5) = 3x + 1
Distribute the 2
2x + 10 = 3x + 1
-1 -1
2x + 9 = 3x
-2x -2x
9 = x
2. 3y - 4 = 6 - 2y
3y - 4 = 6 - 2y
+4 +4
3y = 10 - 2y
+2y +2y
5y = 10
Divide both sides by 5
y = 10/5
y = 2
What is four fifths mines two thirds sorry for asking
Answers
Answer:
2/15
Step-by-step explanation:
4/5-2/3
Which is the minimum or maximum value of the given function?
51
4
3
21
1P
-5
-4
-3 -2
-1
0
1
21
31
4
5
-1
-3
-41
-5
Answers
Answer:
the minimum value of the given function is -4
Integrating sums of functions
Answers
Answer:
(a) -12
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 Subtraction Property of EqualityCalculus
Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Swapping Limits]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = -\int\limits^a_b {f(x)} \, dx[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = 5[/tex]
[tex]\displaystyle \int\limits^4_{10} {f(x)} \, dx = 8[/tex]
[tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx[/tex]
Step 2: Solve Pt. 1
[Integral] Rewrite [Integration Property - Addition]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = \int\limits^{10}_6 {4f(x)} \, dx + \int\limits^{10}_6 {10} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4\int\limits^{10}_6 {f(x)} \, dx + 10\int\limits^{10}_6 {} \, dx[/tex]Step 3: Redefine
Manipulate the given integral values.
[Integrals] Combine [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^6_4 {f(x)} \, dx + \int\limits^4_{10} {f(x)} \, dx = \int\limits^6_{10} {f(x)} \, dx[/tex][Integral] Rewrite: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = \int\limits^6_4 {f(x)} \, dx + \int\limits^4_{10} {f(x)} \, dx[/tex][Integral] Substitute in integrals: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = 5 + 8[/tex][Integral] Add: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = 13[/tex][Integral] Rewrite [Integration Property - Swapping Limits]: [tex]\displaystyle -\int\limits^{10}_6 {f(x)} \, dx = 13[/tex][Integral] [Division Property of Equality] Isolate integral: [tex]\displaystyle \int\limits^{10}_6 {f(x)} \, dx = -13[/tex]Step 4: Solve Pt. 2
[Integral] Substitute in integral: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10\int\limits^{10}_6 {} \, dx[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(x) \bigg| \limits^{10}_6[/tex][Integral] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(10 - 6)[/tex][Integral] (Parenthesis) Subtract: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(4)[/tex][Integral] Multiply: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = -52 + 40[/tex][Integral] Add: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = -12[/tex]Topic: AP Calculus AB/BC
Unit: Integration
Book: College Calculus 10e
Please help!!!!
Sometimes you need to use FOIL, in order to simplify a radical expression,
Multiplying binomial expressions is very similar to multiplying binomial radicals
Examples:
Answers
Answer:
c) ([tex](6-\sqrt{12} )(6+\sqrt{12} ) = 24[/tex]
d) ([tex](3+\sqrt{8} )(3-\sqrt{8} ) = 1[/tex]
Step-by-step explanation:
Step(i):-
Given that the binomial expression
([tex](6-\sqrt{12} )(6+\sqrt{12} )[/tex]
Multiply
( 36 + 6√12 -6√12 -(√12)²)
= ( 36 -12)
= 24
c) ([tex](6-\sqrt{12} )(6+\sqrt{12} ) = 24[/tex]
Step(ii):-
Given that the binomial expression
([tex](3+\sqrt{8} )(3-\sqrt{8} )[/tex]
Multiply
= 9 - 3√8 + 3√8 -(√8)²
= 9 - 8
= 1
d) ([tex](3+\sqrt{8} )(3-\sqrt{8} ) = 1[/tex]
a bag has 4 red balls and 4 balls, what is the probability of getting a red ball randomly.
Answers
Answer:
1/2
Step-by-step explanation:
4/8 are red. If you simplify that you get 1/2.
please help I will mark brainliest
The triangles below are similar.
Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Triangle S P R is similar to triangle X Z Y
Answers
Answer:
Choice 1) no
Choice 2) yes
Choice 3) yes
Choice 4) no
Choice 5) yes
Choice 6) no
Answer:
2, 3, & 5
Step-by-step explanation:
the distance from the base of a flagpole to a point on the ground is 24 feet. the flagpole has a height of 18. what is x the distance from the top of the flagpole to the ground.
Answers
You can solve this by doing Pythagorean theorem. I think thats what its called... a^2+b^2=c^2. So 24 squared plus 18 squared is 900. The square root of 900 is 30. The legnth of the third side is 30.
The distance from the top of the flagpole to the ground is 30 feet.
What is Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
Given the distance from the base of a flagpole to a point on the ground = 24 feet
height of flagpole = 18 feet
the distance from the top of the flagpole to the ground is x
by Pythagorean theorem, we can find the distance
h² = b² + p²
h = hypotenuse = x
b = base = 24 feet
h = height = 18 feet
x² = 24² + 18²
x² = 576 + 324
x = √900
x = 30 feet
Hence the value of x is 30 feet.
Learn more about Pythagorean theorem;
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I'm not good at functions
Answers
1,16
2,14
4,10
5,8
Answer:
When x is equal to 1, y is equal to 18-2(1), which is equal to 16.
When x is equal to 2, y is equal to 18-2(2), which is equal to 14.
When x is equal to 4, y is equal to 18-2(4), which is equal to 10.
When x is equal to 5, y is equal to 18-2(5), which is equal to 8.
Let me know if this helps!
A set of counters is numbered 1 through 12. Suppose you draw one counter without looking. What is the probability of choosing a number greater than 4?
Question 5 options:
2/3
1/12
1/3
1/6
Answers
8/12 = 2/3
At a baseball game, a vender sold a combined total of 172 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
S is sodas and H is hotdogs
You can get two equations from the statement
Total sold of 172= S + H
And S-58=H
Replace the H in the first equation with the second
So
172=S+(S-58)
230=S+S =2S
230/2=S=115
115-58=57=H
And to check 57+115=172 total again
The number of times the value appears in the data set
Answers
Answer:
Frequency
Step-by-step explanation:
Answer:
Frequency
Step-by-step explanation:
The frequency of any value is the number of times that value appears in a data set.
PLEASE HELP 20 POINTS
The area of a rectangular trampoline is 84 ft^2. The length of the trampoline is 8 ft greater than the width of the trampoline. The
situation can be represented by the equation
w^2 + 8w- 84 = 0
What is the width of the trampoline in feet?
A) 7 feet
B) 6 feet
C) 14 feet
D) 8 feet
Answers
Answer:
the rectangle is 14x6, the width is 6ft
Step-by-step explanation:
10 When line a is drawn in the xy-plane, it passes through quadrants II and III, but not through quadrants I and IV. Which of the following could des ribe line a ? A) The slope is 1 and the x-intercept is 0. B) The slope is () and the y-intercept is 5. C) The slope is -1 and the y-intercept is 0. D) The slope is undefined and the x-intercept is -5.
Answers
Answer:
D the slope is undefined and the y intercept is -5
Step-by-step explanation:
quadrant II and III are on the left. the only way for a line to pass through those two quadrants without passing through I and I would have to be a negative x intercept. The slope would have to be undefined which would make a diagonal line. if the slope was 1 or anything higher it would end up hitting the other quadrants.
How do the villagers investigate the hole?
Answers
Answer:
they get in a hole and they grab the dirt and examine it
Step-by-step explanation:
Answer:the shout and throw a pebble into the hole
Step-by-step explanation:
patrick mahomes threw 229 yards in the first quarter of the súper bowl. for the last 3 quarters of the game, he ended up throwing a total of 754 yards. write an equation to find how many yards he threw each of the last three quarters
Answers
Answer:
345 yards :)
Step-by-step explanation:
Which words have vertical symmetry for all of the letters in the word? Check all that apply. MOM DIZZY HIT SEAT WAXY
Answers
Answer: 1, 3, 5
1.) MOM 3.) HIT 5.) WAXY
Step-by-step explanation: i hope this helps :)
The words in which all letters have vertical symmetry are MOM, HIT, and WAXY so options (A),(C), and (E) are correct.
What is symmetry?If two figures look an exact shape but their size could be small or big then both figures are called similar figures.
When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.
Vertical symmetry is the way by which a latter will completely coincide about a vertical axis.
For example word "A".
If we take a vertical axis in the mid of the word "A" then about this axis the whole word will coincide by left and right.
Thus, another words are M, O, T, Y, H, X.
The words containing the above letters are MOM, HIT, and WAXY.
Hence "The words in which all letters have vertical symmetry are MOM, HIT, and WAXY".
To learn more about symmetry,
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what’s the measure of angle 6?
