Continuity refers to the property of a function or a curve in which a small change in the input results in a small change in the output, while discontinuity is a break or interruption in a function or curve.
An example of continuity is the function f(x) = x^2, which is a continuous function because, for any value of x, there is a corresponding y-value that is obtained by squaring x. This means that if x changes slightly, the value of y will change in a corresponding way.
An example of discontinuity is the function g(x) = 1/x, which is a discontinuous function because it has a break or singularity at x=0, where the function is undefined. This means that there is a gap in the curve at x=0, and the function is not defined for any value of x that is equal to zero
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The function f(x) = x2 serves as an illustration of continuity because there is always a corresponding y-value that can be calculated by squareing x. This implies that if x marginally changes, the value of y will also change.
The function g(x) = 1/x, which has a break or singularity at x=0, where the function is undefined, is an example of a discontinuous function. This indicates that the curve has a gap at x=0 and that the function is not defined for any x value equal to zero.
I need help on 13. Please someone help me. Don’t put a link. Please help me.
Answer and Step-by-step explanation:
How to know if the side lengths can form a triangle:
Add together two of the lowest numbers. If it is greater than the largest number, it can form a triangle.
13. Yes, these side lengths can form a triangle.
-- 4 + 5 = 9.
-- 9 is greater than 7, the largest length.
14. No, these side lengths can't form a triangle.
-- 2 + 3 = 6
-- 6 is equal to 6, not greater than.
15. Yes, these side lengths can form a triangle.
-- 2 + 4 = 6
-- 6 is greater than 5, the largest number.
16. Yes, these side lengths can form a triangle.
-- Don't get confused when you see that there are two side lengths that are the same (it means that this is an isosceles triangle); the rules still apply.
-- 2 + 8 = 10
-- 10 is greater than 8, the largest number.
17. Yes, these side lengths can form a triangle.
-- 5 + 6 = 11
-- 11 is greater than 9, the largest number.
18. Yes, these side lengths can form a triangle.
-- 4 + 5 = 9
-- 9 is greater than 8, the largest number.
I hope this helps!!
#teamtrees #PAW (Plant And Water)
x(x+7)=0
how do you solve this?
Answer:
x=0,-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
see you have to add something that equalles 0 so any questions like this you put a negitive infront of the 7.
The ratio of boys to girls in a certain school is 2:3 calculate how many boys are there if there are 1500 learners in the school.
Answer:
700
Step-by-step explanation:
Answer:
the answer is 900 students
Step-by-step explanation:
if there are 5 parts to the ratio then take that and divide it by the total number of learners and then multply it by the ratio for the boys
can someone help me on this..
Answer:
step 2
Step-by-step explanation:
Answer:
Step 3
(as a result step 4 is also wrong)
Step-by-step explanation:
22 is wrong
It should be 16 + 18
Entire solution is given below:
[tex]28 \div 7 \times 4 + 18 \\ \\ = 4 \times 4 + 18 \\ \\ = 16 + 18 \\ \\ = 34[/tex]
Miranda is renovating her home and needs a $32,000 loan to pay for the renovations. The bank offers her a 4.8% annual compound interest rate if she pays it off in 3 to 5 years. How much more would Miranda pay for the 5 year loan than the 3 year loan?
Answer:
$3072
Step-by-step explanation:
The compound interest formula for the amount paid on the loan P = P₀(1 + rt/100) where P₀ = loan amount = $32,000, r = rate = 4.8 % per annum and t = time
For the 3 year loan, t = 3, So,
P = P₀(1 + rt/100)
P = $32,000(1 + 4.8 × 3/100)
P = $32,000(1 + 14.4/100)
P = $32,000(1 + 0.144)
P = $32,000(1.144)
P = $36608
For the 5 year loan, t = 5, So,
P' = P₀(1 + rt/100)
P' = $32,000(1 + 4.8 × 5/100)
P' = $32,000(1 + 24/100)
P' = $32,000(1 + 0.24)
P' = $32,000(1.24)
P' = $39680
So, the amount more Miranda pay for the 5 year loan than the 3 year loan is P' - P = $39680 - $36608 = $3072
In 3 years Miranda would pay $36,832.72.
In 5 years Miranda would pay $40,453.53.
Determine the value of |-3.5|
Complete the table and then graph the function,
y = 5x look at picture
Answer:
x Y
0 - 0
1 - 5
2 - 10
Step-by-step explanation:
First box is 0
next is 5
the last is 10
What is the least common denominator of 4 and 6?
Answer:
12
Step-by-step explanation:
From the above-given multiples of 4 and 6 is the multiple 12 is the smallest common multiple. Therefore, LCM. of 4 and 6 is 12.
ANSWER ASAP WILL GIVE BRAINLIEST
The focus of a parabola is (-4, -5), and its directrix is y = -1. What is the formula for the parabola in standard form.
Answer:
[tex](x - (-4))^2 = -8(y - (-3))[/tex]
[tex]Where\ p<0[/tex]
Step-by-step explanation:
From the question we are told that:
Parabola focus co-ordinates
[tex]F=(-4, -5)\\Directrix is y = -1[/tex]
Generally the equation for standard form of Parabola is mathematically given by
[tex](x - h)^2 = 4p(y - k)[/tex]
where p≠ 0
Generally the equation for Directrix of Parabola is mathematically given by
[tex]y=k-p\\y=-1[/tex]
Generally the equation for Focus of Parabola F is mathematically given by
[tex]F=(h, k + p).[/tex]
[tex]F=(-4, -5)[/tex]
Therefore
[tex]k-p=-1[/tex]
[tex]k=-1+p[/tex]
Given
[tex]k+p=-5[/tex]
[tex]-1+p+p=-5[/tex]
[tex]2p=-4[/tex]
[tex]p=-2[/tex]
Therefore
[tex]k-p=-1[/tex]
[tex]k-(-2)=-1[/tex]
[tex]k=-3[/tex]
Generally the equation for standard form of Parabola is mathematically given by
[tex](x - (-4))^2 = 4(-2)(y - (-3))[/tex]
[tex](x - (-4))^2 = -8(y - (-3))[/tex]
[tex]Where p<0[/tex]
is 5 a solution to 7x-4+x=12? Explain
Answer:
No, 5 isn't a solution to 7x - 4 + x = 12
Step-by-step explanation:
7x - 4 + x = 12
combine common x-values
8x - 4 = 12
add
8x = 16
solve for x
x = 2
Answer:
No, 5 is not the solution...
Step-by-step explanation:
7x-4+x=12
7x+x=12+4
8x=16
x=16/8
x=2 is the solution
what type of association is there ?
Answer:
no association because they all are in plcace
Leroy and his friends ate some birthday cake at his party. After the party 1/4
of the cake was left. Leroy's brother ate 2/3 of the left-over cake. How much
of the whole cake did his brother eat?
A: 1/6
B: 2/3
C: 5/6
D: 1/5
This question is an illustration of multiplication of fractions. The amount of eaten by Leroy's brother is [tex]\frac 16[/tex]
Given that:
[tex]L = \frac 14[/tex] ----- The left over
[tex]F = \frac 23[/tex] ----- The fraction eaten by Leroy's brother
The fraction of the whole cake (B) eaten by Leroy's brother is:
[tex]B = L \times F[/tex]
So, we have:
[tex]B = \frac 14 \times \frac 23[/tex]
Cancel out common terns
[tex]B = \frac 12 \times \frac 13[/tex]
[tex]B = \frac 16[/tex]
Hence, Leroy's brother ate [tex]\frac 16[/tex] of the whole cake
Learn more about multiplication of fractions at:
https://brainly.com/question/1928793
if f (x) =5x^{2} what is 3 f (x) ?
Answer:
15x²
Step-by-step explanation:
Given
f(x) = 5x² , then
3f(x) = 3 × 5x² = 15x²
Second part of my last question please help me!
Answer:
AC = 28
Step-by-step explanation:
ΔADB ≈ ΔDBC
DC / BC = AD / 15
16 / 20 = AD / 15
cross-multiply:
20AD = 240
AD = 12
AD + DC = AC
12 + 16 = AC
28 = AC
i need help with the graph problems,under the do now question
1. The emblem on a college banner consists of the face of a tiger
inside a right triangle. The lengths of two sides of the triangle are
13 centimeters and 14 cm.
What is the length of the longest side of the right triangle?
It is 15 cm I have the answer on my homework
Please answer with explanation and standard form
Answer:
2x - 7y = -34.
Step-by-step explanation:
As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be
-1 /(-7/2) = 2/7.
Now we find the point of intersection ofn the 2 given lines:
x + y = 10
3x - 4y = -12
Multiply the first equation by -3:
-3x - 3y = -30
Now add this last equation to the second one:
-7y = -42
y = 6
Plug y = 6 into the first equation:
x + 6 = 10
x = 4.
So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of straight line we have:
y - 6 = 2/7(x - 4)
7y - 42 = 2(x - 4)
7y - 42 = 2x - 8
2x - 7y = -42 + 8
2x - 7y = -34
Answer:
y=(2/7)x+(7/3)
Step-by-step explanation:
y=-7/2(x)+9
y=mx+c
Therefore, slope of line y is -7/2
Because line y perpendicular to the required line
Therefore, slope of the required line is 2/7
x+y=10 ........(1)
3x-4y = -12 ......(2)
(1) x 4:
4x+4y =40 ......(3)
(3) + (2)
4x+4y+3x-4y=28
x=4
by substituting x=4 into (1), we have
y=10-4=6
Therefore, the point that the line intersects is (4, 6)
let y=(2/7)x+c be the required equation
(4, 6):
6=(2/7)4+c
c=21/4
therefore, the required equation is y=(2/7)x+(7/3).
‼️ PLEASE HELPPPP ‼️
Mr. Jones has taken a survey of college students and found
that 40 out of 42 students studied last weekend. If the college
has 8,262 students, what is the best estimate of the number of
students who studied last weekend?
Answer:
B
Step-by-step explanation:
40/42 × 8,262
=7868.571429
=7869 students studied
Answer: C (depends on what order it’s in)
Step-by-step explanation:
40/42 × 8,262
=7868.571429
=7869 students studied
Sandra signed up for the gym during the spring special. Her credit card was charged $220.87. Is this the correct amount? Explain. A sign that says workout jazz spring special. Sign up now and get 12 months for just 16 dollars and 99 cents per month asterisk. The asterisk is given as paid in advance.
Answer:
No, this is not a correct amount. The correct amount is $203.88
Step-by-step explanation:
The computation of the credit card amount is shown below:
Given that
The credit card is $220.87
But if we calculate the credit card amount, so it would be
= 12 months × 16.99
= $203.88
hence, the credit amount is $203.88
And, the given amount is wrong
So, the correct amount is $203.88
What is the surface area of the shape DUE AT 10:15 AM
Answer:
196
Step-by-step explanation:
2 times 14 times 7=196
Hope this helps!
Please help me with this question
8v-4(v+8)=8
Answer:
v = -6
Step-by-step explanation:
(Optional): Simplify this equation by dividing all terms by 4:
2v - (v - 8) = 2
Perform the indicated multiplication, obtaining: 2v - v + 8 = 2
Next, combine like terms: v = -6
Find the distance between the pair of points N(-4,- 15), P(-4,-2) d = (Simplify your answer. Type an exact answer using radicals as needed)
Answer:
13
Step-by-step explanation:
Since the X points { (-4, -15), (-4, -2) } are the same, its just a matter of 15-2, which equals 13.
BRAINLIEST
a. 7 sqrt of 2
b. 14
c. 7
d. 7 sqrt of 3
Answer:
(a). 7√2
Step-by-step explanation:
WILL GIVE BRAIN LIST 4+8 diveded 2 x (6-3)
Answer:
16
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Use Pemdas
6 - 3 = 3
4 + 8 = 12
12 / 2 = 6
6 + 3 = 9
PLSSSSS HELPPP solve for x, round to nearest tenth
Answer:
17.6
Step-by-step explanation:
10 points! Brain person too!
The stem-and-leaf plot shows mandy’s math test scores. What is the median of her test score?
A- 88
B- 87
C- 85
D- 84
Answer: C
Step-by-step explanation:
All the numbers are 78, 80, 83, 84, 84, 86, 89, 91, 95, 100. That’s because for each row, you take the number in the first column, and create each score by putting one of the numbers in the second column next to the first number. The median is the number in the middle if you were to put them out in order. I already listed the numbers in order, and the middle numbers are 84 and 86, so the find the middle of those, you add them together and divide by 2. You get 85, a.k.a. option C.
Help meee i am stuck
Answer:
153.94 inches cubed
Step-by-step explanation:
plug in 7 as the radius
the formula is A = πr^2
6+6+5-6+2-7+10-1 divided by 3
Answer:
5
Step-by-step explanation: