Answers
Answer:
B. False
Step-by-step explanation:
We are given a graph of a function. Shown graph represents a function because there is only unique value of y for each unique value of x.
So, it would pass the vertical line test.
All the vertical lines on the graph would cross the graph at only single point (unique) point.
But if we draw the inverse function graph, each of (x,y) coordinate would switch to (y,x) and the graph would flip to right side.
And if we draw any vertical line on the graph, it could cut the graph at two or more points.
Therefore, it would not pass the vertical line test and it would not be a graph of a function.
The inverse of the function graphed below is not a function as it fails to pass the horizontal test. Hence, B. False is the right option.
What is a function?A function is a relation between a dependent and an independent variable, say y and x respectively, written as y = f(x). Any such relationship will be called a function if and only if, there is only one value of y corresponding to every x.
We check for a graphed relation to be a function using the vertical test.
When is the inverse of a function also a function?The inverse of a function, say y = f(x), is given as x = f⁻¹(y), is also a function when f⁻¹(y) passes the vertical test, or simply y = f(x) passes the horizontal test.
What are vertical and horizontal tests?Vertical test: In the test, vertical lines are taken parallel to the y-axis, and the number of the intersection of the given graph of the relation to this line is tested. If the intersections on every vertical line ≤ 1, then the given relation passes the test, and it is a function.Horizontal test: In the test, horizontal lines are taken parallel to the x-axis, and the number of the intersection of the given graph of the relation to this line is tested. If the intersections on every horizontal line ≤ 1, then the given relation passes the test, and its inverse is a function.How to solve the given question?In the question, we are asked to tell whether the inverse of the given function graphed is also a function or not.
To check if the inverse is a function, we perform the horizontal test.
The given graph fails to pass the horizontal test, as for almost every line, the graph intersects two times to the line.
For example, the horizontal line y = 5, the graph intersects at two points.
Thus, the inverse of the function graphed below is not a function as it fails to pass the horizontal test. Hence, B. False is the right option.
Learn more about functions and inverse of functions at
https://brainly.com/question/3831584
#SPJ2
Related Questions
Manuel is saving money for college. He already has $250. He plans to
save another $50 per month,
Regardless of how many months he saves, how much does he save each
month?
Answers
Step-by-step explanation:
That is $250-$50=$200
why because he plans to
save $50 per month and
he already has$250to begin
so that explains what i did
Suppose you roll a fair six-sided die 25 times. What is the probability that you roll 5 or more 6’s on that die?
A. 0.3883
B. 0.5937
C. 0.5
D. 0.4063
Answers
Answer:
D. P(5+ 6's) = 0.4063
Step-by-step explanation:
Binomial distribution.
For the distribution to be applicable, the experiment must
1. Have a know and constant number of trials
2. Probability of success of each trial remains constant (and known if available)
3. Each trial is a Bernoulli trial, i.e. with only two outcomes, success or failure.
4. Independence between trials.
Let
n = number of trials = 25
p = probability of success of each trial = 1 / 6
x = number of successes (0 ≤ x ≤ n) = 5
C(n,x) = number of combinations of picking x identical objects out of n
Applying binomial distribution
P(x,n) = probability of x successes in an experiment of n trials.
= C(n,x) * p^x * (1-p)^(n-x)
For n = 25 trials with probability of success (roll a 6) = 1/6
and x = 5,6,7,8,...25
It is easier to calculate the complement by
P(5+ 6's) = 1 - P(<5 6's)
= 1 - ( P(0,25) + P(1,25) + P(2,25) + P(3,25) + P(4,25) )
1- (
P(0,25) = C(25,0) * (1/6)^0 * (5/6)^25 = 0.0104825960103961
P(1,25) = C(25,1) * (1/6)^1 * (5/6)^24 = 0.05241298005198051
P(2,25) = C(25,2) * (1/6)^2 * (5/6)^23 = 0.1257911521247532
P(3,25) = C(25,3) * (1/6)^3 * (5/6)^22 = 0.1928797665912883
P(4,25) = C(25,4) * (1/6)^4 * (5/6)^21 = 0.2121677432504171
)
= 1 - 0.59373
= 0.40626
= 0.4063 (to 4th decimal place)
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
A box of 15 cookies cost nine dollars what is the cost of one cookie
Answers
Answer:
$1.67
Step-by-step explanation:
Divide 15 by 9 to find the price of one cookie:
15/9 = 1.67
= approximately $1.67
I don’t understand how to solve this. Please help!
