The graph of F(x), shown below, has the same shape as the graph of
G(X) = x1 - x2, which contains the point (0, 0). Which of the following is the
equation of F(x)?
Answers
Answer:
f(x) = x^4-x^2+ 2
option D
Step-by-step explanation:
From the question, we are told that the graph of g(x) contains the point (0,0)
What the graph of f(x) is showing to us is that it is translated 2 units up the vertical axis to get its starting position
What we are saying in essence is that the graph of f(x) and g(x) are similar, but f(x) was formed as a result of applying some transformation to g(x)
The transformation applied on f(x) is that it was moved 2 units upwards from g(x)
Since the translation is in a positive direction
Since the graph was moved up, it means that we added to the output of the graph
So the equation becomes;
f(x) = x^4-x^2+ 2
Related Questions
Helpp plzz!!
Given quadrilateral ABCD is congruent to Quadrilateral A'B'C'D', What is the measure of B'C'?
Answers
Answer: BC=18
Step-by-step explanation:
because both figures are congruent
BC is equal to B'C'
3x+12=5x+8 we solve the equations by adding and subtracting variables and numbers
3x-5x=8-12
-2x=-4 multiply by -1 and divide by 2
x=2
BC=18
The half-life of Einsteinium 253 is 20.5 days. If you start with 5g
of Es-253, how many grams will you have after 31 days?
Answers
Answer:
1.753 g
Step-by-step explanation:
Half life of Einsteinium = 20.5 days
Time elapsed = 31 days
Initial quantity of the substance = 5g
The formula to apply is;
[tex]N( t )=N_o( \frac{1}{2} )^{\frac{t}{t0.5} }[/tex]
Where
N(t)=quantity of a substance remaining
No =Initial quantity of the substance = 5g
t= time elapsed=31 days
t1/2 = half life of the substance= 20.5 days
N(t)=5 * {1/2} ^ {31/20.5}
N{t} = 5 * {0.5}^1.5
N{t} = 5*0.3506
N{t} =1.753 g
Factor Quadratics
(10Point)
x2 – 18x + 77
(x – 3) (x – 15)
(x - 11) (x - 7)
(x - 2) (x -9)
(x - 11) (x – 6)
Answers
Answer:
Consider the form x 2 + b x + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 77 and whose sum is 18 . 7 , 11 Write the factored form using these integers. ( x + 7 ) ( x + 11 ).
Step-by-step explanation:
Answer:
Step-by-step explanation:
x^2 - 18x + 77
(x - 11)(x - 7)
Mrs. Groen estimates that she will spend $120 at the grocery store. She actually spends $150. What is the percent error?
Answers
Answer:
20% sorry if im wrong
Step-by-step explanation:
linear or nonlinear?
Answers
Answer:
NonLinear line
Step-by-step explanation:
Linearity is the property of a mathematical relationship that can be graphically represented as a straight line. Linearity is closely related to proportionality. Examples in physics include the linear relationship of voltage and current in an electrical conductor, and the relationship of mass and weight.
Select the correct answer.
Consider these functions:
f(x)=-2x – 1
g(x) = -1/2x+1/2
Which statements, if any, are true about these functions?
1. The function A g(x)) = x for all real x.
II. The function glAx)) = x for all real x.
III. Functions fand g are inverse functions.
A.
Tonly
B.
II only
C.
I, II, and III
D.
None of the statements are true.
Answers
Answer:
D
Step-by-step explanation:
Given that
f(x)=-2x – 1
g(x) = -1/2x+1/2
I The function f( g(x)) = x for all real x.
-2(-1/2X + 1/2) - 1
X - 1 - 1
X - 2
II. The function glAx)) = x for all real x.
- 1/2( -2X - 1 ) + 1/2
X + 1/2 + 1/2
X + 1
III. Functions fand g are inverse functions
Inverse of f(x)
Y = -2x - 1
X = - 2Y - 1
- 2Y = X + 1
Y = - 1/2X - 1/2
Therefore, none of the above answers is correct.
The correct answer is therefore D
Answer:
The correct answer is D. None of these statements are true.
Step-by-step explanation:
I got it right on the Plato test.
Please Help
The square root of what number is equivalent to the cube root of 27?
Answers
Answer:
the number is 9
Step-by-step explanation:
Find the equation of the line specified. The line passes through the points (-2, 3) and (-4, 7) a. y = -2x - 1 b. y = -2x + 3 c. y = -4x - 1 d. y = -2x + 7 Please select the best answer from the choices provided A B C D.
Answers
Answer:
Step-by-step explanation:
To do this we will first use the slope formula to find the slope of the line. Given 2 points, you can't do anything else BUT find the slope. Always start there. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plugging in our values from the points where y2 is 7, y1 is 3, x2 is -4 and x1 is -2:
[tex]m=\frac{7-3}{-4-(-2)}=\frac{7-3}{-4+2}=\frac{4}{-2}=-2[/tex]
So the slope is -2. Now we will pick either point and use the x and y coordinates to fill in the point-slope form of a line, which is:
[tex]y-y_1=m(x-x_1)[/tex]
where y1 and x1 are the coordinates from the point we pick, and m is the slope we just solved for. It doesn't matter which point you pick to use as your x and y coordinates; either one will give you the exact same equation...PROMISE!!
I chose (-2, 3), no reason in particular. x1 is -2 and y1 is 3:
[tex]y-3=-2(x-(-2))[/tex] which simplifies a bit to
y - 3 = -2(x + 2) and a bit more to
y - 3 = -2x - 4 and even more to
y = -2x - 4 + 3 and finally to our final line in slope-intercept form:
y = -2x - 1
Choice a.
Which set of ordered pairs represents a function?
Answers
Answer:
i dont know what im looking at
Step-by-step explanation:
If the length of of one diagonal is of a rhombus of area is 96cm is 12cm,then what is the length of the other diagonal?
Answers
Given:
Area of rhombus = 96 cm
One diagonal = 12 cm
To find:
The other diagonal.
Solution:
We know that,
[tex]\text{Area of a rhombus}=\dfrac{1}{2}\times d_1\times d_2[/tex]
where, [tex]d_1\text{ and }d_2[/tex] are two diagonals of the rhombus.
Putting the given values, we get
[tex]96=\dfrac{1}{2}\times 12\times d_2[/tex]
[tex]96=6\times d_2[/tex]
Divide both sides by 6.
[tex]\dfrac{96}{6}=d_2[/tex]
[tex]16=d_2[/tex]
Therefore, the length of the other diagonal is 16 cm.
The scatter plot shows the amount of sleep Aria got the night before a test and her test scores. Use the y-intercept and the point (6, 80) from the line on the scatter plot. What is the equation of the trend line? Drag numbers to complete the equation. Numbers may be used once, more than once, or not at all.
Answers
Answer:
y= 3x+62
Step-by-step explanation:
Sasha can mow 6 acres of grass in 45 minutes. How many acres does Sasha mow per hour?
Answers
Answer:
I believe she can mow 7 or 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
45 minutes = 0.75 hours.
Sasha mows 6 acres/0.75hours or 6/0.75 acres/hour.
Sasha mows 8 acres/hour
Answer this question plz
Answers
Solve the following equation using the zero product property.
(x+8)(x+11)
Answers
Answer:
x=-8, x=-11
Steps
(x+8)(x+11)=0
Using the zero product property
x+8 =0 x+11 =0
X+8-8 =0-8 x+11-1 = 0-11
x = -8 x = -11
Please help me ASAP.
Answers
Answer:
AC is the hypotenuse (opposite right angle).
What are the roots of the quadratic function?
f(x) = (x – 8)(x – 4)
Answers
Answer:
x = 8
x = 4
Step-by-step explanation:
Which of the following options best describes the function graphed below?
O.Nonlinear increasing
O.Nonlinear decreasing
O.linear increasing
O.linear decreasing
Answers
The graph looks like it’s linear and is trending in an increasing way.
Which of the following values are solutions to the inequality 3 -
2x < -10?
I. – 2
II. 2.
III. 10
None
I only
Submit Answer
II only
III only
I and II
I and III
II and III
I. II and III
Answers
Answer:
None
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
2x < -10
Step 2: Solve for x
Divide 2 on both sides: x < -5Here we see that any value x smaller than -5 would work as a solution.
Step 3: Identify
Answer choices.
I. -2
II. 2
III. 10
We see that none of these numbers are less than -5. Therefore, non of the answer choices are correct.
i need help i dont understand this
Answers
Answer:
D
Step-by-step explanation:
Given the 2 equations
4x + 8y = 21 → (1)
y = - [tex]\frac{1}{2}[/tex] x + 3 → (2)
Substitute y = - [tex]\frac{1}{2}[/tex] x + 3 into (1)
4x + 8(- [tex]\frac{1}{2}[/tex] x + 3 ) = 21 ← distribute parenthesis on left side
4x - 4x + 24 = 21 ( subtract 24 from both sides )
0 = - 3 ← not possible
This indicates the system has no solutions
Last year ,Chesa made 32 one-cup servings of soup for a school party . This year, she will make two times the amount of the soup that she made last year. how many gallons of soup will Chesa make this year ?
Answers
Answer:
Chesa will make 4 gallons of soup this year.
Step-by-step explanation:
If you multiply 32 times 2 you will get 64. You then find out how many cups are in a gallon. If 16 cups are in a gallon, you then divide 64 by 16. Your answer should be 4.
Answer:
Chesa will make 4 gallons of soup this year.
Step-by-step explanation:
If x. 5x and 6x are the measures of the
angles of a triangle, find x. Is the triangle
acute, right or obtuse?
Answers
Answer:
x=15 and acute
Step-by-step explanation:
Find the slant height of the pyramid.
22.4 in.
16.8 in.
The slant height is
inches.
Answers
Answer:
The slant height is 28 inches
Step-by-step explanation:
The slant height of a pyramid
Given a square base pyramid of side 2a and height h, the slant height is calculated as follows:
[tex]s=\sqrt{a^2+h^2}[/tex]
The attached image shows the relationship between the lengths.
There is no specific information about the dimensions provided in the question, but I'm assuming this:
h = 22.4 in
a = 16.8 in
The slant height is:
[tex]s=\sqrt{16.8^2+22.4^2}[/tex]
[tex]s=\sqrt{784}[/tex]
s = 28 in
The slant height is 28 inches
what is -5 5/8 + 3 1/2
Answers
Answer:
-20.625
Step-by-step explanation:
Hope this helps :)
Answer:
−2 1/8 (Decimal: -2.125)
Step-by-step explanation:
33 1/3% of 360 please help I don’t understand
Answers
Answer:
33 1/3% of 360 is 120
Step-by-step explanation:
33 1/3 can be converted to 33.333% or simply just 1/3, divide 360 by 3 to get your answer which is 120.
Answer:
120
Step-by-step explanation:
Is function A linear or nonlinear
Is function B linear or nonlinear?
Answers
Answer:
Function A: Linear
Function B: Nonlinear
Step-by-step explanation:
1. When looking at tables, an easy way to tell if it's linear or not is to determine if the slope is the same between different coordinates.
Try (3,5) (6,10)
y2-y1/x2-x1
10-5/6-3
5/3
Now try (6,10) (9,15)
15-10/9-6
5/3
The slopes are the same, so this function is in fact linear.
2. For graphs, linear functions form a straight line. The line in this graph is clearly curved, so it is not linear.
3x^2-2x-3=0
A=?
B=?
C=?
Answers
Answer:
If you find it help full plz Brain-list the answer dear
Step-by-step explanation:
As given 3x^2-2x-3=0Also we know the general quadratic equation,
.Ax^2+Bx+C=0By comparing the coefficient of Both the equation we get
A=3 ,B=-2 and C=-3
will mark brainliest
ONE question with picture included! no need to do part c :)
Answers
Answer:
x + y = 24
16x + 20y = 434
x = 11.5
y = 12.5
Step-by-step explanation:
Part A:
x + y = 24
16x + 20y = 434
Part B:
simplify the second equation to find a "kind of answer" to a variable,
so we could simplify it to either y = 21.7 - 0.8x or x = 27.125 - 1.25y
in this case we will use y = 21.7 - 0.8x
substitute your new value of y into the first equation:
x + (21.7 - 0.8x) = 24
now, we can solve this to find the actual value of x: x = 11.5
so plug in your real x value to the simplified second equation (y = 21.7 - 0.8x)
you get y = 12.5
this tells you how many hours the machine spent on making each type of item
A hula hoop club bought new hula hoops. The state charges 6% sales tax. If the cost for one hula hoop was $17, what was the total cost the club paid per hula hoop?
Answers
Which of the following graphs shows a nonproportional linear relationship?
Answers
Is (-3,-5) a solution of the graphed inequality?
Answers
Answer:
no
Step-by-step explanation:
