Solve This Mathematical Term
The reason of discontinuity of the given function is described below.
Since we know that,
A continuous function, as the name implies, is one whose graph is continuous with no breaks or jumps. In other words, if we can draw the curve (graph) of a function without ever raising a pencil, we may claim that the function is continuous. The study of a function's continuity is critical in calculus because a function cannot be differentiable unless it is continuous.
A function is considered continuous if its graph is an uninterrupted curve with no holes, gaps, or breaks.
Now by mathematical definition of continuity
Left hand limit of a function at any point = right hand limit of function at that point = value of function at that point
Now from the graph we can see that,
At point point 3
The left hand limit and right hand limit are not equal and also the curve is discontinuous.
Hence, the given function is discontinuous function.
To learn more about graph of function visit:
https://brainly.com/question/12934295
#SPJ1
Ecuaciones
A: 7=5-×
B: ×-2=-16
C: -8=4.×
D: ×.2=-6
Step-by-step explanation:
A:x=5-7
x=-2
B:x=-16+2
x=-14
l have answered only A and B
Describe how to transform the graph of f into the graph of g.
f as a function of x is equal to the square root of x and g as a function of x is equal to the negative square root of x
Screenshot below that is much clearer
9514 1404 393
Answer:
reflect it over the x-axis
Step-by-step explanation:
When g(x) = -f(x), it means the graph of f(x) has been reflected over the x-axis to make the graph of g(x). Each y-value for g(x) is the opposite of the corresponding y-value of f(x).
hello plsss nowww ahhh
Answer:
3 soaps and 2 toothbrushes
Step-by-step explanation:
36/12=3 soaps, 24/12= 2 toothbrushes
Answer:
Step-by-step explanation:
The greatest common factor of 24 and 36
24=2(2)2(3), 36=2(2)3(3), common factor of 2(2)3=12
So he will make 12 packages having 2 tooth brushes and three soaps in each.
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
for more such question on graph visit
https://brainly.com/question/19040584
#SPJ8
What is the area of the trapezoid?
80 m²
96 m²
100 m2
120 m²
Answer:
Step-by-step explanation:
A=100
There exists a similarity transformation that maps AABC to AA'B'C'. The measure
of ZAis 68°, and the measure of ZBis 46°. What is the measure of ZC'in
degrees?
Answer:
∠C' = 66°
Step-by-step explanation:
Because triangles ABC and A'B'C' are similar, their angles are still the same; only their side lengths are different, though still proportionate.
Hence, ∠A = ∠A', ∠B = ∠B', and ∠C = ∠C'.
Here, we're given that ∠A = 68, which means ∠A' = 68; we also know that ∠B = 46, so ∠B' = 46.
We want to find C', so remember that all angles in a triangle sum to 180:
∠A' + ∠B' + ∠C' = 180
68 + 46 + ∠C' = 180
114 + ∠C' = 180
∠C' = 66°
Answer:
∠C' = 66°
Step-by-step explanation:
∠A' + ∠B' + ∠C' = 180
68 + 46 + ∠C' = 180
114 + ∠C' = 180
∠C' = 66°
Let P(x) = -50x+20,000x-1,5000,000 represent the profit function for manufacturing a particular model of recreational
vehicle (RV) and x represent the number of RVS produced monthly. Use a compound inequality to state the range of the
number of RVs that need to be sold each month for the company to make a profit.
O 0
100
200
none of the answer choices
O 0
O 100
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.
The profit function is given by P(x) = -50x + 20,000x - 1,500,000.
To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:
-50x + 20,000x - 1,500,000 > 0.
Combining like terms, we have:
19,950x - 1,500,000 > 0.
Now, let's solve this inequality for x:
19,950x > 1,500,000.
Dividing both sides by 19,950, we get:
x > 1,500,000 / 19,950.
Simplifying the right side, we have:
x > 75.
The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
for such more question on range
https://brainly.com/question/30389189
#SPJ8
answer and get brainliest
Answer:
50
Step-by-step explanation:
4 x 1=4
2.5 x 5=12.5
12.5 x 4=50
So 50 is the answer can i have brainliest now please
At 8p.m., the temperature was -9 degrees Fahrenheit. Over the next five hours, the temperature dropped by 18 degrees. What is the temperature after five hours?
Answer:
-27 if im reading the question right.
Step-by-step explanation
A convex lens with focal length f centimeters will project the image of an object on a
point behind the lens. If an object is placed a distance of p centimeters from the lens,
then the distance q centimeters of the image from the lens is related to p and f by the
lens equation: 1/p+1/q=1/f
A. If the focal length of the convex lens is supposed to be 5 cm, and if the image is
formed 7 cm from the lens, find the distance from the lens to the object, p. (It’s not necessary to simplify your answer.)
B. Find an expression that gives q as a function of p, assuming that the focal length is a constant of 5 centimeters.
C. Sketch a graph of q as a function of p (i.e., q(p)), assuming that the focal length is a
constant of 5 centimeters. Show any important features of the graph.
D. Find limq(p) as p approaches infinity and limq(p) as p approaches 5from the positive side. What do these limits represent physically? What must
happen to the distance of the image and the object?
Answer:
A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:
1/p + 1/7 = 1/5
Multiplying both sides by 35p, we get:
35 + 5p = 7p
Simplifying and rearranging, we get:
2p = 35
Therefore, the distance from the lens to the object, p, is:
p = 35/2 cm
B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:
1/q = 1/f - 1/p
Substituting f = 5 cm, we get:
1/q = 1/5 - 1/p
Multiplying both sides by 5qp, we get:
5p = qp - 5q
Simplifying and rearranging, we get:
q = 5p / (p - 5)
Therefore, the expression that gives q as a function of p is:
q = 5p / (p - 5)
C. Here is a sketch of the graph of q(p):
The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.
D. Taking the limit of q as p approaches infinity, we get:
lim q(p) = 5
This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.
Taking the limit of q as p approaches 5 from the positive side, we get:
lim q(p) = -infinity
This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.
In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.
95% of what number is 114?
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
What is the range of the function shown on the graph
Answer:
-2<=y<=-7
Step-by-step explanation:
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6
Determine whether each ordered pair is a solution of the equation y=2x+6
The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.
Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.
If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).
Here, x = 1 and y = 8.Substituting these values in the given equation,
we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,
the ordered pair (1, 8) is a solution of the equation y = 2x + 6.
Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12
To learn more about : equation
https://brainly.com/question/17145398
#SPJ8
suppose you have 13000 to invest. Which of the two rates will yield the largest amount in 1 year 10% compounded daily or 9.86% compounded continuously
Given:
Invest Amount = 13000
Time = 1 year
Compound daily = 10%
Compound continuously = 9.86%
Sol:
The compound interest formula is:
\(A=P(1+\frac{r}{n})^{nt}\)Where,
\(\begin{gathered} A=\text{ Amount after ''n'' year.} \\ P=\text{ Principal amount } \\ r=\text{ Rate} \\ n=\text{ Number of time in compounded per year.} \\ t=\text{ Number of years} \end{gathered}\)\(\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \\ A=13000(1+\frac{0.1}{365})^{365\times1} \\ \\ A=13000(1+2.74\times10^{-4})^{365} \\ \\ A=13000(1.000274)^{365} \\ \\ A=13000\times1.1052 \\ \\ A=14367.025 \\ \end{gathered}\)So the amount is 14367.025
(b)
When compounded continuously.
\(\begin{gathered} A=P\times e^{rt} \\ \end{gathered}\)\(\begin{gathered} A=P\times e^{rt} \\ \\ A=13000\times e^{(0.0986\times1)} \\ \\ A=13000\times2.68 \\ \\ A=34846.38 \end{gathered}\)So the amount is 34846.38
One mile is equal to 5,280 feet. What is the sum of the lengths of all 18 holes on the golf course in miles?
Answer:
the answer would be 4 Miles.
explanation:
We already know that 5,280 feet equals 1 Mile, and so we divide-
21,120 divided by 5,280, and that equals 4.
hope that made sense! I’m not very good with wording things! :)
Answer:
4 miles
Step-by-step explanation:
5280 feet = 1 mile 21120 feet = 21120/5280= 4 miles
When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
NISS Wednesday fehruny 2012 PERCENTAGES and a 1. An insurance agent receives a salary of Ghc550 and a 2 % Commission. on all sales over Ghc8500.00 If his total income in a particular month was GHc 9500.00, what
was the total amount the received at the end of the month
The total amount received at the end of the month is given as follows:
Ghc 570.
How to obtain the total amount?The total amount is obtained applying the proportions in the context of the problem.
The salary is divided as follows:
Fixed salary of Ghc 550.Commission of 2% on all sales over Ghc 8500.The person had Ghc 9500 in sales, which is 9500 - 8500 = 1000 Ghc over 8500 Ghc, hence the total amount received is obtained as follows:
550 + 0.02 x 1000 = Ghc 570.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
many solutions or no solutions -2(x-2)-4x=3(x-1)-9x
∑ Hey, claudiavg2000 ⊃
Answer:
No solutions.
Step-by-step explanation:
Given:
-2(x-2)-4x=3(x-1)-9x
Solve:
-2 ( x - 2 ) - 4x : -6x + 4
3(x - 1) - 9x : -6x - 3
Now we have;
-6x + 4 = -6x - 3
Subtract 4 from both sides:
-6x + 4 - 4 = -6x - 3 - 4
-6x = -6x -7
Add 6x to both sides:
-6x + 6x = -6x - 7 + 6x
Simplifying:
0 = -7
As you can see the sides are not equal.
Hence, This problem has no solution.
xcookiex12
8/18/2022
FIND THE VERTEX AND GRAPH THE PARABOLA OF
F(x) = -2X^2 - 8X + 3
(minus 2x squared minus 8x plus 3)
════════ ∘◦❁◦∘ ════════
Answer : (-2,11)════════════════════
Known thaty = -2x² - 8x + 3
════════════════════
Way to do + explanation#First, find the x coordinate first by using the formula of -b/2a
x = -b/2a = -(-8)/2(-2) = 8/-4 = -2
#After getting the x, find the y
y = -2(-2)² - 8(-2) + 3
y = -2×4 +16 + 3
y = -8 + 16 + 3
y = 11
So the vertex is
(-2,11)
════════════════════
Answer:
the vertex is (-2, 11)
Step-by-step explanation:
F(x) = -2X^2 - 8X + 3 can be rewritten as -2(x^2 + 4x) + 3.
We complete the square of x^2 + 4x, obtaining x^2 + 4x + 4 - 4 = (x + 2)^2 - 4
and then we substitute this last result into F(x) = -2(x^2 + 4x) + 3:
F(x) = -2[ (x + 2)^2 - 4 ] + 3, which simplifies to:
F(x) = -2(x + 2)^2 + 8 + 3, or F(x) = -2(x + 2)^2 + 11
Comparing this to the vertex equation (x + h)^2 + k, we see that h must be -2 and k must be 11.
Thus, the vertex is (-2, 11).
Please help
See the picture
Line A , B , C OR D ?
Help
Answer:
It's the one on the bottom left
Step-by-step explanation:
Simplify the square root:square root of negative 72 end rootAnswer choices Include:2 i square root of 186 i square root of 218 i square root of 22 i square root of 6
We need to simplify the next square root:
\(\sqrt[]{-72}\)First, we need to rewrite the expression as:
\(\sqrt{-72}=\sqrt[]{-1}\ast\sqrt[]{72}\)Where √-1 = i
Therefore:
\(\sqrt{-1}\ast\sqrt{72}=\sqrt[]{72}\text{ i}\)Finally, we can simplify inside of the square root:
\(\sqrt[]{72}i=\sqrt{6\ast6\ast2}i=\sqrt{6^2\ast2}i=6i\sqrt[]{2}^\)Therefore, the correct answer is "6 i square root of 2".
lit so whats yalls fav song right now?
Answer: Be Happy by Dixie D’Amelio
Step-by-step explanation:
Answer:
ivy by frank ocean
Step-by-step explanation:
yessir
Which one of the following statements is true? *
1 point
tan 45° = 1
cos 30° = 1/2
sin 45° = 1/3
sin 90° = 0
Answer:
tan 45° = 1 = true
cos 30° = 1/2 = false
sin 45° = 1/3 = false
sin 90° = 0 = false
Step-by-step explanation:
The integers X and Y fulfil the condition 2X=5Y. Which can be considered for X+Y?
Answer:
X + Y could equal to \(1 \frac{2}{5}X\) or \(3 \frac{1}{2}Y\).
Step-by-step explanation:
2X = 5Y
Y = \(\frac{2}{5}X\)
X = \(\frac{5}{2}Y\)
Hence, X + Y could equal to X + \(\frac{2}{5}X\) = \(1 \frac{2}{5}X\) or Y + \(\frac{5}{2}Y\) = \(3 \frac{1}{2}Y\).
Hence, X + Y could equal to \(1 \frac{2}{5}X\) or \(3 \frac{1}{2}Y\).
Which graph represents the function p(x) = |x – 1|?
Answer:
it is this graph
Step-by-step explanation:
it is this graph
Answer:
B
Step-by-step explanation:
A jar contains 5 red marbles numbered 1 to 5 and 6 blue marbles numbered 1 to 6. A marble is drawn at random from the jar. Find the probability that the marble is blue or even-numbered.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability of drawing an even-numbered blue marble.
= Number of even blue marble / Total number of marbles
The probability of drawing an even-numbered blue marble is 3/11.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of red marbles = 5
Number of blue marbles = 6
Number of even blue marbles = 3
Total number of marbles = 5 + 6 = 11
The probability of drawing an even-numbered blue marble.
= Number of even blue marble / Total number of marbles
= 3/11
Thus,
The probability of drawing an even-numbered blue marble is 3/11.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ1
\(\frac{y^2}{36} -1\)
Answer:
that's my answer
Step-by-step explanation:
i hope it helps
Calculate the distance between the points Q=(-7,-5) and J= (1, 3) in the coordinate plane.
Round your answer to the nearest hundredth.
-10 -S -6
2
10-
2
6
on
10
Distance:
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{-7}~,~\stackrel{y_1}{-5})\qquad J(\stackrel{x_2}{1}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QJ=\sqrt{(~~1 - (-7)~~)^2 + (~~3 - (-5)~~)^2} \implies QJ=\sqrt{(1 +7)^2 + (3 +5)^2} \\\\\\ QJ=\sqrt{( 8 )^2 + ( 8 )^2} \implies QJ=\sqrt{ 64 + 64 } \implies QJ=\sqrt{ 128 }\implies QJ\approx 11.31\)