Which of the following best describes the graph shown below?
16
A1
1
14
O A This is the graph of a linear function
B. This is the graph of a one-to-one function
C. This is the graph of a function, but it is not one to one
D. This is not the graph of a function
Answers
The vertical line test helps us see that we have a function. Note how it is not possible to draw a single straight line through more than one point on the curve. Any x input leads to exactly one y output. This graph passes the vertical line test. Therefore it is a function.
The function is not one-to-one because the graph fails the horizontal line test. Here it is possible to draw a single straight horizontal line through more than one point on the curve. The horizontal line through y = 2 is one example of many where the graph fails the horizontal line test, meaning the function is not one-to-one.
The term "one-to-one" means that each y value only pairs up with one x value. Here we have something like y = 2 pair up with multiple x values at the same time. This concept is useful when it comes to determining inverse functions.
Related Questions
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. The height (in feet) of a rocket launched from the ground is given by the function f(t) = -16t2 + 160t. Match each value of time elapsed (in seconds) after the rocket’s launch to the rocket's corresponding instantaneous velocity (in feet/second).
Answers
Answer:
The pairs are;
t, v
2, 96
4, 32
5, 0
6, -32
7, -64
9, -128
Step-by-step explanation:
The given equation is f(t) = -16·t² + 160·t
We have, the velocity, v = d(f(t))/dt = d(-16·t² + 160·t)/dt = -32·t + 160
Which gives;
t, v
0, -32×(0) + 160 = 160
1, -32×(1) + 160 = 128
2, -32×(2) + 160 = 96
3, -32×(3) + 160 = 64
4, -32×(4) + 160 = 32
5, -32×(5) + 160 = 0
6, -32×(6) + 160 = -32
7, -32×(7) + 160 = -64
8, -32×(8) + 160 = -96
9, -32×(9) + 160 = -128
The given velocity values are;
96, -64, 32, 0, -128, -32 which correspond to 2, 7, 4, 5, 9, 6
The pairs are;
t, v
2, 96
4, 32
5, 0
6, -32
7, -64
9, -128
Find the next three terms in the geometric sequence.
Answers
Answer: D
Step-by-step explanation:
The common difference is -2/3 so using the last term which is -8/27 multiply it by -2/3 to find the next terms.
[tex]-\frac{8}{27} * -\frac{2}{3}[/tex] = [tex]\frac{16}{81}[/tex]
[tex]\frac{16}{81} * -\frac{2}{3} = -\frac{31}{243}[/tex]
[tex]-\frac{32}{243} * -\frac{2}{3} = \frac{64}{729}[/tex]
Write the expression 12-2 in simplest form.
Answers
Answer:
convert into a whole number 6
12. Write 0.8 as a fraction,
Pls explain in full detail.
Answers
Answer:
8/10
Step-by-step explanation:
10x10 is 100 8x10 would be 80 so 80/100=8/10
Answer:
8/10 = 4/5
Step-by-step explanation:
0.8 is 8-10th which means 8 divided by 10
reducing 8/10 to its lowest term since 8 and 10 has 2 as common factor, then
(8=2*4)/(10=2*5)
if 2 cancels out, then you are left with 4/5
i need help with this question
Answers
Answer:
1000ml
Step-by-step explanation:
4 days she drank ½ of the bottle
so she drank ⅛ l of juice everyday
so
1000ml is the answer
Solve: 3a^2-4b a= -6 b= -5 If you could also leave an explanation that would be great! Thank you for your time!
Answers
Answer:
128
Step-by-step explanation:
3a² - 4b
plug in values
3(-6)² - 4(-5)
use PEMDAS and simplify (-6)² first
3(36) -4(-5)
multiply
108 + 20
add
128
hope this helps :)
The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10
Find d when v=70
Answers
Answer:
d = 245Step-by-step explanation:
d is directly proportional to the square of a speed v
d = av²
5 = a•10²
5 = 100a
a = 0.05
d = 0.05v²
d = 0.05•70²
d = 0.05•4900
d = 245
an inch worm is how long in general
Answers
Answer:
A inch
Step-by-step explanation:
is 1 whole 1 by 3 considered as an integer??
Answers
Answer:
No it's not.
Step-by-step explanation:
[tex]1 \frac{1}{3} = \frac{4}{3} = 1.333333[/tex]
Integers are set of numbers consisting
Whole numberNatural numberNegative numbersIt doesn't consist
Fractions &DecimalsHope this helps ;) ❤❤❤
Answer:
[tex]\boxed{\sf No}[/tex]
Step-by-step explanation:
[tex]\displaystyle 1 \frac{1}{3} =1.3333333...[/tex]
Integers are whole numbers that can be positive or negative. Integers do not include fractions and decimals.
Evaluate without actual multiplication 1) 95x96 2)103x107
Answers
Answer:
:
"(100 + 3) (100 + 7)
Now, by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 100 , a = 3 , b = 7
= (100)² + (3+7)*100 + (3*7)
= 10000 + 1000 + 21
= 11021
.
(110 - 7) (110 - 3)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 100 , a = (-7) , b = (-3)
= (110)² + { (-7) + (-3) }*110 + {(-7)*(-3)}
= 12100 + (-10)*110 + 21
= 21200 - 1100 + 21
= 11021
.
➖➖➖➖➖➖➖➖➖➖
.
(90 + 5) (90 + 6)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 90 , a = 5 , b = 6
= (90)² + (5+6)*90 + (5*6)
= 8100 + 990 + 30
= 9120
.
(100 - 5) (100 - 4)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 100 , a = (-5) , b = (-4)
= (100)² + { (-5) + (-4) }*100 + 20
= 10000 + (-9)*100 + 20
= 10000 - 9000 + 20
= 10020 - 900
= 9120
.
➖➖➖➖➖➖➖➖➖➖
.
(100 + 4) (100 - 4)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 100 , a = 4 , b = (-4)
= (100)² + { 4 + (-4) }*100 + 4*(-4)
= 10000 + (4 - 4)*100 - 16
= 10000 + 0*100 - 16
= 10000 - 16
= 9984
.
(90 + 14) (90 + 6)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 90 , a = 14 , b = 6
= (90)² + (14 + 6)*90 + (14*6)
= 8100 + 20*90 + 84
= 8100 + 1800 + 84
= 9984"
This answer was in another question
This answer was given by BloomingBud
Step-by-step explanation:
Answer:
1) 9120 2) 11021
Step-by-step explanation:
95 * 96 = (100-5)(100-4) = 10000 - 500 - 400 + 20 = 9120
103 * 107 = (100+3)(100+7) = 10000 + 300 + 700 + 21 = 11021
the cost of cementing a wall 8 feet wide and 24 feet long at 14.40 a square yard is
will mark brainlist
Answers
Answer:
$307.20
Step-by-step explanation:
8×24=192
Convert 192 square feet to square yards, which is 21.3333
Then multiple: 21.333×14.40=307.1999
Then round to the nearest hundredths
The final answer is $307.20
help me please ;))) (yes im very rich that's why I'm giving out lots of points -_- (and brainly ;))
Answers
Answer:
(I) 17.25 miles
(ii) 1hr56mins20seconds
(III) 4hrs47mins38seconds
Step-by-step explanation:
(I) read from the lowest distance given
(ii) read from the longest time given
(III) added all times together to get total cycling time
Step-by-step explanation:
here,
shortest distance is 17.25 miles
the longest time is 1:56:20 hrs:mins:secs
total time is 4:47:38
The formula for the area (A) of a circle is A = π • r2, where r is the radius of the circle. Ronisha wants to find the area of a sector of a circle that has a central angle of π6 radians. Enter the number that Ronisha should multiply by to find the area of the sector of the circle. Round your answer to the nearest hundredth.
Answers
Greetings from Brasil...
Here we will apply rule of 3...
This formula, A = πR², its for the whole circle, that is, 360° (2π)
We want the area of only a part, that is, a circular sector whose angle π/6
sector area
2π ----- πR²
π/6 ----- X
2πX = (π/6).πR²
2πX = π²R²/6
X = π²R²/12π
X = πR²/12If Ronisha multiply the area by 1/12 she will get the area of sector with angle of π/6
Given that ΔABC is a right triangle with the right angle at C, which of the following is true?
1. tan A = 1/(tan B)
2. tan A = sin B
3. cos A = 1/(cos B)
4. sin B = 1/(sin A)
Answers
Answer:
1. tan A = 1/(tan B)
Step-by-step explanation:
By definition,
tangent A = opposite / adjacent = a / b
and
tangent B = opposite / adjacent = b / a
Therefore tangent A = a/b = 1/tan(B)
Answer: Tan a=tan b
I belive
Step-by-step explanation:
What is the image point of (-5,9) after a translation left 1 unit and down 1 unit?
Answers
Answer: (-6,8)
Step-by-step explanation:
Translation is a rigid motion inn which every point of the figure moved in the same direction and for the same distanceTranslation rules are
Left c units : [tex](x,y)\to(x-c,y)[/tex]
Down c units : [tex](x,y)\to(x,y-c)[/tex]
The image point of (-5,9) after a translation left 1 unit and down 1 unit will be:
[tex](-5,9)\to(-5-1,9-1)=(-6,8)[/tex]
Hence, the image point is (-6,8).
HELP ME PLEASE The student's in Roberto's school are painting a mural that will be 8 feet by 15 feet. First they make a scale drawing of the mural with a scale of 2 feet:5 feet. What are the length and width of the scale drawing in feet
Answers
Answer:
Length = 3.2feets ; width = 6feets
Step-by-step explanation:
Given the following :
Actual dimension of Mural:
8feets by 15feets
Scale drawing ratio of Mural :
2feets : 5feets
This means :
2 Feets on paper equals 5 Feets of actual drawing:
Therefore, with actual dimension of Length = 8feets ;
Length of scale drawing = (2/5) * 8 = 3.2feets
Actual dimension of width 15feets ;
Width of scale drawing = (2/5) * 15 = 6 Feets
a rectangle is 12 in wide and 18 in tall.if it is reduce to a height of 3 inches, then how wide will it be?
Answers
Answer:
2 in
Step-by-step explanation:
18/3=6 , 6 is the scale factor
12/6=2
Answer:
width= 2
Step-by-step explanation:
18 inches is the original height and we are now reducing that to 3 inches.
In order to do that, we have to divide 18 by 3 which equals 6.
Next, take the width of the rectangle, which is twelve and divide it by the scale factor of 6 which equals 2.
Your final answers should be: width= 2
give area of a rectangle measuring 12 ft by 9ft and please show all the work
Answers
Answer:
Area= 108ft²
Step-by-step explanation:
To find the area of a rectangle, you must do the following formula:
Area= Length × Width
A represents Area
L represents Length
W represents Width
Because the length (length is always longer than width) is 12 ft and the width (width is always shorter than length) is 9 ft. Your equation should be:
A= L × W
= 12ft × 9ft
= 108 ft²
Remember: The answer to a question asking for the area of a shape that is 2D, is always squared (let x represents the answer: x²). And the question asking the area of a shape that is 3D always cubed (let x represents the answer: x³). Always write the unit of measurement (let x represent the answer and cm as the example of unit of measurement: x cm²)
I hope this helps! I'm sorry if it's too complicated.
Nina is training for a marathon. She can run 4 1/2 kilometers in 1/3 of an hour. At this pace, how many kilometers can Nina run in 1 hour?
Answers
Answer:
Nina can run:
13 1/2 km in 1 hour
Step-by-step explanation:
4 1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2
proportions:
9/2 hours ⇔ 1/3 hour
N hours ⇔ 1 hour
N = (9/2)*1 / (1/3)
N = (9/2) / (1/3)
N = (9*3) / (2*1)
N = 27/2
27/2 = 26/2 + 1/2 = 13 + 1/2 = 13 1/2
Nina can run:
13 1/2 km/h
13 1/2 km in 1 hour
Nina can run [tex]13\frac{1}{2}[/tex] km in an hour
The distance Nina can run in an hour can be determined by dividing the distance she can run in 1/3 of an hour by 1/3
Distance Nina can run in an hour = distance run ÷ [tex]\frac{1}{3}[/tex]
[tex]4\frac{1}{2}[/tex] ÷ [tex]\frac{1}{3}[/tex]
Convert the mixed fraction to an improper fraction [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex]
Convert the improper fraction back to an mixed fraction = [tex]13\frac{1}{2}[/tex] km
To learn more about fractions, please check:
https://brainly.com/question/21449807?referrer=searchResults
anyone know how to solve a functions equation such as x^2-x-x <0
Answers
Answer:
Step-by-step explanation:
[tex]x^{2} -x-x<[/tex] 0
[tex]x^{2} -2x[/tex] < 0
x^2-2x+1<1
(x-1）^2<1
-1<x-1<1
0<x<2
[tex](x-1)^{2}[/tex][tex](x-1)^{2}[/tex]
for 0°<θ<-180° which of the primary trigonometric functions may have positive values?
Answers
sine and cosecant.
you can see the graph or on unit circle, as the for these ratios, (which depend on y coordinate) 1st and 2nd quadrant have positive y coordinate
PLEASE - Select the correct answer.
Answers
Answer:
D
Step-by-step explanation:
Between what two consecutive integers on the number line is the graph of the sum sqrt(30) + sqrt(50)?
Answers
Answer:
sqrt(30)+sqrt(50) = 12.5482933869171364 which is between m and n 12 and 13
2. The fraction 84 by 98 in simplest form is
Answers
Answer: 6/7
Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7
Answer:6/7
Step-by-step explanation:The greatest common factor of both numerator and denominator is 14.So if you divide 84 by 14 you will get 6 and if you divide 98 by 14 you get 7.
