Answer:
f(6) = 5f(a) = 15/(a -3)Step-by-step explanation:
You want to find f(6) and f(a) when f(x) = 15/(x -3).
SubstitutionTo evaluate a function, put the argument where the variable is and simplify as needed.
F(6)Put 6 where x is:
f(6) = 15/(6 -3) = 15/3
f(6) = 5
F(a)Put 'a' where x is:
f(a) = 15/(a -3) . . . . . . cannot be simplified
37. Multiple Choice
Which conditional and its converse are both true?
A If x= 1, then 2x 2.
B If x= 3, then x² = 6.
DIf x² = 4, then x = 2.
C If x = 2, then x² = 4.
Answer:
does ² mean ×2?
cuz if it does that maybe I can help
HELP WILL NAME BRAINLIEST
An airplane leaves Los Angeles and travels 5 hours to New York City. The return trip travels along the same route and takes 6 hours because the plane travels 99 mph slower due to a headwind. Find the distance the plane flies between the two cities.
Using the relation between velocity, distance and time, the distance of the plane ride between Los Angeles and New York is of 270 miles.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:
v = d/t.
For the Los Angeles to New York trip, we have that the time is of 5 hours, hence:
v = d/5.
v = 0.2d.
For the return trip, we have that the time is of 6 hours, while the velocity is 99 mph slower, hence:
v - 99 = d/6.
From the first equation, we have that:
v = 0.2d.
Replacing on the second:
0.2d - 99 = d/6.
d(0.2 + 1/6) = 99
0.3667d = 99
d = 99/0.3667
d = 270 miles.
The distance of the plane ride is of 270 miles.
More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
#SPJ1
f(x)=9 find the following values
2f(x) +3
Answer
this question is impossible no expert can solve this!11!1!!!
Step-by-step explanation:
none
If the actual book is 9 inches wide. How tall is the actual book?
The height of the book is 18 inches tall.
How to calculate the height?The width of an image of a book shown on a website = 1.5 inches
The length of the book shown on the website = 3 inches
The actual width of the book = 9 inches
Scale of the book image = 1 inches = 6 inches
The actual heigth of the book:
= 3 × 6
= 18 inches.
The actual book is 9 inches wide and 18 inches tall.
Learn more about height on:
https://brainly.com/question/11309724
#SPJ1
An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide
what number has 7 in tens and thousandths places,2 in the hundredths ,tenths and ones places , and 6 in the hundredths place?
The correct answer for the following question is [tex]672.227[/tex]
As per the question statement, we have to find a number that has 7 in tens and thousandths places, 2 in the hundredths, tenths and ones places and 6 in the hundreds place.
Before solving this question, we need to know about decimal place values and its operations.
Solving as per given statements,
7 in tens place, [tex]7*10=70[/tex]
7 in thousandths place, [tex]7*\frac{1}{1000} =0.007[/tex]
2 in hundredths place, [tex]2*\frac{1}{100} =0.02[/tex]
2 in tenths place, [tex]2*\frac{1}{10} =0.2[/tex]
2 in ones place, [tex]2*1=2[/tex]
6 in hundreds place, [tex]6*100=600[/tex]
Adding the above values and we will get 672.227
Decimal place values: Place value provides the information of the value of each digit in any given number. Like tenths or tens, hundredths, thousands etc.To learn more about Decimal place values, click on the link given below:
https://brainly.com/question/20563248
#SPJ9
HELP ME PLEASE I AM SO CONFUSED
Answer:
19,,
Step-by-step explanation:
The Difference of twice a number(n) and 7 is 9
The algebraic expression of the statement is 2n - 7 = 9
How to write as an expression?The mathematical statement is given as;
The Difference of twice a number(n) and 7 is 9
Twice a number n means 2n
So, we have
The Difference of 2n and 7 is 9
Difference means minus
So, we have
2n - 7 = 9
Hence, the algebraic expression of the statement is 2n - 7 = 9
Read more about algebraic expression at
https://brainly.com/question/723406
#SPJ1
cylinder a has a radius of 10 inches and a height of 5 inches. cylinder b has a volume of 750π. what is the percentage change in volume from cylinder a to cylinder b?
There is 50% increase in the change in the volume of cylinder A to A
The formula for the volume of the cylinder is given as
V = Πr^2h (1)
Where, r = radius of the cylinder
h = height of the cylinder
We have been given the radius and height of cylinder A which are,
r = 10 inches
h = 5 inches
Now putting the required values in equation (1) we get
V = Π(10)^2(5) cubic inches
V = Π*100*5 cubic inches
V = 500Π cubic inches
We have also been given the volume of cylinder B = 750Π
Thus percentage change in volume of cylinder = (750Π - 500Π)/500Π * 100
= 50%
Hence there is 50% increase in the change of the volume from cylinder A to B
Learn more about volume of cylinder here : https://brainly.com/question/9554871
#SPJ4
what reason proves that angle 2 is congruent to angle 6?
Answer:
they are the same angular size. If you put them on top of each other it would be the same.
Let f (x) = -4+1 Write a function g whose graph is a reflection in the y-axis of the graph of f.
If the function is reflected across the y-axis of the graph of f, the resulting function will be g(x) = 4x + 1
Translation of functionsTranslation is the technique that is used to change the position of a figure on an xy-plane.
For instance, if the function f(x) is reflected in the y-axis, the resulting function will be g(x) = f(-x)
Given the function f(x) = -4x+1 if the function is reflected in the y-axis of the graph of f.f, the resulting function will be;
g(x) = f(-x)
g(x) = -(-4x) + 1
g(x) =4x + 1
Learn more on translation here: https://brainly.com/question/12861087
#SPJ1
имеется 9 различных книг 4 из которых учебники. Сколькими способами можно расставить эти книги на полке так чтобы все учебники стояли рядом
Answer:
17280
Step-by-step explanation:
И для этих 4 книг, сложенных вместе, возможное расположение будет следующим: 4 х 3 х 2 х 1 = 24. Всего возможные способы расположения 9 книг будут: 720 х 24 = 17280.
The formula for simple interest is I=Prt. please help
a. Solve the formula for t.
t=
Answer:
I=Prt
I/Pr=Prt/Pr
t=I/Pr
190 students enrolled in a freshman-level chemistry class. by the end of the semester, 4 times the number of students passed as failed. find the number of students who passed, and the number of students who failed.
The number of students passed is 152 and who failed is 38.
This problem is from the chapter of linear equation in one variable.
right here, it's far for the reason that the overall quantity of college students enrolled in the chemistry class is =190
And additionally the whole variety of students who passed is 4 instances the quantity of college students failed.
allow the total range of students who failed is x.
So, the number of students who passed is 4x.
According to question,
4x + x=190
⇒5x=190
⇒x=[tex]\frac{190}{5}[/tex]
∴ x = 38
So, the number of students who failed is 38 and the number of students who passed is 152.
To learn more about linear equation visit the link:
https://brainly.com/question/11897796
#SPJ4
14 less twice the sum of m and 12 is at most 24.
Find all the solutions for m. Give all three
representations.
The solution to the given inequality are x ≤ 7, and (-∞, 7).
Inequality expressionsInequality expressions are expressions that are not separated by an equal sign.
For the statement "14 less twice the sum of m and 12 is at most 24", it is expressed as:
2(x+12)-14 ≤ 24
Simplify
2x + 24 - 14 ≤ 24
2x + 10 ≤ 24
2x ≤ 24 - 10
2x ≤ 14
Divide both sides by 2
x ≤ 14/2
x ≤ 7
Hence the solution to the given inequality are x ≤ 7, and (-∞, 7).
Learn more on inequality here: https://brainly.com/question/24372553
#SPJ1
The formula for the volume of a cylinder is
V
=
π
r
2
h
,
V=πr
2
h, where
r
r is the radius of the cylinder and
h
h is the height of the cylinder. Rewrite the formula to solve for
h
h in terms of
r
r and
V
.
V.
Greetings from Brasil...
V = πr²h - isolating h
h = V/πr²The graph of f(x) = x has been horizontally shrunk by a factor of 4. If no other transformations of the function have occurred, which point lies on the new graph?
(–1, –4)
(–4, –1)
(1, StartFraction one-fourth EndFraction )
(1, negative StartFraction one-fourth EndFraction )
Using translation concepts, the point that lies on the new graph is given by: (-1, -4).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The equivalent translation to an horizontal shrink by a factor of a a function f(x) is given by:
f(ax).
Hence, in this problem, for the horizontal shrink by a factor of 4, the function will be given by:
g(x) = f(4x) = 4x.
Then when x = -1, the output is given by:
g(-1) = 4(-1) = -4.
The point that lies on the new graph is given by: (-1, -4).
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
please look at picture this thing is due next day
Snail will have to travel shortest distance of (C) 11 cm
The shortest distance between vertex A and vertex B will be the line directly joining the two points. This line is called diagonal and is related with length, width and height by the formula -
Diagonal = ✓(l² + w² + h²), where l represents length, w represents width and h represents height. Keep the values in formula -
Diagonal = ✓(4² + 4² + 10²)
Taking square of the number
Diagonal = ✓(16 + 16 + 100)
Performing addition on Right Hand Side of the equation
Diagonal = ✓132
Taking square root
Diagonal = 11.49 cm
Therefore, the shortest distance needed to be travelled by snail is (C) 11 cm.
Learn more about diagonal of cuboid -
https://brainly.com/question/18839786
#SPJ9
A line passes through (1, 3) and (4, 7). Which line would be perpendicular to this line?
a) y=-x+5
b) y=-x-2
c) y= 4x + 2
d) y=-4x-4
Answer: Any line with slope of -3/4
Reason:
Let's calculate the slope of the line through those two points
[tex](x_1,y_1) = (1,3) \text{ and } (x_2,y_2) = (4,7)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{7 - 3}{4 - 1}\\\\m = \frac{4}{3}\\\\[/tex]
The slope of the line is 4/3
Anything perpendicular to this has a slope of -3/4. I flipped the fraction and flipped the sign (from positive to negative).
So for example, the answer may be something like [tex]y = -\frac{3}{4}x+5[/tex] or [tex]y = -\frac{3}{4}x-2[/tex]. All that matters is the -3/4 out front of the x.
Side note: the original slope 4/3 and perpendicular slope -3/4 multiply to -1
In the figure below, the measure of 21=3x°, the measure of 22=yº, and the measure of 23=87°. Find the value of each variable.
X=
2
3
(Type a whole number.)
(Type a whole number.)
D
I have 10 minutes til class is over
Answer:
21÷3=3×÷3
7=×
-x=-7
x=7
22=y
-y=-22
y=22
Rent controls are best illustrated by:
Answer:
E
Step-by-step explanation:
helpp this is due tomorrow and i don’t understand it
Answer:
Step-by-step explanation:
Not Sure
Area of PNQ + Area of LPQ = Area of LQM
Area of LQM = 8cm² + 16cm²
Area of LQM = 24cm²
The scale on the horizontal axis is 5 s per division and on the vertical axis 9 m per division. What is the time represented by the third tic mark on the horizontal axis? Answer in units of s.
Using proportions, it is found that:
The time represented by the third tic mark on the horizontal axis is of 15 seconds.The position represented by the fourth tic mark on the vertical axis is of 36 meters.The position at t = 15s is of 18 m.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
On the horizontal axis, each tic represents 5 seconds, hence:
3 x 5 = 15 seconds.
The time represented by the third tic mark on the horizontal axis is of 15 seconds.
On the vertical axis, each tic represents 9 meters, hence:
4 x 9 = 36 meters.
The position represented by the fourth tic mark on the vertical axis is of 36 meters.
When t = 3 x 5 = 15s, y = 2 x 9 = 18m, hence:
The position at t = 15s is of 18 m.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
How do you factor this equation
3n³+9n²-10n
Answer:
[tex]n(3n^2+9n-10)[/tex]
Step-by-step explanation:
Well you'll notice each of the components in the equation have a factor of "n". Each of them are being multiplied by at least one "n". This means we can factor out this "n" to get the following result: [tex]n(3n^2+9n-10)[/tex]
This is just the reverse of the distributive property: [tex](a+b)c=ac+bc[/tex] except you're going from ac + bc -> (a+b)c
a movie theater charges $4 for each child's ticket and $6.50 for each adult's ticket. one night, 200 tickets were sold, amounting to $1100 in ticket sales. how many of each type were sold?
A total of 200 tickets was sold whereas 120 tickets were for adult and 80 tickets for the child.
What do you mean by the unitary method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
As a result, multiplying by 2, the man travels 3.5 miles in one hour.
The distance the man walks in 7 hours, multiplied by 7, comes out to be 24.5 miles. Alternatively, you might divide the man's distance traveled by 7, or X, to get 7 (x/7). It equals the time needed to travel X miles, which is 2 hours (7/2), divided by the time needed to go X miles, which is 7 hours. X, therefore, equals 24.5 miles.
To learn more about the Unitary method, Visit:
https://brainly.com/question/24587372
#SPJ4
What’s the answer? And write the steps on how you go the answer.
Answer:
it's a very easy question.
let the unknown point be x,y.
Zombies lose limbs. Mutants grow limbs. Mutant-zombies do both. Today, a certain mutant-zombie grew 555 limbs, lost 121212 limbs, and grew another 222 limbs.
There are -5 limbs does the mutant zombie has compared to yesterday in linear equation.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Now,
Based on the given conditions, we formulate;
5 - 12 + 2
Calculate the sum or difference = - 7 + 2 = -5
We get the result = -5
Therefore, There are -5 limbs does the mutant zombie has compared to yesterday.
Learn more about linear equation
brainly.com/question/11897796
#SPJ9
Solve the equation for x.
2(x+5)+5=6x-4(-5+x)
Answer:
No solution.
Step-by-step explanation:
Simplify the equation.
2(x + 5) + 5 = 6x - 4(-5 + x) {Use distributive property}
2*x + 2*5 + 5 = 6x - 4*(-5) + (-4) * x
2x + 10 + 5 = 6x + 20 - 4x
2x + 10 + 5 = 6x - 4x + 20 {Combine like terms}
2x + 15 = 2x + 20
This equation has no solution.
ip a standard sheet of paper measures 8 1/2 by 11 inches. find the area of one such sheet of paper in
The area of the standard sheet of paper is 93 1/2 square inches.
The standard sheet of paper is a rectangle and to find its area, multiply the length by the width.
The area of the rectangle is the region enclosed by the perimeter of the rectangle and is equal to product of length and width.
If the standard sheet of paper has a length of 11 inches and a width of 8 1/2 inches, then:
A = l * w
A = 11 x 8 1/2
A = 93 1/2 square inches
Hence, the area of the standard sheet of paper is 93 1/2 square inches.
To learn more about area of rectangle: https://brainly.com/question/25292087
#SPJ4
tara measured a boarding school and made a scale drawing. she used the scale 1 centimeter : 2 meters. the actual length of a building at the school is 40 meters. how long is the building in the drawing?
The length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.
Let the length of the building in the drawing be x.
According to the given question.
Tara measured a boarding school and made a scale drawing. she used the scale 1 centimeter : 2 meters.
So, the given sclae is 1cm : 2m
Also, the actual length of the bulding at the school is 40 meters.
Since, we have to find the the length of the building in the drawing.
Now by the proportional formula we can say that
x : 40 = 1 : 2
⇒ 2x = 40
⇒ x = 20 cm
Hence, the length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.
Find out more information about scale here:
brainly.com/question/17403281
#SPJ4
Answer:
if your doing IXL than 20cm is correct
Step-by-step explanation:
One of the following statements is incorrect. identify! a 3/11 < 5/13 b 5/6 < 7/8 c 2/3 > 1/2 d 7/8 > 10/11
The incorrect option is d) 7/8 > 10/11.
a) 3 / 11 < 5/13
3/11 = 0.2727
5/13 = 0.3846
As it is given 3/11 < 5/13
hence a) 3 / 11 < 5/13 is correct.
b) 5/6 < 7/8
5/6 = 0.8333
7/8 = 0.875
As it is given 5/6 < 7/8
hence b) 5/6 < 7/8 is correct.
c) 2/3 > 1/2
2/3 = 0.6666
1/2 = 0.5000
As it is given 2/3 > 1/2
hence c) 2/3 > 1/2 is correct.
d) 7/8 > 10/11
7/8 = 0.8750
10/11 = 0.9090
As it is given 7/8 > 10/11
hence d) 7/8 > 10/11 is incorrect.
For more information on inequality click on the link below:
https://brainly.com/question/24372553
#SPJ4