Answer:
Firstly
f(x)=3x-2=y then
Interchanging x and y we get
x=3y-2
x+2=3y
y=(x+2)/3
f-1(x)=(x+2)/3
f-1(13)=(13+2)/3
f-1(13)=5
A function is defined as a relation between a set of inputs having one output each.
The inverse of function f(x) = 3x - 2 is:
y = (x+2)/3
What is a function?A function is defined as a relation between a set of inputs having one output each.
The inputs are called the domain of the function.
The outputs are called the range of the function.
We have,
f(x) = 3x - 2
The inverse of f(x):
step 1:
Put f(x) = y
y = 3x - 2
step 2:
switch x and y
x = 3y - 2
step 3:
solve for y
x = 3y - 2
x + 2 = 3y
y = (x+2)/3
Thus,
The inverse of f(x) = 3x - 2 is y = (x+2)/3
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Given a population mean of 53.7 with a standard deviation of 1.3 and a sample size
of 6, answer these questions:
Part A: What is the standard deviation of the sampling distribution of X? Show your
work. (5 points)
Part B: What does the sample size need to be if you want the standard deviation of
the sampling distribution of x to be 0.325? Show your work. (5 points) (10 points)
Answer: A. 0.4899 B. 14
Step-by-step explanation:
If X = random variable
then, the standard deviation of the sampling distribution of X = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]
A.
GIven: [tex]\sigma= 1.2, \n= 6[/tex]
The standard deviation of the sampling distribution of X = [tex]\dfrac{1.2}{\sqrt{6}}=0.4899[/tex]
B. Let n be the sample size,
[tex]0.325=\dfrac{1.2}{\sqrt{n}}\\\\\Rightarrow\ \sqrt{n}=\dfrac{1.2}{0.325}\\\\\Rightarrow\ \sqrt{n}=3.69230769231\\\\\Rightarrow\ n= (3.69230769231)^2=13.6331360947\approx 14[/tex]
Hence, the required sample size = 14
please help me before i fail!!! Solve for X
7^7/7^3 = 7^x
Answer: x = 4
Step-by-step explanation:
First, we must divide the two, its in a fraction, and as you should know, when we divide exponents, you subtract the exponent on the numerator by the exponent on the denominator. So in this case we are doing 7 - 3 which is equal to 5.
[tex]7^5 = 7^x[/tex]
[tex]7^5 = 7^5[/tex]
Then we still need to subtract [tex]7^1[/tex] from [tex]7^5[/tex].
So our answer is [tex]7^4[/tex]
Answer: x = 4
what is the equation of a line that passes throught the points (-4, 2) and (-8, -3)
Answer:
y=5/4x+9/2
Step-by-step explanation:
Slope: 2+3/-4+8
=5/4
y-2=5/4(x+2)
y-2=5/4x+5/2 <------because 5/4*2=10/4
y=5/4x+9/2
Mrs. Honeycutt has 20 students in her class and 6 of the student are members of the math club what is the ratio of the students who are not in the math club to the total number of students in Mrs. Honeycutt class?
Answer:
20-6=14 students not in math club
14:20
if it wants you to simplify it then: 7:10
Step-by-step explanation:
I hope this helps :)
Julio says,"If you subtract 15 from my number and multiply the difference by -7,the result is -175." What is Julios number
Answer: 40
Step-by-step explanation:
Assume Julio's number is x.
The expression would be:
-7 * (x - 15) = -175
x - 15 = -175/-7
x = -175/-7 + 15
x = 40
Hinata is an atlethe.She swims every 6 days and runs every 4 days. If she does two activities today, how many days will she do the two activities again the same day, what is the LCM AND GCF
Answer:
87
Step-by-step explanation:
Find the missing angle
Answer:
80
Step-by-step explanation:
180-80-20=80
if the shaded area is 16 cm ^ 2 , then the length in the figure is?
Answer:
If the shaded area is 16 cm^2, then the length in the figure is
[tex] \sqrt{16} = 4 \: cm[/tex]
4 cm is the right answer.Help pls 6th grade math i will give brainliest
Answer:
b
Step-by-step explanation:
A company that offers tubing trips down a river rents tubes for a person to use and "cooler" tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Use $x$ to represent the number of one-person tubes rented and $y$ to represent the number of cooler tubes rented. How many of each type of tube does the group rent?
Answer:
the group rents is 11 person tubes and there is 4 cooler tubes
Step-by-step explanation:
The computation is shown below:
The equation are as follows:
x + y = 15
y = 15 - x
And, the cost of person tube is $20
The cost of the cooler tube is $12.50
The total spending is $270
Now the equation is
20x + 12.50y = 270
Now put the value of y in the above equation
20x + 12.50(15 - x) = 270
20x + 187.50 - 12.50x = 270
20x - 12.50x + 187.50 = 270
7.50x + 187.50 = 270
7.50x = 270 - 187.50
7.50x = 82.50
x= 11
Now put the value of y in any of the equation
y = 15 - 11
= 4
So, the group rents is 11 person tubes and there is 4 cooler tubes
Two car services offer to pick you up and take you to your destination. Service A charges 40 cents to pick you up and 30 cents for each mile of your trip. Service B charges $1.10 to pick you up and charges c cents for each mile.
A) Match the services to the lines l and m
B) For service B, is the additional charge per mile greater or less than 30 cents per mile of the trip? Explain your reasoning
Answer/Step-by-step explanation:
a.) Service A charges of 40 cents to pick you up is the initial value (y-intercept). Form the graph, the line that has a y-intercept of approximately 40 cents is line m.
Also, the initial value of line l is $1.10 from the graph, which is the pick up cost that Service B charges. Therefore,
Line m = Service A
Line l = Service B
b.) The additional charge of service B = the slope of line l. Let's calculate the slope to see if it's greater than or less than 30 cents per mile of the trip.
Using two points on line l, (0, 1.10) and (7, 2.5)
Slope = change in y/change in x = (2.5 - 1.10)/(7 - 0)
= 1.4/7 = 0.2
Additional charge per mile for service B is $0.2 = 20 cents.
Therefore we can conclude that the additional charge per mile for service B is less than 30 cents/mile of the trip.
Select the better deal in the pair. Then give the unit rate for the better deal.
$210/7g or $264/8g
What is 8grams as a fraction of 4kg (but as a simplified fraction)
Answer:
1/500
Step-by-step explanation:
4kg = 4000 grams
8 / 4000 simplifies to 1/500
Step-by-step explanation:
What is 8grams as a fraction of 4kg (but as a simplified
HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE
Answer:
I think its C
Step-by-step explanation:
I guessed
Triangle a'b'c' is result of dilating abc about point a by a scale factor of 2/3. Determine whether each claim about the properties of abc and a'b'c' is true or false
Answer:
True , because all properties preserved under dilation from triangle abc to a'b'c'.
Step-by-step explanation:
Given : A triangle abc is dilated by a factor of 2/3 , result triangle a'b'c'
To find :After dilation, properties of triangle abc and a'b'c' is true or false.
Solution:
Dilation of a triangle are result either decrease or increase the corresponding length of triangle , its depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of triangle.here scale factor is 2/3 so corresponding sides of triangle a'b'c' decreases.
So, dilation of triangle are not congruent but similar to the original triangle abc
Therefore , basic properties of triangle preserved under dilation of triangle by a scale factor.
Answer:
true
Step-by-step explanation:
First to answer gets brainliest
Answer:
y = 4x - 9
Step-by-step explanation:
Take 2 points:
(0,-9) and (4,7)
Find the slope:
(7 - (-9))/(4 - 0)
16/4 = 4
so we have y = 4x + b
Now find b:
Insert a point for y and x:
7 = 4(4) + b
7 = 16 + b
b = -9
y = 4x - 9
Fifty people who watch television were recently polled as to
which type of program they preferred. The results are shown in
the table.
What percent of those surveyed preferred to watch new programs?
Answer:
A) 10%
Step-by-step explanation:
take the number who like to watch news and divide by 50 (total number)
5/50 = 0.1
multiply by 100 to get percent
.1 x 100 = 10
10%
The Boyle family drove at an average speed of 60 miles per hour. They drove for 4 hours. How far did the Boyle family drive?
Answer:
240 miles?
Step-by-step explanation:
(5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all
the statements that must be true about the graph of f.
a.
The y-intercept of the graph is at (0,c).
b.
The graph has an x-intercept at (c,0).
C.
When a < 0 the graph is open downward.
d.
The graph has two x-intercepts.
e.
If b = 0, then the vertex is on the y-axis.
Answers:
a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.If the value of a is less than zero then the parabola is open downward. Then the correct option is C.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0.
a. The y-intercept of the graph is at (0,c). This is incorrect.
b. The graph has an x-intercept at (c,0). This is incorrect.
c. When a < 0 the graph is open downward. This is correct.
d. The graph has two x-intercepts. This is incorrect.
e. If b = 0, then the vertex is on the y-axis. This is incorrect.
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A quadrilateral has no right angles, and two pair of congruent, parallel sides. What is the figure
Answer:
rhombus, or a parallelogram
Step-by-step explanation:
Can someone help me solve this for extra credit in school--- please?
Answer:
y = - 3x + 2
Step-by-step explanation:
y = - 3x + 5
Slopes of parallel lines are equal
( - 1, 5)
y - 5 = - 3(x + 1)
y = - 3x + 2
Write the coordinates of the vertices after a dilation with a scale factor of 1/5, centered at the origin.
Answer:
The coordinates of the vertices after the dilation by a scale factor 1/5 centered at the origin will be:
U'(-1, -2)V'(0, -2)W'(-1, 2)Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged
If the scale factor is between 0 and 1, it gets shrunk
If the scale factor = 1, the object and the image are congruent
Rule to calculate the dilation by a scale factor 1/5 centered at the origin
P(x, y) → P'(1/5x, 1/5y)
Here, P'(1/5, 1/5y) is the image of P(x, y).
Given the vertices of the triangle UVW
U (-5, -10)
V (0, -10)
W (-5, 10)
so
Rule to calculate the dilation by a scale factor 1/5 centered at the origin
P(x, y) → P'(1/5x, 1/5y)
U (-5, -10) → U'(1/5(-5), 1/5(-10)) → U'(-1, -2)
V (0, -10) → V'(1/5(0), 1/5(-10)) → V'(0, -2)
W (-5, 10) → W'(1/5(-5), 1/5(10)) → W'(-1, 2)
Therefore, the coordinates of the vertices after the dilation by a scale factor 1/5 centered at the origin will be:
U'(-1, -2)V'(0, -2)W'(-1, 2)pedros check register showed a balance of $550.94. his bank statement listed 3 items that did not appear in his register: earned interest of $4.36, a service charge of $5.50, and an ATM withdrawal of $150. Reconcile pedro's check register.
Answer: $391.08 would be how much he really has in his register. I may be a little off though.
According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city. Predict how many of them prefer Colgate.
100 Points to the first person who answers! and the Brainliest
Answer:
According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city.
Let the number of dentists prefer Colgate in the city be x
[tex] \frac{4}{20} = \frac{x}{150} \\ x = \frac{4 \times 150}{20} \\ \boxed{x = 30}[/tex]
30 dentists prefer Colgate.Which of these two numbers is the largest?
4.12 or 4.21
What’s the answer?
Answer:
4.21
Step-by-step explanation:
12 is less than 21 therefore its bigger
The larger number is 4.21
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first number be = A
Let the second number be = B
Now , the value of A = 4.12
And , the value of B = 4.21
Now , we can clearly see the value of B is greater than A
So , the equation will be
Therefore , the value of B > A
And , 4.21 > 4.12
Hence ,The larger number is 4.21
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Find the fifth term in the sequence
that is defined as follows:
an = 3n - 5
Answer:
The fifth term of the sequence is: [tex]\mathbf{a_5=10}[/tex]
Step-by-step explanation:
We need to find the fifth term in the sequence that is defined as follows:
[tex]a_n = 3n - 5[/tex]
For finding the fifth term we have to put n=5 and solve the sequence
Putting n=5, and solving the sequence
[tex]a_n = 3n - 5\\Put\:n=5\\a_5=3(5)-5\\a_5=15-5\\a_5=10[/tex]
So, the fifth term of the sequence is: [tex]\mathbf{a_5=10}[/tex]
Drag the tiles to match the behavior of the graph of a function with the slope of its graph.
negative slope zero slope positive slope
Answer:
positive, negative, zero
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
The answer is x = 12.
Step-by-step explanation:
We can solve this using proportion.
[tex] \frac{x}{2} = \frac{66}{12 } \\ \\ \frac{132}{12} = \frac{12x}{12} \\ \\ x = 11[/tex]
Can someone please help me with this?
Answer:
the answer is c
Step-by-step explanation:
Pl help is for homwork
Answer:
Sabrina bought 3 pounds of bananas.
Step-by-step explanation:
Given equations are:
a + b = 8 Eqn 1
0.95a + 1.10b = 8.05 Eqn 2
As we have to find the number of pounds of bananas bought, we will eliminate the variable a from the equation.
Multiplying Eqn 1 by 0.95
0.95(a+b=8)
0.95a+0.95b=7.60 Eqn 3
Subtracting Eqn 3 from Eqn 2
(0.95a+1.10b)-(0.95a+0.95b)=8.05-7.60
0.95a+1.10b-0.95a-0.95b=0.45
0.15b = 0.45
Dividing both sides by 0.15
[tex]\frac{0.15b}{0.15}=\frac{0.45}{0.15}\\b = 3[/tex]
Hence,
Sabrina bought 3 pounds of bananas.