Answer:
5, 25
Step-by-step explanation:
Without graphing, what are the vertex , axis of symmetry, and transformations of the parent function? Y - |8x-3| - 3
Given:
Consider the given function is
[tex]y=|8x-3|-3[/tex]
To find:
The vertex , axis of symmetry, and transformations of the parent function?
Solution:
We have,
[tex]y=|8x-3|-3[/tex]
[tex]y=\left|8\left(x-\dfrac{3}{8}\right)\right|-3[/tex]
[tex]y=8\left|x-\dfrac{3}{8}\right|-3[/tex] ...(i)
It is an absolute function.
The vertex form of an absolute function is
[tex]y=a|x-h|+k[/tex] ...(ii)
where, a is a constant, (h,k) is vertex and x=h is axis of symmetry.
From (i) and (ii), we get
[tex]a=8,h=\dfrac{3}{8},k=-3[/tex]
So,
[tex]\text{Vertex}:(h,k)=\left(\dfrac{3}{8},-3\right)[/tex]
[tex]\text{Axis of symmetry}:x=\dfrac{3}{8}[/tex]
Parent function of an absolute function is
[tex]y=|x|[/tex]
Since, a=8 therefore, parent function vertically stretched by factor 8.
[tex]h=\dfrac{3}{8}>0[/tex], so the function shifts [tex]\dfrac{3}{8}[/tex] unit right.
k=-3<0, so the function shifts 3 units down.
Therefore, the vertex is [tex]\left(\dfrac{3}{8},-3\right)[/tex] and Axis of symmetry is [tex]x=\dfrac{3}{8}[/tex]. The parent function vertically stretched by factor 8, shifts [tex]\dfrac{3}{8}[/tex] unit right and 3 units down.
A cafeteria starts with 750 fish sticks for lunch. Each meal they serve uses 6 of the fish sticks, At the end of the lunch there are 42 fish sticks left. Let n be the number of meals served in the cafeteria. Set up and solve an equation to find the value of n.
Answer:
The value of N = 118
Step-by-step explanation:
750 = 6n + 42
move all the numbers that don't contain n to the right side
6n = 750 - 42
6n = 708
708 / 6 = 118
n = 118
plug the numbers back in
6 ( 118) = 708
708 = 708
plug the 42 back in
708 + 42 = 750
Write the word sentence as an inequality. Then solve the inequality.
A number x divided by 7 is less than −3.
An inequality is
.
The solution of this inequality is
.
Answer:
x/7<-3x<-21Step-by-step explanation:
x/7<-3x<-3x7x<-21Answer:
The inequality x÷7<-3
The solution x<-21
Step-by-step explanation:
Solving- x÷7<-3
x<-3x7
x<-21
I need help please
Answer:
The value of the expression when x = -1 and y = 2 is -16.
Step-by-step explanation:
Firstly, let's look at [tex]x^{3}[/tex].
As the question provides, the value of x is -1. Therefore, we have to find the value of [tex](-1)^{3}[/tex], which is -1.
Now, moving onto [tex]y^{2}[/tex].
The question provides us with y = 2. Simply substitute this value into [tex]y^{2}[/tex], and we get [tex]2^{2} = 4[/tex].
Finally, concluding the equation, we get 4(-1)(4). That is equal to -16, which is our answer.
Hope this helped!
Answer:
4×1×3×2×24×3×2×2
12×2×2
24×2
48 ans
PLEASE HELP! DUE SOON!!!!
Answer: yes
Step-by-step explanation:
i need serious help ASAP
Answer:
1. 1/2
2. 1/2 each month
3. 8 months
Step-by-step explanation:
Because its on the chart.
What is the solution to the equation? 4x - 8 = 16
need this at least by tomorrow!
thank you!
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
4x - 8 = 16
Step 2: Solve for x
Add 8 to both sides: 4x = 24Divide 4 on both sides: x = 6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4(6) - 8 = 16Multiply: 24 - 8 = 16Subtract: 16 = 16Here we see that 16 does indeed equal 16.
∴ x = 6 is the solution to the equation.
Answer:
x=6
Step-by-step explanation:
4x-8=6
4x-8=16+8
8
4x=24
4x=24
4 4
x=6
is (2,5) a solution to this system of equation
Y=2x+1
2x+2y=15
(2,5)_________________a solution because____________________________
A family paid $75 to rent a vacation house for a day plus $28 per person who were staying in the house. They paid $243 for a day in the house. How many people stayed there?
Answer:
6
Explanation:
simplify the complex fraction
Answer:
3.3333 (3 keeps repeating)
Step-by-step explanation:
Answer:
20/6 or 3 1/3
Step-by-step explanation:
4/3 / 2/5 can also be written as 4/3 x 5/2. That would equal 20/6, which when simplified equals 3 1/3
the present age of the father is twice HD old is the age of its own three years hence if two years hence the age of the father will be thrice as old as the age of this 11 years ago find your age before one before 5 years
HURRY I NEED HELP QUICKLY
-7 2/3 + (-5 1/2) + 8 3/4
Answer:
It would be -4 5/12 or -4.416
Factor completely
X4 + 8x2 + 16
A) (x2+4)
B) (x + 4)2
C)(x2 + 4)2
D)(x² + 16)2
Given that y varies directly with x, and y =10, when x=2. What is the value of x when y=7?
PLEASE HELPPPPP I NEED IT RIGHT THIS MINUTE PLEASEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
The answer is 3
Step-by-step explanation:
1/4(16 + 4)-2 = 3
Hope this helped ya
Answer:
1/4(16+4)-2
1/4(20)-2
5-2
3
Step-by-step explanation:
hey guys a have wut is 2xA(19x56)Ax12 thanks if u can help me
Answer:yes
Step-by-step explanation:Bc I am right and right
Question 3 please help?!!!!
Answer:
First choice, 21/50
Step-by-step explanation:
16 + 9 + 22 + 26 + 15 + 12 = 100
Out of 100 tries, 16 times landed on 1 and 26 times landed on 4, added together is 42 times it landed on either a 4 or 1 out of 100
42/100, simplify it with 2, 21/50
which table ordered pairs represents a linesr function (-7, 24) (0,2) (7,24) (14, 103)
(-7 -5) (0,1) (7,7) (14,13)
(-7,-5) (0,2) (7,9) (7,2)
(-7,-5) (0,2) (7,3) (14,6)
Answer:
which table ordered pairs represents a linesr function (-7, 24) (0,2) (7,24) (14, 103)
Step-by-step explanation:
Jenn pays $7.99 each month for her music streaming subscription, $10 per month for her Netflix subscription, and 9.99 per month for her xBox live subscription. How much money has she spent on these three subscriptions in the last 9 months?
The sum of the exterior and interior angles of a triangle is always 360°.
True or false.
Do Now percent
Clare subscribes to an online music streaming service
for a yearly fee of $96. Starting next month, there will
be a 12% Increase in the fee.
The ad for another music streaming service is shown
below. Should Clare switch? Explain.
Welcome te curate
DIGITAL STREAMING OF MUSIC
$8.75
per month
Answer:
HAPPY NEW YEAR PO!
Step-by-step explanation:
happy new year po!
PLEASE HELP!!!!!!!!!!!!!!!
Eric and Amy Jackson wish to invest in a no-risk savings account. They currently have $55,000 in an account that has a 4.125% annual interest rate, compounded continuously. They have the following options:
a. keep their money in the account they already have
b. invest the money in an account that has 5% annual interest, compounded annually
c. invest the money in an account that has 4.5% annual interest, compounded quarterly
d. invest the money in an account that has 3.875% annual interest, compounded monthly
Write a function for each option, that represents the amount of money in the account after t years after the account is opened.
a. C(t) keep their money in the account they already have
b. A(t) invest the money in an account that has 5% annual interest, compounded annually
c. Q(t) invest the money in an account that has 4.5% annual interest, compounded quarterly
d. M(t) invest the money in an account that has 3.875% annual interest, compounded monthly
Answer:
2400 is your answer hiycguvh
what is the product? 7⋅(−3)
A 21
B -21
C 4
D 10-
The correct answer:
b. -21
HELP
Please
Please
im failing
Answer:
6.9
7.-5
8.-10
Step-by-step explanation:
Isaiah gave $18 to his Friends. He gave 4 to Ricardo, $7 to Jeremiah, and the rest to Fabian. how much money did Fabian get?
Answer:
Fabian got $7.
Step-by-step explanation:
Isaiah gave $18 to his friends--Ricardo got $4, Jeremiah got $7, and Fabian got the rest. This needs a math equation!
4 + 7 + f = 18
where f is the amount of money Fabian got.
4 + 7 + f = 18
(subtract 4 from both sides)
7 + f = 14
(subtract 7 from both sides)
f = 7
It looks like Fabian got $7! Let's check just to make sure.
4 + 7 + f = 18
4 + 7 + (7) = 18
18 = 18
It checks out!
How can you verify trigonometric identities?
Answer:
Consequently, any trigonometric identity can be written in many ways. To verify the trigonometric identities, we usually start with the more complicated side of the equation and essentially rewrite the expression until it has been transformed into the same expression as the other side of the equation.
Step-by-step explanation:
Mr. Ortiz has 3/4 pound of oatmeal.
He uses 2/3 of the oatmeal to bake muffins.
How much oatmeal does Mr. Ortiz have left?
(With Explanation Pls)
Answer:
[tex]\frac{1}{4}\ pound[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Amount\ of\ oatmeal\ Mr.Ortiz\ has=\frac{3}{4}\ pounds \\Amount\ of\ Oatmeal\ he\ uses\ to\ bake\ muffins=\frac{2}{3}\ of\ the\ amount\ he\ had\\Now,\\Lets\ first\ find\ the\ amount\ of\ oatmeal\ he\ used=\frac{3}{4}*\frac{2}{3}=\frac{1}{2}\ pounds\\Hence,\\The\ amount\ of\ oatmeal\ remains=Total\ amount\ of\ oatmeal-Amount\\ he\ used\ to\ make\ muffins\\Hence,\\The\ amount\ of\ oatmeal\ left\ with\ Mr.\ Ortiz=\frac{3}{4} - \frac{1}{2} =\frac{1}{4}\ pound[/tex]
Holly earns $30 for babysitting 5 hours. She earns $28 when she does chores for 4 hours. Which compares the unit rates?
A. The unit rate for babysitting is $2 per hour more than the unit rate for doing chores
B. The unit rate for babysitting is $1 per hour more than the unit rate for doing chores
C. The unit rate for doing chores is $1 per hour more than the unit rate for babysitting
D. The unit rate for doing chores is $2 per hour more than the unit rate for babysitting
The function y = -3x + 42 models the average number of dogs at an animal shelter, where x is the number of days after July 1. The function y = 4x + 7 models the average number of cats at the animal shelter, where x is the number of days after July 1. After how many days is the average number of cats and dogs at the shelter the same?
A. 5 days
B. 7 days
C. 35 days
D. 49 days
Answer:
A. 5 days
Step-by-step explanation:
Average number of dogs at an animal shelter: y = -3x + 42
Average number of cats at the animal shelter: y = 4x + 7
Where,
x = number of days after July 1
After how many days is the average number of cats and dogs at the shelter the same?
Equate both functions
-3x + 42 = 4x + 7
-3x - 4x = 7 - 42
-7x = -35
Divide both sides by -7
x = -35 / -7
= 5
x = 5 days
The correct answer is A. 5 days
The diagram below shows the construction of an equilateral triangle Which statement justifies this construction?
Answer:
3)
Step-by-step explanation:
AB = AC = BC
In equilateral triangle, all the sides and angles are equal. Here the diagram is constructed using the sides.
Answer:
#3
Step-by-step explanation:I think number two because it is the direct line pattern of 3. If you look at the bend it would go AB,AC,BC.