Answer:f(x)=x2−6x−9 f ( x ) = x 2 - 6 x - 9. Replace f(x) f ( x ) with y y . y=x2−6x−9 y = x 2 - 6 x - 9. Interchange the variables. x=y2−6y−9 x = y 2 - 6 y - 9.
Step-by-step explanation:
The 8 students in Mrs. Allen's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered: 4, 12, 9, 6, 3, 15, 15, 6 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth.
Answer:
Mean: 8,75
Median: 7,5
Step-by-step explanation:
To find Mean
To find the mean data you have to put data all set in order:
3, 4, 6, 6, 9, 12, 15, 15
Then, all of the numbers in the data set added together and then divided by how many numbers in the data that already put in order:
3 + 4 + 6 + 6 + 9 + 12 + 15 + 15 = 70
There are 8 numbers in the data so divide 70 by 8:
70 ÷ 8 = 8,75
----
To find Median
The median is in the middle number of the data that already in order. Which is number 6 and 9.
Median = (6 + 9) ÷ 2
Median = 15 : 2
Median = 7,5
Find the approximate side length of a square game board with an area of 105in2.
Answer:
Approximately 10.2 inches
Step-by-step explanation:
The area of a square is given by the formula:
[tex]A=s^2[/tex]
Where A is the area and s is the side length.
Since we already know that the area A is 105, substitute:
[tex]105=s^2[/tex]
Now, take the square root of both sides:
[tex]s=\sqrt{105}[/tex]
Use a calculator:
[tex]s\approx10.2470[/tex]
So, the side length is approximately 10.2 inches.
A rectangle is a 6 2/3 feet long and 3 1/5 feet wide. About how many feet is the distance around the rectangle
Answer:
[tex]\frac{296}{15}[/tex] or [tex]19\frac{11}{15}[/tex]
Step-by-step explanation:
The distance around the rectangle is also known as the perimeter of the rectangle.
The formula for the perimeter of a rectangle is 2l+2w.
The width of this rectangle is 3 1/5 feet and the length of this rectangle is 6 2/3 feet, so plug into the perimeter formula:
P=2l+2w
=2(6 2/3)+2(3 1/5)
=2(20/3)+2(16/5)
=40/3+32/5
--(LCD is 15)
= 5/5(40/3)+3/3(32/5)
=200/15+96/15
=296/15 or 19 11/15 feet
The distance around the rectangle is about [tex]\frac{296}{15}[/tex] or [tex]19\frac{11}{15}[/tex].
Arrange the following terms into appropriate categories?
Please help me
Answer:
Real:
231/3cube root of -27sq root of 8cube root of 645.680%-3/70Imaginary:
sq root of -4-5i17i2/5iComplex:
-5.7 - 4i2/5 - 5/8i2 + 3i-1.5 + 17iStep-by-step explanation:
A real number is a number that exists in real life.
An imaginary number is a number that doesn't exist, hence it has the letter i in it.
A complex number consists of a real number and an imaginary number.
If you would like more help in math or other subjects for FREE, check out growthinyouth.org.
Mr Jones is 4 years older than his wife and 31 years older than his son. their ages add up to 82 years. if Mr Jones is x years old, find the value of x and the ages of his wife and son.
first person here gets the brainiest award thingy!
Answer:
39 Mr Jones
35 Mrs. Jones
8 Son
Step-by-step explanation:
x ----> Mr. Jones
x - 4 ----> His wife
x - 31 ---> His son
x + (x - 4) + (x - 31) = 82
3x - 35 = 82
3x = 82 + 35
3x = 117
x = 117/3
x = 39 Mr Jones
x - 4
39 - 4
35 Mrs. Jones
x - 31
39 - 31
8 Son
Every rational number is an integer. True or false?
Answer: FALSE
Step-by-step explanation:
False
All integers are rational number, but not all rational numbers are integer
Counter example: 2/3 is a rational number but it is not a integer
Look at the picture for more concept of integer and rational number
What’s a coefficient
Answer:
The number before a variable. For example, 4x. 4 would be the coefficient, and x would be the variable.
Answer:
A numerical or constant quantity placed before and multiplying the variable in a algebraic expression
HELLLPPPP!! D: PLEASE 10
Answer:
Laura wants to buy a coffee mug in a shop. She has x dollars, which isn't enough to pay for the coffee mug. As a solution, she asks her friend to help pay for the coffee mug. Her friend contributes 11 dollars in addition to Laura's x dollars, and luckily, her 11 dollars either add up to 23 or exceed it.
hello to whoever is reading this, I have a question. my scan and solve feature is no longer working and it says that I have connection issues. but I have 4 bars of mobile data and my wifi is fine. is there any way to fix this?
A die is thrown . find the probability of (1) a multiple of 2 or 3
Answer:
A die is thrown which means that it can land on either 1-6 on the die.So if you want to find the probability of the multiple of 2 or 3....we have multiplies of 2 in the die from 1-6 which is 2,4 and 6 if you count them they are just 3 numbers and since there is a probability of it to land on any of them it will be 3/6 which is 1/2 if yiu divide by 3 to it's lowest term....Then multiple of 3 is 3,and 6.which will be 2/6 which is 1/3 if u cut to its lowest term. Or in the question means addition sign in probability then it is 2 or 3 which is (1/2)+(1/3)=5/6.Thank you for the question
15. Is it possible for one ray to be shorter in length than another? Explain.
Answer: never because they are both infinite.
y = 4800(1.239)
growth or decay
Hello there! :D
Well, it is a general rule of thumb that growth is indicated by positive numbers, and decay is indicated by negative numbers. I would show decay in this exponential equation by making the percentage inside the parenthesis negative. It would look like this: y=4800(-1.239)
Obviously, this equation does not have a negative integer so we know it must constitue growth!
I hope this helped you and that you have a wonderful day,
Kai xx
11. An AC waveform has a peak voltage of 50 VAC. What's the
waveform's RMS voltage?
O A. 50.0 VAC
B. 35.4 VAC
C. 24.8 VAC
O D.52.8 VAC
Answer:
Option B - 35.4 VAC
Step-by-step explanation:
Formula for peak voltage is;
V_p = V_rms × √2
Making V_rms the formula, we have;
V_rms = (V_p)/√2
We are given:Peak voltage: V_p = 50 VAC
Where 50 VAC means 50 Volts AC power
Thus;
V_rms = 50/√2
V_rms ≈ 35.4 VAC
So option B is correct
AC = 64,
AB = 7x + 8, and
BC = 3x + 6,
Find BC.
Answer:
21
Step-by-step explanation:
AC = 64AB = 7x + 8 BC = 3x + 6Since AC = AB + BC
7x + 8 + 3x + 6 = 6410x + 14 = 6410x = 50x = 50/10x = 5------------------
BC = 3x + 6 = 3*5 + 6 = 21
what is the equation linethatis perpendicular to the given line and passes through the point (3,0)?
Answer:
3y+x = 3
Step-by-step explanation:
for the point ( 3,0)
x=3 , y= 0
the equation for the line is given as
y-y1= m(x-x1)
for perpendicular ,
m= -1/x
so
y-0 = -1/3(x-3)
3y= -x +3
3y+x=3
Answer: 5x - 3y = 15
Step-by-step explanation: was correct on edge test.
Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada. A. Did Jada drink more or less water than Elena? 1 point
Answer:
A. Jada drank less water than Elena
B. Lin drank more water than Elena
Step-by-step explanation:
Elena drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.
A. Did Jada drink more or less water than Elena?
B. Did Lin drink more or less water than Elena?
Elena drank 3 liters of water
Jada drank 3/4 times as much water as Elena.
Lin drank twice as much water as Jada
Elena = 3 liters
Jada = 3/4 × Elena
=3/4 × 3
=9/4 liters
=2 1/4 liters
=2.25 liters
Lin=2×Jada
=2×9/4
=18/4
=4 2/4
=4.5 liters
Did Jada drink more or less water than Elena?
A. Jada drank less water than Elena
Because 2.25 liters is less than 3 liters
B. Lin drank more water than Elena
4.5 liters is greater than 3 liters
Suppose you received $10 from your grandmother for your birthday. You spent $4 on snacks at the gas station on the way to school. a.What integer represents the amount of money your grandmother gave you for your birthday? b. What integer represents the amount of money you spent on snacks? c. Write a number sentence to represent the amount remaining after buying snacks? d. How much money do you now have after buying snacks?
An integer is a number.
A. Your grandmother gave you. $10, the integer is 10
B. You spent $4 on snacks, the integer is 4
C. Subtract the amount spent from the amount you had:
10-4 =
D. 10-4 = 6, you have $6 left.
A pair of shoes cost $120 but they are 25% Off;
What would be discount and the final price of those
shoes?
Answer:
Discount = $30, Final price = $90
Step-by-step explanation:
25% is one quarter. 120/4=30
One quarter of 120 is 30, so - 30 would give discounted price of $90.
Similarly you could think of it like the discounted price is 75% of the original one and do 120x0.75=90 to find 75% of 120.
Hope this helped!
i) 43x + 31y = 98
31x + 43y = 50
There are no solutions to the given system of equations.
Hope this helps.
A basketball player made 36 free throws in 16 games.find the ratio of free throws to games.
Answer:
36/16, 36:16, 36 to 16
Step-by-step explanation:
all above are correct
you can write ratios 3 different ways
3.2249030993 round to the nearest hundreth
Answer:
3.22
Step-by-step explanation:
I'm not the best at explaining things so theres the anwser at least.
Hope I helped.
SJ
Answer:
3.23
Step-by-step explanation:
9 is up to 5, so it's turned into 1 then take it to 4. It becomes 5, and it's up to 5, it's turned into 1 then take it to 2. It will become 3.
Spending a day observing a professional in his or her work
environment is called:
A. an internship
B. volunteering.
C. community service.
D. a job shadow.
Spending a day observing a professional in his or her work
environment is called a job shadow. Therefore, option D is the correct answer.
What is a job shadow?Job shadowing is a form of experiential learning in which a person observes a professional on the job in order to gain insight and knowledge about the specific position. Job shadowing allows the observer to gain a better understanding of the job and its responsibilities, as well as the role the job plays in the organization’s overall operations.
Job shadowing, work shadowing involves observing a professional to gain a better understanding of the role.
Therefore, option D is the correct answer.
Learn more about the job shadow here:
https://brainly.com/question/22943238.
#SPJ5
NEED HELP ASAP!!!!!!!!!!
Answer:
In order from smallest to largest:
g(x)=(1,-2)
now, f(x) and h(x) would reach the same height, so from left to right on the graph, if plotting all vertices:
h(x)=(-2,2)
f(x)=(4,2)
Step-by-step explanation:
f(x)
f(x)=-2(x-4)^2+2
This is the vertex form of a quadratic equation: The formula used is f(x)=a(x-h)^2+k, where (h,k) is the vertex. In this case, 4 is h and 2 is k, so the vertex of this equation is (4,2).
g(x)
g(x)=5x^2-10x+7
To find the vertex of a quadratic equation in standard form, you first have to find the x-coordinate of the vertex using the formula, -b/2a. In this equation, a=5 and b=-10, so plug into the formula: -(-10)/2(5)=10/10=1, so the x-coordinate of the vertex is 1. Now to find the y-coordinate of the vertex by plugging in the x-coodinate for x in the equation: 5(1)^2-10(1)+7=5(1)-10+7=5-10+7=-5+7=-2, so your y-coordinate is -2. Therefore, your vertex for this equation is (1,-2).
h(x)
So, this quadratic function is in the form of a graph. The vertex of the graph is the maximum of minimum value of the graph, depending on whether the graph is positive or negative. In this graph, it is the maximum point, which is (-2,2).
add -3.8 + 9.8 + 5.7
Answer:
- 0.3
Step-by-step explanation:
please help!
Write a story for this equation: $10 - $4.05 = c.
Jonathan is going to buy 500 straws for $4.05. He gave $10 to the clerk and received C dollars after buying the straws. find out the value of C. Include working out.
The function h(x) = 12x8 + 49 is an even function. Which transformation of h(x) would result in a function that is neither even nor odd? reflection over the x-axis vertical stretch by a factor of 7 translation 8 units to the right horizontal compression by a factor ofOne-half
Answer: translation 8 units to the right
Step-by-step explanation:
An even function is a function such that:
h(x) = h(-x)
and the function is odd if:
h(-x) = -h(x)
Now, let's talk about transformations:
A) Reflection over the x-axis:
When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:
(x, -y).
Then for the case of a function:
y = h(x).
then the reflection will be:
g(x) = - y = -h(x).
And if h(x) is even, -h(x) is also even, so this is not the correct option.
B) Vertical stretch by a factor of 7.
This is written as:
g(x) = 7*h(x).
then:
g(x) = 7*h(x)
g(-x) = 7*h(-x) = 7*h(x) = g(x)
the transformation is even.
C) Translation of 8 units to the right.
We can write this as:
g(x) = h(x - 8).
Then:
g(-x) = h(-x -8) = h(x + 8)
Then g(-x) is not equal to g(x)
and also g(-x) ≠ -g(x)
So in this case the transformation is neither odd or even.
C) horizontal compression by a factor of One-half.
This transformation is written as:
g(x) = h( (1/2)*x)
And, similar as the case of the vertical compression, in this case the transformation is also even.
Answer: C
Step-by-step explanation:
Translation 8 units to the right
( expressions and variables ) i have at least 5 dollars.
Answer:
Hey there!
Let x be the money you have.
Then, we can write x≥5, which shows that you have at least 5 dollars.
Hope this helps :)
Answer:
p-5 where p represents your pay
Step-by-step explanation:
How many solutions are there to the equation below?
x=27
A. 3
B. 2
C. O
D. 27
E. 1
F. 4
Answer:
2
Step-by-step explanation:
27*1=27
3*9=27
Simplify: 7-24÷8x4+6
The BODMAS rule is indeed an acronym used to recall the order of operations to be utilized while solving mathematical expressions, and the further calculation can be defined as follows:
Given:
[tex]\bold{ 7-24\div 8\times 4+6}[/tex]
To find:
Simplification=?
Solution:
Using BODMOS rule
[tex]\to \bold{ 7-24\div 8\times 4+6}\\\\\to \bold{ 7-\frac{24}{8}\times 4+6}\\\\\to \bold{ 7-3\times 4+6}\\\\\to \bold{ 7-12+6}\\\\\to \bold{ 7-18}\\\\\to \bold{ -11}\\\\[/tex]
Therefore, the final answer is "-11".
Learn more:
brainly.com/question/1661958
I need help. don't understand how to do this. can you explain how to solve and look for the answer? that will help
D) 0.(85)
Step-by-step explanation:85/99 = 0.(85)