This is algebra 2 (Parabola Transformation) . I have no clue on how to do this and I’m failing because of this missing assignment. Please help me. Please.
Answers
SOLUTION
Step 1 :
We are meant to graph the function,
[tex]\begin{gathered} y=-(x+2)^2\text{ + 7} \\ \text{compared with the parent function,} \\ y=x^2 \end{gathered}[/tex]Step 2 :
The Transformations are Reflection, Vertical Shift and Horizontal Shift.
Step 3 :
The vertex is at ( - 2, 7 ) and it is a maximum.
Related Questions
If point A, havingcoordinates (p, 3) andpoint B, with coordinates(6, p) lie on a line havinga slope of 2, what is thevalue of p?
Answers
Take into account that the slope of a line is given by the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where (x1,y1) and (x2,y2) are two points on the line.
In this case:
(x1,y1) = (p,3)
(x2,y2) = (6,p)
By replacing the previous values into the formula for m, we get:
[tex]m=\frac{p-3}{6-p}[/tex]Now, by making m = 2 and solving for p, we obtain:
[tex]\begin{gathered} \frac{p-3}{6-p}=2 \\ p-3=2(6-p) \\ p-3=12-2p \\ p+2p=12+3 \\ 3p=15 \\ p=\frac{15}{3}=5 \end{gathered}[/tex]Hence, the value of p is p = 5
a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 411 gram setting. based on a 19 bag sample where the mean is 437 grams and the varicance is 441, is there sufficent evidence at the 0.025 level that the bags are underfilled?
Answers
Using the Hypothesis testing and statistic Z- test we , find that the bag sample is not underfilled at a significance level of 0.025 i.e., 25% .
In the given question, we shall check the bag is underfilled at given level or not .
We can use the hypothesis testing, The Null and Alternative hypothesis are given as below :
H₀ : u = 411 : the bags are not underfilled
Hₜ : u < 411 : the bags are underfilled
Check it now using statistic Z-test and the test Statistic formula is given by
= ( M – u ) / S.D / √n , where M = mean of sample and S.D = standard deviations n is the number of bags used .
From given data we get, n= 19 ; M = 437 ; S.D = √ variance = √ 441 = 21
Including all of the above variables in formula
Z = (437-411)/21/√19
= 26/21/√19
= 5.395
This is right -tail test in statistic Z -test
P- value = 1 – 0.9999 = 0.111 ( by using Z-table or P-value for Z in Excel )
The sufficient evidence level is 0.025 i.e., alpha (α) = 0.025
P- value >α , this implies that Null hypothesis is not Rejected .
There is sufficient evidence to suggest that bag is not underfilled.
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step by step explanation 6 divided by 396 show work
Answers
The value of 6 divided by 396 is 0.1515.
What is division?Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The primary purpose of division is to determine how many equal groups are formed or how many people are in each group when equitably sharing.
The steps include:
Step 1: Take the first digit of the dividend from the left.
Step 2: Divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and then write the difference below.
Step 4: Bring down the next digit of the dividend.
In this case, 6/396 will give the value illustrated above.
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Can you help me pls this was very hard for me
Answers
Given:
The equation is,
[tex]\frac{24x^2+25x-47}{ax-2}=-8x-3-\frac{53}{ax-2}[/tex]Explanation:
Simplify the right hand side of equation.
[tex]\begin{gathered} -8x-3-\frac{53}{ax-2}=\frac{(-8x-3)(ax-2)-53}{ax-2} \\ =\frac{-8ax^2-3ax+16x+6-53}{ax-2} \\ =\frac{-8ax^2+(-3a+16)x-47}{ax-2} \end{gathered}[/tex]From left side and right side of equationn it can be observed that,
[tex]-8ax^2=24x^2\text{ and (-3a+16)x=}25x[/tex]Simplify the equation for a.
[tex]\begin{gathered} -8a=24 \\ a=\frac{24}{-8} \\ =-3 \end{gathered}[/tex]OR,
[tex]\begin{gathered} -3a+16=25 \\ -3a=25-16 \\ a=\frac{9}{-3} \\ =-3 \end{gathered}[/tex]So value of a is -3.
Option B is correct.
4/y+2 = 10/5y
solve for y
Answers
Answer:
y = - 1
Step-by-step explanation:
[tex]\frac{4}{y}[/tex] + 2 = [tex]\frac{10}{5y}[/tex]
multiply through by 5y to clear the fractions
20 + 10y = 10 ( subtract 20 from both sides )
10y = - 10 ( divide both sides by 10 )
y = - 1
4560=12 ÷ y
What is y equal to?
Answers
Answer:y=1/380
Step-by-step explanation:
if you are trying to do y divided by 12 it would be 4560x12
The area of a rectangle is 110 square units. Its length measures 11 units. Find the length of its diagonal. Round to the nearest tenth of a un
it
Answers
The length of the diagonal of the Triangle is 14.86 units
What is Diagonal?
