Answers
The limit in the given graph [tex]\lim_{x \to \ 2^{-} } f(x)[/tex] is 3 and [tex]\lim_{x \to \ 2^{+} } f(x)[/tex] is -2
Given graph of a function and we have to determine the limits when x tends to 2 minus and when x tends to 2 plus.
When we see the graph we can find that the graph is not of the linear function because it is not straight line.
From x=2 and onwards it gives values values of only -2 because it is parallel to x-axis at y=-2.From x=2 and leftwards it gives values values of only 3 because it is parallel to x-axis at y=3.
Hence the limit of the function whose graph is shown is 3 and -2.
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Related Questions
Solve the following:
a) 4x 3= 2x + 7
b) 2x+6= 7x14
Answers
[tex]4x - 2x = 7 + 3 \\ \\ 2x = 10 \\ \\ x = \frac{10}{2} \\ \\ x = 5.[/tex]
•••••••••••••••••••••••••••••••••••••••Correct Question : 2x + 6 = 7x - 14Solution : 2x + 6 = 7x - 14[tex]2x - 7x = - 14 - 6 \\ \\ - 5x = - 20 \\ \\ x = \frac{20}{5} \\ \\ x = 4.[/tex]
What is the area of a circle with a radius of 11 meters? Round your answers to the nearest tenth.
A. 34.6 m2
B. 121.0 m2
C. 380.1 m2
D. 760.3 m2
Answers
Answer:
380.1
Step-by-step explanation:
A=[tex]\pi[/tex]r^2
A=[tex]\pi[/tex]*11*11
A~ 380.13 m^2
nearest tenth: 380.1
Your family is driving to Disney which is 1000 miles away The first day your family drives 600 miles in 10 hours and the second day they drive the remaining distance in 8 hours . What is the average speed of travel for the second day?
Answers
Answer:
50 miles per hour
Step-by-step explanation:
Step 1: We subtract 600 from 1000. That gives us 400 miles for the second day.
Step 2: Now we divide that by 8, giving us 50 miles per hour. We have our answer!
I hope this helped!! PLEASE MARK AS BRAINLIEST!! :)
Which set of coordinates, when paired with (-3, -2) and (-5, -2), result in a square?
(-5, -2) and (-3,-2)
(-3,0) and (0, -2)
(-3,0) and (-5, 0)
(0, -2) and (0, -3)
0000
Answers
Step-by-step explanation:
hope this help you the result is In square
what is the logarthic form
Answers
Answer:
Step-by-step explanation:
The answer is (C).
Please help me with this
Answers
Exponential functions are typically organized in this format:
[tex]f(x) = a*c^x[/tex]
To find the equation given the graph of an exponential function:
Identify the horizontal asymptote⇒ asymptote - a line towards which a graph appears to travel but never meets
⇒ If the horizontal asymptote is not equal to 0, we add this at the end of the function equation. Identify the y-intercept
⇒ This is our a value.Identify a point on the graph and solve for c
Solving the Question
Identify the horizontal asymptote
In this question, it appears to be x = 0.
Identify the y-intercept
The y-intercept is the value of y at which the graph appears to cross the y-axis. In this graph, it appears to be 100. This is our a value. Plug this into [tex]f(x) = a*c^x[/tex]:
[tex]f(x) = 100*c^x[/tex]
Solve for c
We can use any point that falls on the graph for this step. For instance, (1,50) appears to be a valid point. Plug this into our equation and solve for c:
[tex]f(x) = 100*c^x\\50 = 100*c^1\\50 = 100*c\\\\c=\dfrac{1}{2}[/tex]
Plug c back into our original equation:
[tex]f(x) = 100*(\dfrac{1}{2})^x[/tex]
Answer[tex]f(x) = 100*(\dfrac{1}{2})^x[/tex]
The first two terms of an arithmetic sequence are shown below. 1 2 x+2' x+3' ck to task your mistake. Find the third term of this sequence. Give your answer fully factorised. Watch video Answer > The first two terms of an arithmetic sequence are shown below . 1 2 x + 2 ' x + 3 ' ck to task your mistake . Find the third term of this sequence . Give your answer fully factorised . Watch video Answer >
Answers
Answer:
in picture
Step-by-step explanation:
added in the picture
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5).
The slope of is
Answers
The coordinates of point N are (3, 5).2 the answer is 2/1 but just write 2.
We have given that,
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.
What is the coordinate?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5)
Therefore we get,
2 the answer is 2/1 but just write 2.
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Explaintion needed.
Answers
Step-by-step explanation:
for straight Line AE:
110° + AČB = 180° ( angles on straight line )
A Č B = 70°
for triangle "A C B"
65° + 70° + x = 180° (sum of angles on triangle)
x = 45°
DO THE SAME THING FOR THE UPPER PART ( straight line A E and triangle A D C) PLEASE GIVE ME BRAINLIEST ANSWER
Clem's credit score is 733, while ingrid's credit score is 688. according to the
following table for a $150,000 mortgage, how much more would ingrid have
to pay per month than clem?
fico
interest monthly
score
rate
payment
720-850
5.59% $860
700-719
5.71% $872
675-699
6.25% $924
620-674
7.40% $1039
560-619
8.53% $1157
500-559
9.29% $1238
Answers
Ingrid would have to pay 64 per month more than clem.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
fico interest monthly score rate
720-850 5.59% $860
700-719 5.71% $872
675-699 6.25% $924
620-674 7.40% $1039
560-619 8.53% $1157
500-559 9.29% $1238
Clem's score is 733 which is 924 on the chart.
Ingrid's score is 688 which allows her to pay 860 per month.
924 - 860 = 64
Hence,
Ingrid would have to pay 64 per month more than clem.
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One number is 6 more than twice the other number. If the sum of the two numbers is 21, find the two numbers
Answers
Answer:
One number, let's call it x, is 6 more than twice the other number, let's say this number is y.
x= 2y+6
x+y=21
We're left with a system of equations.
If we substitute the first equation in the second we find the value of y.
(2y+6)+y=21
3y+6=21
3y=15
y=5
Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.
x+ (5)=21
x=16
Now to check if our answers are correct, we plug in both values into any equation and see if they equate.
x+y=21
(16)+(5)=21
21=21
Our solution is correct!
a) Work out (2.3 x 10 to power of 4 x (1.5 x 10 to power of negative 2
Give your answer in standard form.
b) Work out (3.6 x 10 to power of negative 5 + (1.8 x 10 to power of 2)
Give your answer in standard form.
Answers
Answer:
A. 345
B. 180
Step-by-step explanation:
That is the right answer
Kierran is trying to find the circumference of a circle. He knows that the radius (r) of the circle is 6 feet and that the diameter,
=2
. Which formula should he use?
a. =3.14(2)2
b. =3.14(2)
c. =3.142
d. =3.14(2)
Answers
The formula should he use willl be 3.14(2). Option B is correct.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
Given data;
Radius,r = 6 feet
Diameter,d=2
Circumfererenc,C
The circumferrence of the circle is;
C=πD
C= 3.14 × 2
The formula should he use willl be 3.14(2).
Hence, option B is correct.
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what is 10.465 - (-25.21)
Answers
Answer: 35.675
Step-by-step explanation:
10.465−(−25.21)
The opposite of −25.21 is 25.21.
10.465+25.21
Add 10.465 and 25.21 to get 35.675.
35.675
please help me. I really need to get this right. I appreciate the hard work
Answers
A function assigns the values. The value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of g(x) can be found by substituting the value of x as given in the function. Therefore, the values will be,
A.) x = -1
[tex]g(-1) = 6(\dfrac32)^{-1}\\\\g(-1) = 4[/tex]
B.) x = 0
[tex]g(0) = 6(\dfrac32)^0\\g(0) = 6[/tex]
C.) x = 1
[tex]g(1) = 6(\dfrac32)^1\\\\g(1) = 9[/tex]
D.) x = 2
[tex]g(2) = 6(\dfrac32)^2\\\\g(2) = 13.5[/tex]
Hence, the value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.
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What is the value of x?
(See attached image for details.)
Enter your answer in the box.
x =
Answers
Answer:
x = 8°
y = 6°
Step-by-step explanation:
Hello!
All 3 sides of the triangle are equal, indicating that it is an equilateral triangle. The rules of this particular triangle say that all angles are equal to 60°.
We can solve for x by setting the equation 7x+4 to 60.
Solve for x7x + 4° = 60°7x° = 56°x = 8°The value of x is 8°.
We can go ahead and solve for y by setting that equation to 60°.
Solve for y8y + 12° = 60°8y = 48°y = 6°The value of y is 6°.
Question 7 of 10
Which choices are equivalent to the expression below? Check all that apply.
3√6
A. √54
B. 18
C. √27.4
☐D. √27.√2
□E √9.6
F. 54
PREVIOUS
Answers
Step-by-step explanation:
[tex] = 3 \sqrt{6} [/tex]
[tex] = \sqrt{ {3}^{2}.6 } [/tex]
[tex] = \sqrt{9.6} [/tex]
[tex] = \sqrt{54} [/tex]
The answer is A.
Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distance (in meters). Find v when u is 6 m/s, a is 3 m/s², and s is 29 meters. A. 210−−−√ m/s B. 15 m/s
Answers
Answer:
When the initial velocity is 6m/s and acceleration is 3m/s², the final velocity after a distance of 29m is √210m/s.
Step-by-step explanation:
Concept: In the problem it is given that u = 6m/s, a = 3m/s² and s = 29m. We need to find the v. In such kinematical problems, we have an equation v² = u² + 2as. From this relation we can find v.
v² = 6² + 2×3×29
v² = 36 + 174
v² = 210
v = √210 m/s
So, the final velocity is the under-root of 210 or √210 m/s.
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Please helpppppppppppppp
Answers
Answer:
Inequality would be the answer
Cheryl mixes 350ml of cranberry juice with 2 litres of blueberry juice. Write the ratio of cranberry juice: blueberry juice in its simplest form. Find the ratio of 2/5 h to 250 S.
Answers
cranberry juice = 350 ml
blueberry juice = 2 liters = 2000 ml
Ratio of cranberry juice : blueberry juice = 350 : 2000 = 7 : 40
The simplest ratio is 7 : 40 or 7/40
12a-10b+6
Term:
Coefficient:
Answers
Coefficients: 12, -10, and 6
Hope this helps :)
it takes 3 machines 2 days to make a batch of products. How long does one machine take?
Answers
Answer:
it takes 6 days for 1 machine...
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answers
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct option is D.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
For the given graph of the function f(x) = –x² – 4x + 5, the domain of the function is all the real numbers, while the range of the function is all real numbers less than or equal to 9.
Hence, the correct option is D.
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Figure 1 is similar to figure 2. What is the height of figure 1?
8 units
1 unit
2 units
4 units
Answers
The height of figure 1 that is similar to figure 2 is: D. 4 units.
What are Similar Figures?The corresponding linear measurements of similar figures are proportional. Therefore, we would have:
4x/2x = x + 1/x
Solve for x
2 = x + 1/x
2x = x + 1
2x - x = 1
x = 1
Height of figure 1 = 4x = 4(1) = 4 units.
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MATHHH. Probability section!!! HELP!
please give the right answer.
Answers
Answer:
10% or 1 /10
Step-by-step explanation:
'Fish' is on the spinner in one slot out of 10 slots
one out of 10 = 1/10 = 10%
Answer:
10%
Step-by-step explanation:
There are 10 possible areas to land on fish is only shown once meaning there is a 1/10 chance which is = to 10%
Find the length of side BC.
Give your answer to 3 significant figures.
C
A
71°
B
Answers
Answer:
BC ≈ 19.4 cm
Step-by-step explanation:
using the cosine ratio in the right triangle
cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6.3}{BC}[/tex] ( multiply both sides by BC )
BC × cos71° = 6.3 ( divide both sides by cos71° )
BC = [tex]\frac{6.3}{cos71}[/tex] ≈ 19.4 cm ( to 3 sig. figs )
Answer:
19.4°
Step-by-step explanation:
I put the image of how I did it if you don't understand let me know
Fireside Flowers has 75 daisies, 60 lililes, and 30 roses. What is the greatest common factor Fireside Flowers can use to divide the flowers into equal groups
Answers
Answer:
3
Step-by-step explanation:
bc im vary smert
Answer:
15
Step-by-step explanation:
Start by factoring each number into primes.
30 = 2 · 3 · 5
60 = 2 · 2 · 3 · 5
75 = 3 · 5 · 5
Look for prime numbers used in all three factorizations and include these common primes in the greatest common factor (GCF).
Since 3 is used at least one time in all three factorizations, the GCF will contain one 3.
Since 5 is used at least one time in all three factorizations, the GCF will contain one 5.
Therefore, the GCF Fireside Flowers can use to divide the flowers into equal groups is 3 · 5 = 15.
What is the range of this function?
OA. (3, 5, 7, 11)
OB. (-3, 4, 5, 7)
OC. (-3, 0, 3, 4, 5, 6, 7, 11)
OD. (-3, 0, 4, 6)
Answers
Answer:
(-3, 0, 4, 6) (option D)
Step-by-step explanation:
The "range" of a function is all possible y-values. In this image, there are x's entered on the left side--which I know to be x values because a function, f(x) is essentially the outcome of what happens when x is entered.
So, the y-values are featured on the right. All of these values are the possible values for y, or, what we call the range.
Meaning that the range of this function is (-3, 0, 4, 6)
which of the following functions best describes this graph?
A.y=(x-1)(x-1)
B.y=x^2-5x+6
C. y=x^2-x+5
D. y=( x-3)(x+1)
Answers
Answer: y = (x-1)(x-1)
Step-by-step explanation:
There is pretty much no vertical shift so that immediately rules out B and C.
We can solve y = (x-1)(x-1) and get x = 1
The graph shows x = 1 as a zero, so we know this graph is correct.
A group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket costs 32 dollars , so the debt for one ticket is-32 . The tour company adds a 15 dollar fee for the entire order. Including the fee, which number represents the total debt?
Answers
The number that represents the total debt is 303 if the group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet.
What is debt?
It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
We have:
Each ticket costs 32 dollars, so the debt for one ticket is -$32. The tour company adds a 15-dollar fee for the entire order.
A group of 9 pre-orders 9 tickets for a sightseeing tour.
Total cost of 9 tickets = 9×32 = $288
As this group doesn't have money
The debt for the tickets will be = $288
The tour company adds a $15 fee for the entire order.
The total debt for this tour = $15 + $288 = $303
Thus, the number that represents the total debt is 303 if the group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet.
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