Answers
Answer: The measure of angle 6 is 120°
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
A godown measures 40 m * 25 m* 10 m. Find the maximum number of wooden crates
each measuring 1.5 m* 1.25 * 0.5
that can be stored in the godown.
Answers
Answer:
n = 10667
Step-by-step explanation:
The measure of a godown = 40 m × 25 m × 10 m
The measure of wooden crate = 1.5 m × 1.25 m × 0.5 m
We need to find the maximum number of wooden crates that can be stored in the godown. Let there are n wooden crates. So,
[tex]n=\dfrac{40\times 25\times 10}{1.5\times 1.25\times 0.5}\\\\n=10666.67[/tex]
or
n = 10667
Hence, there are approx 10667 wooden crates can be stored.
Find the missing values in each column.
Column A
Column 8
Column C
+3+=12
63 +7=
-63+(-7) = 9
-63-7=
Column D
21 + 7 = 3
-21-7) = 3
-21-7=3
21+(-7) = 3
- 24+4=-6
43 - (-4)= -12
Describe the pattern you see in each column's answers in Problem 1. relating it to the problems divisors and
dividends. Why is this so?
Describe the pattern you see between the answers for Columns A and B in Problem I les compare the first answer
in Column A to the first answer in Column B compare the second answer in Column A to the second answer in
Column B) Why is this so?
Describe the pattern you see between the answers for Columns C and Din Problem 1. Why is this so?
Answers
Answer:
because less
Step-by-step explanation:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Answers
Answer:
480y
Step-by-step explanation:
multiply 6 x 8 x 60= 480
Use the FOIL method to check your answer from part A.
Answers
Answer: (3x=2) (x+2)
Step-by-step explanation:
Factor by grouping
the sum of 8 and a number
Answers
Answer:
x+ 8
Step-by-step explanation:
Translate this phrase into an algebraic expression.
The sum of 17 and twice Greg's score
Use the variable g to represent Greg's score.
Answers
Answer:
17+2g
Step-by-step explanation:
Answer:
2g=17
Step-by-step explanation:
Order these from least to greatest: -4.22, 0.8, -4 1/2, 8.4, 4/3
Answers
Answer:
-4 1/2, -4.22, 0.8, 4/3, 8.4
Step-by-step explanation:
-4 1/2 means -4.50, which is smaller than -4.22
4/3 means 1.33, which is smaller than 8.4
GIVING BRAINLEIST PLS HURRY
Answers
Answer:
B. 5 cm, 5 cm, 5cm
Step-by-step explanation:
You can see in the picture that the sides are all 5
Answer:
the answerrrrrrrrr is B
AAAH HELP! Assume that r varies directly as p. What is the constant of proportionality if r = 3 when p = 15. k = 1\5 k = 5 k = 3 k = 45
Answers
Answer:
k = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Given that r varies directly as p then the equation relating them is
r = kp ← k is the constant of variation
To find k use the condition r = 3 when p = 15, then
3 = 15k ( divide both sides by 15 )
[tex]\frac{3}{15}[/tex] = k , that is
k = [tex]\frac{1}{5}[/tex]
Answer:
k = 1/5
Step-by-step explanation:
three consecutive odd integers are such that three times the smallest is 9 more than twice the largest find the three numbers
Answers
Answer:
17, 19, 21
Step-by-step explanation:
let the 3 consecutive odd numbers be n, n + 2 and n + 4 , then
3n = 2(n + 4) + 9 ( 3 times smallest is 9 more than twice the largest )
3n = 2n + 8 + 9
3n = 2n + 17 ( subtract 2n from both sides )
n = 17
n + 2 = 17 + 2 = 19
n + 4 = 17 + 4 = 21
The 3 numbers are 17, 19, 21
PPLLLLZZZZZ HHHEEELLLLPPPP
Answers
Answer:
11 1/3 sq yards
Step-by-step explanation:
4 1/4 x 2 2/3
change into improper fractions: 17/4 x 8/3 = 136/12 = 11 1/4
Write the 24 hour clock time which is 17min later than 13:55
Answers
Answer:
14:12
Step-by-step explanation:
Answer:
After entering a time in 24-hour format, this calculator lets you add and subtract a period to give a new time, also in 24 hour format. The 24 hour time format is also known as "military time".
For example, you could enter the time 15:00:00 (3 pm), then add 70 seconds to it which would give 15:01:10 ( 3:01 and 10 seconds pm).