Answer:
f(x) should shifted Right by 4 units to obtain g(x) ⇒ B
Step-by-step explanation:
Let us put g(x) in the form of g(x) = (x - h)² + k, where h is the the horizontal shift (x - h) to right, (x + h) to left and k is the vertical shift (k) up and (-k) down
In the quadratic function y = ax² + bx + c, h = [tex]-\frac{b}{2a}[/tex] and k = y at x = h
∵ g(x) = x² - 8x + 1
∵ a is the coefficient of x² and b is the coefficient of x
∴ a = 1 and b = -8
∵ h = [tex]-\frac{b}{2a}[/tex]
∴ h = [tex]-\frac{-8}{2(1)}=\frac{8}{2}[/tex]
∴ h = 4
∵ k = g(x) at x = h
- Substitute x by 4 in g(x) to find k
∴ k = (4)² - 8(4) + 1 = 16 - 32 + 1
∴ k = -15
- Substitute them in the form of g(x) = (x - h)² + k
∴ g(x) = (x - 4)² + (-15)
∵ h is the horizontal shift
∵ (x - h) means shift to right h units
∵ f(x) = x²
∵ g(x) = (x - 4)² + (-15)
- That means f(x) is shifted 4 units to the right
∴ f(x) should shifted right by 4 units to obtain g(x)
Answer:
B. Right by 4 units
Step-by-step explanation:
find the quotient of 3/18 divided by 7/21
Answer:
.498
Step-by-step explanation:
divide 3/18 and you get .166
Then divide 7/21 and you get .333
Then you must divide those two together, and you get .498
Complete the recursive formula of the geometric sequence −0.6,3,−15,75,...
Answer:
[tex] - 0.6 - 3 - 15.75 = .9[/tex]
Answer:
-5
Step-by-step explanation:
khan academy
first is −0.6
then -5 because x each one by -5
Can someone help me out
Answer:
m= -5/8
Step-by-step explanation:
Slope of a line containing the points,
[tex] \frac{y2 - y1}{x2 - x1} = m[/tex]
where, m is the slope
Here,
[tex]m = \frac{7 - 2}{4 - 12} = \frac{ 5}{ - 8} = \frac{ - 5}{8} [/tex]
The Australian Cockroach measures 3.582 centimeters compared to the American Cockroach that measures 3.576 centimeters. Compare these numbers using >, <, or =
____________________, ____________________, ______________________
Since the Australian Cockroach measures 3.586 centimeters, and the American Cockroach measures 3.576, we should pay attention to the numbers being told.
3.586 and 3.576 have 3 in their thousands.
3.586 and 3.576 also have 5 in their hundreds.
In the tens, the eight is larger than the seven.
3.586 > 3.576
(I hoped this helped!)
What is the maximum height the cricket reaches? Round to the nearest thousandth.
Answer:
3.063
Step-by-step explanation:
Answer: 3.063
Step-by-step explanation:
PLEASE HELP!!!!!!
Look at the figure. Find the value of x.
A.) 90
B.) 30
C.) 15
D.) 45
Which of the following expressions are equivalent to
-(8/3)
Choose all answers that apply: A) 8/-3 B) - 8/-3 C)
None of the above
Answer:
A
Step-by-step explanation:
To determine which expressions are equivalent to -(8 divided by 3), let's perform the calculation first. Therefore the correct option is A
The division of 8 by 3 can be written as 8/3, which equals to 2.6666 (rounded to four decimal places). When we apply the negative sign to this result, we get -(2.6666) or -2.6666. Now, let's consider the given answer choices: A) 8 divided by -3: This expression corresponds to 8/(-3), which equals to -2.6666. Since this matches the calculated value of -2.6666, option A is equivalent.
B) -8 divided by -3: This expression translates to [tex](-8)/(-3),[/tex] which simplifies to 2.6666. As this value does not match the calculated result of -2.6666, option B is not equivalent. Therefore, by comparing the results, we can conclude that option A (8 / -3) is equivalent to -(8 / 3), while option B (-8 / -3) is not. To summarize, the expression -(8 /3) can be represented as 8 by -3 (option A). Option B (-8 / -3) is not equivalent.
Thus, the correct answer is A) 8 /-3.
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Jay is making a documentary on the opinions of Cortland residents toward a
local sports team. If he talks to 8 people, and each interview lasts 3 minutes,
how long will the film be?
Answer:
24 minutes.
Step-by-step explanation:
8 people x 3 minutes of interview = 24 minutes of interview time.
Answer:
f=8*3.
Step-by-step explanation:
Which is the same as 7/3?
Answer:
Its D.
Step-by-step explanation:
7 is being divided from 3.
Answer: 7 divided by 3
Step-by-step explanation: 7/3 = 2.3 and so does 7 divided by 3.
pls help me give u a brainlest
Answer:
uhmm. lemme remember how to do that
Answer:
30 in
Step-by-step explanation:
V=Bh
Find the area of the triangle then multiply it by the height of the prism.
what is the vertex of the graph of y=2(x-2)2+4
Answer:
The vertex is at (2,4)
Step-by-step explanation:
The parabola is given in the form
y = a(x-h)^2 +k
where (h,k) is the vertex
y=2(x-2)^2+4
The vertex is at (2,4)
Answer: (2,4)
Step-by-step explanation:
I promise you
Thomas wants To find out which sport the entire 8th grade cloth on his school likes best
Answer:
Ok what are his options?
Step-by-step explanation:
Answer:
Ping Pong
Step-by-step explanation:
dunno
Please help ASAP 15 points
Answer:
k= 35 degrees do the very bottom
Step-by-step explanation:
55 + 35 = 90
These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville
Answer:
The question is not complete. Attached to this answer is the diagram of the box plot and the complete question:
These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville
Based on the data on the two box plots, which statement about the difference in the medians of the two data sets is true?
The correct answer is:
The difference is about [tex]\frac{1}{2}[/tex] times the range of the data shown for Johnstown,and about [tex]\frac{3}{8}[/tex] times the range of data for Martinville. (D)
Step-by-step explanation:
From the box plot, it is seen that the following data can be gotten:
Cities Range Midian (mid-point)
Johnston 140 - 80 = 60 110
Martinville 120 - 40 = 80 80
Difference in medians = 110 - 80 = 30
now comparing the difference between the median and the ranges of each city, we observe that:
range for Johnston = 60 ; median difference = 30
hence difference in medians : range for Johnston = 30 : 60 = 1 : 2 = 1/2
hence difference of medians is [tex]\frac{1}{2}[/tex] times the range of Johnston.
Difference of midians : range of Martinville = 30 : 80 = 3 : 8 = 3/8
hence the difference of medians is [tex]\frac{3}{8}[/tex] times the range of Martinville.
Answer: The question is not complete. Attached to this answer is the diagram of the box plot and the complete question:
These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville
Based on the data on the two box plots, which statement about the difference in the medians of the two data sets is true?
The correct answer is:
The difference is about times the range of the data shown for Johnstown,and about times the range of data for Martinville. (D)
Step-by-step explanation:
From the box plot, it is seen that the following data can be gotten:
Cities Range Midian (mid-point)
Johnston 140 - 80 = 60 110
Martinville 120 - 40 = 80 80
Difference in medians = 110 - 80 = 30
now comparing the difference between the median and the ranges of each city, we observe that:
range for Johnston = 60 ; median difference = 30
hence difference in medians : range for Johnston = 30 : 60 = 1 : 2 = 1/2
hence difference of medians is times the range of Johnston.
Difference of midians : range of Martinville = 30 : 80 = 3 : 8 = 3/8
hence the difference of medians is times the range of Martinville.
Step-by-step explanation:
Can someone help? Identify the system of linear equations from the tables of values given below.
Answer:
C
Step-by-step explanation:
The equation y = x + 2 does not match these data points either. So, option D is not the correct answer.
Let's analyze each option:
A. y = -2x - 2
This equation represents a linear relationship with a slope of -2 and a y-intercept of -2. It does not seem to match the given data points.
B. -2
This is not an equation, so it cannot be a solution.
C. y = 8 + 2x, y = x + 1
The first equation, y = 8 + 2x, represents a linear relationship with a slope of 2 and a y-intercept of 8.
The second equation, y = x + 1, also represents a linear relationship with a slope of 1 and a y-intercept of 1.
Now, let's check if these equations match the given data points:
Data points: (X, Y) = (0, 0), (0, -4), (0, -2), (0, -4), (0, 0), (0, -1), (0, 2), (0, 6), (0, -6), (0, -1), (0, 2)
None of the equations in option C match these data points. So, option C is not the correct answer.
. y = x + 2
This equation represents a linear relationship with a slope of 1 and a y-intercept of 2.
