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 x of the circle
Answers
Answer:
x= 80
Step-by-step explanation:
Angle Formed by Two Chords = 1/2(sum of Intercepted Arcs)
50 = 1/2 ( 20+x)
Multiply each side by 2
2*50 = 20+x
100 =20+x
Subtract 20 from each side
80 =x
HELP ⚠️⚠️⚠️
WILL GIVE BRAINLIEST⚠️⚠️⚠️
DID THE SHOP MEET THE TARGET?⚠️⚠️
WORTH MANY POINTS!!
Answers
Answer:
No the shop did not meet the 65 mean.
Step-by-step explanation:
The mean is the same thing as the average of the sales. So the first six months sales were 52, 82, 71, 92, 51, and 28. the average of these six numbers is 62.66667 which is short of the 65 mean.
52+82+71+92+51+28=376
take that number 376 and divide by the number of months (6)
376/6=62.66667
Calculate the distance of line segment AB.
1 pm
B
A
24 cm
10 cm
с
14
O 25
O 28
0 26
O 31
Answers
Answer:
26 cm
Step-by-step explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]24^2+10^2=c^2[/tex]
576 + 100 = 676
[tex]\sqrt{676}[/tex] = 26 cm
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?
y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)
Answers
Answer:
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Step-by-step explanation:
Given
[tex]x_1 = -2[/tex]
[tex]x_2 = 3[/tex]
[tex](x,y) = (-1,2)[/tex] --- a point on the parabola
Required
The equation
First, calculate the equation from the zeros
[tex]y =k(x - x_1)(x - x_2)[/tex]
Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]
[tex]y =k(x - -2)(x - 3)[/tex]
[tex]y =k(x +2)(x - 3)[/tex]
To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]
[tex]2 = k(-1+2)(-1-3)[/tex]
[tex]2 = k(1)(-4)[/tex]
[tex]2 = -4k[/tex]
Divide by -4
[tex]k=\frac{2}{-4}[/tex]
[tex]k=-\frac{1}{2}[/tex]
So, the equation is:
[tex]y =k(x +2)(x - 3)[/tex]
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Answer: c
Step-by-step explanation:
I need help fast with the first question in the page which is the find algebraically in R
Answers
Answer:
2x²+5x-6 = 0
using the quadratic formula
x = 0.886 and x= -3.386
How does the pursuit of
justice affect those who
seek it?
Answers
Answer:
the pursuit can affect your hands
Find the area of the circle.
Answers
Answer:
153.86
Step-by-step explanation:
So first off, what is the formula for finding area of a circle?
Its [tex]\pi r^{2}[/tex]
We know that r(radius), is the distance from one point of the circle to its center.
In this case it is 7.
Note that in other cases, you might see a line going strait through the middle of the circle.
This is the diamater, and is 2x the radius. If you see the diamater, divide it in half, and you will find radius.
Now, back to the problem.
We know our radius is 7, so lets plug that into [tex]\pi r^{2}[/tex]:
[tex]\pi *7^{2}[/tex]
=
[tex]\pi *49[/tex]
=
153.93
So tecnically, this test is wrong. THe actual answer is .07 bigger than what they give.
However, it is the only possible answer, so it is correct.
Answer:
153.86
Hope this helps!
can someone please answer this
Answers
Answer:
x = 100
It is on a straight line and so, it equals to 180.
180 - 80 = 100
explanation
i got it from the guy above me
What is the value of n?
Answers
Answer:
n = 28 degree
Step-by-step explanation:
2n + 17 + 2n - 5 + 2n = 180 degree (sum of interior angles of a triangle)
6n +12 = 180
6n = 180 - 12
n = 168/6
n = 28 degree
180-12=168
168\6=28
125.315 to two significant figures
Answers
Answer: 130
Step-by-step explanation:
The five rounds up making it 130
30 POINTS HURRY ILL GIVE BRANLIEIST!!!
A landscape architect built a rectangular playground. The length and width of the playground measure 4x and 2x meters. The playground has an area of 800 m^2. How much fencing is needed to fully enclose the playground?
Answers
Trong đợt xảy ra một loại dịch bênh X ,người ta điều tra ngẫu nhiên 1600 nhười dân ở một vùng thấy có 160 người đã được tiêm vaccine đủ liều và đúng lịch
Answers
Answer:
Probability of an event = 1 / 10
Step-by-step explanation:
Given:
Total number of people in particular area = 1,600
Number of people vaccinated = 160
Find:
Probability[people vaccinated]
Computation;
Probability of an event = Number of favorable outcomes / Total number of outcome
Probability of an event = 160 / 1600
Probability of an event = 16 / 160
Probability of an event = 1 / 10
Which of these answer choices is true about the pattern
Answers
Answer:
D is the correct answer.
complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)
Answers
Answer:
5 grams/metres squared = 50 kg/hectares
Step-by-step explanation:
We need to convert 5 grams/metres squared to kilograms/hectares.
We know that,
1 kg = 1000 g
1 hectare = 10000 m²
So,
[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]
Hence, 5 grams/metres squared = 50 kg/hectares
Brian purchased a rectangular-shaped granite countertop for the island in his kitchen. The granite slab measures
72 inches by 42 inches by 1.25 inches. If the density of granite is 170 pounds per cubic foot, how much does the
countertop weigh in pounds?
HELP ME PLEASE!!!
Answers
Answer: [tex]371.8\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Dimensions of rectangular granite countertop is [tex]72\times 42\times 1.25\ in.^3[/tex]
Density of granite is [tex]\rho=170\ \text{Pounds per cubic ft}[/tex]
Volume of granite countertop
[tex]\Rightarrow V=72\times 42\times 1.25\\\Rightarrow V=3780\ in.^3[/tex]
We know, 1 ft=12 inch
[tex]\therefore V=2.187\ cm^3[/tex]
Weight of granite
[tex]\Rightarrow m=\rho \times V\\\Rightarrow m=170\times 2.1875\\\Rightarrow m=371.8\ \text{Pounds}[/tex]
Please help I’ll give brainliest
Answers
Answer:
3675
Step-by-step explanation:
Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4
Answers
Answer:
jeff has 3 apples left. kyle has 2 apples left. kelsea had 4 apples left.
Step-by-step explanation:
5-2=3
3-1=2
8-4=4
Answer:
jeff 3 apples, kyle 2 apples, kelsea 4 apples
total apples left = 9 apples
total apples eaten = 7 apples
total apples = 16 apples
Step-by-step explanation:
2.8x + x (3)
i need the answer to this math question and show your work please
Answers
Work:
2.8•3+3=5.8x
Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error
Answers
Answer:
20%
Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.
Does this table represent a function? Why or why not?
Answers
The answer to this is C because one X vslue can not have more than y value. 8 has two y values which means that this is not a function, it should only have one.
can somebody help me frl frl cause I'm failing
Answers
A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
Answers
Answer:
17.7 ft
Step-by-step explanation:
A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
We solve using the Trigonometric function of sin
sin = Opposite/Hypotenuse
Opposite = Height = ?
Hypotenuse = Length of the ladder = 20 ft
Hence:
sin 62 = h/20 ft
Cross Multiply
h = sin 62 × 20 ft
h = 17.658951857 ft
Approximately = 17.7 ft
At sunrise, the outdoor temperature was 2 degrees
below zero. At dusk, the outdoor temperature has
dropped to 15 degrees below zero. What is the distance
between the two temperatures?
Answers
Answer: 13 degrees
Step-by-step explanation:
1. - 2<0
2. (- 2)-(-15)=(-2)+15=13
if 7=42,6=30,5=20 then 3=? find it's value
Answers
Answer:
6
Step-by-step explanation:
7=42 is 7*6
6=30 is 6*5
5=20 is 5*4; it's multiplied by the number below it, so 3 will be 3*2
3 = 6
Step-by-step explanation:
Given: 7 = 42, 6 = 30, 5 = 20
7 (x 6) = 42
6 (x 5) = 30
5 (x 4) = 20
Follow the pattern
4 (x 3) = 12
3 (x 2) = 6
3 = 6
Eva bought a guitar for $80. Later that guitar was marked down by 35%. By how much has the value been decreased?
Answers
Answer:
r
Step-by-step explanation:
Answer:
$52 is the sale price.
Step-by-step explanation:
First find 35% of $80. Multiply .35 x 80 to do this.
.35 x 80 = 28
Then subtract 28 from the original price 80.
80 - 28 = 52
HELPPPPP!!!! ASAPPPPP!!!!
Answers
Answer:
the second one
Step-by-step explanation:
Which expression is equal to 12x
A. 4x + 4x - 4x
B. 24x/2
C. (3x)(4x)
D. 15x - 3
Answers
Answer:
B.
Step-by-step explanation:
4x + 4x - 4x = 4x
24x ÷ 2 = 12x
3x • 4x = [tex]12x^2[/tex]
15x - 3 = 15x - 3
Answer:
B. 24x/2
Step-by-step explanation:
12x
A. 4x + 4x - 4x = 8x - 4x = 4x
B. 24x/2 = 24/2 x = 12x
C. (3x)(4x) = 12 x^2
D. 15x - 3 = 15x -3 ( no like terms
Rewrite the following polynomial in standard form. -x -7x^2 -10
Please Help
Answers
Answer:
-7x^2 - x - 10
Step-by-step explanation:
Rewriting a polynomial in standard form most often involves writing the x terms in descending order by power: x^2, x^1, x^0
Rewrite -x -7x^2 -10 as -7x^2 - x^1 - 10x^0, which is usually simplified to:
-7x^2 - x - 10
This result is in "standard form."
[tex]-7x^2-x-10
[/tex]
Aldo drives a truck for a soft drink company. His truck is filled with 15 ounce cans and 70 ounce bottles. Let c be the number of 15 ounce cans the truck is carrying, and let b be the number of 70 ounce bottles suppose the truck can carry 7000 pounds (112,000 ounces) using the values and variables given write an inequality
Answers
Answer:
15c+70b[tex]\leq[/tex]112000
Step-by-step explanation:
Truck could carry 7000 pounds.
There are 15 ounce cans and 70 ounce bottles.
There are 'c' number of 15 ounce cans and 'b' is the number of 70 ounce bottles.
So, C number of cans can carry 15C ounces
'b' number of bottles can carry 70b ounces
So, we can set up inequality as
15c+70b[tex]\leq[/tex]112000
Help,anyone can help me do quetion
Answers
Answer:
a3) x= 83
y= 180-71 = 109
a4) x=53
w= 180-53...
y=x=53
z= 180-y