Answers
Answer:
D
Step-by-step explanation:
In order to figure out which of the 4 is a function, you must perform the vertical line test for each. No vertical line should intersect the graph of the relation at more than one point. D is the only one that doesnt hit two points when performing the vertical line test.
Since there are unique outputs for every point of x-axis so it represents a fucntion. Hence option D is correct.
Use the concept of fucntion is defined as:
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Since we know that in a fucntion,
For each element of the domain, there is only one output.
Therefore,
For Figure A:
There are two outputs for each value of the positive x-axis.
This is not a function.
For Figure B:
There are outputs for x = 3,
Hence this is also not a fucntion.
For Figure C:
For a circle, there are always two puts,
Hence, This is also not a fucntion.
Figure D:
W can see that for each value of x-axis, there is a unique output,
Hence this is a function. So option D is correct.
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Related Questions
I can’t figure these out D:
Answers
Answer:
Step-by-step explanation:
16. 9a=15x12
9a=180
a=20
17. 9-t=t+3
-t-t=3-9
-2t=-6
t=6/2
t=3
18. 2y+12=3y+12-y
2y+y-3y=12-12
0=0
=> 2y= -12
y= -6
19.
17+3z-6-11z=-7z-14
17+3z-6-11z+14=-7z
17-6+14=-7z-3z+11z
25= -10Z+11z
25=Z
To find the inverse of f(x) = 2x - 1, Patel begins by replacing f(x) with y. He
then switches x and y. What is the next step?
O A. Solve the equation for y.
O B. Solve the equation for x.
C. Subtract 1 from both sides of the equation.
D. Replace y with f1(x).
Answers
Answer:A
Step-by-step explanation:
The inverse of the function is y = (x +1) /2, the next step is to solve the equation for y, the correct option is A.
What is a Function?A function is a law that relates two variables namely, a dependent and an independent variable.
A function always has a defined range and domain, domain is all the value a function can have as an input and range is all the value that a function can have.
The function is f(x) = 2x -1
The inverse of a function is determined by interchanging the variables x and y and then solving for y in terms of x.
Patel replaced f(x) by y, y = 2x -1
He then switched x and y, x = 2y -1
The next step is to solve the equation for y.
2y = x +1
y = (x +1) /2
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Evaluate the function rule below when x= -2
f(x)=-x+2
Answers
Answer:
f(- 2) = 4
Step-by-step explanation:
substitute x = - 2 into f(x) , then
f(- 2) = - (- 2) + 2 = 2 + 2 = 4
Answer:
Given function: [tex]f(x)=-x+2[/tex]
To evaluate the function when [tex]x=-2[/tex], substitute the given value for [tex]x[/tex] into the function and solve:
[tex]\implies f(-2)=-(-2)+2[/tex]
[tex]\implies f(-2)=2+2[/tex]
[tex]\implies f(-2)=4[/tex]
Solve for a, please give step by step explanation
Answers
Answer:
a = (M² - f)/(3d)
Step-by-step explanation:
Step 1: Write equation
M = √(3ad + f)
Step 2: Solve for a
Square both sides: M²= 3da + fSubtract f both sides: (M² - f) = 3daDivide both sides by 3: (M² - f)/3 = daDivide both sides by d: (M² - f)/(3d) = aRewrite: a = (M² - f)/(3d)What is the slope of a line that is perpendicular to the
graph of y=1/6x+8 ?
Select one:
-6
6
1/6
-1/6
Answers
Answer:
A. -6
Step-by-step explanation:
The slope of the line that is perpendicular to the graph y = ⅙x + 8, is a negative reciprocal of the slope of the graph, y = ⅙x + 8.
What this means is that, if you multiply the slope of y = ⅙x + 8, and the slope of the line perpendicular to it, you would have -1. That is [tex] m_1 * m_2 = -1 [/tex].
Where,
[tex] m_1 [/tex] = slope of y = ⅙x + 8.
[tex] m_2 [/tex] = slope of the line perdendicular to y = ⅙x + 8.
The slope of y = ⅙x + 8 is ⅙.
Substitute [tex] m_1 [/tex] = ⅙ into [tex] m_1 * m_2 = -1 [/tex], to find the slope [tex] (m_2) [/tex] of the line that is perpendicular to the graph of y = ⅙x + 8.
[tex] \frac{1}{6} * m_2 = -1 [/tex]
Multiply both sides by 6
[tex] \frac{1}{6} * m_2 * 6 = -1*6 [/tex]
[tex] 1*m_2 = -6 [/tex]
[tex] m_2 = -6 [/tex]
The slope of the line that is perpendicular to the graph of y = ⅙x + 8 is -6.
12. What is the Slope and the Y-intercept of the graph below?
Answers
Answer:
the slope is 2 the y intercept is -3
Step-by-step explanation:
hope this helps
Pablo generates the function f (x) = three-halves (five-halves) superscript x minus 1 to determine the xth number in a sequence. which is an equivalent representation? f(x 1) = five-halvesf(x) f(x) = five-halvesf(x 1) f(x 1) = three-halvesf(x) f(x) = three-halvesf(x 1)
Answers
The [tex]x^{th}[/tex] number in the sequence will be [tex]F[x]=\dfrac{5}{2} F[x][/tex]
What will be the xth number in the sequence?The given function is
[tex]F[x]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1}[/tex]
Now at [tex]x=x+1[/tex] for the function
[tex]F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x+1-1}[/tex]
[tex]F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x }[/tex]
Now we can write
[tex]F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1} \dfrac{5}{2}^1[/tex]
Since [tex]F[x]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1}[/tex]
so
[tex]F[x]=\dfrac{5}{2} F[x][/tex]
Thus the [tex]x^{th}[/tex] number in the sequence will be [tex]F[x]=\dfrac{5}{2} F[x][/tex]
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Answer:
A
Step-by-step explanation:
Took exam and got 100
2)
Jasmine earns $36 for 4 hours of baby-sitting. She charges a constant hourly rate. Compare the tables. Which correctly shows the amount Jasmine earns baby-sitting for different numbers of hours?
A) A
B) B
C) C
D) D
Answers
A because 2 is half of 4 and 18 is half of 36.
Step-by-step explanation: because 2 is half of 4 and 18 is half of 36.
which object is more likely to be 5kg?
a lamp
a car
a dollar bill
????
Answers
Answer:
A dollar bill is to light and the car is two heavy so the car
Step-by-step explanation:
Hope this helps!
Pretty sure a lamp.
A car would be 1000kg, a dollar bill less than 1kg, so most likely a lamp.
If p(x) = x2 - 1 and 9(x) = 5(x - 1), which expression is equivalent to (0-9)(x)?
5(x - 1) - x2 - 1
(5x-1) - (x² - 1)
(x2 - 1) - 5(x - 1)
(x2 - 1) - 5x-1
Answers
Answer:
x^2 -1 - 5(x-1)
Step-by-step explanation:
p(x) = x^2 - 1 and q(x) = 5(x - 1)
p(x) - q(x) = x^2 - 1 - ( 5(x-1))
Distribute
= x^2 -1 - 5(x-1)
Please help me for brainliest
Answers
Answer:
y=-5/3x-1
Step-by-step explanation:
Of course! Two parallel lines will have the same slope. So, we have to eliminate all equation that dont have the slope -5/3. We are left with the third option.
Answer:
[tex]y = - \frac{5}{3}x - 1 [/tex]
Step-by-step explanation:
[tex]since \: both \: lines \: have \: te \: same \: slope : \\ then \: the \: equation \: of \: a \: line : slope \: intercept \\ \: is \: given \: by : \\ y - y_{1} = m(x - x_{1}) \\ but \: the \: slope, \: m \: = - \frac{5}{3} \\ y - 4 = - \frac{5}{3}(x - ( - 3)) \\ y - 4 = - \frac{5}{3}x - 5 \\ y = - \frac{5}{3}x - 1 [/tex]
If VZ=p–7 and WY=p–21, what is the value of p?
Answers
Answer:
35
Step-by-step explanation:
By the triangle midsegment theorem, 2(WY)=VZ.
So, 2(p-21)=p-7, meaning p=35
Find the difference between the polynomials:
–3x+x^3–2x^2 and 4x^3–2x^2–4x
Answers
x-3x^3
Step-by-step explanation:
just pretend they are in parentheses and open them
Mark Lomonaco And deven Hughes pushes twenty five new tables for $29.95 each. they received a 15% discount off the total gross amount of the tables because they purchased more than five tables. Sales tax in their country is 8.75 %
Answers
Answer:
4.58
Step-by-step explanation:
$29.95(15%) = 4.4925+8.75% = 4.4925+0.0875 = 4.58
Triangle XY Z is similar to triangle ABC.
Solve for k.
ka
X
4.5
4
z
Y
3
B
12
Answers
Answer:
13.5
Step-by-step explanation:
12/4=3
9/3=3
4.5x3=13.5
Answer:
13.5=k
Step-by-step explanation:
When 2 triangles are similar the ratio of their corresponding sides are equal.
[tex]\frac{XY}{YZ}=\frac{AB}{BC}\\\\[/tex]
Plug in the values given:
[tex]\frac{4.5}{3} =\frac{k}{9}[/tex]
Cross Multiply
40.5=3k
Divide to isolate k
13.5=k
If you were to randomly survey 10 people at 100 random eyeglasses stores across the country, would this be a random sample?
Answers
Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S − 1.9 x = 4.9 gives the amount of sales ( S ) of statin in billions of dollars x years after 1998. According to this equation, how much will/did people in the U.S. Spend on statins in the year 2005? Answer: People in the U.S. Will spend billion dollars on statins in 2005.
Answers
Answer:
People in the U.S. Will spend 18.2 billion dollars on statins in 2005.
Step-by-step explanation:
Given:
S − 1.9x = 4.9
Where,
S = sales of statin in billions of dollars
x = years after 1998
how much will/did people in the U.S. Spend on statins in the year 2005?
2005 is a year after 1998
Number of years = 2005 - 1998
= 7
x = 7 years
S − 1.9x = 4.9
S - 1.9(7) = 4.9
S - 13.3 = 4.9
Add 13.3 to both sides
S = 4.9 + 13.3
= 18.2
People in the U.S. Will spend 18.2 billion dollars on statins in 2005.
Helppppppol PLS NEED
Answers
Answer:
the answer should be B)1/2
Step-by-step explanation:
there are 4 spots to land on R and 8 spots in total so it is 4/8 and when you simplify it comes out as 1/2
Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The volume of the cylinder is ?
The volume of a cylinder with the same radius and double the height is ?
Answers
Answer:
Step-by-step explanation:
The volume of the original cylinder = pi * r^2 * h
Givens
r = 6 in
h = 3 in
pi = 3.14
Solution
V = pi * r^2 * h
V = 3.14 * 6^2* 3
V = 3.14 * 36 * 3
V = 339. 12
Part 2
If you double the height, you will double the volume
V = 3.14 * 36 * 6
V = 678.24
Match each number to its name.
a. 1,000,000
b. 0.01
c. 1,000,000,000
d. 0.000001
e. 0.001
f. 10,00
*One hundredth
*One thousandth
*One millionth
*Ten thousand
*One million
*One billion
Answers
b. one hundredth
c. one billion
d. one millionth
e. one thousandth
f. ten thousand
i hope that helps!:)
There are 3 feet in a yard. If a shoe measures to be 1 ft. What fraction of a
yard is that?
Answers
because a foot is a third of a yard and a yard is 3 feet.
1 out of 3 feet
or
1/3
Hope this helped :)
What is the equivalent fraction of 4/6
Answers
Answer:
6/9
Step-by-step explanation:
Sally works in a cell phone store. She is paid a weekly salary of $80 plus $5.25 for each cell phone she sells. Which equation can be used to find Sally's total weekly income?
F- y = 5.25x + 80
G- y = 80x +5.25
H- y = 85.25x
J- Not here
Answers
First, let's define some variables.
x = # of cell phones sold.
y = total weekly income.
y = $5.25x + $80
F is the correct answer choice.
Need help on this question ASAP PLEASE and thank you !
Answers
Answer:
Step-by-step explanation:
Raising both sides to the power of 10, we get [tex]x^{2}+x+14=10^{3x-5}[/tex]
find the area of the circle. use 3.14 for π. do not round answer
Answers
Radius = 14 : 2 = 7 in.
Area = 7 x 7 x 3.14 = 153.86 (in2)
Answer:
153.86 in²
Step-by-step explanation:
Before finding the area of the circle, first, let us find the radius.
d = 2r14 = 2r
Divide both sides by 2.
7 in = r
And now let us find the area of the circle.
Area = π r²= 3.14 × 7 × 7
= 21.98 × 7
= 153.86 in²
compare new france and the 13 colonies in the terms of population, government and economy
Answers
Answer:
5 or
Step-by-step explanation:
Solve: x2 − x − 6 x2 = x − 6 2x 2x 12 x after multiplying each side of the equation by the lcd and simplifying, the resulting equation is .
Answers
On factorization of the equation x² − x − 6 = 0. Then the values of x are −2 and 3.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The equation is given below.
x² − x − 6 = 0
On factorization, we have
x² − 3x + 2x − 6 = 0
x(x − 3) + 2(x − 3) = 0
(x − 3)(x + 2) = 0
x = −2, 3
The values of x are −2 and 3.
More about the factorization link is given below.
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Answer:
Step-by-step explanation:
-2 and 3
I need answered asap please! Explain what dilations and scale factors would be considered similarity transformations.
Answers
please help this is due by tomorrow!
Answers
Answer:
(A.) 1/9
Step-by-step explanation:
So there are 9 options to choose from and the question asked about 2 of them.
I took those 2 and multiplied them by 9 which gave me 18.
So I put 2 over 18 which can be simplified by 2.
So my final answer was 1/9.
[tex]2 * 9 = 18\\\\\frac{2}{18} = \frac{1}{9}[/tex]
pls help what's 34 squared
Answers
Answer:
1156
Step-by-step explanation:
34*34