Now, let's check if this equation matches the given data points:
Data points: (X, Y) = (0, 0), (0, -4), (0, -2), (0, -4), (0, 0), (0, -1), (0, 2), (0, 6), (0, -6), (0, -1), (0, 2)
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What is the area of the following circle?
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
r=1
Answer:
The area is 3.14
Step-by-step explanation:
Get the radius and times it by itself then multiply it by pie and you get 3.14
i need help with this question asap pleaseeeeee
Answer:
y = 3[tex]\sqrt{7}[/tex]
Step-by-step explanation:
The two inner right triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{y}{9}[/tex] = [tex]\frac{7}{y}[/tex] ( cross- multiply )
y² = 63 ( take the square root of both sides )
y = [tex]\sqrt{63}[/tex] = [tex]\sqrt{9(7)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{7}[/tex] = 3[tex]\sqrt{7}[/tex]
Write (p^3)^2 without exponents
Answer:
(p³)² is p⁶, which is p·p·p·p·p·p
Hope this helps!
(edit: nevermind, this was in April of 2020)
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression (p³)² without exponents can be rewritten as p×p×p×p×p×p.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the given expression (p³)² can be rewritten as,
(p³)²
= p⁶
= p × p × p × p × p × p
Hence, The value of the given expression (p³)² without exponents can be rewritten as p×p×p×p×p×p.
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what is a number that when you multiply it by 4 and add 15 to the product you get 28? show your work please
Answer:2
Step-by-step explanation:
What is the unit rate for sukis scrumptious sushi?
A. $4.50 for 1 sushi roll
B. $9.00 for 1 sushi roll
C. $9.00 for 2 sushi rolls
D. $2.00 for 9 sushi rolls
Please help me with #2.
Answer:
320 meters
Step-by-step explanation:
(20*8*6)/3
Answer:
320 cubic meters.
Step-by-step explanation:
Volume = LxW/ h/3.
--> 20x8/6/3 = 320.
Can someone help me please 100 Points!!
Answer: y=2x+13
Step-by-step explanation: So you need to find the equation y=mx+b
So to find slope (m) you need to do is rise over run. So your slope would be 2.
Now we need to find your y-intercept (b). Your y-intercept would be 13. so your equation for the line of best fit would be y=2x+13
I hope this helped.
Which sphere has a volume of 0.288Pi in.3?
A sphere with radius 0.4 inches.
A sphere with radius 0.5 inches.
A sphere with radius 0.6 inches.
A sphere with radius 0.7 inches.
Answer:
Step-by-step explanation:
Answer in the photo
A sphere that has a volume 0.288π inches cube has a radius of 0.6 inches
Volume of a sphere
The volume of a sphere is described as follows:
volume of sphere = 4 / 3 πr³
where
r = radius of the sphereTherefore,
volume = 0.288π inches cube
Hence, the radius can be calculated as follows;
0.288π = 4 / 3 πr³
divide both side by π
0.288 = 4 / 3r³
cross multiply
0.288 × 3 = 4r³
0.864 = 4r³
divide both sides by 4
r³ = 0.864 / 4
r = ∛0.216
r = 0.6 inches
Therefore, a sphere that has a volume 0.288π inches cube has a radius of 0.6 inches
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Help ASAP please ! Explain too
Answer:
r=4
Step-by-step explanation:
you basically have to create a proportion. .5/12 = x/96. then u cross multiply
What is the magnitude of the resultant vector a and b shown below?
Answer: SECOND OPTION.
Step-by-step explanation:
It is important to remember that, by definition, the "Resultant vector " is the vector obtained by adding two or more vectors.
For this exercise you need to use the formula for calculate the magnitude of the resultant vector obtained by adding the vectors "a" and "b" shown in the picture attached:
[tex]c=\sqrt{a^2+b^2}[/tex]
Where "c" is the magnitude of the resultant vector asked in the exercise.
You need to analyze the graph given in the exercise.
You can identify that:
[tex]a=4\\\\b=3[/tex]
Then the next step, knowing which are "a" and "b", is to substitute values into the formula given at the beginning of this explanation, as following:
[tex]c=\sqrt{4^2+3^2}[/tex]
Finally, evaluating, you get that "c" is:
[tex]c=\sqrt{16+9}\\\\c=5[/tex]
The magnitude of the resultant vector a and b is 5.
Explanation:The magnitude of the resultant vector a and b can be found using the Pythagorean theorem.
The Pythagorean theorem states that the magnitude of the resultant vector is equal to the square root of the sum of the squares of its individual vector components.
Let's assume vector a has a magnitude of 3 and vector b has a magnitude of 4. First, we square the magnitude of each vector: a^2 = 3^2 = 9 and b^2 = 4^2 = 16.
Then, we sum the squared magnitudes: a^2 + b^2 = 9 + 16 = 25. Finally, we take the square root of the sum: magnitude of the resultant vector = sqrt(25) = 5. So, the magnitude of the resultant vector a and b is 5.
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How is a debit card similar to an ATM card?
a. Each is only available to adults 18 and older.
b. Any one person can only have one of each at a time.
C. Both can be used to withdraw money from ATMs.
d. Both can be used to make purchases online,
Please select the best answer from the choices provided
ОООО
C. Both can be used to withdraw money from ATMs.
A debit card and an ATM card share certain similarities, but they also have distinct differences. Let's focus on the similarities both can be used to withdraw money from ATMs (option c).
The primary similarity between a debit card and an ATM card is that they can both be utilized to withdraw cash from Automated Teller Machines (ATMs). When using either card at an ATM, the cardholder can access their bank account and withdraw funds, check balances, and perform other account-related transactions.
However, it is crucial to note the differences between these two types of cards. A debit card is linked to a checking or savings account and allows the user to make purchases in stores, online, or through other payment methods. It deducts the amount spent directly from the linked bank account. On the other hand, an ATM card is typically used only for ATM transactions and lacks the functionality to make purchases like a debit card.
In summary, both a debit card and an ATM card can be used to withdraw money from ATMs, but a debit card offers additional features and can be used for various transactions, including online and in-store purchases.
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Art and PE
--------- Art No Art Total
PE A B C
No PE D E F
Total G H J
300 students in a middle school take Art, and 250 of those students also take PE. There are 250 students who do not take Art but do take PE. 125 students take neither Art nor PE. If you were to complete the two-way table shown here, which value would go in position D?
A) 50
B) 75
C) 100
D) 125
Answer:
A) 50
Step-by-step explanation:
D: Art & No PE
Art - Art&PE
300 - 250
50
Answer:
Answer is 50
Step-by-step explanation:
I just did the test on usatestprep
Find m< HIF
Show your work
Answer: m/HIF =110•
Step-by-step explanation:
The measure of angle HIF is 13.89°.
To find the measure of angle HIF (m∠ HIF), we need to use the fact that the sum of angles in a triangle is 180 degrees.
Let's denote the measure of angle JIF as y.
According to the given incorrect solution, we have:
m∠ JIF + m∠ IFJ + 90 = 180
But the sum of angles JIF and IFJ isn't necessarily 90 degrees unless we know more about the triangle or have additional information.
However, since we know that the sum of angles in triangle JIF is 180 degrees, we can use this to find the measure of angle HIF.
We have:
m∠ JIF + m∠ IFJ + m∠ HIF = 180
We know that m∠ JIF = 7x + 3 and m∠ IFJ = 2x + 6. Plugging these values in, we get:
(7x + 3) + (2x + 6) + 46 = 180
Combine like terms:
7x + 3 + 2x + 6 + 46 = 180
9x + 55 = 180
Subtract 55 from both sides:
9x = 125
Divide both sides by 9:
x = 125 / 9
Now, we can find the measure of angle HIF by substituting the value of x into the expression for m∠ HIF:
m∠HIF = 13.89°
You randomly draw a marble out of a bag that contains 20 total marbles. 12
What is P (draw a blue marble)?
If necessary, round your answer to 2 decimal places.
Answer:
The probability of drawing a blue marble is 1 IN 4
Step-by-step explanation:
Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 24 miles south. She then runs 10 miles west. Her trainer bikes from the health club to meet jane at the end of her run. How much farther does jane travel than her trainer?
Answer:
26 miles farther from her trainer
Step-by-step explanation:
She starts her journey at health club,
Ran 24 miles south and then 10 miles west.
The distance between her end point and her trainer who was at health club can be calculated using pythagorean theorem.
X² = y² + z²
X = her end point
Z = distance between health club 24 miles south. = 24miles
Y = 10 miles distance from the 24 miles south. = 10 miles.
(See attachment for better illustration.)
X² = 24² + 10²
X² = 576 + 100
X² = 676
X = √(676)
X = 26 miles
Jane was 26 miles farther from her trainer