Function g(x) has a removable discontinuity at x = c, where g(c) is undefined. Which statement describes the one-sided limits at x = c?
Answers
Answer:
B
Step-by-step explanation:
The function that describes the one-sided limits at x = c.
[tex]\lim_{x \to c^-} g(x) = a\\\\ \lim_{x \to c^-} g(x) = a[/tex] ( for some value of a).
What is removable discontinuity?A discontinuity is removable if the limit of the function at the point of discontinuity exists and the value of the function exists but they aren't equal to each other.
We can remove that discontinuity by making the value of the function equate to the limiting value of the function at that point.
Function g(x) has a removable discontinuity at x = c,
where g(c) is undefined.
In this case, the statement that's is true for g(x) is that you can remove the discontinuity at x = c by defining g(c) = a.
The function that describes the one-sided limits at x = c.
[tex]\lim_{x \to c^-} g(x) = a\\\\ \lim_{x \to c^-} g(x) = a[/tex] ( for some value of a).
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Related Questions
(-4/7) ÷(16/49)
Find the answer
Answers
Step-by-step explanation:
cross product. Ise the butrerfly or cross and bones method. Multiply -4 and 49. Put that in the numerator. Then multiply 7 and 16. Put that in the denominator. Then reduce if u can.
In kickboxing, it is found that the force, f, needed to break a board, varies inversely with the length, l, of the board. If it takes 15 pounds of pressure to break a board that is 7 feet long, how many pounds of pressure will it take to break a board that is 5 feet long?
Answers
Answer:
21 pounds
Step-by-step explanation:
Given that f varies inversely with l then the equation relating them is
f = [tex]\frac{k}{l}[/tex] ← k is the constant of variation
To find k use the condition f = 15 when l = 7, then
15 = [tex]\frac{k}{7}[/tex] ( multiply both sides by 7 )
105 = k
f = [tex]\frac{105}{l}[/tex] ← equation of variation
When l = 5 , then
f = [tex]\frac{105}{5}[/tex] = 21 pounds
During the first leg of a backpacking trip, a group of hikers covered 10.4 miles in 3 hours and 1 minute. The next day, the group hiked 8.6 miles in 3 hours and 47 minutes. What was the group's average speed over the two days? Answer as a decimal rounded to the nearest tenth.
Answers
Answer:
2.79 mi/hr ( for the time they were actually moving)
Step-by-step explanation:
average speed = total distance / total time
= ( 10.4 + 8.6 mi) / ( ( 181 + 227 min )/60 min/hr) =2.79 mi/hr
Kellan’s lemonade recipe uses 4 scoops of lemonade powder for every 2.5 cups of water. Kellan uses 10 scoops of lemonade powder to make a batch of lemonade. How much water should he use?
Answers
Answer:
6.25 cups of water
Step-by-step explanation:
So I first write out the rates: 4:2.5 and also 10:?
So let's find out how the scoops changed, as in how did you get 4 to become 10 so you can do the same thing to 2.5 and get ?.
To go from 4 to 10 you MULTIPLY/DIVIDE. DON'T ADD OR SUBTRACT. 10 divided by 4 (to see what you multiplied by) is 2.5.
So we multiplied 4 by 2.5 to get 10. So if we multiply 2.5 by 2.5 we get 6.25.
So 4:2.5 = 10:6.25
?=6.25
Hope this helps!
Which equation represents a line with a slope of 4 and goes through (5, 2)?
Answers
Answer:
y=4x-18
Step-by-step explanation:
y-2=4(x-5)
y-2=4x-20
y=4x-18
solve 68 x (-19) + (-68) using distributive property
Answers
Answer:
-1360
Step-by-step explanation:
factor the expression : 68(-19-1)
calculate the difference ; 68 x ( -20 )
multiply the numbers ; -1360
solution ; -1360
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.
Part A: Write a system of equations to represent the given scenario. Use the variables "s" for senior citizen tickets and "c" for child.
Part B: Solve the system of equations from Part A algebraically. Show your work.
Part C: Explain what the solution to the system of equations represents in context of the problem. Hint: You will need to put words here, not an equation.
Answers
Answer:
The school took in $52 on there second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen
Step-by-step explanation:
solve the following quadratic equation by completing the square
Answers
Step-by-step explanation:
x=-14 plus/minus squared root of 1394 over 7
what would y=x +5 look at on a graph
Answers
On a bicycle, DaNeeka rides for 6 hours and is 68 miles from her house. After riding for 12 hours, she is 134 miles away. what is her rate ?
Answers
Answer:
Step-by-step explanation:
Can someone explain to me an easy way to divide fractions? I can't seem to understand it.
Answers
Answer:
Flip the second fraction and multiply across
ex: 5/4 divided by 3/6
5/4 * 6/3
5*6 / 4*3 = 30/12
5/4 divided by 3/6 = 30/12
Step-by-step explanation:
Which of these numbers is irrational?
O A. 6/17
O B. 5
O c. 1.4
O D. -4.99
Answers
Mila invested $1,500 in an account in the year 2010, and the value has been growing exponentially at a constant rate. The value of the account reached $2, 100 in the year 2015. Determine the value of the account, to the nearest dollar in the year 2024.
Answers
Answer:
$3867.80
Step-by-step explanation:
f(x)=a(1+r)^{x}
f(x)=exponential growth function
a=initial amount
r=growth rate
{x}=number of time intervals
so let x=years
start amount is 1,500
1,500(1+r)^5=2100
(r+1)^5= 7 /5
((r+1)5) ^1 /5 =( 7 /5 ) ^1 /5
r=0.06961
which is rounded 7 percent growth rate
2024-2010=14 years
1,500(1+0.07)^{14}=
3867.801225
Now round cause it's money
$3867.80
is it right? and if so what would the equation be (i’m rlly bad at this stuff)
Answers
Answer:
you're right
Step-by-step explanation:
when a slope is equal to 0 that makes it undefined
what is equation of straight line shown below give answer in form y=mx+c where m and c are intervenes or fractions in simplest form
Answers
The gradient is can be calculated as 6/3, and the y-intercept is 6
The equation of the straight line is y = 2x + 6.
What is an equation of a line?An equation of a line is a mathematical expression that describes the relationship between the x and y coordinates of the points on the line. There are several different forms of the equation of a line, but the most commonly used is the slope-intercept form:
y = mx + b
where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
We have,
To find the equation of the straight line passing through the points (-3, 0) and (0, 6), we can use the slope-intercept form of a linear equation, which is:
y = mx + c
where m is the slope of the line and c is the y-intercept.
We can first find the slope of the line using the formula:
[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]
[tex]where ~(x_1, y_1) = (-3, 0) ~and ~(x_2, y_2) = (0, 6):[/tex]
So,
m = (6 - 0) / (0 - (-3)) = 6/3 = 2
Now we can substitute the slope and one of the points into the slope-intercept form to find the y-intercept:
y = mx + c
0 = 2(-3) + c
0 = -6 + c
c = 6
Therefore,
The equation of the straight line is y = 2x + 6.
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The scale on a map is 0.25 inches : 1¾ miles. If two cities are 1.8 inches apart on the map, what is the real life distance between them?
Answers
Answer:
12.6 miles I think. I would wait for another answer to be possitive.
Find the missing angle in the triangle below
Answers
180 - 65 - 57 = 58 which is the missing angle
A triangle is equal to 180.
65+57=122
122+58=180
The answer is A.
Select an equation to solve the problem. Then solve. Joaquin is saving $369 to buy a surf board. He saved $9 each week for 11 weeks. He wants to buy the surf board in 9 more weeks. How much does Joaquin need to save each week? Let m be how much money Joaquin needs to save each week. Select an equation to solve the problem. ? Solve the equation. M = Answer the question. Joaquin needs to save $ each week.
Answers
Answer:
[tex]9m = 270[/tex]
[tex]m = \$30[/tex]
Joaquin needs to save $30 each week.
Step-by-step explanation:
Total money required for buying a surf board = $369
Money saved every week for first 11 weeks = $9
Total money saved in first 11 weeks = 11 [tex]\times[/tex] 9 = $99
Joaquin wants to buy the surf board in 9 more weeks.
To find:
Money to be saved each week for the next 9 weeks so that the surf board can be bought?
Solution:
Let the money to be saved each week for the next 9 months = $[tex]m[/tex]
Total money to be saved in the next 9 months = $9[tex]m[/tex]
Now, let us find the remaining amount of money to be saved by subtracting the total money saved from the cost of surf board. And then compare it with $9[tex]m[/tex].
[tex]369 - 99 = 9m\\\Rightarrow 9m = 270[/tex]
Solving the equation, we get:
[tex]m = \$30[/tex]
Therefore, Joaquin needs to save $30 each week.
a box has dimensions of 3.5 cm by 4.0 cm by 8.0 cm. the volume of the box in milliliters and liters is:
Answers
Step-by-step explanation:
3.5cm===> 35mm===> 3.5e–6 lit
4.0cm===> 40mm===> 4.0e–6 lit
8.0cm===> 80mm===> 8.0e–6 lit
V(mm)=35×40×80=112000mm³
V(lit)=(3.5×4.0×8.0)×e–6=112e–6lit³
A 45 foot tall tree casts a shadow that is 58 feet long. Find the measure of the angle of elevation of the sun from the tip of the shadow to the top of the tree. Round your answer to the nearest degree.
Question options:
A 90
B 38
C 45
D 52
Answers
Answer:
d
Step-by-step explanation:
Joe bidenisapedophi and likes little children recomend u stay away from the freak
The sum of the angles in a triangle are 180 degrees. Find the value of the variable, then find the angle measures of a polygon.
Answers
Answer:
15=x 5x=75
Step-by-step explanation:
90/6=15
6 is how many x's there are in total meaning that 1 x = 15
15*5=75 so one angle is 15 while the other is 75
75 + 15= 90
90+90=180 getting you the 180 degrees
!!ONLY TWO QUESTIONS!!
(Also only answer if u know it. Have a good night btw)
This really matters to me so please help idk what to do
What is the main difference between vascular and non-vascular plants? *
Suppose you find a plant that has a woody stem and is taller than you. Would you classify the plant as vascular or non-vascular. Explain. *
-science
Answers
Answer:
The main difference between a vascular and a non-vascular plant is that a vascular plant has vessels that can carry food and water to all the other parts of the plant. the arrangements of the cell in a non-vascular plant is also a lot simpler.
Step-by-step explanation:
I would classify the plant as vascular because vascular plants tend to be really tall and large in comparison to non-vascular plants.
which choice is equivalent to the expression below? ^-64
Answers
Answer:
A. 8i
General Formulas and Concepts:
Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
√-64
Step 2: Evaluate
Factor: √-1 · √64Simplify: i · 8Multiply: 8iThe lengths of the four sides of a quadrilateral (in inches) are consecutive integers. If the perimeter is 110 inches, find the value of the longest of the four side lengths.
Answers
The longest side of the quadrilateral (in inches) is 29 inch.
Here,
The lengths of the four sides of a quadrilateral (in inches) are consecutive integers.
The perimeter is 110 inches.
We have to find the value of the longest side of the four side lengths.
What is Perimeter of quadrilateral?
The sum of all length of sides of a quadrilateral is called the Perimeter of quadrilateral.
Now,
The lengths of the four sides of a quadrilateral (in inches) are consecutive integers.
Let the length of quadrilateral are;
x, x + 1, x + 2 and x + 3
The longest length = x + 3
Since, The perimeter is 110 inches.
Hence,
x + (x + 1) + (x + 2) + (x + 3) = 110
x + x + 1 + x + 2 + x + 3 = 110
4x + 6 = 110
4x = 110 - 6
4x = 104
x = 26 inch
Hence, The longest length = x + 3 = 26 + 3 = 29 inch
Therefore, The longest side of the quadrilateral (in inches) is 29 inch.
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Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Answers
Answer:
I think: 0 = 3x + b or b = -3x + 0 or x = -b + 0/3 or 3 = -b + 0/x
Sorry if you get this wrong..
Find the value of (2x - 2y)/x when x = - 4 and y = - 3
Answers
Answer:
1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(2x - 2y)/x
x = -4
y = -3
Step 2: Evaluate
Substitute: (2(-4) - 2(-3))/-4Multiply: (-8 + 6)/-4Add: -2/-4Simplify: 1/2If you don't know it, don't answer it.
Describe the vertical line test.
A: If a vertical line can be drawn anywhere in the graph the line will pass through the graph in more than one spot.
B: If a vertical line can be drawn anywhere in the graph the line will pass through the graph in only one spot.
C: If the graph is a vertical line, it is a function.
D: If the graph is not a vertical line, it is a function.
Answers
Answer:
B
Step-by-step explanation:
Vertical line test = if u draw a vertical line in the graph and it passes through the graph lines once. then it passes. The option that represents this is B.
Hope this helps plz hit the crown :D
Answer:
It's definitely B.
Step-by-step explanation:
Plzz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
12.50
Step-by-step explanation:
i think
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Point P is located at (–3, –2). P is reflected across the x-axis to create P'. What quadrant is P' in?
Answers
Victor is attending a local fair and wants to go on at least 12 rides. The spinning rides cost $2 each, and the roller coasters cost $3 each. Victor has $30. Write a system of inequalities to determine if the combination of 6 spinning rides and 7 roller coasters is viable.
A. x+y≥12
2x+3y≤30
The combination of 6 spinning rides and 7 roller coasters is viable.
x+y≥12
2x+3y≥30
B. The combination of 6 spinning rides and 7 roller coasters is viable.
x+y≥12
2x+3y≤30
C. The combination of 6 spinning rides and 7 roller coasters is not viable.
x+y≥12
2x+3y≥30
D. The combination of 6 spinning rides and 7 roller coasters is not viable.
Answers
Answer:
B?
Step-by-step explanation: