[tex]\bf \lim\limits_{x\to \infty}~-4x^9-3x^3+2x-11 \\\\\\ \lim\limits_{x\to \infty}~-4x^9~~+~~\lim\limits_{x\to \infty}~-3x^3~~+~~\lim\limits_{x\to \infty}~2x~~+~~\lim\limits_{x\to \infty}~-11[/tex]
for any positive value of "x" as it races off towards ∞, our first limit of -4x⁹ will give us a rather large negative value, our second limit of -3x³ will also give us a large negative value and both will combine to produce an even larger negative value.
our third limit of 2x will give us a positive value, however a much smaller than its previous siblings, and our last limit is just a fixed of -11, not moving at all.
since the negative values are moving faster than the positive ones, and thus overwhelming the positive ones, the limit will increasingly be racing towards -∞.
The limit of the function, [tex]\lim_{n \to \infty} f(x)= -4x^2 - 3x^3+2x - 11[/tex] is - ∞.
Here, given function is,
f(x)=−4x^9−3x^3+2x−11
We have to find the value of [tex]\lim_{n \to \infty} f(x)= -4x^2 - 3x^3+2x - 11[/tex].
What is limit of function?
Limit of function means the value towards which a function moves when the value of independent variable moves to infinity.
Now,
[tex]\lim_{n \to \infty} f(x)= -4x^2 - 3x^3+2x - 11[/tex]
[tex]\lim_{n \to \infty} f(x)= \lim_{n \to \infty} (-4x^2) - \lim_{n \to \infty} (3x^3) + \lim_{n \to \infty} 2x - \lim_{n \to \infty} 11[/tex]
[tex]\lim_{n \to \infty} f(x)= -[/tex]∞
Here, limit of [tex]-4x^{2}[/tex] is -∞, limit of [tex]-3x^{3}[/tex] is -∞ and limit of 2x is ∞.
For any positive value of x as it races off towards ∞ but here we find the limits as, -∞.
Since the negative values are moving faster than positive.
Hence, the limit will be towards -∞.
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What’s the measure of x
Answer:
[tex]\boxed {\sf x=66^o}[/tex]
Step-by-step explanation:
Apply the properties of a triangle:-
Where, the sum of all internal angles of a triangle is always equal to 180°.
[tex]\sf 90^o+x+24^o=180^o[/tex]
Combine like terms.
[tex]\sf x+90+24=180^o[/tex]
Add numbers.
[tex]\sf x+114=180^o[/tex]
Subtract 114 from both sides.
[tex]\sf x+114-114=180-114[/tex]
[tex]\sf x=66^o[/tex]
Which of the following equations has infinitely many real solutions?
A) 4x + 1 = x-1
B) 4(x-5)=4x+20
C) 4(x-5) =4x-20
D) 4x+ 1 = 4x-1
Which of the following equations has exactly one solution?
A) x + 1= x + 1
B) 7x= 7x
C) x + 1 = x + 2
D) 7x= 7
Which of the following equations has no real solutions?
A) 14x-6=14x-6
B) 4(x+8) = 4( x+4)
C) 4x-8 =4x -28
D) 8(x-6) =8x-48
Answer:
1) b 2) d 3) d
Step-by-step explanation:
Find the distance between the points (a, 0) and (0, b).
Answer:
d = sqrt( a^2 + b^2)
Step-by-step explanation:
Formula
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x1 = a
x2 = 0
y1 = 0
y2 = b
Solution
d = sqrt( (0 - a)^2 + (b - 0)^2 )
d = sqrt( a^2 + b^2)
which is another way of writing the Pythagorean theorem.
To find the distance between points (a, 0) and (0, b), use the distance formula which results in √(a² + b²). This involves calculating the square root of the sum of the squares of the coordinates.
Therefore, the final distance is √(a² + b²).
Finding the Distance Between Two Points
To find the distance between two points (a, 0) and (0, b), we use the distance formula:
Distance formula: d = √((x2 - x1)² + (y2 - y1)²)
Let's denote the points as:
Point 1: (a, 0)
Point 2: (0, b)
Applying the coordinates to the distance formula, we get:
d = √((0 - a)² + (b - 0)²)
Simplifying inside the square root:
d = √(a² + b²)
So, the distance between the points (a, 0) and (0, b) is √(a²+ b²).
- 3/4 (x + 2) = 6
the / is a fraction can someone help
Factor completely. x2 + 5x + 6 A. (x - 3)(x + 3) B. (x - 1)(x + 6) C. (x + 3)(x + 2) D. (x + 5)(x + 1)
being [tex]x^{2} +5x+6[/tex] the answer is (x-3)(x-2)
begin [tex]x^{2} -5x+6[/tex] the answer is (x+3)(x+2)
1. [tex]x^{2} +5x+6[/tex]
second grade formala is used
[tex]x= \frac{-b±\sqrt{b^{2} } -4ac}{2a}\\ x=\frac{-5±\sqrt{5^{2} } -4.1.6}{2} \\ x= \frac{-5±1}{2} \\ x_{1} =-3 \\ x_{2} =-2[/tex]
Turn 3.45 into a mixed number write in simplest form
Answer:
3 whole number, 9/20
because if you multiply 20 by 3 and add it by 9 you get 69, so when you divide the 69/20, you get 3.45
Lyndi has started a home business
8. What is the prime factorization of 120?
Answer:
120 is a composite number. 120 = 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24, 6 x 20, 8 x 15, or 10 x 12. Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Prime factorization: 120 = 2 x 2 x 2 x 3 x 5, which can also be written 120 = 2³ x 3 x 5.
Answer:
3 x [tex]2^{3}[/tex] x 5 = 120
Step-by-step explanation:
Use the factorization tree to answer this question.
NUMBER 52:
PLEASE HELP ME HAVE TO TEST ON IT TOMMORROW AND I DO NOT UNDERSTAND PLEASE EXPLAIN THOROUGHLY !!
Answer:
c
Step-by-step explanation:
Its c because 10/3.69=0.369 then you tomes that by twelve and itequals 4.428 round that up and its 4.43.
how many grams would be in 10 kilograms?
INEEDHELP!!!!!!
Every kilogram is 1,000 grams, but you want 10 kilograms. You can multiply 1,000 10 times (you can also add 1,000 10 times,) giving you the answer > 10,000.
Hope this helped!
Nate
[tex]\huge\boxed{\text{10,000 grams}}[/tex]
One kilogram is made up of [tex]\text{1,000}[/tex] grams. You can remember this because the Greek root "kilo" means "thousand."
So, just multiply [tex]\text{10} \times \text{1,000}[/tex] to get [tex]\boxed{\text{10,000 grams}}[/tex].
Lucinda has a pocketful of dimes and quarters with a value of $6.20. The number of dimes is 18 more than 3 times the number of quarters. How many dimes and how many quarters does Lucinda have?
Answer:
The number of dimes is 42 and the number of quarters is 8
Step-by-step explanation:
Let
x -----> the number of dimes
y -----> the number of quarters
Remember that
1 dime=$0.10
1 quarter=$0.25
we know that
0.10x+0.25y=6.20 -----> equation A
x=3y+18 ----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (42,8)
see the attached figure
therefore
The number of dimes is 42 and the number of quarters is 8
There are 42 dimes and 8 quarters
Further explanationThe two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
[tex] \large {\boxed {\bold {ax + bx = c}}} [/tex]
x, y = variable
In this equation system there are coefficients and variables whose solutions can use:
1. substitution 2. elimination 3. graph 4. mix
We can state the problem in the form of algebraic equations
Lucinda has a pocketful of dimes and quarters with a value of $ 6.20
we translate this sentence into Algebraic expressions:
dime = D = $ 0.10
quarter = Q = $ 0.25
Then the equation becomes:
0.1D + 0.25Q = 6.20The number of dimes is 18 more than 3 times the number of quarters
we translate this sentence into Algebraic expressions:
D = 18 + Q
D - 3Q = 18
We solve the two equations with substitution and elimination
1. elimination
0.1D + 0.25Q = 6.20 x 10
D - 3Q = 18 x 1
------------------------------------
D + 2Q = 62
D - 3Q = 18
----------------------------------- -
5.5Q = 44
Q = 8
2. substitution
D - 3Q = 18
D - 3.8 = 18
D - 24 = 18
D = 42
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6 squared divided by 2 (3) +4
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Use the point slope equation to identify the slope and the coordinates of a point
on the line y - 4= (x - 1)
Answer:
[1, 4]; 1 = m
Step-by-step explanation:
According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so in this case, the coordinates are [1, 4]. Now, the rate of change [slope] is 1 because an invisible coefficient is always assumed to be 1.