When two polygonal vertices are not on the same edge, a diagonal is a line segment connecting them. Any sloping line is known as a diagonal informally.
Given,
Area of Rectangle = 110square units
Length = 11units
Breadth = ?
Area of Rectangle = length x breadth
Breadth = Area of Rectangle / length
Breadth = 110 / 11
Breadth = 10units
Length of diagonal (Pythagoras Theorem)
H^2 = P^2 + B^2
H^2 = (11)^2 + (10)^2
H^2 = 121 + 100
H^2 = 221
H = [tex]\sqrt{221}[/tex]
H = 14.86 units
Hence, The length of its diagonal is 14.86 units
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Is the commutative or associative property being shown in the problem below?
(3 x 5) x 8 = 3 x (5 x 8)
Answers
Associative Property
Answer:
Associative
Step-by-step explanation:
Paige makes bracelets and sells them online for $15 and $20. She buys all of her supplies in bulk. The table shows her sales for the last 3 months. During the 3-month period represented by the table, she ordered supplies twice. Each time, she spent $292.58 on supplies.
Answers
Paige's profit for the three-month period given the information provided in the question is $569.84.
What is the profit?
Profit is the difference between total revenue and total cost. Revenue is the product of total units sold and the price per output.
Profit = revenue - cost
Revenue from selling the $15 bracelet = total bracelets sold for the 3 months x price of the bracelet
(8 + 11 + 22) x 15
41 x $15 = $615
Revenue from selling the $20 bracelet = total bracelets sold for the 3 months x price of the bracelet
(7 + 6 + 14) x $20
27 x $20 = $540
Total revenue = $615 + $540 = $1,155
Total cost = $292.58 x 2 = $585.16
Profit = $1,155 - $585.16 = $569.84
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can anyone please solve this 3 dimensional equation?
Answers
The solution for the system of equations of three variables is:
x = 4
y = -1
z = -3
Or (4, -1, -3) written as a point.
How to solve the system of equations?
Here we have a system of equations on 3 variables, the system is:
3x + 2y + z = 7
5x + 5y +4z = 3
3x + 2y + 3z = 1
Notice that the "x" and "y" coefficients in the first and last equation are the same ones, so we can take the difference between these to get:
(3x + 2y + 3z ) - (3x + 2y + z ) = 1 - 7
2z = -6
z = -6/2 = -3
So the value of z is -3.
Replacing that in the first and second equation we get:
3x + 2y - 3 = 7
5x + 5y + 4*(-3) = 3
Now we can simplify these:
3x + 2y = 10
5x + 5y = 15
We can divide the second one by 5 to get:
(5x + 5y)/5 = 15/5
x + y = 3
Isolating x, we get:
x = 3 - y
Now we replace that in the other equation:
3*(3 - y) + 2y = 10
9 - y = 10
9 - 10 = y
-1 = y
Now we know the value of y, finally with:
x = 3 - y
We can get the value of x:
x = 3 - (-1) = 4
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Is the ordered pair a solution of the equation?
y = -6x - 14, (-5,16)
a. yes
b. no
Answers
Answer:
a. Yes
Step-by-step explanation:
If you plug in the ordered pairs, the -5 is x and 16 is y.
The equation would look like this:
16=30x-14
Add 14 on both sides
14+16=30
30=30x
divide by 30 on both sides
1=1
a. Yess
Solve for y:
4x-8y=32
Answers
Answer: y = -4 + x/2
Step-by-step explanation:
Select the correct answer. A chart shows a stock price model graph labeled the price of the stock in dollars along the y-axis and time in a day along the x-axis. Based on the stock price model, what is the best prediction of what the price will do next? A. hold value B. keep increasing C. start decreasing D. no way to predict
Answers
Answer:B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Jonathon's family is driving to a foot ball game. they have completed 40% of the trip they have traveled 20 miles how far is the trip
Answers
The total distance of the trip is 50 miles
How to determine the length of the trip?From the question, we have the following parameters
Distance completed = 40%
Distance travelled = 20 miles
Represent the total distance with x
So, we have the following equation
Distance travelled = Distance completed *Total distance
This gives
Distance travelled = Distance completed * x
So, we have
20 miles = 40% * x
Divide both sides by 40%
x = 50 miles
Hence. the length of the trip is 50 miles
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Can anyone solve this please, tommorow is my exam
Answers
Answer:
x=172°
Step-by-step explanation:
5x-11=3x-5
2x-11=5
2x=16
x=8
180-8=172
Suppose a ray of sunlight bounces off a window at a point P, and that
line mis perpendicular to the window at point P. Angles of inflection
and reflection are created as shown.
Write an equation and then solve for x.
m
-
(3x - 10)°
(2x + 5)°
P
Answers
By applying the law of reflection to the ray of sunlight, the value of x is equal to 5.
What is the law of reflection?The law of reflection is a theorem which states that the magnitude of the angle of incidence is equal to the magnitude of the angle of reflection when a ray of light is reflected off a surface such as a plane mirror.
Mathematically, law of reflection can be represented or modelled by this mathematical expression:
sinθi = sinθr
Where:
sinθi represents the angle of incidence.sinθr represents the angle of reflection.By applying the law of reflection to the ray of sunlight (see attachment), we have the following equation:
(3x - 10)° = (2x + 5)°
3x + 2x = 10 + 5
5x = 15
x = 15/3
x = 5.
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A boat can travel 228 miles on 19
gallons of gasoline. How much gasoline
will it need to go 48 miles?
Round the answer to two decimal digits
Answers
Answer: 4 gallons
Step-by-step explanation:
The boat can travel 228 miles on 19 gallons of gasoline. We can divide 228 by 19 to find out how many miles the boat can travel on 1 gallon of gasoline, which is 12. For the boat to go 48 miles, we can divide 48 by 12 to get the answer, which is 4. The boat can travel 48 miles with 4 gallons of gasoline.
what is t - 18 = 6 can you help me
Answers
Answer:
[tex]\boxed{\sf{t=24}}[/tex]
Step-by-step explanation:
Find the value of t, to isolate on one side of the equation.
t-18=6
First, add by 18 from both sides.
[tex]\rightarrow \sf{t-18+18=6+18}[/tex]
Solve.
Add the numbers from left to right.
6+18=24
[tex]\Rightarrow \boxed{\sf{t=24}}[/tex]
Therefore, the final answer is t=24.
The answer should have a positive sign.
I hope this helps, let me know if you have any questions.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{t - 18 = 6}[/tex]
[tex]\large\text{ADD \boxed{\textsf{18}} to BOTH SIDES:}[/tex]
[tex]\mathsf{t - 18 + 18 = 6 + 18}[/tex]
[tex]\large\text{CANCEL out: \boxed{\mathsf{-18 + 18}} because it gives you 0.}[/tex]
[tex]\large\text{KEEP: \boxed{\mathsf{6 + 18}} because it gives you the answer of the t-value.}[/tex]
[tex]\large\text{New equation: }\mathsf{t = 6 + 18}[/tex]
[tex]\mathsf{t = 6 + 18}[/tex]
[tex]\mathsf{t = 24}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{t = 24}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Which subset of real numbers is the best one to use to describe discrete data?numbers of students in a school district, the number of home runs hit by a baseball team, etc..,
Answers
GIVEN
The subset that best describes discrete data.
SOLUTION
Discrete data is a count that involves integers — only a limited number of values is possible.
Discrete data includes discrete variables that are finite, numeric, countable, and non-negative integers. These data are usually prefixed by "the number of..."
Whole numbers are the best for describing discrete data.
ANSWER
Whole numbers are the best subset of real numbers to describe discrete data.
I need the answer soon!
A museum charges $10 for general admission and $2 for each special exhibit you attend.
What does f(0) = 10 represent in the context of this problem?
Answers
In linear equation, If the person doesn't attend any events, n = 0, and the price stays at 10, therefore f(n) = 10 + 2n.
What in mathematics is a linear equation?
An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).The dependent variable in this scenario is y since it depends on the independent variable, x.To describe the cost of attending n events, create an equation using function notation.
A 10 dollar entrance fee is required each time, and a further 2 dollars must be paid for each unique exhibit that a visitor chooses to visit.
The function, which would depend on n events, is
If the person doesn't attend any events, n = 0, and the price stays at 10, therefore f(n) = 10 + 2n.
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84 minutes for 32 songs = 42 minutes for _____
songs
Answers
Answer: 84 minutes for 32 songs= 42 minutes for 16 songs.
Step-by-step explanation: All I had to do was divide 84 by two and divide 32 by 2.
84/2=42
32/2= 16 songs.
Answer: 16 songs.
84 dived by 2 equals 42.
Do 32 divided by 2 and it gives us 16.
Find the x- and y-intercepts of the graph of 4x-4y=324x−4y=32. State each answer as an integer or an improper fraction in simplest form.
Answers
Answer:x-intercepts (5,0)
y-intercepts (0,-5)
Step-by-step explanation: To find the x-intercept substitute in 0 for y and solve for x. to find the y-intercept subsitute 0 for x and solve for y
n Bill's physics class, he had to solve the equation 6 = 12kx2 for k. Each step of his work is shown below.
Answers
The unknown value from the given linear expression is 1/4
Solving linear equationsAx+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.
When an equation is given in this format, finding both intercepts is rather simple (x and y).
Given the equation below;
6 = 12k * 2
6 = 24k
Divide both sides by 24
24k = 6
k = 6/24
k = 1/4
Hence the value of k from the given expression is 1/4
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what is the slope of the line represented by the equation 4/5x -3
Answers
The slope of the line represented by the equation; 4/5x - 3 is; 4/5.
What is the slope of the line represented by the equation 4/5x - 3?It follows from the task content that the slope of the line represented by the equation; (4/5)x - 3 is to be determined.
Recall, from line geometry and equation of lines;
The slope-intercept form of the equation of a line, y is given as; y = mx + c.
Where, m is the slope and c is the y-intercept.
Therefore, by comparison of the equation defined as; 4/5x - 3; it follows that the slope of the equation is; 4/5.
Ultimately, the required slope is; 4/5.
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A restaurant equipment salesman is paid a 4% commission rate on his total sales.
One week he sells a total of $26,300 in product. What is his commission pay for
that week?
$5,260
O $1,052
$6,575
$10,520
Answers
The restaurant salesman will pay a commission of $1,052
How to calculate the amount of commission that will be paid ?Commission is the amount of money that is paid to a worker when a work is completed.
The commission rate of the total sales is 4%
= 4/100
= 0.04
The total sales for the week is $26,300
The commission that will be paid can be calculated as follows
= 26,300 × 0.04
= 1.052
Hence the amount of commission that will be paid is $1,052
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A and B are supplementary angles. If mA = (3x - 28)° and
m/B = (x − 4)°, then find the measure of A.
Answers
Answer:
A = 131°
Step-by-step explanation:
Supplementary angles sum 180°
A + B = 180°
(3x - 28) + (x - 4) = 180
4x - 28 - 4 = 180
4x - 32 = 180
4x = 180 + 32
4x = 212
x = 212/4
x = 53
Then:
A = 3x - 28
A = 3*53 - 28
A = 159 - 28
A = 131°
B = x - 4
B = 53 - 4
B = 49°
Check:
131° + 49° = 180°
Answer:m∠A=33
Step-by-step explanation:
You deposit $200 each month into an account earning 4% interest compounded monthly.
a) How much will you have in the account in 25 years?
$
b) How much total money will you put into the account?
$
c) How much total interest will you earn?
$
Answers
1. There will be $102, 826 in the account in 25 years.
2. The total amount of money you will put into the account is $60, 000
3. The total interest that you would have earned is $42,826.
How do you calculate total interest?For us to calculate the future value of the account in 25 years, we shoud use the formula; FV = P x (((1 + r)^nt - 1) / r)
When we insert the values, it will be
FV = 200 x (((1 + 0.04/12)^(12 x 25) - 1) / (0.04/12))
= 102, 825. 9. If we round this up, we should get
$102, 826
For us to calculate the total amount of money you put into the account, we should us the formula;
Total Deposits = Monthly Deposit x Number of Months
If we insert the values it wil be
200 x (25 x 12)
60,000
Lasty, if we are to find the total interest earned:
Total Interest = Future Value - Total Deposits
$102, 826 - 60,000
= $42,826
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hi I need help with this question anyone got answers??? please its due tmrrrr!!!!!
5 1/4 ÷ 2/4
Answers
21/4 / 2/4 = 21/4 • 4/2 = 84/8 = 10 1/2
help battery 10% pls hurry
Answers
The solution to the simultaneous equation is y = 5.5 and x = 1.5
How to solve for the simultaneous equation'Simultaneous equations are the types of equations in mathematics that is made up of two equations where the equations would have to share variables.
we have
y = 3x + 1 - - - - 1
x + y = 7 - - - - 2
we have to put the value of y in equation 1 into equation 2
we would have
x + 3x + 1 = 7
4x + 1 = 7
4x = 7 - 1
4x = 6
x = 6 / 4
x = 1.5
put the value of x in equation 2 to get y
1. 5 + y = 7
y = 7 - 1.5
y = 5.5
Therefore the values of y is 5.5 while the value of x is 1.5
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The required solution of the given simultaneous equation is x = 1.5 and y = 5.5.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
y = 3x + 1 _ _ _ _ _ _ (1)
x + y = 7 _ _ _ _ _ _ (2)
From equation 2
y = 7 - x substitute this in equation 1
7 - x = 3x + 1
4x = 6
x = 6 / 4
x = 3 / 2
Now put this x in equation 2
3/2 + y = 7
y = 7 - 3/2
y = 11 / 2
Thus, the required solution of the given simultaneous equation is x = 1.5 and y = 5.5.
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simplify the following 22e- 5e- 8e- 4e
Answers
Answer:
5e?
Step-by-step explanation:
so if i help let me know this please
[tex]22e - 5e - 8e - 4e = 5e[/tex]