The graph of F(x),shown below,has the same shape as the graph of G(x)=x^4, but it is shifted 2 units to the right. What is it’s equation?
F(x) =____
Answers
Hey there! :)
Answer:
A. [tex]f(x) = (x - 2)^{4}[/tex]
Step-by-step explanation:
Recall that the transformation form of a polynomial with degree four is:
[tex]f(x) =[/tex] ±[tex]a(b(x-h))^{4} +k[/tex]
In this instance, we will need to use the h value, or the horizontal shift.
It is given that there is only a horizontal shift of 2 units to the right, or h = 2. Plug this into the equation:
[tex]f(x) = (x - 2)^{4}[/tex]
Related Questions
Below is the work a student completed with an error. Identify the step where the error occurred and give the correct solution. Step 1:(12-20)-3(8-3)+13 Step 2:-8-24-9+13 Step 3:-32-9+13 Step 4:-41+13
Answers
Answer:
The error is in Step 2. The student distributed -3 incorrectly; it should have been 9, not -9. The correct solution is -8 - 24 + 9 + 13 = -32 + 9 + 13 = -32 + 22 = -10.
I NEED HELP ASAP PLEASE, A woodworker makes wooden checkerboards. Her profit is a function of the price
she charges. This graph shows her total profits, y, based on the sales price, x, of
each checkerboard.
Identify any zeros of the function, and interpret what the zeros mean in terms of
the situation.
A. Zero: x = 42.5. This is the selling price that will give her the greatest
profit.
B. Zeros: x = 20 and x = 65. These are the prices at which she makes the
least and greatest amounts of profit.
C. Zeros: x = 20 and x = 65. These are the prices at which she neither
makes nor loses money.
D. Zero: y = 1012.5. This is the maximum amount of profit she can make.
Answers
Answer:
Option (C)
Step-by-step explanation:
The given graph represents the relation between her profit and the price charged.
x-intercepts from the graph are at,
x = 20 and x = 65, which show the selling prices.
x-intercepts means y = 0
And y = 0 represents no profit no loss.
When we summarize these data,
zeros : x = 20 and x = 65
These are the selling prices that will give her neither profit nor loss.
Therefore, Option (C) will be the answer.
Answer:
its c
Step-by-step explanation:
ap3x verified
Help me!!!!!!! Plzzzz
Answers
Answer:
Option 3
Step-by-step explanation:
Trapezoid ABCD is rotated 180 degrees about the origin and then reflected over the x-axis, followed by a reflection over the y-axis. What is the location of point A after the transformations are complete?
Answers
Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
Given the coordinate of the trapezoid at A(-5, 1), B(-4, 3), C(-1, 3) and D(-2, 1).
The location of point A is at (-5, 1) which is the second quadrant, when it is rotated 180 degrees about the origin, the point moves to the fourth quadrant and the new point is at (5, -1). If it is then reflected over the x axis, the x coordinate remain the same and the sign of the y coordinate changes making the new point (5, 1). If it is then reflected over the y axis, the y coordinate remain the same and the sign of the x coordinate changes making the new point (-5, 1).
the location of point A after the transformations are complete is (-5, 1)
Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
53: PLEASE HELP Does -x+4y=-5 represents a direct variation?
Answers
Answer:
No, it does not.
Step-by-step explanation:
Immediately from the given equation, we can see that it has a constant (-5).
Direct variation equations are in the form y=kx, where k is an coefficient. There are no constants in direct variations.
which is equivalent to 3 square root 8 x
Answers
Answer: [tex]\sqrt{72x}[/tex]
Step-by-step explanation:
First turn 3 into [tex]\sqrt{9}[/tex]. Then multiply [tex]\sqrt{9}[/tex] and [tex]\sqrt{8x}[/tex] to get [tex]\sqrt{72x}[/tex]
The equivalent to the 3 square root 8x is 6[tex]\sqrt{2x}[/tex].
Equivalent to 3 square root 8x to be determined.
Root of of the value is the fraction power to value.
Here,
3[tex]\sqrt{8 x} =3 \sqrt{2^3x}\\[/tex]
[tex]=2*3\sqrt{2x} \\= 6\sqrt{2x}[/tex]
Thus, the equivalent to the 3 square root 8x is 6[tex]\sqrt{2x}[/tex].
Learn more about roots here:
https://brainly.com/question/16932620
#SPJ2
C is opposite___?
Help pls
Answers
Answer:
Hey there!
Angle C is opposite to side AB, because it is opening towards that line segment.
Let me know if this helps :)
Expand (x +2) (9 - x)
Answers
Answer:
-x²+7x+18
Step-by-step explanation:
(x+2) (9-x).
x(9-x)+2(9-x)
9x-x²+ 18-2x
9x-2x-x²+18
7x-x²+18
-x²+7x+18
Answer:
x^2-7x-18
Step-by-step explanation:
Verified Khan Academy Answer
A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the
cylinder. If the height of the cylinder is 32 inches, what is the approximate volume of
the sphere?
A 2,7317 cu in.
B 4,0961 cu in.
C 8,192n cu in.
D 5,4611 cu in.
Answers
Answer:
Step-by-step explanation:
we khow that the height of the cylinder is 32 inches
divide it by 2 to get the radius 32/2= 16
let V be the volume :
V= (4/3)*16³*π = 17157.28 in³ this really close to the volume of this sphereThe volume of the sphere will be 5461.3 π cubic inches. Then the correct option is D.
What is the volume of the sphere?Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the cylinder.
If the height of the cylinder is 32 inches.
The height of the cylinder and sphere are same.
Then the radius of the sphere will be
r = 32 / 2
r = 16 inches
Then the volume of the sphere will be
V = 4/3 π(16)³ cubic units
V = 5461.3 π cubic inches
Then the correct option is D.
More about the volume of the sphere link is given below.
https://brainly.com/question/9994313
#SPJ2
ASAP FUNCTIONS HELP ASAP
Answers
Answer: B
Step-by-step explanation:
The range of a function is every valid y value, in this case represented by B
A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is: f(x) = x + 30. How will the graph of this function change if the coal car weight is changed to 26 tons?
Answers
Answer:
See explanations below
Step-by-step explanation:
In the function
f(x) = x + 30
x represents the volume of coal in cubic yards.
The implicit coefficient of one, i.e. 1x, represents each cubic yard of coal weighs one ton.
The 30 represents the weight in tons of the empty coal car.
Thus when the weight of the coal car is only 26 tons, we replace 30 by 26 to get a new function
f(x) = x + 26.
Mandy and karissa swam laps in the pool to train for the upcoming swim meet. The ratio to the number of laps Mandy swam to the number of laps karissa swam was 2 to 3. If Mandy swam 12 laps, how many laps did karissa swim?
Answers
2/3 = 12/x. Cross multiply the proportion.
2x = 36. Solve for x.
x = 18.
What's the correct algebraic translation of the following sentence?
The sum of three times the number n and 6 is, at most, the difference between the number n and 5.
Choices
6n + 3 > n + 5
3n – 6 < 5n
9n ≥ 5
3n + 6 ≤ n – 5
Answers
Answer:
3n + 6 ≤ n - 5
Hope that helps.
Two quantities are related, as shown in the table below: x y 2 10 4 9 6 8 8 7 please help! Which equation best represents the relationship?
y = 1 over 2x + 11
y = negative 1 over 2x + 11
y = 2x + 10 y = 2x + 11
Answers
Answer:
y = negative 1 over 2x + 11
Step-by-step explanation:
Given the table :
X - - - - Y
2 - - - - 10
4 - - - - 9
6 - - - - 8
8 - - - - 7
The equation can be modeled using the equation of a line or linear equation and obtaining the equation of the best fit
y = mx + c
x and y are the variables
m = slope or gradient of the line
c = intercept
The equation can be obtained by using the linear regression calculator, Inputting the x and y values which yields the equation of the best fit line.
The result obtained from the calculator is:
ŷ = -0.5X + 11
Step-by-step explanation: y = negative 1 over 2x + 11 is the correct answer. I took the test. Have a good day! :D
Please answer this question now in two minutes
Answers
Answer:
p = 100
Step-by-step explanation:
If Q and T are midpoints, then the triangles URS and UQT are similar triangles and verify the following proportions:
[tex]\frac{QT}{RS} =\frac{UQ}{UR} =\frac{UT}{US} =\frac{1}{2}[/tex]
and all should equal 1/2 because Q and T are midpoints.
Then we study in particular the proportion:
[tex]\frac{QT}{RS} =\frac{1}{2}[/tex]
since we know both segments can be expressed in terms of "p" as indicated in the problem:
[tex]\frac{QT}{RS} =\frac{1}{2}\\\frac{p-87}{p-74} =\frac{1}{2}\\2(p-87)=p-74\\2p-174=p-74\\2p-p=174-74\\p=100[/tex]
what is this answer 4\5+2\10
Answers
Answer:
1
Step-by-step explanation:
To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.
Answer:
1 or 10/10
Step-by-step explanation:
Step 1 make a common denominator
to make a common demoniator multiply the top and bottom number by the same number
so multiply the 4 and 5 by 2 to get 8/10
Step 2 now that you have 8/10 add it with 2/10
Step 3 solve to get 10/10 and then simplify it to 1
What is the slope of the line with equation y−3=-1/2(x−2)?
Answers
Answer:
m = -1/2
Step-by-step explanation:
y= m+b
y = -3 = -1/2 (x-2)
y = -1/2(x-2)+3
y = -1/2x-2x(-1/2)+3
y = -1/2+1+3
y = -1/2+4
Hence, the slope is -1/2
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good
support for whether her claim is true or false?
O Her claim is true and she should use these data sets to provide support.
0
1 2
3 4
5 6
7 8 9 10 11
+
+
+
+
+
+
+
+
0
1
2
3
4
5
6
7
8
9 10 11
O
Her claim is true and she should use these data sets to provide support.
+
6
0
3
+
7
1
4
2
5
+ + +
9 10 11
8
Answers
Complete Question:
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support for whether her claim is true or false?
A. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
B. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. A line divides the box at 7.
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
D. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 5.5.
Answer:
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
Step-by-step explanation:
The median of a box plot is indicated by the line that divides the rectangular box into 2.
Also, the interquartile range is a measure of variability. And this is indicated or represented on a box plot by the range of the box. That is the difference between one end of the box and the beginning of the other end to our left.
The data set that can be used to show that Madison claim is false is a data set showing 2 box plots with the same median value but different interquartile range.
Therefore, C is the right option. Both data set in the drop box would have a median of 7. The interquartile range of one of the drop box would be = 9-4 = 5, while the other would be = 8-5 = 3.
This shows 2 data set with the same median can have different variability.
HELPPPP Cos x cosy = 1/2(sin (x+y)+ sin (x-y)) true or false
Answers
Answer:
Step-by-step explanation:
REcall that sin(a+b) = sin(a)cos(b)+cos(a)sin(b). Then
sin(a+b)+sin(a-b) = sin(a)cos(b)+cos(a)sin(b) + sin(a)cos(b) -cos(a)sin(b) = 2sin(a)cos(b). Then
sin(a)cos(b) = (1/2)(sin(a+b)+sin(a-b))
So it is false
if you can save it and solve it there on the paper
Answers
Answer:
2a). Y= 1. 3= x
2b). Y=4 x= 1
3).
Y= x²+3x-18
For -5
First difference
10
Second difference
-8
For -4
First difference
4
Second difference
-14
For -3
First difference
9-9= 0
Second difference
-18
For -2
First difference
-2
Second difference
-20
For -1
First difference
-2
Second difference
-20
For 0
First difference
0
Second difference
-18
The relation ia a quadratic relation because of the highest Power of x to be 2
Step-by-step explanation:
For
Y=- x+4. Y= 1
Y=x-2. 1= x-2
2y =2. 1+2= x
Y= 1. 3= x
For
Y= x+3. 1= x
Y= 3x+1. Y= 3+1
0= 2x-2. Y= 4
2= 2x
1= x
Y= x²+3x-18
For -5
First difference
25-15= 10
Second difference
10-18= -8
For -4
First difference
16-12= 4
Second difference
4-18= -14
For -3
First difference
9-9= 0
Second difference
0-18 = -18
For -2
First difference
4-6= -2
Second difference
-2-18= -20
For -1
First difference
1-3 = -2
Second difference
-2-18 = -20
For 0
First difference
0+0 = 0
Second difference
0 -18= -18
The relation ia a quadratic relation because of the highest Power of x to be 2
please help ! what’s the correct answer ??
Answers
_________________
EXPLANATION:
{DISCLAIMER: sorry i don’t know where the greater/less than or equal to sign is so imagine it’s there haha)
-8x + 14 (is greater than or equal to)60 OR -4x < 8
conduct problems like these as you would any other problem! :)
on the first side, subtract 14 from both sides so: -8x (is greater than or equal to) 46
divide by -8 on both sides
remember when dividing by a negative with problems involving greater/ less than signs, the sign will flip. so in this case, because we are dividing by a -8, the great than or equal to sign flips around and becomes a less than or equal to sign
so x (is less than or equal to) -46/8
simplify your fraction, and x (is less than or equal to) -23/4
_________________
on the other side: -4x+50 <58
subtract 50 from both sides so: -4x < 8
divide by -4 on both sides so: x > -2
(remember our rule that if we divide by a negative when a sign is present the sign flips)
and there’s your answer!! hope this helps you out:D
which name best describes the group of shapes below????
Answers
Answer:
parallelograms
Step-by-step explanation:
It's all about diagonals
Explanation: The sides are parallel to the sides that they are facing. Brainliest Answe and Thanks mean a lot!
An interior angle of a regular convex polygon is 135°. How many sides does the polygon have?
Answers
Hey there! :)
Answer:
The polygon has 8 sides.
Step-by-step explanation:
Use the sum of interior angles formula to solve.
The sum of the interior angles is equal to (n-2)180. If 135° is one angle, we can simply set up an expression to represent this situation:
135 = (n-2)· 180 / n
Multiply both sides by n:
135n = (n-2) · 180
Distribute the 180:
135n = 180n - 360
Subtract 180n from both sides:
-45n = -360
Divide both sides by -45:
n = 8. The polygon has 8 sides.
Answer:8 sides
Step-by-step explanation:
The perimeter of the rectangle above is:
Answers
Answer:
A. 8x² + 2y²
Step-by-step explanation:
There is a formula for the perimeter.
2l + 2w
2(4x²) + 2(y²)
8x² + 2y²
The perimeter of the rectangle is 8x² + 2y².
What is the area of the triangle in the diagram?
Answers
Answer:
I think the answer is B. Let me know if im right
Step-by-step explanation:
l*w*1/2 is the same as 1/2*y*(x2-x1)
Answer:
B
Step-by-step explanation:
To calculate the area of this triangle we must use vectors :
vector1 (x1-0,y1-0)⇒ vector1(x1,y1)vector2 (x2-0,y1-0)⇒vector(x2,y1)Now to calculte the area of this triangle we must apply this relation :
A= (1/2)*║x1y1-x2y2║
x2≥x1 so ⇒ A=(1/2)*(x2y1-x1y1)A= (1/2)*y1*(x2-x1)The equation yˆ=−6.2x2+41.5x−5.6 approximates the average number of cars that pass through an intersection x hours after 3:00 p.m. What is the best estimate for the average number of cars that pass through the intersection at 5:30 p.m.?
Answers
Answer:
59
Step-by-step explanation:
5: 30 pm is 2.5 hours after 3 : 00 pm
Substitute x = 2.5 into the equation
y = - 6.2(2.5)² + 41.5(2.5) - 5.6
= - 38.75 + 103.75 - 5.6
= 59.4
The average number of cars is 59
Select the graph for the solution of the open sentence. Click until the correct graph appears |x| < 3
Answers
|x| < 3 turns into -3 < x < 3
This says that x is between -3 and 3, but cannot equal either endpoint.
The graph will be a number line with open circles at -3 and 3. Then you shade in between those open circles.
It's the graph below vvv/ Have a good day! xx
Which expression is equivalent to 3n+2(1-4n)?
a) 2-n
b) 2-5n
c) 2+11n
d) 2-11n
Samuel chose A as his answer. Explain why he did that.
Answers
Answer:
3n +2 -8n
2 - 5n
Step-by-step explanation:
Answer:
He only multiplied the 2 to the first term in the parentheses instead of both terms
Step-by-step explanation:
3n+2(1-4n)
Distribute
3n + 2 -8n
Combine like terms
2 -5n
Samuel made the mistake of incompletely distributing
He only multiplied the 2 to the first term in the parentheses instead of both terms
3n+2(1-4n)
3n +2 -4n
2-n
Find the volume of this using this formula: v=LWH
Answers
Answer:
1200
Step-by-step explanation:
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226. What is the input? What is the output? What are the two points described in the real-world scenario?
Answers
Answer:
What is the input?
✔ the number of months
What is the output?
✔ the balance in the account
What are the two points described in the real-world scenario?
✔ (5, 442) and (13, 226)
Step-by-step explanation:
I took the test and got these correct.
Hope I helped!! :))
Answer:
✔ the number of months
What is the output?
✔ the balance in the account
What are the two points described in the real-world scenario?
✔ (5, 442) and (13, 226)
explanation: