Which of the following is the function represented
by the graph?
O
1
y=
-5
(x+3)
1
y=
(x-3)
y=
(x+5)
1
y =
(x - 5)
O
O
O
+5
-3
+3
Answers
Answer:
the last (4th) option
Step-by-step explanation:
the easiest way to find the right answer :
which of the 4 answers would deliver infinity for x = 5 ?
and that is only answer 4, as x = 5 creates 0 in the denominator of the fraction, which leads to the infinity break at that point in the functional curve.
other indications :
the smaller x, the more the denominator goes to -infinity, and the bigger x, the more the denominator goes to +infinity.
and that means the whole fraction goes to 0. and we are left for the function limit with the constant added at the end of the function.
looking at the graph, this has to be +3.
and again, only the 4th answer has "+3" at the end.
The function represented by the graph is y = 1(x - 5) + 3.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The equation y = 1/(x - 5) + 3 represents a rational function with a vertical asymptote at x = 5.
This means that the graph of the function gets closer and closer to the vertical line x = 5, but never touches or crosses it.
The graph of the function also has a horizontal asymptote at y = 3.
This means that as x approaches infinity or negative infinity, the value of the function approaches 3.
The function has a y-intercept at (0, -4), where x = 0 and y = 1/(-5) + 3 = -4.
Thus,
The function represented by the graph is y = 1(x - 5) + 3.
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Related Questions
Can you help me? I don’t understand this question at all. It would really help.
Answers
Answer:
9.6 ft.
Step-by-step explanation:
Given they are similar, take the sides of the triangles in proportion.
AB/DE = AC/DF8/5 = AC/6AC = 1.6 x 6AC = 9.6 ft.Rectangle ABCD has vertex coordinates A(-1,-1), B(-1,-3), C(-4,-3), and
D(-4,-1). It is translated 3 units up and reflected across the yaxis. What are
the coordinates of A'B'C'D"?
A. AT1,2).B1.0).C'(4.0).D*(4,2)
B. A-1,2),B(-3,2).(-3,-1),-1,-1)
OC. A1.-1),B1,-3),C*(4,-3),D*(4,-1)
D. A12-1),B(2,-3),C(-1,-3), D-1,-1)
Answers
Step-by-step explanation:
A. AT1,2).B1.0).C'(4.0).D*(4,2)
your answer
identify the rational numbers represented by the letters on the number line.
Answers
[tex]\huge\rm\underline{Answer}[/tex]
✧ Rational numbers are represented on the number line by dividing a unit into as many divisions as the denominator of the rational number
Here , Each unit is divided into 7 equal parts . It means denominator of the rational number is 7.
A is on the 10th Mark to the left of 0.So , A represents -10/7
B is on the 6th mark to the left of 0 .So , B represents -6/7
C is on the 3rd mark to the right of 0.So , C represents 3/7
D is on the 15th mark to the right of 0.So , D represents 15/7
Hope it helps ~
A side of the triangle below has been extended to form an exterior angle of 70°. Find
the value of x.
Answers
The exterior angle and x form a straight line which need to equal 180.
x = 180-70 - 110
Answer: x = 110
For the given triangle the required measure of angle is 110°.
Use the concept of a triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
Since we know that,
The angle of a line is 180 degrees.
Therefore, for the given triangle,
x° + 70° = 180°
Subtract 70° on both sides,
x° = 110°
Hence,
The measure of x° is 110°.
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The volume of a tree stump can be modeled by considering it as a right cylinder. Ashley measures its height as 1.2 ft and its radius as 20 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
Answers
The volume of the stump in cubic inches is 18095.6 if the Ashley measures its height as 1.2 ft and its radius as 20 in.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have h = 1.2 ft = 1.2×12 = 14.4 inches
r = 20 inches
[tex]\rm V = \pi (20)^2 \times 14.4[/tex]
After calculating, we get:
V = 18095.57 ≈ 18095.6 cubic inches
Thus, the volume of the stump in cubic inches is 18095.6 if the Ashley measures its height as 1.2 ft and its radius as 20 in.
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Answer:
Step-by-step explanation:
2
During Black Friday, everything at Best Buy was marked down 15%. If a customer purchased electronics for a subtotal of $240, what is the final price they would pay for all of their electronics?
Answers
Answer:
$204
Step-by-step explanation:
Expression : 240 x 15%
15% x 100 = 0.15
Equation : 240 x 0.15 = 36
Final Answer : 36
240 - 36 = 204
Simplify: 10 - (16 ÷ 8)3 • 9 + 9
Answers
Answer:
-35
Step-by-step explanation:
Answer:
54(16÷8)-10?????
Step-by-step explanation:
I'm bad at this
1. Use the function f (x) to answer the questions:
f(x) = 2x^2 − 3x − 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
2. The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company: (picture of graph attached below)
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
I promise to give braInliest to the correct answer.
Answers
Answer:
A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.
Step-by-step explanation:
The volume of a sphere with radius r
is given by the formula V=4/3 π r^3.
Find the volume of a sphere with radius 8 cm is
Answers
Answer:
2143.57 cm³[tex] \: [/tex]
Step-by-step explanation:
In the question, it is given that a sphere has a radius of cm and we have to find the volume of the sphere.
To Find the volume of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]
Now, we will substitute the values in the formula :
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(8)}^{3}}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 512}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 1067.68}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 1067.68 }{3} \: }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{6430.72 }{3} \: }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 2143.57}}}}}} \\ \\[/tex]
Therefore,
The volume of the sphere is 2143.57 cm³find the value of each of the lettered angles in the diagram below
Answers
Answer:
Step-by-step explanation:
Remark
You have an isosceles triangle. That means that the angles opposite the marked sides are equal. So mark the angle on the lower left of the triangle as 50 degrees.
The solution to problem depends on the fact that the sum of the two inside angles of the triangle (each of which is marked as 50 degrees) not supplementary to the exterior angle, are still equal to the exterior angle.
Givens
<1 = 50 degrees
<2 = 50 degrees
Exterior angle = 15x + 25 Substitute the givens into the equation
Equation
<1 + <2 = 15x + 25
Solution
50 + 50 = 15x + 25 Combine the left side
100 = 15x + 25 Subtract 25 from both sides
100 - 25 = 15x + 25 - 25 Combine
75 = 15x Divide both sides by 15
75/15 = 15x/15
5 = x
Answer
<1 = 50 degrees
<2 = 50 degrees
15x + 25 = 75 + 25 = 100
MATHHH HELPPPPP I NEED TO FINISH THIS BUT IM STUCK
Answers
Answer:
10 I think but not sure. but It has to be an Evan number
Which Stem-and-Leaf Plot matches the data set shown below?{11, 23, 13, 17, 13, 24, 22, 32, 12, 35} PLEASE HELP ME
Answers
Answer:
I am going to use a dot to represent a line:
1 . 1, 2, 3, 3, 7
2. 2, 3, 4
3. 2, 5
Hey, what it do? I need help i am in imense pain trying to answer this can someone help me?
Toby plans to enroll for 2 semesters per year of college. How can he calculate the extra amount he needs for expenses for each semester? What is the amount that he needs per semester?
Answers
Answer: He will need $1,000 for each semester! :))
Hope this helped!!
PLEASE URGENT
Mary wants to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, Mary can pay $70 per month, plus $1 for each group class she attends. Alternately, she can get the second membership plan and pay $10 per month plus $4 per class. If Mary attends a certain number of classes in a month, the two membership plans end up costing the same total amount. How many classes per month is that?
Write a system of equations, graph them, and type the solution.
Answers
The linear equations for the system: y = x + 70 and y = 4x + 10
She'll attend 20 classes/month
The graph for the solution (20, 95) is in the image attached below
What is a Linear Equation?A linear equation can expressed in slope-intercept form, as, y = mx + b.
m = unit rate/slopeb = initial value/y-interceptLinear equation for the first membership plan:
b = 70
m = 1
x = number of classes
y = total amount
Equation for the first membership plan: y = x + 70
Linear equation for the second membership plan:
b = 10
m = 4
x = number of classes
y = total amount
Equation for the second membership plan: y = 4x + 10
The system of equations are:
y = x + 70
y = 4x + 10
The solution is the point at which the line for both equations intersect on the graph as shown in the image attached below, which is: (20, 95).
This means Mary must attend 20 classes for each membership plan, she must attend 20 classes to pay the same total amount of $95 per month.
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help with applications of surface area and volume problems! will reward brainly, 10th grade geometry
Answers
Answer:
Question 1:
Rectangular prism requires [tex] 10.185\: in^2[/tex] more material to make than the cylinder.
Question 4:
The cylindrical container holds [tex]\bold{60.16\: in^3}[/tex] more than the rectangular prism.
Step-by-step explanation:
Question 1:
In order to select the correct answer, we should find the surface areas (SA) of both cylindrical as well as rectangular containers. Let us start...For cylindrical container:h = 10 in & r = 4.5 in[tex] SA (Cylindrical \:container) = 2\pi rh+2\pi r^2-\pi r^2[/tex] ([tex]\pi r^2[/tex] is subtracted because the container is open from the top)[tex] SA (Cylindrical \:container) = 2\pi rh+\pi r^2[/tex] [tex] SA (Cylindrical \:container) = 2(3.14)(4.5)(10)+3.14 (4.5)^2[/tex] [tex]\implies \red{\boxed{\bold{SA (Cylindrical \:container) =346.185\: in^2}}}[/tex] Next, we find the surface area of the rectangular container which has following dimensions.[tex] l = 8\: in,\: b = 8\: in,\: h= 8.5\: in[/tex][tex] SA ( rectangular\: container) = 2(lb+bh+lh)-lb[/tex] (lb is subtracted because container is open from the top)[tex] \implies SA ( rectangular\: container) = lb+2(bh+lh)[/tex][tex] \implies SA ( rectangular\: container) = 8*8+2(8*8.5+8*8.5)[/tex][tex] \implies \purple{\boxed{\bold{SA ( rectangular\: container) = 336\: in^2}}}[/tex]Here, SA (Cylindrical container) > SA (rectangular container)[tex] Difference = 346.185 - 336 = 10.185\: in^2[/tex][tex]\bigodot[/tex] This means: rectangular prism requires [tex]\bold{10.185\: in^2}[/tex] more material to make than the cylinder.Question 4:
[tex] V_{Cylinderical\: container}= \pi r^2 h [/tex][tex] \implies V_{Cylinderical\: container} =3.14 (4)^2 (9)[/tex][tex]\implies\red{\boxed{\bold{V_{Cylindrical\: container}=452.16\: in^3}}}[/tex][tex]V_{rectangular\: container}= l*b* h[/tex][tex] \implies V_{rectangular\: container}= 7*7* 8[/tex][tex] \implies \orange{\boxed{\bold{V_{rectangular\: container}= 392\: in^3}}}[/tex] Here, [tex] V_{Cylinder\: container}>V_{rectangular\: container}[/tex][tex] Difference = 452.16 - 392= 60.16\: in^3[/tex][tex]\bigodot[/tex] Thus, the cylindrical container holds [tex]\bold{60.16\: in^3}[/tex] more than the rectangular prism.
Identify an equation in slope-intercept form for the line parallel to y = 4x - 9
that passes through (-5,3).
O A. y = 4x - 23
ОВу
O B. y - 1x+45
4x
O c. y = 4x+23
O D. y= - 4x + 7
Answers
Answer:
c. y=4x+24
Step-by-step explanation:
To identify the equation, the equation must satisfy the points (-5,3).
putting x as -5 should give us y=3
c. y = 4x + 23
y = 4 * (-5) + 23
y = -20 + 23
y = 3
[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
Identify an equation in slope-intercept form for the line parallel to y = 4x - 9
that passes through (-5,3).
[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
If lines are parallel to each other, they have the same slope.
If a line is parallel to [tex]\bold{y=4x-9}[/tex], and the slope of this line is 4, then the slope of the line that's parallel to [tex]\bold{y=4x-9}[/tex] also has a slope of 4.
All right, we know the slope, but that's part of the slope-intercept equation,
We also need to identify the y-intercept; one way to find it (the one I always use) is the point-slope form.
Point-slope form looks like so:-
[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]
Replace y1 with 3, m with 4, and x1 with -5:-
[tex]\longmapsto\sf{y-3=4(x-(-5)}[/tex]
On simplification,
[tex]\longmapsto\sf{y-3=4(x+5)}[/tex]
On further simplification,
[tex]\longmapsto\sf{y-3=4x+20}[/tex]
On further simplification,
[tex]\longmapsto\sf{y=4x+20+3}[/tex]
Final equation:-
[tex]\longmapsto\sf{y=4x+23}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
What is 70% of 30? Question 4 options: A 7 B 15 C20 D 21
Answers
Answer:
Last option, 21Step-by-step explanation:
I calculated it.
Answer:
the answer is 21
21
Write the ratios for sin A and cos A.
A
26
B
10
C
24
Not drawn to scale
Answers
simplify square root can you put the steps i would love if you helped me
1. √72
2. √144
3. √45
Answers
Refer image
Rita has a credit card that gives a 6% discount on every purchase. The annual percentage rate on the card is 15%. She is purchasing a digital camera for $300. If she purchases the camera and only pays $80 on the first month’s bill, how much will she need to pay off the balance the following month? $199. 47 $204. 53 $220. 00 $222. 75.
Answers
Answer:
The answer would be 204.53Step-by-step explanation:
I'm taking the testhELP ME PLSSSSSSSSSSSSSSSS!!!
Answers
1 : 447
2: 572 explanation down below
for b
Step-by-step explanation
7436/13 do this but long division
divide 74 by 13 to get 5
like this : 5
7436/13
65
93
divide 93 by 13 to 7
57
7436/13
65
93
26
divide 26 by 13 to get 2
572
7436/13
65
93
91
26
26
0
The distance traveled by a car traveling at a constant speed is directly proportional to the time spent traveling. If the car went 910 miles in 13 hours, how far will it go in 14 hours
Answers
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"d" directly proportional to "t"}}{d=kt}\qquad \textit{we also know that} \begin{cases} d=910\\ t=13 \end{cases} \\\\\\ 910=k13\implies \cfrac{910}{13}=k\implies 70=k~\hfill \boxed{d=70t} \\\\\\ \textit{when t=14, what is "d"?}\qquad d=70(14)\implies d=980~miles[/tex]
This is a graph of y =2x-7
Use the graph to solve these equations
a. 2x-7=5
b. 2x-7=0
Answers
12% of 59.7 is what number?
Answers
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{12\% of 59.7}}{\left( \cfrac{12}{100} \right)59.7}\implies 7.164[/tex]
e + 20 ≥ 33
Please help me solve this!
( solving one-step inequalities )
Answers
Answer:
=> e is greater than Or equal to 13
Answer:
Hey I don't know if this helps but I your trying to see if the equality is true of false it would be false
A survey of favorite movie types found that 36% of people polled preferred comedies instead of action movies. if
450 people preferred comedies, how many people were surveyed?
a. should your answer be less than 450, equal to 450, or greater than 450? why?
b. calculate
Answers
Answer:
Step-by-step explanation:
a)
The answer is greater than 450 because the percentage is less than 100%
b)
36% = 36/100 = 0.36
450/0.36 = 1250
how many people were surveyed?:
1250
Find the Volume of the Triangular Prism Below.
a.
416 m
b.
432 m
c.
624 m
d.
864 m
Answers
Answer:
[tex]volume \: of \: triangular \: prism = \frac{1}{2} \times b \times h \times h \\ = \frac{1}{2} \times 8 \times 12 \times 9 \\ = 432m {}^{3} [/tex]
Giving Brainlist Please Help!!!! Find the perimeter of the rhombus. Use the Pythagorean Theorem.
Answers
Answer:
Choice D, 20 inches.
Step-by-step explanation:
The Pythaogorean theorem tells us that the hypotenuse of a triangle, c, can be found by taking: c = [tex]\sqrt{a^{2} +b^{2}}[/tex]. In this case, a = 3 and b = 4. So:
c = [tex]\sqrt{a^{2} + b^{2} }[/tex]
c = [tex]\sqrt{3^{2} + 4^{2} }[/tex]
c = [tex]\sqrt{9 + 16}[/tex]
c = [tex]\sqrt{25}[/tex]
c = 5
The sides of a rhombus are all equal. Given that one side is equal to 5, we can simply multiply 5 by 4 to get 20. The perimeter is 20 inches.
Answer:
D. 20 in
Step-by-step explanation:
Finding the side of the rhombus :
side of the rhombus = √3² + 4²side of the rhombus = √9 + 16side of the rhombus = √25side of the rhombus = 5 inPerimeter :
4 x side length4 x 5 in20 inWhat is the slope of the line represented by the equation f(x)=3/2x- 4
Answers
Answer:
3/2
Step-by-step explanation:
it's the slope because it's before x.
The difference of twice a number and 3 is at most-26.
Answers
Answer:
x < & = -23/2
Step-by-step explanation:
Let a number be x.
Twice a number = 2x
2x - 3 = -26 and 2x - 3 < -26
2x = -23 and 2x < -23
x = -23/2 and x < -23/2