I am joyous to assist you anytime.
Answer:
The slope of the line is 1 and it passes through the point (1,4).
Step-by-step explanation:
If a line passes through a points [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is
[tex]y-y_1=m(x-x_1)[/tex] .... (1)
The given equation of line is
[tex]y-4=(x-1)[/tex] .... (2)
We need to find the slope and the coordinates of a point on the given line.
On comparing (1) and (2) we get
[tex]m=1[/tex]
[tex]x_1=1[/tex]
[tex]y_1=4[/tex]
Therefore, the slope of the line is 1 and it passes through the point (1,4).
Solve the formula for the specified variable
A=p+prt solve for r
Answer:
Step-by-step explanation:
The first step is to take p on both sides:
[tex]A - p = p + p*r*t - p[/tex]
On the right hand side, cancel p and -p, since [tex]p-p=0[/tex]. The equation will be:
[tex]A - p = p*r*t[/tex]
Then, divide both sides of the equation by p*t:
[tex]\frac{A-p}{p*t} = \frac{p*r*t}{p*t}[/tex]
On the right hand side, p*t can be cancelled:
[tex]\frac{A-p}{p*t} = r[/tex]
Answer:
r=A-p (the line is the bar so this is a-p over pt)
pt
Step-by-step explanation:
P + Prt = A
P r t=A −P isolate the term which contains r
P rt=A−P
divide pt by each side
What is the value of y if 6y -2 = 34
Answer:
y = 6
Step-by-step explanation:
Given
6y - 2 = 34 ( add 2 to both sides )
6y = 36 ( divide both sides by 6 )
y = 6
Answer:
y = 6
Step-by-step explanation:
6y - 2 = 34
+2 +2
6y = 36
--- -----
6 6
y = 6
whats the pattern and the next 2 numbers of this question: -1, 2, 7, 17, _, _ .
Answer:
see explanation
Step-by-step explanation:
Consider the differences in the terms
2 - (- 1) = 2 + 1 = 3
7 - 2 = 5
14 - 7 = 7
The differences are 3, 5, 7 ← increasing in steps of 2
Thus the next 2 differences should be 9 and 11
Then the next 2 terms are
14 + 9 = 23
23 + 11 = 34
How do you do 185 times 12 in standard algorithm?
the answer is 2,220
you first aline 185 × 12 like so 185
× 12
then you need to multiply everything
Describe a real world situation that can be represented by the quotient -85\15.
Final answer:
A real world situation that can be represented by the quotient -85/15 is paying off a credit card debt.
Explanation:
A real world situation that can be represented by the quotient -85/15 is the following:
Suppose you owe $85 on your credit card and you make monthly payments of $15. You want to know how many months it will take for you to pay off your debt completely.
To find the answer, you divide the amount you owe ($85) by the monthly payment ($15):
-85/15 = -5.67
This means it will take approximately 5.67 months to pay off your debt.
How do you reduce 16/72
Answer:
2/9
Step-by-step explanation:
16/72 = (8×2)/ (8×9)=2/9
Answer: 2/9
Step-by-step explanation:
Divide it by 2 and keep going until you can't anymore.
A classroom teacher randomly draws the name of a student. If the teacher has between 20 and 30 students in her class, what is a good estimate of the probability of a specific student's name being drawn?
Answer:2 to 4%
Step-by-step explanation:
your odds are 1/30 then your persentage would be 3 percent so your range of 20 to 30 students would be 2 to 4 percent chances
Final answer:
The estimated probability of a specific student's name being drawn from a class of 20-30 students is 4% or 1 in 25.
Explanation:
The probability of a specific student's name being drawn from a class with a number of students between 20 and 30 can be estimated by taking the inverse of the average of the maximum and minimum possible number of students. We calculate the average by adding 20 (the minimum) to 30 (the maximum) and dividing by 2, resulting in an average class size of 25 students.
To estimate the probability of drawing any one student's name, we take the inverse of 25, which is 1/25 or 0.04. Thus, the estimated probability is 4% that any particular student would be chosen in a random draw from a class size between 20 and 30 students.
What is the domain of the function y=2.X-6?
E OF
O
O 05x<
O 35x<<
O 65x<0
Answer:
6 ≤ x < ∞
Step-by-step explanation:
The value of x cannot be less than 6 because that would make the term in the square root part negative. There is no real square root of a negative vale.
The graph of which function(s) will contain the point (3, 6)?
y = x + 3
y = 3x
y = 2x
y = x + 6
Answer:
Step-by-step explanation:
y = x+3 because when : x = 3 y = 3+3=6
y=2x because when : x = 3 y = 2(3)=6
Solve y2+22=38 for y.
A
16
B
8
C
32
D
24
Find the perimeter of quadrilateral ABCD. Round your answer to the nearest hundredth.
A(-5, 4)
B(0,3)
C(4,-1)
D(4,-5)
E(2,-3)
F(-2,1)
Answer:
The perimeter of quadrilateral ABCD is 27.48 units
Step-by-step explanation:
we know that
The perimeter of quadrilateral ABCD is the sum of its four length sides
so
[tex]P=AB+BC+CD+AD[/tex]
we have
A(-5, 4),B(0,3),C(4,-1) and D(4,-5)
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
Find the distance AB
Substitute in the formula
[tex]d=\sqrt{(3-4)^{2}+(0+5)^{2}}[/tex]
[tex]d=\sqrt{(-1)^{2}+(5)^{2}}[/tex]
[tex]AB=\sqrt{26}\ units[/tex]
Find the distance BC
Substitute in the formula
[tex]d=\sqrt{(-1-3)^{2}+(4-0)^{2}}[/tex]
[tex]d=\sqrt{(-4)^{2}+(4)^{2}}[/tex]
[tex]BC=\sqrt{32}\ units[/tex]
Find the distance CD
Substitute in the formula
[tex]d=\sqrt{(-5+1)^{2}+(4-4)^{2}}[/tex]
[tex]d=\sqrt{(-4)^{2}+(0)^{2}}[/tex]
[tex]CD=4\ units[/tex]
Find the distance AD
Substitute in the formula
[tex]d=\sqrt{(-5-4)^{2}+(4+5)^{2}}[/tex]
[tex]d=\sqrt{(-9)^{2}+(9)^{2}}[/tex]
[tex]AD=\sqrt{162}\ units[/tex]
Find the perimeter
substitute the values
[tex]P=\sqrt{26}+\sqrt{32}+4+\sqrt{162}=27.48\ units[/tex]
see the attached figure to better understand the problem
How did the railroad facilitate population growth in
the interior of the country? Check all of the boxes
that apply.
The railroad built towns along the railroad.
The railroad bought land from farmers,
ranchers, and business owners.
The railroad recruited settlers to form new
communities along the route.
The railroad encouraged American Indians to
settle along the route.
DONE
Answer:
1. The railroad built towns along the railroad.
and
3. The railroad recruited settlers to form new.
Step-by-step explanation:
I just took it
The railroad facilitate population growth in the interior of the country by The railroad built towns along the railroad, The railroad recruited settlers to form new.
What is the population?A population is a complete set of a group of individualists, whether that group constitutes a nation or a group of groupings with a common characteristic. In data point, a population is the pool of individuals from which a statistical sample is drawn for a study. As we see, different countries have different populations.
The construction of the transcontinental railroad boosted Western economic development and population growth. For both persons and commodities, railroad businesses offered superior transportation. Additionally, they sold the property to settlers, which prompted a Westward migration. New railroads benefited the industry.
Therefore, option (A) is correct
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Amber is an American teaching English in China, and she currently has 35,000
yuan in her bank account. If the exchange rate changes from 1 U.S. dollar =
6.83 Chinese yuan to 1 U.S. dollar = 6.96 Chinese yuan, what happens to the
value in U.S. dollars of the money in Amber's bank account?
A. It decreases by $4550.00
B. It increases by $4550.00
C. It increases by $95.71
D. It decreases by $95.71
It decreases by $95.71
Answer:
decreases by $95.71
Step-by-step explanation:
Just did test
What is greater 3/4 or 5/8 math
Answer:
3/4
Step-by-step explanation:
3/4 is equal to 6/8 which is bigger than 5/8
6/8 > 5/8
Answer: 5/8
Step-by-step explanation:
3/4=0.8
5/8=0.7
What is 1 4/7 divided by 4 5/7
ANSWER THIS ASAP I ONLY HAVE 57 minutes LEFT PLEASE HURRY!!!!
Answer:
Step-by-step explanation:
[tex]\frac{11}{7} * \frac{7}{33}[/tex]
[tex]\frac{11 * 7}{7 * 33}[/tex]
[tex]\frac{1}{3}[/tex]
[tex]0.333[/tex]
PLEASE HELP ME!! I DO NOT UNDERSTAND PLEASE SHOW WORK THANK YOU!!
Answer:
= 10x² + 9x³
Step-by-step explanation:
I'm assuming you mean question 19
3x² + 5x³ + 7x² + 4x³ (rearrange to group like terms)
=3x² + 7x² + 5x³ + 4x³ (factor out common powers)
= (3+7)x² + (5+4)x³
= 10x² + 9x³
find the coordinates of Z if Y is the midpoint of XZ , X( -10, 9) , and Y( -4,8)
Answer:
The coordinates of Z are (2,7)
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
[tex]Y=(\frac{x1+x2}{2} ,\frac{y1+y2}{2})[/tex]
we have
X(-10,9),Y(-4,8)
Let
(x2,y2) ----> the coordinates of Z
substitute the values
[tex](-4,8)=(\frac{-10+x2}{2} ,\frac{9+y2}{2})[/tex]
Solve for x2
[tex]-4=(-10+x2)/2\\-8=-10+x2\\x2=10-8\\x2=2[/tex]
Solve for y2
[tex]8=(9+y2)/2\\16=9+y2\\y2=16-9\\y2=7[/tex]
therefore
The coordinates of Z are (2,7)
Answer: The required co-ordinates of Z are (2, 7).
Step-by-step explanation: Given that Y is the midpoint of XZ and the co-ordinates of X are (-10, 9) and the of Y are (-4, 8).
We are to find the co-ordinates of Z.
Let (a, b) represents the co-ordinates of the point Z.
We know that
the co-ordinates of the midpoint of a line segment with endpoints (x, y) and (z, w) are given by
[tex]\left(\dfrac{x+z}{2},\dfrac{y+w}{2}\right).[/tex]
So, according to the given information, we have
[tex]\left(\dfrac{-10+a}{2},\dfrac{9+b}{2}\right)=(-4,8)\\\\\\\Rightarrow \dfrac{-10+a}{2}=-4\\\\\Rightarrow -10+a=-8\\\\\Rightarrow a=-8+10\\\\\Rightarrow a=2[/tex]
and
[tex]\dfrac{9+b}{2}=8\\\\\Rightarrow 9+b=16\\\\\Rightarrow b=16-9\\\\\Rightarrow b=7.[/tex]
Thus, the required co-ordinates of Z are (2, 7).
I need a story for 24-(6+3) I’m super confused cause all the stories here are hard for me to understand
Answer:
Are there any options for this question?
Step-by-step explanation:
I cant answer it without options.