Answers
Answer:
The limit is 1.
Step-by-step explanation:
In this kind of problem, we can use the left and right-hand limit method.
Basically, we need to find the limit by the left side and then by the right side. If both of them are equal the limit does exist if not the limit does not exist.
Left hand
[tex]lim_{-8^{-}}(f(x))=lim_{-8^{-}}(x+9)=-8+9=1[/tex]
Right hand
[tex]lim_{-8^{+}}(f(x))=lim_{-8^{+}}(-7-x)=-7-(-8)=1[/tex]
As we see, both limits are the same, so the limit is equal to 1.
I hope it helps you!
Related Questions
please help MATHEMATICS
Answers
Answer:
area is 26.75 units^2
Step-by-step explanation:
Top Triangle area is (3.5*9)/2=15.75
Square area is 2*2=4
Left bottom triangle is (2*2)/2=2
bottom right triangle is (2*5)/2=5
15.75+4+2+5=26.75
Which function is equivalent to g(x) = x2 + 15x – 54?
g(x) = (x + 9)(x – 6)
g(x) = (x – 9)(x + 6)
g(x) = (x – 18)(x + 3)
g(x) = (x + 18)(x – 3)
Answers
Answer:
g(x)=(x+18)+(x-3)
Step-by-step explanation:
The function i.e. g(x)=(x+18)(x-3) equivalent to the given equation.
Given that,
The equation is [tex]g(x) = x^2 + 15x - 54[/tex].We need to solve it.
Based on the above information, the calculation is as follows:
[tex]g(x) = x^2 + 15x - 54[/tex]
[tex]x^2 + 18x - 3x - 64\\\\x (x + 18) - 3(x + 18)\\\\(x +18 ) (x - 3)[/tex]
Learn more: brainly.com/question/17429689
Lin went hiking on five different weekends. The table shows the
elevation changes in feet for each of her five hikes. Fill in the
missing numbers
Initial Elevation
Elevation Change Final Elevation
hike
768
1
-96
672
hike
2
82
20
hike
62
3
- 100
hike
354
4
129
hike
-20
-40
-60
5
Explain what each of the numbers-20, -40, and -60 tells you about
hike 5. What does it mean for the numbers to be negative in this
situation?
Answers
Answer:
Hike 1 : 768, -96, 672
Hike 2: -62, 82, 20
Hike 3: 62, -100, -38
Hike 4: 354, -225, 129
Hike 5: -20, -40, -60
The -20 is at what surface level Lin began Hike 5 at. From there, they continued to go in this situation lower by - 40, and arrive at the surface region of -60.
Negative numbers in the present circumstance mean under 0. (Underneath surface region)
Can you pls pls help me
Answers
Answer:
I might what do you need help with?
Step-by-step explanation:
Sasha saved $28.34 in November and $39.57 in December. By the end of
January, she wants to have saved $100. How much money does she need
to save in the month of January? Make sure to include your work, number
sentences, and your answer with words.
Answers
Answer:
$32.09
Step-by-step explanation:
It's $32.09 because, 39.57-28.34=67.91. And 100-67.91= 32.09. Goodluck!
find the equation of the line
use exact numbers
y=__ x+__
Answers
Answer:
y=2x-1
Step-by-step explanation:
btw it would be a - not a + cause the line is going back
6+(1/3×1/3)-3×7 how do you get it???
Answers
Answer:
-134/9
Step-by-step explanation:
if I had 24 apples and 2 friends over with me, and they want to split them all what do I do?
Answers
Answer:
24/3 =8 with each friend
Step-by-step explanation:
Answer:
you give each one 12 and than eat them
Step-by-step explanation:
Can someone help me on this one
Answers
Answer:
same as last because it is a circle
Step-by-step explanation:
Answer: diameter = 16 area = 201.06
Step-by-step explanation:
help me please thanks
Answers
Answer:
325m = c
Step-by-step explanation:
Each meeting room has 325 chairs.
Since we don't know how many meeting rooms there are, the number is replaced with the variable, m.
An equation is a problem with an equals sign so you need to put what it would equal.
Since you don't know how many meeting rooms there are you use the variable, c which represents the total number of chairs.
Please HELP I’m being timed!!!
Answers
Answer:
C is the answer I think...
Is this a rectangular prism or a triangular prism
Answers
Answer:
I think it may be a rectangular prism
Step-by-step explanation:
it looks like one
hope it helped
Is D. the right answer
Please I need help
Answers
Answer:
Yes its correct!
Step-by-step explanation:
write an expression that is equivalent to -0.5(14a-22)
-0.5(14a-22) = _?_a+_?_
Answers
Explanation: distribute -0.5 to each term in the parentheses
5 times 4 times 2 times 2 divided by 2 minus 4
Answers
Answer:
36
Step-by-step explanation:
5 x 4 = 20
20 x 2 = 40
40 x 2 = 80
80 ÷ 2 = 40
40 - 4 = 36
You see a hiker sitting on a bench taking a water break at the top of a hill at a 40° angle of elevation. Your eye level is 5 feet off the ground and you are standing 100 feet from the base of the hillAt what altitude is the hiker sitting on the bench?
Answers
Answer:
89
Step-by-step explanation:
Draw a right triangle, put the angle of elevation as 40 degrees and the feet for the base of your triangle (standing 100 feet from the base of the hill) as 100ft. According to SOH CAH TOA, we will be using tan, where you will get:
tan(40)=x/100
x=100tan(40)=83.9
Add 5 feet, which was your eyes off the ground, and it will be 83.9+5=89
Final Answer: 89
The altitude of the hiker sitting on the bench of the hill is 89 feet.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The angle of elevation = 40°
Distance from base of the hill = 100 feet
Distance from the ground to the eye level = 5 feet
The diagram below shows the right angled triangle.
Let the altitude from the eye sight to the bench be x.
Total altitude = x + 5
The altitude of the hiker can be found by using trigonometric ratio,
[tex]tan\theta= \frac{opposite}{adjacent}[/tex]
⇒ [tex]tan 40=\frac{x}{100}[/tex]
⇒ [tex]0.8390=\frac{x}{100}[/tex]
⇒ [tex]x=83.90[/tex]
Total height = [tex]x+5[/tex]
⇒ [tex]83.90+5[/tex]
⇒ [tex]88.90[/tex] ≈ [tex]89[/tex]
Hence we can conclude that the altitude of the hiker sitting on the bench of the hill is 89 feet.
Learn more about trigonometry here
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HELP PLEASE DUE IN 4 MINUTES
Answers
the perimeter of the gym floor is eighty-eight and six-hundredths meters long. What is this in standard form
Answers
Answer:
hope this helps
Step-by-step explanation:
Select the correct answer. What is the fractional form of 0.02 ? A. 2/99 B. 1/11 C. 2/100 D. 1/12
Answers
Answer:
C) 2/100
Step-by-step explanation:
0.02 = 2/100
Answer:
It Is C
Step-by-step explanation:
If the two lines below are perpendicular and the slope of the red line is -7,
what is the slope of the green line?
Answers
Answer:
1/7
Step-by-step explanation:
Formula for 2 perpendicular lines: m1 * m2 = -1,
where m1 is gradient of 1st line and m2 is gradient of 2nd line
Application:
-7 * m2 = -1
m2 = 1/7
URGENT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ASAP
Answers
Answer:
I think its D). but im not pretty sure.
Step-by-step explanation:
based on the formula given:
area: 8 x 8: 64cm²
1/3 x (64) x 9 : 192cm³
what is the answer do you know i want it as a fraction
Answers
Step-by-step explanation:
Given
[tex] \frac{3}{4} + \frac{3}{4} + \frac{2}{3} + \frac{2}{3} \\ = \frac{6}{4} + \frac{4}{3} \\ = \frac{18 + 16}{12} \\ = \frac{34}{12} \\ = \frac{17}{6} [/tex]
Hope it will help :)❤
What is the range of the shoe sizes?
Answers
Answer:
The answer will be 9 and the frequency will be 18
ILL GIVE YOU BRAINLIEST PLEASE ANSWER
Answers
Answer:
376.9 ft²
Step-by-step explanation:
There you go the right answer
the of two numbers from a set of ten numbers is 4.5 . if one of the numbers is 6, find the number
Answers
Explanation:
Mean is found by taking the sum of the values and dividing by the count.
When looking at all 6 numbers, the mean is:
4.5
=
sum of 6 values
6
⇒
sum of 6 values
=
27
When looking at the 2 values with a mean of 5.5:
5.5
=
sum of 2 values
2
⇒
sum of 2 values
=
11
Which means the mean of the 4 values is:
mean
=
27
−
11
4
=
16
4
=
4
Athena sells plates at a deal of 5 for $10. If Athena sells 25 plates per every half hour, how much money will Athena make?
Answers
Answer:10*25=250
Step-by-step explanation:
pls helpppp with explanation pss
Answers
Step-by-step explanation:
27 cubes are needed because you could need a 3×3 ×3 cube
I NEED THIS DONE FAST!!!
Answers
Answer:
120 in³
Step-by-step explanation:
8 in • 3 in • 5 in
8 in • 15 in²
120 in³
Answer:
120 in.²
Step-by-step explanation:
8 × 3 × 5 = 120
120 in.²
A system consists of two components A and B that operate independently. The system
fails when either component fails. The probability that component A fails is 0.2, and
the probability that component B fails is 0.1. What is the probability that the system
fails?
Answers
Answer:
0.3
Step-by-step explanation:
When one component fails, so does the other one.
a + b = P
0.1 + 0.2 = 0.3
Your answer would be 0.3 or 30%.
Hope this helps. Have a nice day.
find the diameter and of each circle. A) circumference = 118mm B) circumference = 1m
Answers
C=(pi)(D)
or
C=(pi)(2)(r)
But since they gave us the diameter we are gonna have to use the first formula.
Now I don’t know if they want u to use 3.14 for pi or the actual number, so i’m gonna assume we are using the actual formula.
So the formula to be able to find the diameter of circle A is going to be:
118/pi.
So put that into your calculator and you get 37.5605mm or 37.56mm.
It depends on what place your instructor wants you to round to.
The formula for circle B is going to be:
1/pi.
So let us put that into our calculator and you get 0.318309mm etc. Or just 0.3183.
I believe that I am correct but if i’m not please correct me.