Answers
Answer:
Step-by-step explanation:
possible answers for both domain and range can be the following:
all set of all real numbers from 0 to 90;
all set of all real numbers from 200 to 560;
all set of all real numbers from 4 to 200;
(90, 91, 92, 93, ..... 560) ;
90, 91, 92, 93, .......; or
0, 1, 2, 3, .... 200
Related Questions
Given the function below, find f(-5).
f(x)= (x - 3)² +17
Answers
Answer:
81
Step-by-step explanation:
f ( x ) = ( x - 3 )² + 17
To find : f ( - 5 )
f ( - 5 ) = f ( x )
Here,
x = - 5
f ( - 5 ) = ( - 5 - 3 )² + 17
= ( - 8 )² + 17
= 64 + 17
f ( - 5 ) = 81
two gymnasts are running toward each other in a floor routine, and they plan to precisely time a flip to stay synchronized for the audience. The path of the gymnasts is parabolic and modeled by the following equations, where y is the height of the flip and x is the time in seconds:
y = – (x – 5)2 + 3
y = –3(x –3)2 + x + 1
30 POINTS !! To make sure the flip is in unison, after how many seconds should the flip occur?
2 seconds
3 seconds
4 seconds
5 seconds
Answers
To make sure the flip is in unison, after 4 seconds should the flip occur, as given by the option C: 4 seconds.
What does synchronized motion mean?Synchronized motion is a motion of two or more system which goes in syncronization with each other.
For this case, the flip will occur such that both gymnasts are synchronized and flip is unison (simultaneous).
For that, we need the time(x) and the height (y) same.
Since the motion paths are:
[tex]y= -(x-5)^2 + 3\\\\y = -3(x-3)^2 + x + 1[/tex]
Therefore, we need to find the values of x for which same y comes as output.
Let x = t be the time for which the height y is same, then:
[tex]-(t-5)^2 + 3 = -3(t-3)^2 + t + 1[/tex] = height achieved by both gymnasts.
Solving it further:
[tex]-(t-5)^2 + 3 = -3(t-3)^2 + t + 1\\3(t^2 + 9 -6t) -(t^2 + 25 -10t) -t + 2 = 0\\\\2t^2 -9t + 4 = 0\\2t^2 -8t - t + 4 = 0\\2t(t-4) -1(t-4) = 0\\(2t -1)(t-4) = 0\\\\t = 4, t = 1/2[/tex]
Assuming they planned to do flip after integral number of time in seconds, the correct option is t = 4 seconds.
Thus, to make sure the flip is in unison, after 4 seconds should the flip occur, as given by the option C: 4 seconds.
Learn more about solving system of equations here:
https://brainly.com/question/2825832
Answer:
5 seconds
Step-by-step explanation:
Put the equations in desmos and you will see they intersect at 5 seconds.
This is definitely correct. Here is proof:
Express the following in p/q form, where p and q are integers and q is not equal to 0.
(i) 1.272727..... (ii) 0.1282828.......
pls give the answer with steps
thank you!!!
Answers
(II)0.1282828...= 127/990
(The solution is in the picture
NB : the two points on the two numbers in the solution means those two numbers are recurring or repeating )
(i) 1.272727...
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{1.\overline{27}}}}[/tex] [tex]\bf{i.}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{Let\:x\:be\:1.\overline{27}}}}[/tex]
Multiplying both the sides by 100.
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{x\:*\:100=1.\overline{27}\:*\:100}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{100x=127.\overline{27}}}}[/tex] [tex]\bf{ii.}[/tex]
Subtracting [tex]\bf{i.}[/tex] from [tex]\bf{ii.}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{100x\:-\:x=127.\overline{27}\:-\:1.\overline{27}}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{99x=126}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\green{\bf{x=\dfrac{126}{99}}}}[/tex]
Reducing it to lowest form
[tex]\rightarrowtail[/tex] [tex]\boxed{\green{\bf{x=\dfrac{14}{11}}}}[/tex]
[tex]\gray{\rule{300pt}{0.3em}}[/tex]
(ii) 0.1282828...
