Answer:
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]
The function f(x) is continuous
Step-by-step explanation:
Explanation:-
Given that the function
[tex]f(x) = \frac{x^{2} }{x^{2} +4}[/tex]
put x = c =2
[tex]f(c) = f(2) = \frac{(2)^{2} }{(2)^{2} +4} = \frac{4}{8} = \frac{1}{2}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{2^{2} }{2^{2} +4} = \frac{4}{4+4} = \frac{4}{8}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]
Given function f(x) is continuous
SOMEONE HELP ME WITH THIS PROBLEM
Answer:
a)15=3+12=x
b)15=3x5=x
Step-by-step explanation:
hope this helps and if this is correct you can give brainliest if you want and if I am not correct tell me in the comments and I will fix it
Answer:
Read Explanation
Step-by-step explanation:
Hello I think I can help.
Lets go over A then work on B to see if me walking through it can help you understand better.
Lets use some real world stuff. Say that the big long rectangle with the 3 and the x in it is a big truck, driving down the road.
Now inside that truck we have a 3 and a X as it shows in the picture. And then on the outside of the truck it shows what we have total inside the truck which is 15.
Now 3 + x may not sound equal to 15 but its math and if you see the = sign between two things they are equal no matter how weird it may seems.
So inside the truck, the 3 + x is equal to the outside of the truck saying that inside it is 15.
Lets move onto the B and do the same thing using the truck.
Now inside the truck it is saying 3 multiplied by x this time. On the outside it is saying there is a total of 15 just like before.
It looks to me you don't even have to solve it as the model seems to already be solved. But lets explain it.
Just like the problem says, (15 = 3 times x) you can see the 3 times x in the truck by the 3 separate x's inside the truck. And on the outside you can see the 15, which is the total amount inside the truck. And we know this is true because in the equation it says 15 = 3 times x.
I am not sure if you have to solve these but we can go over that real quick as well since it is very simple.
To find what x is in these equations all you want to do is take the outside of the truck (which is 15) and divide it by the number we know (3), not the variable (which is x).
So if we do this :
(The outside of the truck or the one number on its own)
15
(Divide it by the other number we know of inside the truck, not the letter/variable)
3
And we get :
15/3 = 5
x = 5
And that is our answer and you can do the same thing to part A.
You can also check to see if you're right by doing the same thing but backwards.
This means we use multiplication and go right to left (5 and 3) instead of left to right like we did last time (15 and 3).
If we multiply the 5 and the 3 we get 15 which is the other number in the equation and proves we are correct!
I do hope this helps.
If you have any questions or concerns feel free to message me or comment! :)
9 - 2x is less than or equal to -5
Solve for X
3(5y + 3) = 39
Please help
Me solve it
Answer:
2
Step-by-step explanation:
3(5y+3) = 39
15y+9 = 39
15y=30
y=2
The buyer of a car pays Php 169,000 cash and Php 12, 000 every month for 5 years. If money is 10% compounded monthly, how much is the cash price of the car?
Answer:
Step-by-step explanation:
Distribute and combine like terms:
6-3(x-8)
Please show a step by step process.
1) Which of the following are considered POLYNOMIALS according to the rules of polynomials? Check all that apply
Answer:
A polynomial is writen as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀
So we can only have positive integer exponents of x.
the coefficients "a" can be any real number.
Let's analyze the options:
1) Here we can see a term with "√x", remember that:
√x = (x)^(1/2)
This is not an integer exponent, then this is not a polynomial.
2) This is a polynomial.
3) Here we have the term "4/x"
This can be written as:
4/x = 4*x^(-1)
Then this is not a polynomial.
4) Here we have the term "5^x"
In a polynomial we must have powers of x, not x as a power, then this is not a polynomial.
5) This is a polynomial.
6) Here we have the term " 2/x^2"
This can be written as:
2/x^2 = 2*x^(-2)
We have a negative exponent of x, then this is not a polynomial.
A cab company charges a $3.95 flat fee for rides up to 15 miles. For rides over 15 miles, the company charges the $3.95 flat fee and $1.25 per mile for every mile over 15 miles up to 75 miles. For rides over 75 miles the company charges a flat fee of $78.95 and $0.75 per mile over 75 miles. Using this information, write an equation that represents the total cost of the trip as a function of the number of miles traveled. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)
Answer:
There are three intervals depending on the mileage:
0 - 15 miles15 - 75 milesMore than 75 milesFor each interval we have different cost and equation
Let miles = x, cost = y, then the equations are:
0 < x ≤ 15 ⇒ y = 3.9515 < x ≤ 75 ⇒ y = 1.25x + 3.95x > 75 ⇒ y = 0.85x + 78.95Step-by-step explanation:0 - 15 miles
15 - 75 miles
More than 75 miles
For each interval we have different cost and equation
Let miles = x, cost = y, then the equations are:
0 < x ≤ 15 ⇒ y = 3.95
15 < x ≤ 75 ⇒ y = 1.25x + 3.95
x > 75 ⇒ y = 0.85x + 78.95
Pls help im an idiot and cant solve this first gets brainliest
Answer:
1. 6 x 7/2 = 21
2. 6 x 10/3 = 20
3. 6 x 25/6 = 25
Step-by-step explanation:
Plz solve the calculus :')
Answer:
[tex] \frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c[/tex]
Step-by-step explanation:
[tex] \int \frac{1}{ \sqrt{x} - \sqrt{x - 1} } dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x} - \sqrt{x - 1} )( \sqrt{x} + \sqrt{x - 1} )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x})^{2} - (\sqrt{x - 1} )^{2}} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - (x - 1 )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - x + 1} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ 1} dx \\ \\ = \int (\sqrt{x} + \sqrt{x - 1}) dx \\ \\ = \int \sqrt{x} \: dx+ \int\sqrt{x - 1} \: dx \\ \\ = \int {x}^{ \frac{1}{2} } \: dx+ \int {(x - 1)}^{ \frac{1}{2} } \: dx \\ \\ = \frac{ {x}^{ \frac{3}{2} } }{ \frac{3}{2} } + \frac{ {(x - 1)}^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} {x}^{ \frac{3}{2} } + \frac{2}{3} {(x - 1)}^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \bigg[ \sqrt{ {x}^{3} } + \sqrt{ {(x - 1)}^{3} } \bigg] + c \\ \\ = \bold{\purple {\frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c}} [/tex]
The flight path of a plane is a straight line from city J to city K. The roads from city J to city K run 9.4 miles south and then 15.1 miles east. How many degrees east of south is the plane's flight path, to the nearest tenth?
Answer:
Step-by-step explanation:
[tex]tan\theta =15.1/9.4\\ \\ \theta =tan^{-1}(15.1/9.4)\\ \\ \theta \approx 58.1^o[/tex]
Answer:
Step-by-step explanation:
How many total outcomes of desserts are possible?
A) 4
B) 14
C) 24
D) 34
Answer:
the answear is C because if you multiply the last two boxes you get 24
Simplify
3x- 2z+- 2z- 4z- 3z
Answer: hi
The answer will be 3x−11z
Step-by-step explanation:
have a great day ^_^
the diffrence between two positive numbers is 7 and the square of thier sum is 289
Answer:
One of the Numbers is -151 and the other is -144
Step-by-step explanation:
Set up the equations then solve
javier walks from his home at point k to the internet cafe at point 0. if the school at point w is exactly halfway between javier's house and the internet cafe, how far does javier walk?
Answer:
actually need the numericals but attached
Step-by-step explanation:
if we take it as 1 km then it would be
home to cafe = 1 km
cafe to school =
[tex] \frac{1}{2} [/tex]
so it will be 1 + 1/2 that is
[tex]1 \frac{1}{2} km[/tex]
ok mark me as brainlist
15. If R is the midpoint of OS, OR = &r - 51 and RS = 3x - 6, find QS.
Only answer if right I need help
please solve and receive brain list
Answer:
26 = -28 - 12
Step-by-step explanation:
1. 12 x 1 - 12 x 3x
2. 8x - 36
Answer:
x = 1
Step-by-step explanation:
6x + 26 = 8x - 12(1 - 3x)
6x + 26 = 8x - 12 + 36x
6x + 26 = -12 + 44x
-6 + 6x + 26 = -12 + 44x - 6
26 = -12 + 38x
12 + 26 = -12 + 12 + 38x
38 = 38x
38/38 = 38x/38
1 = x
an orange paint mixture uses 3 cups of red paint for every 5 cups of yellow paint. how many cups of yellow paint will one cup of red paint be for.