Answers
Answer:
GH = 16; CH = 12
Step-by-step explanation:
First of all, you need to understand the meaning of "perpendicular bisector." It means that GH is divided into two equal parts by line AC, and that AC makes a right angle to GH.
The right angle is marked.
(a) The length of one of the halves of GH is marked as being 8 units long, so the other half will also be 8 units long. Of course, the length of GH is the sum of its two halves:
GH = GB +BH = 8 + 8
GH = 16
__
(b) Triangles CBG and CBH share side CB, so have that length in common. They have equal lengths BG and BH because BC bisects GH. They have a right-angle at B in common, so can be considered congruent by SAS, the fact that two congruent sides have a congruent angle between them.
Since triangles CBG and CBH are congruent, their corresponding sides CG and CH are also congruent. Side CG is marked 12 units long, so CH will be 12 units long, also.
CH = 12
You could shortcut all of the congruent triangle logic by recognizing that an altitude (CB) is a perpendicular bisector of the base (GH) if and only if the triangle is isosceles. The sides of an isosceles triangle are always congruent, so CG = CH = 12.
__
In part (c), you're supposed to choose possible theorems for demonstrating the congruence of the triangles we described above.
The graph of f(x)=sin(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 4 and shifting it 3 units down. What is the equation of the new function g(x) ?
Answers
Answer:
f(x) = 4sin(x) - 3
Step-by-step explanation:
What is the slope of the line? x + 3 y = 10 x+3y=10x, plus, 3, y, equals, 10 Choose 1 answer: Choose 1 answer: (Choice A) A 1 3 3 1 start fraction, 1, divided by, 3, end fraction (Choice B) B 1 10 10 1 start fraction, 1, divided by, 10, end fraction (Choice C) C − 1 10 − 10 1 minus, start fraction, 1, divided by, 10, end fraction (Choice D) D − 1 3 − 3 1
Answers
Answer:
-1/3Step-by-step explanation:
The standard from of equation of a line written in slope-intercept format is expressed as y = mx+c where c is the slope of the line and c is the y-intercept.
Given the equation of the line x+3y = 10, to get the slope of the line, we need write he equation in standard from first by making y the subject of the formula as shown;
[tex]x+3y = 10\\\\subtract\ x \ from \ both \ sides\\\\x+3y-x = 10 -x\\\\3y = -x+10\\\\Divide \ through\ by \ 3\\\\\frac{3y}{3} = -\frac{x}{3} +\frac{10}{3} \\\\[/tex]
[tex]y = -\frac{1}{3}(x) +\frac{10}{3} \\[/tex]
Comparing the resulting equation with y = mx+c, the slope 'm' of the equation is -1/3
The slope of the line is -1/3.
the correct option is D.
To find the slope of the line given by the equation x + 3y = 10, we need to rewrite it in slope-intercept form, which is y = mx + b, where m represents the slope.
Let's rearrange the equation to solve for y:
x + 3y = 10
3y = -x + 10
y = (-1/3)x + 10/3
Comparing this equation to the slope-intercept form, we can see that the coefficient of x (-1/3) represents the slope.
Therefore, the slope of the line is -1/3.
Learn more about Slope here:
https://brainly.com/question/17158875
#SPJ6
Which inequality represents the following situation ; times 5 less than a number is no more than 272
0
A 3(x - 5) = 27
B. {x-5527
C 3 (5 – ) 2 27
D.(x - 5) 27
Answers
Answer:
A.
Step-by-step explanation:
from what the question states im assuming it was 3 times 5 less than a number is no more than 272.
if we look at a it fits it perfectly.
3 times 5 less than a number is no more than 272 =
3(x-5) = 272.
Hope it helps <3
Which of the following can be used to express the total area of a figure?
A. (5)(4x)(3x)
B. 12x^2 + 15x
C. (3x + 4x) (5)
D. 3x (4x + 5)
Answers
Answer:
The answer is option BStep-by-step explanation:
The figure above is a rectangle
Area of a rectangle = length × width
From the question
The total length of the rectangle = 3x
The total width of the rectangle = 4x + 5
So the area of the figure is
A = 3x( 4x + 5)
Expand
We have the final answer as
A = 12x² + 15xHope this helps you
which of the following equations correctly represents a circle centered at the origin with a radius of 5
Answers
Answer:
x² + y² = 25
Step-by-step explanation:
The standard form of a circle is (x - h)² + (y - k)² = r² where (h, k) is the center point and r is the radius. In this case, the center is the origin which has coordinates of (0, 0) so h = 0 and k = 0. We know that the radius is 5 so r = 5. Therefore, after plugging in the values of h, k, and r, we get that the answer is x² + y² = 25.
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
Answers
Answer:
[tex] 9.3 + b = 14.5 [/tex]
Step-by-step explanation:
Longest side of ∆ = 2a = 6.2 cm
If the shortest side is, a, and we are told that the longest side is twice the shortest side, therefore, length of shortest side is
The sum of the 3 sides = perimeter = 14.5 cm
Thus,
[tex] a + 2a + b = 14.5 cm [/tex]
Plug in the values of a and b
[tex] 3.1 + 6.2 + b = 14.5 [/tex]
The equation that can be used to find the side lengths is [tex] 9.3 + b = 14.5 [/tex]
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
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
A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years
Answers
Answer:
$6488.19
Step-by-step explanation:
To solve this problem we use the compounded interest formula:
[tex]amount = principal(1 + (r \n))^({n}{t})[/tex]
a = $2600(1+(0.0675/1))¹*¹⁴
a = $6488.19
Find the product of all real values of $r$ for which $\frac{1}{2x}=\frac{r-x}{7}$ has exactly one real solution.
Answers
Answer:
-14
Step-by-step explanation:
Observe first that $x=0$ is not a solution to the equation since it makes the denominator of $\frac{1}{2x}$ equal to 0. For $x\neq 0$, we may multiply both sides by both denominators and move all the resulting terms to the left-hand side to get $2x^2-2rx+7=0$. Observe that there are two ways the original equation could have exactly one solution. Either $2x^2-2rx+7=0$ has two solutions and one of them is 0, or else $2x^2-2rx+7=0$ has exactly one nonzero solution. By trying $x=0$, we rule out the first possibility.
Considering the expression $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ for the solutions of $ax^2+bx+c=0$, we find that there is exactly one solution if and only if the discriminant $b^2-4ac$ is zero. Setting $(-2r)^2-4(2)(7)$ equal to 0 gives $4r^2-4(14) = 0$. Add 4(14) and divide by 4 to find $r^2=14$. The two solutions of this equation are $\sqrt{14}$ and $-\sqrt{14}$, and their product is $\boxed{-14}$.
The value of r from the given equation is r=(2x²+7)/2x.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is [tex]\frac{1}{2x}=\frac{r-x}{7}[/tex].
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
By cross multiplication, we get
7=2x(r-x)
7=2rx-2x²
2rx=7+2x²
r=(2x²+7)/2x
Therefore, the value of r from the given equation is r=(2x²+7)/2x.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Evaluate 2^2⋅4^3=
Your answer
Answers
Answer:
256
Step-by-step explanation:
First, handle the exponent:
2²=4 (2*2=4) and 4³=64 (4*4=16*4=64)
Now multiply those two outcomes:
4*64=256
This equation is also known as 4⁴
Please answer this question now
Answers
Answer:
54 degrees
Step-by-step explanation:
Measure of arc DCB is 125*2 = 250.
So, measure of arc BAD is 360-250 = 110.
So, measure of arc AD is 110 - 56 = 54 degrees
A file that is 276 megabytes is being dowloaded . If the downloaded is 16.7% complete how many megabytes have been dowloaded? Round ur answer to the nearest tenth ( can ya please hurry and answer thank you)
Answers
276 x .167 = 46.092
Answer: 46.1 megabytes
Step-by-step explanation:
an inch worm is how long in general
Answers
Answer:
A inch
Step-by-step explanation:
It takes Matt 3 minutes to read one page in a book. If he continues to read at the same pace, he can read 15 similar pages in minutes. If the book has 300 pages, it will take him minutes to read it.
Answers
Answer:
a)45min
b)900min
Step-by-step explanation:
We were told that it takes Matt 3 minutes to read one page in a book.
It implies that 3minutes = 1page of the book
Then he continues to read at the same pace, he can read 15 similar pages in minutes.
a)Then, he can read 15 similar pages in
15x3 minutes.which is 45minutes.
b)Then if the book has 300 pages, it will take him. 300×3 minutes to read it.which is 900mins
Answer: has anyone seen my dad?
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
0.0000458 as scientific notation
Answers
Answer:
4.58 * 10 ^ -5
Step-by-step explanation:
0.0000458
Move the decimal 5 places to the right to get a number between 1 and less than 10
00004.58
That will give us an exponent of -5 ( the negative is because we moved it to the right)
4.58 * 10 ^ -5
━━━━━━━☆☆━━━━━━━
▹ Answer
4.58 * 10⁻⁵
▹ Step-by-Step Explanation
The decimal point is moved 5 times to the left, meaning the scientific notation will be negative. Therefore, the answer is 4.58 * 10⁻⁵.
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
PLEASE ANSWER QUICKLY ASAP
Answers
Answer:
67°
Step-by-step explanation:
● cos<PQR = adjacent/hypotenus
● cos<PQR = 5/13
● cos< PQR = 0.384
Using a calculator:
● cos^-1(0.384) = 67°
● <PQR = 67°
Pls answer this urgently
Answers
Answer:
The pic there has a step by step explanation
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\frac{(3^-2)^2 * (5^2)^-3 * ( t ^-3)^2 }{( 3^-2) ^5 ( 5^3) ^-2 ( t ^-4)^3}[/tex]
[tex]= \frac{\frac{1}{1265625^t12} }{1}[/tex]
[tex]= \frac{\frac{1}{992640625^t6} }{1}[/tex]
[tex]= \frac{992640625^t6}{1265625}[/tex]
[tex]= \frac{922640625tttttt}{1265625}[/tex]
[tex]= 729t^6[/tex]
Answer : [tex]729t^6[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
❀*May*❀
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
it’s a 425 mile drive from San Jose to Los Angeles.
it’s about 320 mile Drive from San Jose to Santa Barbara.
write an equation showing that the distance traveled on the first day plus the distance traveled on the second is equal to 425 miles
Answers
Answer:
The answer is below
Step-by-step explanation:
The distance traveled the first day = Distance from San Jose to Santa Barbara = 320 mile.
The distance traveled the second day = Distance from Santa Barbara to Los Angeles.
But From San Jose to Los Angeles = 425 mile. Therefore:
Distance From San Jose to Los Angeles = Distance from San Jose to Santa Barbara + Distance from Santa Barbara to Los Angeles
425 = 320 + Distance from Santa Barbara to Los Angeles.
Distance from Santa Barbara to Los Angeles = 425 - 320 = 105 mile
The distance traveled the second day = Distance from Santa Barbara to Los Angeles = 105 miles
The distance traveled the first day + The distance traveled the second day = Distance from San Jose to Santa Barbara + Distance from Santa Barbara to Los Angeles = 320 + 105 = 425 miles
The distance traveled the first day + The distance traveled the second day = 425 miles
What is the real part of 4 - 5i
Answers
Answer:
5i is an imaginary number
In these questions it contains two parts
real and imaginary parts . thus answer to these questions is 5i
Explanation
Complex Number is the number which contains both real and imaginary numbers i is the specified elements. 5i is an imaginary parts number and 4 is real part number.
Thus we conclude that above statement for the question is correct.
To know more about the complex number
https://brainly.com/question/20566728
Find the value of x. Round to the nearest degree.
60
33
57
29
Answers
Answer:
33
Step-by-step explanation:
that is pretty close to a 45 degree angle so i would say about 33
Answer:
33
Step-by-step explanation:
First find the missing side...
11^2 + a^2 = 20^2
121 + a^2 = 400
400 - 121 = a^2
a^2 = 279
a = 16.7
A = 16.7, B = 11, C = 20
20 - 16.7 = 3.3
Estimate
3 x 11 = 33
The expansion of (1 + 4x)5 is
Answers
Answer:
5+20x
Step-by-step explanation:
multiply 5 to 1 and 4x respectively
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