A train moves at a speed of 90 km/hr. How far will it travel in 36 minutes?
Answers
Answer:
(90/60)*36 = 54 km
Step-by-step explanation:
The circle shown above has a radius of 5 units, and the central angle of the sector that is shaded is 25π radians. Determine the area of the shaded sector, in terms of π. Enter the area of the sector.
Answers
Answer:
The answer is below
Step-by-step explanation:
Given that:
The radius of the circle (r) = 5 units
The central angle (θ) = 25π
A sector of a circle is the portion of a circle made up of two of its radii and an arc. The area of a sector that subtends with a central angle (θ) and a radius (r) is given by the formula:
[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2[/tex]
Substituting the radius of the circle and the central angle:
[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2\\\\Area\ of\ sector=\frac{25\pi}{360} *\pi (5)^2\\\\Area\ of\ sector=\frac{125\pi^2}{72}[/tex]
Consider the equation: x 2 − 6 = 2 − 18 x x 2 −6=2−18xx, squared, minus, 6, equals, 2, minus, 18, x 1) Rewrite the equation by completing the square. Your equation should look like ( x + c ) 2 = d (x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or ( x − c ) 2 = d (x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d. 2) What are the solutions to the equation? Choose 1 answer: Choose 1 answer: (Choice A) A x = 9 ± 89 x=9±89x, equals, 9, plus minus, 89 (Choice B) B x = − 9 ± 89 x=−9±89x, equals, minus, 9, plus minus, 89 (Choice C) C x = 9 ± 89 x=9± 89 x, equals, 9, plus minus, square root of, 89, end square root (Choice D) D x = − 9 ± 89 x=−9± 89 x, equals, minus, 9, plus minus, square root of, 89, end square root
Answers
Answer:
1. (x+9)^2 = 89
2. (Choice D) D x = − 9 ± 89 x=−9± 89 x, equals, minus, 9, plus minus, square root of, 89, end square root
Step-by-step explanation:
x^2 - 6 = 2 - 18x
1) rewrite the equation by completing the square
x^2 - 6 = 2 - 18x
x^2 + 18x = 2+6
x^2 + 18x = 8
Find the half of the coefficient of x and square it
18x
Half=9
Square half=(9)^2
=81
Add 81 to both sides
x^2 + 18x = 8
x^2 + 18x + 81 = 8 + 81
x^2 + 18x + 81 = 89
(x+9)^2 = 89
Check:
(x+9)(x+9)=89
x^2 + 9x + 9x + 81=89
x^2 + 18x +81 =89
2) (x+9)^2 = 89
√(x+9)^2 = √89
x+9=√89
x=√89 - 9
It can be rewritten as
x= -9 ± √89
(Choice D) D x = − 9 ± 89 x=−9± 89 x, equals, minus, 9, plus minus, square root of, 89, end square root
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
Answers
Answer:
25/4 laps or (6.25 laps)
Step-by-step explanation:
1 lap = 1 1/5 miles
kellyn plans to jog 7 1/2 miles
1 lap
number of laps = 7 1/2 miles x -------------- = 25/4 laps or (6.25 laps)
1 1/5 miles
solve for x 13x + 7 = 5x - 20
Answers
Answer:
13x + 7 = 5x - 20
Step-by-step explanation:
SOLVE for X
13x + 7 = 5x - 20
-------------------------
-5x -7
------------------------
8x=-27
x= -3.375 or -27/8
Answer:
x = -27/8
Step-by-step explanation:
combine the x terms. To do this, subtract 5x from both sides. We get:
8x + 7 = -20.
Next, subtract 7 from both sides, obtaining:
8x = -27, or x = -27/8
The focus of a parabola is (3,-7) and the directrix is y = -4.
What is an equation of the parabola?
Answers
Answer:
(a) (x -3)^2 = -6(y +5.5)
Step-by-step explanation:
The equation of a parabola can be written as ...
(x -h)^2 = 4p(y -k)
where (h, k) is the vertex, and p is the distance from the focus to the vertex.
The vertex is half-way between the focus and directrix, so is ...
(h, k) = (1/2)((3, -7) +(3, -4)) = (3, -5.5)
The focus is at y=-7, and the vertex is at y=-5.5, so the distance between them is ...
-7 -(-5.5) = -1.5
Then the equation for the parabola is ...
(x -3)^2 = 4(-1.5)(y -(-5.5))
(x -3)^2 = -6(y +5.5) . . . . matches the first choice