respuesta : 8 espero tesirba
What is the equation of this line? ILL MARK BRAINLIST
A ~ y = -x + 2
b~ y = 2x -2
C ~ cannot be determined
D~ y = 2x + 2
a point its y-coordinate is zero
Answer:
so i am confusion-
whhhhhhhhhhhhhh-
Solve 1∕4p + 5∕6 = 2∕3 for p.
Question 1 options:
A)
–1∕24
B)
3∕8
C)
–2∕3
D)
6
Answer:
C) -2/3
Step-by-step explanation:
1/4p = 4/6 - 5/6
1/4p = -1/6
6p = -4
p = -4/6 or -2/3
Please help with this area
Answer:
L = 7 W= 12
Step-by-step explanation:
Ok so we already know that a rectangle is not even so the numbers will have to be 2 diff numbers.
The length is 5 feet less then width
w*l= 84
1* 84 2* 41 3*28 4*21 6*14 7*12
84-1 41-2 28-3 21-4 14-6 12-7
83 39 25 19 8 5
So,
your equation would be l*w = 7*12
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
PLEASEEEEEEEEEEEEEEEEEEEEEEEEE HELP MEEEEEEEEEEEEEEEEEEEEEEEE
1. Pia drew a circle with a circumference of C and a diameter of 14 in. Pia knows that , and she wrote the following equation to represent the value of .
(a) There is an error in Pia’s equation. Write an equation to correctly represent the value of . Show your work.
(b) Write an equation and find the circumference of the circle.
Answer:
Answer:
C = 14 x Pi
C = 14 x 3.14
C = 43.96 in
Answer:
Step-by-step explanation:
The answer to (A) is N/A and the answer to (B) is N/A again (Hope this helps!)
What the ratio of 25 and 50
Answer:
1:2
Step-by-step explanation:
ue
deg
отім . opea . 1əqo
Learning Task 1: Name a positive or
situation. Write your answer in your noteb
1. Saving 25php
2. 6 feet below the ground
3. what is the opposite of -6
4. When a player to a basketball team
against their opponent.
5. what is the sum of -8 + 8?
.
Answer:
1.+25
2 -6
3 +6
4.
5. 0
Step-by-step explanation:
Sana Makatulong
Find the length of BC.
Step-by-step explanation:
sin 60 = perpendicular / hypotenuse
sin 60 = BC / AB
sin 60 =. BC / 10
√3 / 2 = BC/ 10
BC = 5√3
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
find the product 27x3
Answer:
81
Step-by-step explanation:
2
27
x 3
------
8 1
Answer:
81
Step-by-step explanation:
27 × 3
81
234.2 in expanded form
Answer:
Expanded Notation Form:
234.2
=
200
+
30
+
4
+
0.2
Expanded Factors Form:
234.2
=
2 ×
100
+
3 ×
10
+
4 ×
1
+
2 ×
0.1
Expanded Exponential Form:
234.2 =
2 × 102
+
3 × 101
+
4 × 100
+
2 × 10-1
Word Form:
234.2 =
two hundred thirty-four and two tenths
help please i give the best one brainlyest
Answer:
The algebraic expression has one constant, 10.2, which is a number by itself. The variables, which are letters that stand for unknown values, are x and y. The coefficients, which are numbers that are multiplied to the variables, are
-1, -1/2, and 1. The terms that have an x are like terms.
Step-by-step explanation:hope this helps
pls help will give brainlest
Clara is running a bakery. She has made a street sign to direct people to her bakery. She painted one side of the post and sign. What is the painted area? 8 in 5 in 60 in 4 in O A. 324 square inches B. 344 square inches O C. 276 square inches O D. 240 square inches
Answer:
A. 324
Step-by-step explanation:
60 x 4 = 240
8 x 8 = 64
1/2 x (5 x 8)= 20
Add them then you get 324
