Does this graph show a function? Explain how you know.
O A. Yes; there are no y values that have more than one x-valuer
O B. No, there are y-values that have more than one x-value.
O C. Yes, the graph passes the vertical line test.
O D. No, the graph fails the vertical line test. SUBMIT
Answers
Answer: D) No. The graph fails the vertical line test.
Explanation:
We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).
So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.
In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.
Related Questions
A computer company makes a rectangular screen with a diagonal of 20 inches. The width of the screen is 4 inches less than its length. The dimensions of the computer screen are modeled by the equation x2 + (x – 4)2 = 202. What is the value of x, the length of the screen? x = –16 x = –12 x = 12 x = 16
Answers
Answer:
Step-by-step explanation:
x = length of screen
x-4 = width of screen
x² + (x-4)² = 20²
x² + (x²-8x+16) = 400
2x² - 8x - 384 = 0
x² - 4x - 192 = 0
use the quadratic formula to solve for x
x = [4 ± √(4²-4·1(-192))]/[2·1]
= [4 ± √784]/2
= 4 ± 28]/2
= 16, -12
-12 is an extraneous solution, so x = 16 inches.
:::::
Exponents need to be marked with a ^. For example, (x-4)² can be written (x-4)^2.
Answer:
x = 16
Step-by-step explanation:
The answer above is correct.
Explain how to plot the point (3, –7) on the coordinate plane.On a coordinate plane, point A is (negative 4, negative 1), point B is (negative 4, 1), point C is (5, negative 1), and point D is (5, 2). Point P is at (5, 1). Which point is a reflection of Point P across the x-axis?
Answers
Answer:
a) In a coordinate plane, the horizontal axis is the x-axis, and the vertical axis is the y-axis.
So, a point (x, y) is at:
A horizontal distance of x units from the origin.
A vertical distance of y units from the origin.
So the point (3, -7) is at:
3 units at the right from the origin
7 units downwards (because is a -7) from the origin.
The graph of the point can be seen below:
Now we want to find a reflection across the x-axis.
b) For a general point (x, y), a reflection across the x-axis gives:
(x, -y)
So, if our point P is:
P (5, 1)
The reflection across the x-axis just changes the sign of the y-value, which gives:
(5, -1)
Then the correct option is point C:
(5, -1)
Answer:
its C on exgenity
Step-by-step explanation:
Assume that abc = pqr. Which of the following congruence statements are correct? Check all that apply
Answers
Answer:
A and E are correct congruence statements.
Answer:
A E
Step-by-step explanation:
Please if someone can help me
Answers
[tex]\huge\underline\gray{✏ANSWER}[/tex]
[tex] \frac{6}{7} [/tex]
I hope it helps!
#BrainliestBunch
What happens when the weather gets colder?
A.The air pressure will decrease slowly.
B. The air pressure will rise.
C.The air pressure will decrease quickly.
D. The air pressure will not change.
Answers
Step-by-step explanation:
B. The air pressure will rise.
hope this helps you
have a nice day
Answer:
B
Step-by-step explanation:
Can someone tell me how to solve this question?
Answers
Answer:
126 5p coins
Step-by-step explanation:
Because there are three unknowns, you would need to have three equations. (1p=x, 2p=y, 3p=z). The three equations are: x+y+z=630, (2/5)*630=y, and 2z=x. Now we know that y=252. x+252+z=630, x+z=378, replace x with 2z (from last equation) to get 3z=378, so z=126.
At the movie theatre, child admission is $5.20 and adult admission is $9.00. On Monday, 156 tickets were sold for a total sales of $1065.80. How many adult
tickets were sold that day?
Answers
Answer:
67 adult tickets were sold that day
Step-by-step explanation:
x= Number of adults that day, y=Number of children that day
ATQ, x+y=156 and 5.2*x+9*y=1065.8. Solving it, we will get x=89 and y=67
please tell this question answer I dont know
Answers
Answer:
a (26+10)-2 =34
b (34+42)-42 = 34
c ( 39+40)-45 =34
d (52+25)-43 =34
e(25+22)-13 =34
f (47+11)-24 =34
g(59+19)-35 =34
h (71 +7)-44= 34
solved
An isosceles triangle has an angle that measures 134°. Which other angles could be in that isosceles triangle? Choose all that apply. 23 20 72 81
Answers
Answer:
23
Step-by-step explanation:
one angle = 134
Other two angles are the base angles which are same.
x + x + 134 = 180 {Angle sum property}
2x + 134 = 180
2x = 180 - 134
2x = 46
x = 46/2
x = 23
Other two angles are 23 , 23
a sweater was 48$ but its now 2/3 of it original price and you have a 5$ coupon
Answers
Answer:
27
Step-by-step explanation:
First find 2/3 of the original price
48*2/3 =32
Now subtract the coupon
32 -5
27
You will pay 27 dollars before tax
Arnold makes a chart to summarize what happens when light interacts with matter and is reflected. Which idea does Arnold need to correct? In specular reflection, reflected rays move in the same direction. In scattering, light strikes particles in the atmosphere. In diffuse reflection, reflected rays move in different directions. In scattering, long wavelengths are scattered the most.
Answers
Answer:
In diffuse reflection, reflected rays move in different directions.
Step-by-step explanation:
Reflection refers to the bouncing off of light from a surface. Reflection can be regular or diffuse.
Regular reflection occurs when light bounces off a well polished surface while diffuse reflection occurs when light bounces off a rough surface.
During diffuse reflection, light is reflected in different directions.
Answer:
In scattering, long wavelengths are scattered the most.
Step-by-step explanation: took the test for Edg 21
4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4
Answers
Answer:
Step-by-step explanation:
We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:
[tex]a_n=a_1+d(n-1)[/tex] and we are given enough info to fill in:
[tex]a_n=-35+4(n-1)[/tex] and
[tex]a_n=-35+4n-4[/tex] and
[tex]a_n=-39+4n[/tex] or in linear format:
[tex]a_n=4n-39[/tex] where n is the position of the number in the sequence. We already know the first term is -35.
The second term:
[tex]a_2=4(2)-39[/tex] so
[tex]a_2=8-39[/tex] and
[tex]a_2=-31[/tex]
The third term:
[tex]a_3=4(3)-39[/tex] and
[tex]a_3=12-39[/tex] so
[tex]a_3=-27[/tex] and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.
That means that the fourth term will be -27 + 4 which is -23.
The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:
[tex]a_5=4(5)-39[/tex] and
[tex]a_5=20-39[/tex] so
[tex]a_5=-19[/tex]
How do we find an equation of a linear function by giving two
points
Answers
Answer:
the right side of the image is truncated,
but "A" seems to be the answer....
take (2,3) and (3,4)
#1) y2-y2/x2-x1 ... 4-3/3-2 = 1 ... slope = 1
#2 ) y = 1x + b
#3 plug in (2,3) ... 3 = 1(2) + b ... B=1
#4 Y= 1 x + 1
Step-by-step explanation:
Find the height in centimeters of a square pyramid with a volume of 72cm^ 3 and a base edge length equal to the height
Answers
Answer:
The height of the pyramid is 6 cm.
Step-by-step explanation:
The volume of a square pyramid is given by:
[tex] V = \frac{1}{3}A_{b}h = 72 cm^{3} [/tex]
Where:
[tex]A_{b}[/tex]: is the area of the base
h: is the height
Since the base edge length is equal to the height, the area of the base is:
[tex]A_{b} = l^{2} = h^{2} [/tex]
Hence, the height is:
[tex] 72 cm^{3} = \frac{1}{3}A_{b}h = \frac{1}{3}h^{2}h [/tex]
[tex] h = (3*72 cm^{3})^{1/3} = 6 cm [/tex]
Therefore, the height of the pyramid is 6 cm.
I hope it helps you!
2. Jessica is applying for a new job as a cosmetologist. Job A offers $40,000 starting salary with at $1000 raise
each year . Job B offers $35,000 starting salary with a 8% raise each year. If Jessica is looking to stay at this
position for over 10+ years, which job should she pick?
Answers
Answer:
Job B
Step-by-step explanation:
If we calculate her salary after 10 years
For job A:
it would be 40,000+10,000=$50,000
For job B:
it would be $75,562.3749
Can someone help me plz
Answers
Answer:
75°
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle = ? = θ
Side length opposite to reference angle = 27
Hypotenuse length = 28
Apply SOH, which is:
[tex] sin(\theta) = \frac{Opposite}{Hypotenuse} [/tex]
Substitute
[tex] sin(\theta) = \frac{27}{28} [/tex]
[tex] \theta = sin^{-1}(\frac{27}{28}) [/tex]
[tex] \theta = 75 degrees [/tex] (nearest degree)
Cuánto dinero me gasto en colocarle baldosas a una sala comedor que tiene 9.30 de largo por 4.20 metros de ancho
Answers
La pregunta está incompleta ya que no se da el costo de la colocación de baldosas por m².
Suponga que el costo de los mosaicos por m² = c
Respuesta:
39.06c
Explicación paso a paso:
El costo del embaldosado será:
El costo por m² * área total a embaldosar
Dado que :
La dimensión de la habitación a embaldosar es:
Longitud = 9,30 metros
Ancho = 4.20 metros
El área total de la habitación a embaldosar es = Largo * ancho
Área total de la habitación a embaldosar = 9,30 m * 4,20 m
Superficie total de la habitación a embaldosar = 39,06 m²
Si el costo del mosaico por m² = c
El costo de embaldosar la habitación será:
39,06 * c = 39,06c
In ΔABC, m < B = 22°, m < C = 52° and a = 30. Find the length of b to the nearest tenth.
Answers
Answer:
The length of [tex]b[/tex] is approximately 11.7.
Step-by-step explanation:
The sum of internal angles in triangles equals 180°, as we know the measures of angles B and C, we determine the measure of angle A by algebraic means:
[tex]A = 180^{\circ}-B-C[/tex] (1)
([tex]B = 22^{\circ}[/tex], [tex]C = 52^{\circ}[/tex])
[tex]A = 180^{\circ}-22^{\circ}-52^{\circ}[/tex]
[tex]A = 106^{\circ}[/tex]
The length of [tex]b[/tex] is found by the Law of Sine:
[tex]\frac{b}{\sin B} = \frac{a}{\sin A}[/tex]
[tex]b = a\cdot \left(\frac{\sin B}{\sin A} \right)[/tex]
([tex]a = 30[/tex], [tex]A = 106^{\circ}[/tex], [tex]B = 22^{\circ}[/tex])
[tex]b = 30\cdot \left(\frac{\sin 22^{\circ}}{\sin 106^{\circ}} \right)[/tex]
[tex]b \approx 11.7[/tex]
The length of [tex]b[/tex] is approximately 11.7.
Help anyone.!!!!!!!!
Answers
Answer:
2/5 is the answer man ooooo
Answer:
[tex]\frac{1}{25}[/tex]
Step-by-step explanation:
So when you have a negative exponent, it means reciprocal.
[tex]5^{-2}[/tex] will now be [tex]\frac{1}{5^2}[/tex]
Now find the squared 5. 5 * 5 is 25.
So, your answer is 1/25
Hope this helps !!
-Ketifa
Solve 5x + 14 = k for x
Answers
Answer:
x = 1/5(k-14)
Step-by-step explanation:
5x + 14 = k
Subtract 14 from each side
5x+14-14 = k-14
5x = k-14
Divide by 5
5x/5 = 1/5(k-14)
x = 1/5(k-14)
50 Points:
What are the coordinates of the point that is
2/3 of the way from A to B?
Point A: -4,-1
Point B: 5,5
A. 1,2
B. 0,5/3
C. 2,3
D. -1,1
Answers
Answer:
(-2,3)
Step-by-step explanation:
For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1
Now, we can use the internal section formula to get the coordinates of this point
(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
where (m,n) = (2,1)
(x1,y1) = (-4,-1)
(x2,y2) = (5,5)
(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)
(x,y) = (-4-2)/3, (-1 + 10)/3
(x,y) = (-2,3)
Which segment is the hypotenuse?
Answers
Answer:
SU
Step-by-step explanation:
The hypotenuse is opposite the right angle
The hypotenuse is US or SU
We have to pick,
The segment which is hypotenuse,
Hypotenuse will be the opposite segment of the right angle.
Now it will be,
→ SU (or) US
Hence, SU is the hypotenuse.
Let t
4 and u = 6 + 2i. Find t * u
Answers
you add two with six which is 8
Step-by-step explanation:
you add 2 with6
sunayana borrowed a sum of Rs 25000 at 12 %p.a simple interest for 1 years 6 months and lent to bishwant at the same rate of compound interest compounded half-yearly for the same interval of time . How much profit did she make
Answers
Answer: Rs 275.40
Step-by-step explanation:
Since Sunayana borrowed a sum of Rs 25000 at 12 %p.a simple interest for 1 years 6 months, the total amount that she's expected to pay will be calculated thus:
First, well calculate the interest. This will be:
= PRT/100
= (25000 × 12 × 1.5 / 100)
= 4500
Total amount to be paid back will be:
= Rs 25000 + Rs 4500
= Rs 29500
Since she lent the money to Bishwant, the total amount that Bishwant will pay will be:
A = P(1 + r)^t
where,
A = Final Amount
P= Principal = 25000
r= Rate of interest =
t= Time = 3 cycles
Since it's compounded half yearly, then 1½ywars will be = 1½ × 2 = 3 cycles
The rate will be = 12%/2 = 6% yearly.
We'll then slot the values into the question and this will be:
A = P(1 + r)^t
A = 25000(1 + 0.06)³
A = 25000(1.06)³
A = 25000 × 1.191016
A = 29775.4
Therefore, Bishwant is expected to pay Rs 29775.4
Then the profit that Sunayana is expected to make will be:
= Rs 29775.4 - Rs 29500
= Rs 275.40
I really need help plz help me
Answers
Answer:
64
Step-by-step explanation:
This is actually really easy you just have to subtract 36 from 100
Hope this helps also please mark brainliest
using your graphing calculator what is the solution to this system?
Answers
Answer:
bro i think its 0.75 . -2.25
Step-by-step explanation:
Answer:
Fourth option
Step-by-step explanation:
If you dont have a graphing calculator, we can solve this system using elimination. If we subtract the two linesr functions, we get
[tex](3x - 8y = 29) - (3x + y = - 2) = - 9y = 31[/tex]
So our new equation is
[tex] - 9y = 31[/tex]
[tex]y = - \frac{31}{9} [/tex]
Now since we know what y is, we plug this in back into the equation and solve for x.
[tex]3x - 8( \frac{ - 31}{9} ) = 29[/tex]
[tex]3x + \frac{248}{9} = 29[/tex]
[tex]3x = \frac{13}{9} [/tex]
[tex]x = \frac{13}{27} [/tex]
The answer choice that resembles this mostly is the fourth option.
Karen spent all but $8 of her savings in three stores. In each store she spent $2 less than half of what she had when she went in. How much money did Karen have at the start?
Please HELP!
Answers
Answer:
36 dollars
Step-by-step explanation:
We need to think backwards to solve this question.
(8 - 2) x 2 = 12
(12 - 2) x 2 = 20
(20 - 2) x 2 = 36
find the measure of x . Answer me please
Answers
Answer:
40
Step-by-step explanation:
The sum of measure of exterior angles is equal to 360
5x-20+2x+5+x+15+x = 360 add like terms
9x = 360 divide both sides by 9
x = 40
which property justifies the statement (2x+y^2)z^3=(yz62+2x)z^3
a: associative
b: distributive
c: inverse
d: identity
e: commutative
Answers
the Associative property states that no matter how you use your parenthesis the answer will be the same
ASAppppppppppppppppppppppppppppppppppp
Answers
Answer:
3/8
Step-by-step explanation:
that is the answer
I solved it using a calculator
please give me brainliest
the answer is 3/8 because im right
