The function of the graph which is not connected with each other is known as a discontinuous function. A function f(x) is said to have a discontinuity of the first kind at x = a, if the left-hand limit of f(x) and right-hand limit of f(x) both exist but are not equal.
The function is an expression or law that defines a relationship between one variable and the independent variable and another variable the dependent variable
The independent variable is the variable being controlled in the problem, and the dependent variable is the variable that changes because of this control
Some examples of a discontinuous function
f(x) = 1 / (x - 2)
f(x) = tan x
f(x) = x2 - 1
For x < 1 and f(x) = x3 - 5 for 1 < x < 2
To learn more about the Discontinuous Process visit:
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A relationship between one variable, the independent variable, and another variable, the dependent variable, is defined by an expression or law known as the function.
The variable being controlled in the problem is the independent variable, and the variable that changes as a result of this control is the dependent variable.
f(x) = 1 / (x - 2)
f(x) = tan x
f(x) = x2 - 1
For x < 1 and f(x) = x3 - 5 for 1 < x < 2
The radius of a circle is 5 m. Find its circumference in terms of \piπ.
Answer: C≈ 31.42m
C=2πr=2·π·5≈31.41593m
Step-by-step explanation: hope this helps
system of equations ... SOLVE ASAP PLEASE.
Answer:
Step-by-step explanation:
Solve 2x−9y=14;−5x+9y=−8
Steps:
I will solve your system by substitution.
(You can also solve this system by elimination.)
2x−9y=14;−5x+9y=−8
Step: Solve2x−9y=14for x:
2x−9y+9y=14+9y(Add 9y to both sides)
2x=9y+14
2x
2
=
9y+14
2
(Divide both sides by 2)
x= 9
2
y+7
Step: Substitute
9
2
y+7forxin−5x+9y=−8:
−5x+9y=−8
−5(
9
2
y+7)+9y=−8
−27
2
y−35=−8(Simplify both sides of the equation)
−27
2
y−35+35=−8+35(Add 35 to both sides)
−27
2
y=27
−27
2
y
−27
2
=
27
−27
2
(Divide both sides by (-27)/2)
y=−2
Step: Substitute−2foryinx=
9/ 2
y+7:
x= 9/ 2 y+7
x= 9/ 2 (−2)+7
x=−2(Simplify both sides of the equation)
Answer:
x=−2 and y=−2
Infanite many solutions
How much water will a cone hold that has a diameter of 6 inches and height of 21 inches. Use 3.15 pie and round your answer to the nearest whole number
Answer:
volume = 595 in³
Step-by-step explanation:
radius = 6/2 = 3
volume = 3.15(3²)(21) = 595.35 in³
(5x-14)=51 how do I find x
Answer:
simply add
Step-by-step explanation:
Answer:
Step-by-step explanation:
(5x - 14) = 51
expand
5x - 14 = 51
group liked terms
5x = 51 +14
5x = 65
divide through by 5
5x÷5 = 65÷5
x= 13
help me please aaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
v=-16
Step-by-step explanation:
-2=2+v/4
(we know that 2+-4=-2 so we can see if that works)
(4*-4=-16)
2+-16/4=-2
(-16/4=-4)
2+-4=-2
If an official NBA basketball has a circumference of 29.5 inches, what is the approximate volume in cubic inches?
19.66
92.34
321.75
433,63
Around 433.63 would be the correct answer
Help I will mark brain list!!!!!
Answer: I'm not sure exactly how you want this answered.
Step-by-step explanation:
Just by simplifying the expression, I got [tex]\frac{a^{2}xy }{2} +a^{3}x-\frac{3x^{2} y}{5} -ay^{2}[/tex]
Included picture
Question is not hard so please answer correctly
Answer:
SometimesStep-by-step explanation:
The product of two irrational numbers is sometimes rational.Answer:
sometimes
Step-by-step explanation:
The following examples to illustrate
[tex]\sqrt{2}[/tex] is irrational
[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 ← which is rational
[tex]\sqrt{3}[/tex] is irrational and
[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = [tex]\sqrt{6}[/tex] ← which is irrational
Result is therefore sometimes
Y=x^(2)-12x+36
Please explain step by step
Step-by-step explanation:
♡︎♡︎♡︎♡︎♡︎♡︎♥︎♥︎♡︎♥︎
Help me please , will mark
The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum
Answer:
Step-by-step explanation:
The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum
The formula for Simple Interest = PRT
From above question, we have to find the Principal
The simple interest on a certain sum for 5years at 8% per annum is Rs200
Hence,
R = 8%
T = 5 years
Rs 200 = P × 8% × 5
P = 200/8% × 5
P = Rs500
The principal = Rs 500
The simple interest on the same sum for 3years and 4months at 18% per annum.
Simple Interest = PRT
R = 18%
T = 3 years and 4 months
Converted to years
T = 3 + (4 months/12 months)
T = 3.33 years
Hence,
Simple Interest = Rs 500 × 18% × 3.33 years
= Rs 299.7
Calculate the radian measure of a 30 degree angle. Use any method you like, including sketching in the circle diagram provided. Explain or show your reasoning.
Answer:
The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.
Step-by-step explanation:
A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:
[tex]x = \frac{30^{\circ}}{360^{\circ}}\times 2\pi[/tex]
[tex]x = \frac{\pi}{6}\,rad[/tex]
The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.
16x−12−24x+4
Explain your reasoning.
Answer:
-8x-8
Step-by-step explanation:
Since 16x and -24x have like variables, we can subtract to get -8x. Then, we can add the constants to get -8.
Step-by-step explanation:
16x-12-24x+4
=16x-24x-12+4
=8x-8
ABCD is a rectangle with BC =63 and AB = 84. Find each measure.
Answer:
8. 90°
9. 18°
10. 18°
11. 105
If correct I’ll give brainlist
the correct option is (1,0)
SOMEONE HELPP PLSS QUICK
In what direction is the line containing the point (3, 3) and (1,3) going?
Answer:
Horizontal (Braniest pls)
Step-by-step explanation:
Since (3,3) and (1,3) is on the same line, it is moving horizaontally (Braniest pls)
answer the picture first then answer my second question lot of points
The angle measures in a triangle are 25°, 135°, and 20°. What type of triangle is it?
A. isosceles triangle
B. obtuse triangle
C. right triangle
D. acute triangle
Answer:
ec and obtuse triangle
Ben's living room is a rectangle measuring 12 yards by 192 inches by how many feet does the length od the room exceed the width?
Plzzz help me asappp I’m begging you
I don’t know I need help
Answer:
[B] 9.8 Cubic FeetExplanation:
Formula: πr²ʰ⁄₃Radius: 1.9
Height: 2.6
π: 3.14
Formula: V = 1.9²ʰ⁄₃ = 3.14 · 1.9² · 2.6 / 3 = 9.829Round: 9.8
Mihn invested $1,479.81 last year. What is the place value of the 8 in 1,479.81?
thousands
tens
tenths
thousandths
Someone please help I’m begging you
Answer:
Graphical method
Amiera has 3/4 of a bag of cat food. Her cat eats 1/10 of a bag per week. How many weeks will the food last?
Answer:
Step-by-step explanation: lets say the fod is chicken 3/4 is 75 out of 100 1/10 out of 100 is 10 lets see how many times we can take 10 out of 75 .
you can do it 7 time because 7 rimes 10 is 70 meaning that you have 7 weeks
and half a week hope this helps B)
Which correlation coefficient would most likely show a weak negative association?
A: -0.07
B: -0.88
C: 0.09
D: 0.91
Answer:
Step-by-step explanation:
We can use the regression line to model the linear relationship between x and y ... x and y because the correlation coefficient is not significantly different from zero. ... If r is significant and the scatter plot shows a linear trend, the line can be used to ... If r < negative critical value or r > positive critical value, then r is significant.
The enrollment in 1st period band class went from 20 to 26 in a month. Find the percent change.
Answer: the answer is 4/7 your welcome
WILL MARK BRAINLIEST WHOEVER ANSWERS CORRECTLY
Answer:
Step-by-step explanation:
Let the relation between the total number of candies (y) and number of bags (x) is,
y = mx + b
Here, b = Extra pieces of candies sitting outside the box.
m = Candies per box
From the question,
x = 4,(Number of bags are 4)
y = 4m + 4
If total number of candies are 36,
36 = 4m + 4
4m = 32
m = 8
Each bag will contain 8 candies.
Therefore, equation representing the relation is,
y = 8x + 4
Now complete the table by substituting the values of x,
x y
1 12
2 20
3 28
4 36
5 44
6 52
7 60
8 68
9 76
10 84
Please answer with explanation
Answer:
2000 feet.
Step-by-step explanation:
Let the length of fence need be x feet.
Then we have the equation:
2lx = 19x + 4000
21x - 19x = 4000
2x = 4000
x = 2000.
Please help me I am having a hard time with this activity
Answer:
Step-by-step explanation:
b.
[tex]\frac{a^2+6a+9}{a^2-9} *\frac{3a-9}{a+3} \\=\frac{a^2+2*a*3+3^2}{a^2-3^2} *\frac{3(a-3)}{a+3} \\=\frac{(a+3)^2}{(a+3)(a-3)} *\frac{3(a-3)}{a+3} \\=\frac{3(a+3)^2}{(a+3)^2} \\=3[/tex]
d.
[tex]\frac{3x^2-6x}{3x+1} *\frac{x+3x^2}{x^2-4x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x^2-2x-2x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x(x-2)-2(x-2)} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{(x-2)(x-2) } \\=\frac{3x^2}{x-2)}[/tex]
e.
[tex]\frac{2x^2-10x+12}{x^2-4} *\frac{2+x}{3-x} \\=\frac{2[x^2-5x+6]}{x^2-2^2} *\frac{2+x}{-(-3+x)} \\=\frac{2[x^2-2x-3x+6]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2[x(x-2)-3(x-2)]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2(x-2)(x-3)}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2}{-1} \\=-2[/tex]
k.
[tex]\frac{6x^2-11x-10}{6x^2-5x-6} *\frac{6-4x}{25-20x+4x^2} \\=\frac{6x^2-15x+4x-10}{6x^2-9x+4x-6} *\frac{-4x+6}{4x^2-10x-10x+25} \\=\frac{3x(2x-5)+2(2x-5)}{3x(2x-3)+2(2x-3) } *\frac{-2(2x-3)}{2x(2x-5)-5(2x-5)} \\=\frac{(2x-5)(3x+2)}{(2x-3)(3x+2)} *\frac{-2(2x-3)}{(2x-5)(2x-5)} \\=\frac{-2}{2x-5}[/tex]
Solve the system of equations by substitution. * -8x + 2y = 4 y = 4x + 2
Answer:
Step-by-step explanation:
-8x + 2y = 4
y = 4x + 2
Put the value of y into the first equation
-8x + 2(4x + 2) = 4 Remove the brackets
-8x + 8x + 4 = 4 The 8xs cancel out.
4 = 4 But this is useless. There is no single solution
If y varies directly with x. and y=10 when x=5.6, find the value of y when
X=3
Answer: 5.3571
Step-by-step explanation:
The formula used to calculate direct proportion is: y = kx
We will find the constant of proportionality when y=10 and x=5.6. This will be:
y = kx
10 = 5.6k
k = 10/5.6
k = 1.7857143
The value of y when X=3 will be:
y = kx
y = 1.7857143 × 3
y = 5.3571
please answer asap!
which inequality matches this graph?
Answer:
D
Step-by-step explanation:
The point on the Number line is a closed( shaded circle) So it will include a greater than or equal sign. Since the arrow is pointing right it will be B is greater than/ equal to 135. if the arrow was pointing the opposite way it would be less than or equal to symbol.