Answers
Answer:
option B
Step-by-step explanation:
[tex]\lim_{x\to \infty} f(x) = \lim_{x \to \infty} (log(x+2)-3 )[/tex]
[tex]= \lim_{x \to \infty} ( log(x+2)) - \lim_{x \to \infty} 3\\\\=\infty - 3\\\\= \infty[/tex]
[tex]\lim_{x \to 2} f(x) = \lim_{x \to 2} ( log(x+2)) - \lim_{x \to2} 3\\\\[/tex]
[tex]= log( 2 + 2 ) - 3\\\\= log 4 - 3\\\\=log(2^2) -3\\\\=2 log 2 -3[/tex]
[tex]\lim_{x \to -2} f(x) = \lim_{x \to -2} ( log(x+2)) - \lim_{x \to -2} 3\\\\[/tex] [tex]\lim_{x \to -2}_+ f(x) = \lim_{x \to -2_+} ( log(x+2)) - \lim_{x \to -2_+} 3 = -\infty\\\\\lim_{x \to -2_-} f(x) = \lim_{x \to -2}_- ( log(x+2)) - \lim_{x \to -2}_- 3 = -\infty\\\\\\\lim_{x \to -2} f(x) = - \infty[/tex]
Related Questions
find the points on the y-axis, each of which is at a distance of 13 units from the point (-5,7)
Answers
Answer:
The answer is (0,19) or (0,-5).
By distance formula,
after squaring on both sides we and solving we get,
so, y=19 or -5
Step-by-step explanation:
you get the idea, but i don't think this is the answer yet?
Question 16. Use the Triangle Inequality Theorems to determine if a triangle can exist with the given side lengths. (HINT: A triangle with sides a, b and c
exists if and only if the sum of any two sides of the triangle is greater than
the third side.) *
7,16, 6
Answers
Answer:
no
Step-by-step explanation:
7 squared plus 6 squared is 85 while 16 squared is 256
Abigail buys two cartons of strawberries. One carton has 19 berries and the other carton has 26 berries. She wants to divide the berries into bags so there are exactly 6 berries in each bag. How many bags will have 6 berries?
Answers
Answer:
7.5 bag
Step-by-step explanation:
Carton #1: 19 berries
Carton #2: 26 berries
^^add them up together to get hte total amount of berries! 19 + 26 = 45
She has 45 berries in total, then you divid it by 6 aka the amount of berries she wants in each bag 45 ÷ 6 = 7.5
When she divids them up she has 7 bags with 6 berries in each and 1 bag with 3 berries.
18.
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?
A. (–5, 23)
B. (–10, 2)
C. (5, –23)
D. (2, –10)
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
C. (5, –23)
»»————- ★ ————-««
Here’s why:
I have graphed the given equation on a program. The vertex can be described as the 'turning point' of the parabola. When graphed, the parabola shows a vertex at (5, -23).See the graph below.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Write an equation for a line that is perpendicular to the line 6y – 9x = 12
Answers
Answer:
y = -2/3x + 4
Step-by-step explanation:
first we take the original equation and convert it to y=mx+b (a form we know how to graph)
that gives us y = 3/2x + 2
(Here's my work for that):
6y - 9x = 12; add 9x on both sides
6y = 9x + 12; divide 6 on both sides
y = 9/6x + 12/6
y = 3/2x + 2
next to make a line *perpendicular* to this, we make the slope negative and swap the fraction (-2/3)
then we just uh graph that slope and try to find the y intercept. i did it already and i got 4
Answer:
Step-by-step explanation:
You need one more piece of information to get a specific line. I'll get the general one and then we'll see what comes of it.
Add 9x to both sides.
6y - 9x + 9x = 9x + 12
6y = 9x + 12 Divide by 6
6y/6 = 9x/6 + 12/6
y = 1.5x + 2
Now the perpendicular line must have a slope that is found by using
m1 * m2 = - 1
m1 = 1.5 From the equation above.
1.5 * m2 = - 1 Divide by 1.5
m2 = -1/1.5
m2 = - 2/3
So far what you have is
y = -2/3 x + b You need a value for b. Usually that is found with a point. But I will just call b = 1 since there is nothing else to do
The complete equation becomes
y = -2/3 x + 1
The graph is enclosed.
half of a dome is called what?
Answers
Answer:
See I don't know the Answer but I Need points to ask question so Sorry
Step-by-step explanation:
please help. i have no clue how to do volume of spheres
Answers
Step-by-step explanation:
the answer is a
4/3πr^3
4/3*22/7*5^3
The sixth graders at Kingston Middle School voted for their favorite sport. The results are in the circle graph below. Favorite sports 3/20 Football 1/2 Basketball 1/2 Golf Baseball 1/10 If the 180 students in sixth grade get to choose a sport to play for a special reward, how many of these students will choose basketball?
Answers
Answer:
90 Students.
Step-by-step explanation:
1/2 (Half) of 180 is 90.
Answer:
90 students will choose basketball
Step-by-step explanation:
half (1/2) choose basketball and half of 180 is 90
En la figura se muestran dos bloques de m1= 0,8 Kg y m2= 0,2 kg si el bloque de masa m2 es arrastrado por el bloque masa m1 calcular la aceleracion del sistema y la aceleracion de la cuerda
Answers
Answer:
The acceleration in the system and in the rope is same as 5.88 m/s2.
Step-by-step explanation:
The figure shows two blocks of m1 = 0.8 Kg and m2 = 0.2 kg if the block of mass m2 is dragged by the block of mass m1 calculate the acceleration of the system and the acceleration of the rope
Let the acceleration is a and the tension in the string is T.
Use Newton's second law
[tex]m_1 g - T = m_1 a ..... (1)\\\\T -m_2 g = m_2 a ......(2)\\\\Add both of them \\\\(m_1 - m_2) g = (m_1 + m_2) a \\\\(0.8-0.2)\times9.8 = (0.8+0.2)a\\\\a = 5.88 m/s^2[/tex]
Any of you guys know this answer?
Answers
Please help me. I feel really confused and I have no clue on what to do…
Answers
Answer:
i cant understand your questions. can you reply me? i will have better answer
10 cm
12 cm
20 cm
12 + x
G
12 cm
A
X
Answers
Answer:
x = 12 cm and y = 24 cm
Step-by-step explanation:
Three sides of the first triangle are 10 cm, 12 cm and 12 cm.
Three sides of second triangle are 20 cm, 12+x cm and y cm.
As these two triangles are similar, it means,
[tex]\dfrac{10}{20}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{y}\ \text{and}\ \dfrac{1}{2}=\dfrac{12}{12+x}\\\\y=24\ cm\ \text{and}\ 24=12+x,x=12 cm[/tex]
So, the value of x is 12 cm and that of y is 24 cm.
The number of children studying in different schools of kanpur is 6,45,55,587 . If the number of boys is 4,55,25,400, find the number of girls.
Answers
Answer:
19030187 girls
Step-by-step explanation:
Total number of children = 6,45,55,587
number of boys =4,55,25,400
Number of girls= (Total number of children ) - (number of boys )
= (6,45,55,587)-(4,55,25,400)
= 19030187 girls
The number of girls. Is 19030187
If the pentagon below is to be reflected over the line y=x, what are the new coordinates of the vertices?
Answers
Answer:
K' (-2, -2)
L' (3, -2)
G' (4,0)
H' (3,2)
J' (-2, 2)
Step-by-step explanation:
list all the coordinates of the image, and apply the y=x rule of reflection. The line y=x states that the previous y is now in the x and vice versa.
K(-2, -2)
L(-2, 3)
G(0,4)
H(2,3)
J(2, -2)
If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the new equation be? A. h(x) = 4(x + 9)2 – 17
B. h(x) = 4(x – 9)2 – 17
C. h(x) = 4(x = 17)2 - 9
D. h(x) = 4(x - 7)2 + 16
Answers
Answer:
Step-by-step explanation:
If you move down 1 unit, you simply subtract 9 units from the given equation.
g(x) = 4x^2 - 16 - 1
g(x) = 4x^2 - 17
Shifting right is a little bit tricky. To shift right, you have to do the opposite of what you would do on the number line. The x has to become x - 9 because the x value (you will learn later) is part of a distance and distances always subtract one from the other.
The wrong way to do it is in answer A.
B is the correct answer
h(x) = 4(x - 9)^2 - 17
Determine the value for x in the picture below.
Answers
Answer:
x=9
Step-by-step explanation:
Similar triangles
8/20 = 6/(x+6)
==> 2/5 = 6/(x+6)
2/5x+12/5=6
2/5x=18/5
x=9
I hope that helps
A regulation-size women's basketball has a diameter of 9.07 inches. What is the surface area of the basketball? Use 3.14 for π and round to the nearest tenth.
Answers
Answer:
258.3 sq inches
Step-by-step explanation:
Use the sphere surface area formula, SA = 4[tex]\pi[/tex]r²
The diameter is 9.07 inches, so the radius is 4.535 inches.
Plug in 3.14 as pi and 4.535 as r, and solve:
SA = 4[tex]\pi[/tex]r²
SA = 4(3.14)(4.535)²
SA = 258.3
So, the surface area is approximately 258.3 sq inches
A gym charges a one-time fee of $60 to join and membership dues of $25 per month
Part A
Complete the table to show how the total cost in dollars, C, and the number of months, m, of gym membership are related. Drag numbers to
complete the table. Numbers may be used once or not at all.
865
200
410
205
135
75
505
260
ות
3
8
14
C
Part B.
Which equation represents the total cost based on the number of months of gym membership?
O А.
C = 25m
B В.
C = 60 + 25m
Review progress
Question 5
of 22
Back
Next →
Answers
Answer:
Step-by-step explanation:
C=25m plus 75
PLEASE HELP! BRAINLIEST! AND EXTRA POINTS
Tamara uses a coupon to save 20% off her purchase at the bookstore. The original cost of Tamara's purchase is d dollars
Answers
Answer:
The discount is $0.8d.
Step-by-step explanation:
Given that,
The original cost of Tamara's purchase is d dollars.
Tamara uses a coupon to save 20% off her purchase at the bookstore.
Discount = 20%
Discount is applied to the original cost.
Discount = d-(20/100)d
Discount = 0.8 d
Hence, the discount is $0.8d.
what is 2/3 of 4 hours and 30 minutes?
Answers
A family of 5 bought airline tickets. In addition to their ticket,each person had to pay $39 to check their bag. They spent a total of $1640.
Find the price of each airline ticket
Answers
Answer:
289
Step-by-step explanation:
5 people pay 39 each for their bag, so, 5*39 is 195
now you have to subtract the cost of the baggage(195) from 1640 to be able to get the total cost of tickets- 1640-195 is 1445
the last thing you do is divide the total cost of tickets by the number of people- 1445/5 is 289
Isaiah brought two dozen donuts to a class party. Half of the donuts had vanilla frosting with sprinkles, 2 had strawberry frosting with cream filling, and the rest had chocolate frosting with sprinkles. What fraction of the donuts had sprinkles? There are 12 donuts in a dozen.
Answers
Answer:
22/24
ALL TOGETHER there is 24 donuts.
take half of 24, or 24 divided by 2, and you get 12.
so we know 12 of the donuts are vanilla with sprinkles.
then 2 had strawberry frosting and the rest had chocolate and sprinkles.
we took 12 away so we only have twelve left and if 2 of those 12 are strawberry with no sprinkles and the rest are chocolate WITH sprinkles, this means 10 are chocolate with sprinkles.
so 10 chocolate and sprinkles +12 vanilla and sprinkles=22 donuts with sprinkles out of 24 donuts total
Answer:
22/24
Step-by-step explanation:
Johnny Bravo bought Amazon 25 shares at $50. He sold them at $2346 a few years later. How much money did he make on this stock?
Answers
Answer:
$1096
Step-by-step explanation:
If Johnny Bravo bought Amazon 25 shares at $50, the cost price is expressed as;
Cost price of 25shares = 25 * 50
Cost price of 25shares = $1,250
If he sold them at $2346 a few years later
Profit = Selling price - Cost price
Profit made = 2346 - 1250
Profit made = $1096
check whether 7+3x is a factor of 3x^3+7x
Answers
Answer:
no
Step-by-step explanation:
refer to picture for solution
The points (4,1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? A. X = -3 B. X = 3 C. X = 9 D. X = 11
Answers
Answer:
Step-by-step explanation:
Use the slope formula here along with the fact that the slope is equal to 1:
[tex]1=\frac{-6-1}{x-4}[/tex] and
[tex]1=\frac{-7}{x-4}[/tex] and cross multiply to get x - 4 = -7 so
x = -3
A car uses 6 litres of petrol when travelling 66 Km. Calculate the number of litres of petrol used when travelling 165 Km?
Answers
Answer:
15L
Step-by-step explanation:
divide the number of km's you will travel(165) by the number you are given originally(66)- 165/66 is 2.5
then multiply 2.5 by the amount of litres it takes for the original 66 km (6L)- 2.5*6 is 15L
On a coordinate plane, a line goes through points (1, negative 1) and (2, 4). This graph displays a linear function. What is the rate of change? Rate of change =
Answers
Answer:
5
just took the test
Answer:
Step-by-step explanation:
its 5
Determine f’s end behavior
f(x)= -5x^6+8x^5-1/ x^2 -9
Answers
Answer:
f(x) → -∞ as x → -∞
f(x) → -∞ as x → +∞
Step-by-step explanation:
The given function is;
f(x) = -5x^(6) + 8x^(5) - 1/(x² - 9x)
Using long division to divide this as attached, we have;
f(x) = -5x⁴ - 37x³ - 333x² - 2997x - 26973 + (-242757x - 1)/(x² - 9x)
Thus, the leading coefficient here is -5 and the polynomial degree is 4.
Since the leading coefficient is negative and the degree of the polynomial is an even number, then we can say that the behavior of the polynomial is;
f(x) → -∞ as x → -∞
f(x) → -∞ as x → +∞
Brainliest question!
What’s the digit you need to input in the space with the question mark to complete the code for the safe? Here’s a hint to save you some stress: The “Safe A08” text on the bottom is meaningless, so don’t waste time trying to figure out if that will help you get the answer!
Answers
Answer:
4 will replace?
Step-by-step explanation:
as 3-2=1
6-4=2
4-1=3
8-2=6
again
3-2=1
so
6-x=2
6-2=x
4
plz mark it as brainliest answer
What is the area of the rectangle above
A.48 square cm
B.28 square cm
C.14 square cm
D. 24 square cm
Answers
Answer:
24
Step-by-step explanation:
Area = width * length
Given width = 2cm
Given length = 12cm
Area = 2 * 12 = 24