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{0.1\overline{28}}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{Let\:x\:be\:0.1\overline{28}}}}[/tex]
Multiplying both sides by 10
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{x\:*\:10=0.1\overline{28}\:*\:10}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{10x=1.\overline{28}}}}[/tex] [tex]\bf{i.}[/tex]
Multiplying both sides by 100
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{10x\:*\:100=1.\overline{28}\:*\:100}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{1000x=128.\overline{28}}}}[/tex] [tex]\bf{ii.}[/tex]
Subtracting [tex]\bf{i.}[/tex] from [tex]\bf{ii.}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{1000x\:-\:10x=128.\overline{28}\:-\:1.\overline{28}}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{990x=127}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\green{\bf{x=\dfrac{127}{990}}}}[/tex]
[tex]\gray{\rule{300pt}{0.3em}}[/tex]
Hope it helps..♪Amy is designing a door wedge for her office. The door wedge makes an angle of 30° with the ground. The slant height of the door wedge from the base to the top is 12 inches. What will be the approximate length of the base of the door wedge?
A. 16.4 inches
B. 9.85 inches
C. 12.21inches
D. 10.39 inches
Answers
find the inverse of the function
Answers
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
[tex]\stackrel{h(x)}{y}~~ = ~~6\sqrt[3]{2x+5}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~6\sqrt[3]{2y+5}-1} \\\\\\ x+1=6\sqrt[3]{2y+5}\implies \cfrac{x+1}{6}=\sqrt[3]{2y+5}\implies \left( \cfrac{x+1}{6} \right)^3=\left( \sqrt[3]{2y+5} \right)^3[/tex]
[tex]\left( \cfrac{x+1}{6} \right)^3=2y+5\implies \left( \cfrac{x+1}{6} \right)^3-5=2y\implies \cfrac{\left( \frac{x+1}{6} \right)^3-5}{2}=y \\\\\\ \cfrac{\left( \frac{x+1}{6} \right)^3}{2}-\cfrac{5}{2}=y\implies \cfrac{~~ \frac{(x+1)^3}{6^3}~~}{2}-\cfrac{5}{2}=y\implies \cfrac{(x+1)^3}{432}-\cfrac{5}{2}=\stackrel{y}{h^{-1}(x)}[/tex]
if 500(.85)^x = 30(1.15)^x what is X
Answers
Answer:
x = log 17frac 23 (3)
(50)
Step-by-step explanation:
500 x 0.85 x at the top =30x1.15 x at the top again.
Which of the following statements must be true of a function?
A. Every output value corresponds to only one input value.
B. Every input value corresponds to only one output value.
C. No inout values are repeated.
D. No output values are repeated
Answers
Answer:
B: Every input value corresponds to only one output value.
B. Every input value corresponds to only one output value
Solve 2(x+1)=2x+5
-------------------------------------------
All real numbers
No solution
0
3
Answers
The answer is "no solution"
What is the circumference of a circle with a diameter of 8 inches?
a 12.56
b 25.12
c 50.24
d 200.96
Answers
A Circle is a closed plane geometric shape figure. The diameter of a circle is the longest chord of a circle. The radius drawn perpendicular to the chord bisects the chord. A Circle is always lie at an equal distance from a center point. Circles having different radius are similar.
Circumference of Circle:The circumference of a circle is the product of pi and length of the diameter of a circle. Mathematically;
[tex]\longrightarrow \tt{Circumference_{(circle)} = \pi{D}}[/tex]
Here, D is the diameter of the circle or distance between the circle.
Elucidation:We are asked to find the circumference of the circle if the diameter is 8 inches.
We know that, The circumference of a circle is the product of pi and length of the diameter of a circle. Therefore;
[tex]\implies \tt{Circumference_{(circle)} = \pi{D}}[/tex]
[tex]\implies \tt{Circumference_{(circle)} = 3.14 \times 8}[/tex]
[tex]\implies \boxed{\pmb{\tt{Circumference_{(circle)} = 25.12}}}[/tex]
Hence, the circumference of the circle is 25.12 inches. So option (B) is correct.
Answer:
Circumference of circle = 25.12 inchesThus Option B is correct .Step-by-step explanation:
In the question we are given that diameter of circle is of 8 inches . And we have asked to find the circumference of the circle .
For finding circumference of circle we must have to know that what is the formula for finding circumference of circle. So :
[tex] \quad \quad \: \red{\underline{\pink{ \boxed{ \frak{Circumference \: of \: Circle =2 \pi r }}}}}[/tex]
Where ,
π refers to 3.14 r refers to radius of circleSolution : -
As in the question we are given length of diameter . So for finding circumference we need to find the radius of circle .
We know that diameter of circle is two times its radius ,
[tex] \qquad \: \rm {Diameter = 2 × Radius }[/tex]
So for radius we are dividing both side with 2 :
[tex]\qquad \: \rm { \dfrac{Diameter}{2} = \dfrac{ \cancel{2} × Radius}{ \cancel{2}} }[/tex]
We get that ,
[tex] \qquad \: \rm {Radius = \dfrac{Diameter}{2} }[/tex]
Therefore , we can say that radius of circle is half of its diameter .
Now using this , firstly we are finding radius of circle . So :
[tex] \longmapsto \quad \: \boxed{\rm{ Radius = \frac{8}{2} \: \: inches}}[/tex]
Therefore , radius of circle is 4 inches .Now , we are moving towards our final solution .
So ,
[tex] \longmapsto \quad Circumference_ { (Circle)} =2 \times 3.14 \times 4 [/tex]
Multiplying 2 with 3.14 :
[tex]\longrightarrow \quad Circumference_ { (Circle)} = 6.28 \times 4 [/tex]
Multiplying 4 and 6.28 :
[tex]\longrightarrow \quad \purple{{\boxed{\frak{Circumference_ { (Circle)} = 25.12\: inches }}}}[/tex]
Therefore , circumference of circle having diameter 8 inches is 25.12 inches and hence option b is correct .#Keep LearningPlease help me with this question!
It's urgent!!!!
Those who explains clearly will be given extra points and voted as brainliest
Answers
53=1x
x=53
The answer is 53.
thank you n gimme answer
Answers
Answer:
I believe its D
If correct please give brainliest
Step-by-step explanation:
Answer:
C)
Step-by-step explanation:
The first inequality, y ≥ 2x + 1 has no solution below the function since it is greater than OR EQUAL to it. Similarly, the second inequality, y > 1/2x - 1 has no solution at or below the function since it is only GREATER THAN this value.
If we look at the graph of these inequalities, we see that they don't overlap at all in quadrant IV. For that reason, this area of the graph there will have no solution, or empty set.
Hope this helps and God bless!
The cost for a teacher to offer an art class is represented by the function f(s)=15s+75, where s is the number of students enrolled. What does each parameter represent in this situation? Drag and drop the explanation to the parameter it represents. HELP. Will reward 20 points.
Answers
Answer:
look below
Step-by-step explanation:
Slope = materials cost per student
Y—intercept = cost of renting the classroom
A traveler pulls a suitcase, as shown in the figure. (image below)
The force acting on the handle is 35 N at an angle of θ = 30°. How much work is done if the traveler moves 110 meters? Round to the nearest whole number.
1,893 Nm
1,925 Nm
2,703 Nm
3,334 Nm
Answers
Answer:
3334 N·m
Step-by-step explanation:
Work is the product of force and distance. The force used in the product is the force that is in the direction of motion.
__
The horizontal component of the applied force is ...
F = (35 N)cos(30°) ≈ 30.311 N
Then the work done is ...
W = Fd
W = (30.311 N)(110 m) = 3334 N·m
Using the distributive property to find the product (y−4x)(y2 4y 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x. what is the value of a in the polynomial? 4 8 16 32
Answers
The product (y−4x)(y^2 + 4y + 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x then the value of a is 16.
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
First let w = y-4x make distribution a bit easier
(y−4x)(y^2 + 4y + 16)
[tex]w(y^2 + 4y + 16)\\wy^2 + w4y + w16\\[/tex]
now put the values of w in the equation
[tex](y-4x)y^2 + (y-4x)4y + (y-4x)16\\y^3-4xy^2 + 4y^2-16xy+16y-64x\\[/tex]
Here the value of a is 16.
Learn more about the distributive property:
https://brainly.com/question/26207297
Answer:
16
Step-by-step explanation:
Pls help!
A spinner is divided into 6 equal sectors labeled with the letters A through F The spinner is spun 30 times. How many times is it expected that a vowel will be spun? O approximately 5 times O approximately 6 times approximately 10 times o approximately 15 times
Answers
The spinner illustrates probability, and it is expected that a vowel will be spun approximately 10 times
How to determine the expected number of vowels?In the spinner, we have:
Sections = 6
Vowels = 2 i.e. A and E
The expected number of vowels in 30 spins is:
Expected = Vowels/Sections * 30
This gives
Expected = 2/6* 30
Evaluate the product
Expected = 10
Hence, it is expected that a vowel will be spun approximately 10 times
Read more about expected values at:
https://brainly.com/question/15858152
Answer:
the answer is 10
Step-by-step explanation:
What is the quotient of (x3 – 3x2 3x – 2) ÷ (x2 – x 1)? x – 2 x 2 x – 4 x 1
Answers
The quotient of the equation is x-2.
What is the quotient?The quotient is the number that is generated when we perform division operations on two numbers. Basically, it is the result of the division method.
The given equation is;
[tex]\rm \dfrac {x^3 - 3x^2 + 3x -2}{ x^2 - x + 1}\\\\[/tex]
By fraction, a quotient is a number obtained by dividing the dividend by the divisor which is a simple division of numerator and denominator.
The solution of the equation is determined in the following steps given below.
[tex]\rm = \dfrac {x^3 - 3x^2 + 3x -2}{ x^2 - x + 1}\\\\\rm = \dfrac {( x^2 - x + 1)(x-2)}{ x^2 - x + 1}\\\\=x-2[/tex]
Hence, the quotient of the equation is x-2 .
Learn more about quotient here;
brainly.com/question/17431959
If you place 6 blue 3 yellow and 5 pink marbles in a bag close your eyes and choose a marble what is the probability that it will be blue
Answers
Answer:
6/14 or simplify it to 3/7
Step-by-step explanation:
this is because you have a total of 14 marbles
Match Term Definition
Triangle A) shape created when a rectangle is rotated about the y-axis
Rectangle B) perpendicular cross section of a cylinder
Circle C) parallel cross section of a sphere
Cylinder D) perpendicular cross section of a pyramid
Cone E) shape created when a right triangle is rotated about the y-axis
Answers
Answer:
Perpendicular cross section of a pyramid ------- triangle.
Perpendicular cross section of a cylinder ------- rectangle
parallel cross section of a sphere ------ circle
shape create.... ----- cylinder.
Step-by-step explanation:
Imagine you cut pyramid like that. Height of pyramid would be height of your triangle. and sides of pyramid would be sides of triangle.
diameter of a base of cylinder would be one side of rectangle and height of cylinder would be other side of rectangle. (pair of sides)
when you cut sphere a side would apear with shape of circle.
one side of rectangle would be hight of cylinder and other would be radius of it.
last one is cone. If you place right angle in coordinate beginning (0.0) and one of shorter sides to lie on y axis other would be on x axis. when rotated you get cone.
There are 420 fans at a high school basketball game. The ratio of students to parents is 5 to 2. Exactly how many more students are there than
parents at the game?
Answers
Answer:
180 more students than parents at the game
Step-by-step explanation:
There are 5 students for every 2 parents equalling 7 people in one set of students to parents ratio.
There are 420 fans at the game. Divide the 420 by the 7 people per set.
420 / 7 = 60 (There are 60 sets of 5 students to 2 parents ratio)
Multiply the 60 sets by 5 students and 2 parents, respectively:
60 x 5 = 300 students
60 x 2 = 120 parents
Subtract the number of parents from number of students:
300 students - 120 parents = 180 more students
The school auditorium has 120 seats. The school is selling tickets for 3 performances of the school play. How many tickets are available. Show your work.
Answers
Answer:
Friday: 18 tickets Saturday:24 tickets Sunday: 2 tickets
Step-by-step explanation:
120-102=18 tickets
120-96=24 tickets
120-118=2 tickets
TYSM I REALLY NEEDED IT TY!!
it helped me
At a local high school, enrollment in the drama club increases by 5% each year. what is the common ratio in this situation? 0.05 0.95 1.05 1.95
Answers
At a local high school, enrollment in the drama club increases by 5%. the common ratio will be 1.05.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
At a local high school, enrollment in the drama club increases by 5%.
Let an initial number of students in high school be 'a'.
so next year increase in students will be = 5% of a
= 5/100 × a
= 0.05a
and total number of the students will be = ( a + 0.05a )
= ( 1.05a )
So common ratio of the geometric square formed
( 1.05a )/ a = 1.05
Therefore, the common ratio will be 1.05.
Learn more about percentages;
https://brainly.com/question/14816043
In parallelogram ABCD, m∠B = 32 + 35 and m∠D = 52 + 13. Find m∠C.
Answers
Answer:
113°
Step-by-step explanation:
1) according to the condition m(∠B)=m(∠D)=67°;
2) m(∠C)=180°-m(∠B)=180°-m(∠D);
m(∠C)=180-67=113°.
Algebra Find the value of x.
Answers
Answer:
8 :)
Step-by-step explanation:
Side 1: 15
Side 2: 14
Side 3: 7 + x
Side 1 and 3 are the same length so we subtract :D
15 - 7 = 8
Have an amazing day!!
Please rate and mark brainliest!!
You pick a card at random, put it back, and then pick another card at random.
1 2 3 4
What is the probability of picking a number greater than 1 and then picking a number greater
than 2?
Answers
Answer:75% percent chance of picking a card greater than 1 and a 50% chance of picking a card greater than 2
Step-by-step explanation:
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Diego borrowed $915 for nine months with monthly payments of $108.00.
What is the amount of total payments?
O $1,023
$1,002
S972
$915
Answers
Step-by-step explanation:
108 x 9 = 972
so it's 972 dollars
Amin has 16 pots of equal size. He used 9 bags of potting soil to fill 12 of the pots. At that rate, how many bags of potting soil does Amin need to fill the remaining 4 pots?
Answers
Answer:
5 1/3 bags
Step-by-step explanation:
12/9 = 1 1/3 bags per pot
4 * 1 1/3 = 5 1/3 bags to fill the pots
Answer:
3 bags
Step-by-step explanation:
Given
Amin has 16 potsHe fills 12 of them with 9 bags of soilSolving
No. of bags per pot = 9/12No. of bags per pot = 0.75Remaining pots = 3Bags needed = 0.75 x 3 = 2.25 bags3 bags (nearest whole number)Which transformation is this an example of?
A. reflection
B. rotation
C. translation
D. None of these
Answers
Answer:
B. rotation
Step-by-step explanation:
A reflection would mean that the shape would be mirrored across the y-axis or the x-axis. A translation means that nothing about the shape changes except for the location. A dilation (not an answer option but still helpful to know) is the change in size of the shape. And finally, the correct answer for this problem, a rotation means that the shape is rotated at a specific point.
I included a picture that uses a shape to help explain this idea. I hope this helps! Have a lovely day!! :)
explanation: reflection is a mirrored version of it.
translation is where it doesn’t change at all except for where it is.
rotation is where it flips horizontal to vertical over and over.
a line that includes the point (7,-9) has a slope of -2. v
Answers
Answer:
y = - 2x + 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 2 , then
y = - 2x + c ← is the partial equation
to find c substitute (7, - 9 ) into the partial equation
- 9 = - 14 + c ⇒ c = - 9 + 14 = 5
y = - 2x + 5 ← equation of line
In a class of students, the following data table summarizes how many
students have a cat or a dog. What is the probability that a student
chosen randomly from the class has a dog?
Answers
Answer:
22/29
Step-by-step explanation:
First, add up all of the numbers given:
16 + 4 + 6 + 3 = 29
Now since there are 16 students who have a dog and a cat, and 6 who only have a dog, we add those numbers:
16 + 6 = 22
Now since there are 29 total numbers, that will be the number of outcomes out of the 22 people with dogs:
22/29
• A principal is planning for 120 parents
to attend the Eighth Grade Open House.
In the multipurpose room, round tables
seat 6 and square tables seat 8. Let x
equal the number of round tables needed.
Let y equal the number of square tables
needed. Write an equation that represents
this situation. Then use the equation to
determine the number of round tables
needed if no square tables are used.
Answers
Answer:
✏If the rod is held straight then the angle alpha equals 90°,therefore the required solution is 45°
Step-by-step explanation: