Cash outflows and decreases in cash are reported as negative amounts in the operating activities section of the statement of cash flows for Peach Computer using the indirect method.
How to prepare the operating activities section of the statement of cash flows for Peach Computer using the indirect method?The operating activities section of the statement of cash flows for Peach Computer using the indirect method would include the following cash inflows and outflows:
Cash inflows:
Sales revenue from the sale of computersCash received from customers for computer repairs and servicesInterest received on loans or investmentsCash outflows:
Payments to suppliers for inventory purchasesPayments to employees for salaries and wagesPayments for operating expenses such as rent, utilities, and advertisingPayments of income taxesPayments of interest on loansPayments to creditors for accounts payableAny decrease in cash would be represented as negative amounts in this section.
It's important to note that the specific amounts and details would vary based on Peach Computer's individual financial transactions and operations. The operating activities section provides a summary of the cash inflows and outflows directly related to the company's core business operations during the specified period.
Learn more about revenue
brainly.com/question/8645356
#SPJ11
The graph shows a line and two similar triangles.
What is the equation of the line?
A. Y=3/2x
B. Y=2/3x
C. Y=3x
D. Y=2x
Answer:
a y=3/2× Pls help me do me one
a
Find the equation of the line written in slope intercept form that goes through the point (-9, 1/2) with a slope of 1/2, use x as the independent variable
Answer:
y=1/2x+5
Step-by-step explanation:
What we have so far is y=1/2x+?
We need to find the y-intercept. Using the info we have right now we can find the y-intercept with this.
y=mx+b
(1/2)=(1/2)(-9)+b
0.5 =-4.5+b
5=b
y=1/2x+5
Find two positive even consecutive integers such that one less than the square of the smaller integer is three more than the four times the larger integer.
Please help ASAP
The answer to the question is that the numbers 6 and 8 are positive even sequential integers.
Is the integer 3 an even number?Consecutive numbers are those that follow one another continually, from lowest to largest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.
The answer provided below has been developed in a clear step by step manner. Let the the two positive even consecutive integers be 2n and (2n+2) According to the question the one less than the square of the smaller integer is given as
\(2n^2-1\)
\(4n^2-1\)
Here the positive consecutive integers are 2n and 2n+2 because for any value of n if it is multiplied by 2 then it becomes positive and further on adding 2 it remains even.
Now the three more than the four times the the larger number is given as
4(2n+2)+3
8n+8+3
8n+11
\(4n^2-1\) = 4(2n+2)+3
\(4n^2-1\) = 8n+8+3
\(4n^2-1\) = 8n+11 +1
\(4n^2-8n-12\) = 0
\(n^2-2n-3\) = 0
Now solving the given quadratic equation to get the positive value of n
Please refer to solution in this step.
Therefore the value of n is given as
n = +2 ± \(\sqrt{4-((4 )(1)-(3))}\)/2
2 ±\(\sqrt{16/2}\)
1 ±2
the positive smaller integer is
2n= 2(1+2)
2n=6
and the positive greater integer is
2n+2 = 8
Hence the positive even consecutive integers are 6 and 8 .
To know more about Consecutive integers visit :
https://brainly.com/question/1767889
#SPJ1
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
(08.06A)
The graph below shows the relationship between the number of months different students practiced boxing and the number of matches they won
Part A: what is the approximate y-interest of the line of best fit and what does it represent.?
Part B: write the equation for the line of best fit in the slope intercept form and use it to predict the number of matches that could be won after 13 months of practice.
show work!!
PLEASE HELPPPP
Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
Let's first understand what is meant by the term "moderator.
"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.
Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.
So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
To know more about values visit :
https://brainly.com/question/30145972
#SPJ11
What is the length of a side of rhombus jklm? 4 units 8 units 12 units 16 units
The length of the sides of the rhombus JKLM is 12 units.
A rhombus is one of parallelograms. The opposite sides of a rhombus are parallel, and the opposite angles are equal. Furthermore, all of the sides of a rhombus are the same length, and the diagonals intersect at right angles.
In the problem, the sides of rhombus JKLM are:
JK = 2x + 4
JM = 3x
Since the length all of the sides of a rhombus are the same, then:
JM = JK
3x = 2x + 4
Substract both sides by 2x:
3x - 2x = 2x + 4 - 2x
x = 4
To find the length of a side, substitute x = 4 into:
JM = 3x
JM = 3(4) = 12
Hence, the length of the sides of the given rhombus is 12.
The picture in your question is missing. Most likely it was like on the attached picture.
Learn more about rhombus here:
https://brainly.com/question/26154016
#SPJ4
Answer:
12
Step-by-step explanation:
JK = JM
2x + 4 = 3x
x = 4
JK = JM = 3 x 4 = 12
a cattle rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure below). there are 510 feet of fencing available to complete the job. what is the largest possible total area of the four pens?
The largest area of the rectangle is 6502.5 square feet.
Given that,
Using fence parallel to one of the rectangle's sides, a cattle rancher wants to surround a rectangular area and divide it into four pens (see the figure below). To finish the task, 510 feet of fencing are available.
We have to find what could the four pens' combined total area be.
We know that,
The rectangular shape's length is l and its width is b.
Total fencing= 2l + 5b=510 feet
2l +5b =510 feet
We can write as,
l=1/2(510-5b)
Total area of the rectangle is length into breath
A(b) = l × b
A(b) = 1/2(510-5b)×b
A(b)= 1/2(510b -5b²)
For maximum area
A'(b)=0
1/2(510b -5(2b))=0
b=51
We get l as
l = 1/2(510-5b)
l = 1/2(510-5(51))
l = 127.5
Total area of the rectangle is 127.5 × 51
Total area of the rectangle is 6502.5 square feet.
Therefore, The largest area of the rectangle is 6502.5 square feet.
To learn more about rectangle visit: https://brainly.com/question/15019502
#SPJ4
What is the surface area?
10 cm
10 cm
9 cm
square centimeters
The Surface area of a cuboid with length 10 cm breadth 10 cm and height 9 cm is 560 cm².
What is the surface area?A cuboid is a three-dimensional figure bounded by six rectangular planes, having a different magnitude of length, width and height. If you look around and you can see a box, brick or anything in the shape of a rectangle, it could be cuboid.Here, length of cuboid is 10 cm
breadth of cuboid is 10 cm
and height of cuboid is 9 cm
Surface Area of Cuboid = 2 (lb + bh + lh)
= 2 (10X10 + 10X9 + 10X9)
= 2 (100 + 90 + 90)
= 2 X 280
Surface Area of Cuboid = 560 cm²
Thus, the Surface area of a cuboid with length 10 cm breadth 10 cm and height 9 cm is 560 cm².
Learn more about Surface area of cuboid from :
https://brainly.com/question/26403859
#SPJ1
5. [15] Use Lagrange multipliers to find the minimum value of the function \( f(x, y, z)=x^{2}-4 x+y^{2}-6 y+z^{2}-2 z+5 \), subject to the constraint \( x+y+z=3 . \)
The minimum value of the function using Legrange equations is m = -2
Given data:
To find the minimum value of the function f(x, y, z) = x² - 4x + y² - 6y + z² - 2z + 5, subject to the constraint x + y + z = 3, we can use Lagrange multipliers.
Let's define the Lagrangian function L as:
L(x, y, z, λ) = f(x, y, z) - λ(g(x, y, z))
where g(x, y, z) represents the constraint equation x + y + z = 3.
So, we have:
L(x, y, z, λ) = x² - 4x + y² - 6y + z² - 2z + 5 - λ(x + y + z - 3)
To find the minimum, we need to find the critical points of L by taking the partial derivatives with respect to x, y, z, and λ, and setting them equal to zero:
∂L/∂x = 2x - 4 - λ = 0 (1)
∂L/∂y = 2y - 6 - λ = 0 (2)
∂L/∂z = 2z - 2 - λ = 0 (3)
∂L/∂λ = x + y + z - 3 = 0 (4)
From equation (1), we have:
2x - 4 - λ = 0
2x = λ + 4
x = (λ + 4)/2
From equation (2), we have:
2y - 6 - λ = 0
2y = λ + 6
y = (λ + 6)/2
From equation (3), we have:
2z - 2 - λ = 0
2z = λ + 2
z = (λ + 2)/2
Substituting these values into equation (4), we have:
(λ + 4)/2 + (λ + 6)/2 + (λ + 2)/2 - 3 = 0
λ + 4 + λ + 6 + λ + 2 - 6 = 0
3λ + 6 = 0
λ = -2
Now, substituting λ = -2 back into the equations for x, y, and z:
x = (-2 + 4)/2 = 1
y = (-2 + 6)/2 = 2
z = (-2 + 2)/2 = 0
So, we have found the critical point (x, y, z) = (1, 2, 0) which satisfies the constraint equation x + y + z = 3.
Therefore, we conclude that the critical point (1, 2, 0) gives a minimum value for the function f(x, y, z) subject to the constraint x + y + z = 3.
Hence, the minimum value of the function is f(1, 2, 0) = (1)² - 4(1) + (2)² - 6(2) + (0)² - 2(0) + 5 = -2.
To learn more about Legrange multipliers click :
https://brainly.com/question/32544889
#SPJ4
the maximum value of 3/5sinx-12cosx+19
Answer:
Step-by-step explanation:
The given trigonometric expression is :
11 cos^2 x +3 sin^2 x+6sinx cosx +5
or, we can write it as,
(9 cos^2 x + 2 cos^2 x) + (2 sin^2 x + sin^2 x) + 6sinx cosx +5
Again, after rearranging the terms, we can write the whole expression as,
(9 cos^2 x + sin^2 x + 6sinx cosx) + (2 cos^2 x + 2 sin^2 x) + 5
Then if you factor the following underlined section as you would with a polynomial:
(9 cos^2 x + sin^2 x + 6sinx cosx) + (2 cos^2 x + 2 sin^2 x) + 5
You get:
(3 cos x + sin x)^2 + 2 (cos^2 x + sin ^2 x) + 5
Now, the term inside the second bracket (cos^2 x + sin ^2 x) is a very popular trigonometric identity and it's value is equal to one.
So, now the whole expression becomes,
(3 cos x + sin x)^2 +7
Now, the maximum and the minimum value of the whole expression depends upon the maximum and the minimum value of the term (3 cos x + sin x), which is of the form (a cosx + b sinx),
The maximum and minimum value of (a cosx + b sinx) is relatively easy to find.
So, I've attached a screenshot from a relevant document below:
Here, a=3 and b=1,
So, R= √10
As the value of cosine of any angle lies between -1 to 1, so the value of the value of expression cos(x − α) will lie between -1 to 1.
Hence, the maximum and the minimum value of (a cosx + b sinx) will be -R and R and all the values of the expression will lie between them.
i.e., in our case between (-√10) to √10.
Again, coming back to our original expression,
(3 cos x + sin x)^2 +7
The value of the term in bracket will lie between (-√10) and √10.
But, there is a catch here, as the squares of negative terms come out be positive, hence we can't take the negative term to find the minimum value of our expression. the minimum value of the expression will be at the minimum non-negative value in the range, which is zero.
So, the minimum value will be,
(0)^2 + 7=7
and the maximum value will be,
(√10)^2 +7 = 17
I WILL GIVE BRAINLIEST! Rectangle A is a rectangle with area 24. Rectangle B is a scaled copy of Rectangle A with a scale factor of 2. What is the area of Rectangle B?
Answer:
12
Step-by-step explanation:
24/2=12
Which is the most popular shoe brand is it Experimental or Observational
Answer:
hear is ur answer....
Step-by-step explanation:
Observation market research is a technique which involves directly observing consumers or another target audience in their natural environment - for instance, watching how shoppers stop outside a fashion retailer, what they are drawn to in a window display and which direction they go after entering the store.
What is 48/54 in its lowest form?
Step-by-step explanation:
we have to simplify it as much a possible.
that means we divide top and bottom by the same whole number, until we cannot find any other number except for 1, where there is no remainder for these divisions.
so, usually if we don't see the solution right away, we go along the prime numbers starting with 2 :
can we divide 48 and 54 by 2 without remainder ?
yes, and the result is then
24/27
can we divide 24 and 27 by 2 without remainder ?
no. going to the next prime number : 3
can we divide 24 and 27 by 3 without remainder ?
yes, and the result is
8/9
can we divide 8 and 9 by 3 without remainder ?
no. and there is no other prime number I can divide both numbers with.
so, 8/9 is the lowest or simplest form.
If x and 2x-15 represent the measure of the acute angles of a right triangle, find the value of x.
In a right triangle, the measure of acute angles is represented by x and 2x -15 then the value of x is equal to 35.
As given in the question,
In a right triangle,
One of the angle is of measure 90°.
Other two angles are acute angles.
Measure of two acute angles are given as x and 2x -15.
Sum of the three angles in a triangle is 180°.
x + 2x -15 + 90° = 180°
⇒3x +75° = 180°
⇒ 3x = 105°
⇒ x = 35°
Therefore, in a right triangle, the measure of acute angles is represented by x and 2x -15 then the value of x is equal to 35.
Learn more about right triangle here
brainly.com/question/20541777
#SPJ1
Kedwin can watch movies at home in two ways. He can order unlimited online movies for $10 a month. He could also go to the local movie rental store and rent 5 movies for $4.00. The system representing this scenario is graphed below.
How many movies does Kedwin need to rent each month to make the online option a better deal?
a. 10 movies per month
b. 10.40 movies per month
c. 12.5 movies per month
d. 13 movies per month
Answer:
I believe the answer is D.)13 movies per month.
Step-by-step explanation:
Answer:
D. 13 movies per month.
Step-by-step explanation:
what is 3,393 divided by 13
Answer:
261
I hope this helps!
I need help !!!PLEASE
Answer:
answer
volume= 252 yd^3 .
Fiona’s TV screen is 20 inches long. The diagonal measures 25 inches. How long is the width of Fiona's TV??
The width of Fiona's TV will be 15 inches.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
Fiona’s TV screen is 20 inches long.
And, The diagonal measures 25 inches.
Now,
Since, Fiona’s TV screen is 20 inches long.
And, The diagonal measures 25 inches.
Let the width of the Fiona's TV = x
So, By definition of Pythagoras theorem we get;
⇒ 25² = 20² + x²
Solve for x as;
⇒ 625 = 400 + x²
⇒ x² = 625 - 400
⇒ x² = 225
⇒ x = √225
⇒ x = 15 inches
Thus, The width of Fiona's TV = 15 inches
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
#SPJ1
Finding Missing Angles and Sides and Round to the nearest tenth.
(FOR ALL PLEASE)
The right triangle, like the other triangles, has three sides, three vertices, and three angles. The difference between the other triangles and the right triangle is that the right triangle has a 90 angle.
To find missing angles and sides and round to the nearest tenth, you can use different methods depending on the given information and the type of triangle or shape involved.
Some common methods include:
Trigonometric ratios (sine, cosine, tangent) for right triangles.
Angle sum property or exterior angle property for triangles.
Pythagorean theorem for right triangles.
Law of cosines and law of sines for non-right triangles.
To help find the missing angles and sides of a triangle, you need certain information about the triangle, such as known angle and side measurements, or information about the properties of the triangle.
Without this information, no concrete calculations can be made.
Provide the necessary information or describe the problem in more detail and we will help you find the missing corners and sides of the triangle and round it to tenths.
Remember to always check if any additional information is given, such as side lengths or angles ' 7 and to apply the appropriate formula or property to find the missing value.
Round your answer to the nearest tenth as specified.
For more related questions on right triangle:
https://brainly.com/question/2773823
#SPJ8
Refer to the vectors m through t at the right Name all groups of vectors that appear to be equal Choose the correct answer below OA, mand p, n and r OB, m,o' p and qin, r, and s O C. n and r, m, p, and t O D. m and p: p and q; m and q n and r; n and s; s and r Click to select your answer Save for Later /171717-17171717-1/1/1/1/17:ハハハハハハハハハハハハハハー 米 19 8 5 6
Vectors that appear to be equal is OB, m, o', p and qin, r, and s.
Let's discuss it further below.
In this question, vectors m through t are given in the figure. There are eight vectors: m, n, o, o', p, q, r, and s. The question asks to identify the groups of vectors that appear to be equal.
From the given figure, we can see that m and o' are parallel to each other and are of the same length. Thus, they are equal to each other. Also, vectors p and q are parallel to each other and are of the same length. So, they are equal to each other. Thus, we can conclude that m, o', p, and q are equal to each other.
Then, vectors n and r are parallel to each other and are of the same length. Thus, they are equal to each other. Also, vectors r and s are parallel to each other and are of the same length. So, they are equal to each other. Thus, we can conclude that n and r and s and r are equal to each other.
Therefore, the groups of vectors that appear to be equal are OB, m, o', p and qin, r, and s.
Learn more about Vectors.
brainly.com/question/29740341
#SPJ11
Help me pleaseeeeee!!
Answer:
A
Step-by-step explanation:
You put $10,000 in a mutual fund, with the current value being at $10,500. What is the
gain/loss, and the ROI?*
it's gain because 10,500 is bigger than 10,000
A watercolor painting is 20 inches long by 10 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 2 inches to each side of the length and the width. What is the area of the mat?
Answer:
62 sq in is the area of the mat
Step-by-step explanation:
the area of the mat = total area added minus the original area of the water color painting.
length of the mat is:L = 20 in + 1 in + 1 in because 1 in is added to each sideL = 22 inwidth of the mat is:w = 9 in + 1 in + 1inw = 11 in
Area mat = (22 in x 11 in) - ( 20 in x 9 in)
area mat = 62 sq in is the area of the mat
Branily?:)
PLZ I REALLY NEED HELP Find the values of x and y in parallelogram PQRS
15. PT=x+2, TR=y, QT=2x, TS=y+3
PLZ ANSWER ASAP DUE IN 30 MINS I WILL BE AWARDING 20 POINTS AND BRAINLIEST ANSWER TO whoever CAN SOLVE THIS
Answer:
x = 5 and y = 7
Step-by-step explanation:
Given that,
PT = x+2, TR=y, QT=2x, TS=y+3
We need to find the value of x and y.
The diagonal of a parallelogram bisect each other. It means,
PT = TR and QT = TS
ATQ,
y = x+2 ...(1)
and
y+3 = 2x ....(2)
Subtracting equation (1) and (2).
y-(y+3) = x+2-2x
y-y-3 = 2-x
-3 = 2-x
x = 2+3
x = 5
Put the value of x in equation (1).
y = 5 + 2
y = 7
Hence, the values of x and y are x = 5 and y = 7.
Answer:
^ they are correct
Step-by-step explanation:
need answer now please
The expression which are equals to 6⁻¹⁰ are as follow,
option A. (1 /6² )⁵ , Option b. 6⁻³ / 6⁷ , Option ( 6⁻⁵ )².
The expression is equal to,
6⁻¹⁰
Simplify all the given options to find the equivalent expression to 6⁻¹⁰.
(1 /6² )⁵
Apply law of exponent here,
= ( 1 / 6¹⁰)
= 6⁻¹⁰
Option A. is correct answer.
6⁻³ / 6⁷
Apply law of exponent we get,
= 6⁻³⁻⁷
= 6⁻¹⁰
Option B. is correct answer.
( 6⁵ × 6⁻³ )/ 6⁻⁸
= 6⁵⁻³⁺⁸
= 6¹⁰
It is not the correct answer.
( 6⁻⁵ )²
Apply law of exponent here
= 6⁻¹⁰
Option D. is the correct answer.
6⁻⁵ × 6²
= 6⁻³
It is not correct option.
Therefore, the expression equivalent to the given expression are option A. (1 /6² )⁵ , Option b. 6⁻³ / 6⁷ , Option ( 6⁻⁵ )².
learn more about expression here
brainly.com/question/14083225
#SPJ1
work out the y^3 + 5y when y = 2
Step-by-step explanation:
y³ + 5y
2³ + 5 × 2
8 + 10
18...
Hi!
\(\diamondsuit\) Plug in 2 for y:
\(\boldsymbol{2^3+5(2)}\)
\(\diamondsuit\) Cube 2 first:
\(\boldsymbol{8+5(2)}\)
\(\diamondsuit\) Multiply 5 times 2 next:
\(\boldsymbol{8+10}\)
\(\diamondsuit\) Add.
\(\boldsymbol{18}\)
Therefore,
\(\stackrel{\heartsuit}{\boxed{\boxed{\boldsymbol{Answer:~~18}}}}\)
Cheers!!I hope I helped, have an amazing rest of your day!
If you need any explanation or clarification - comment! :)
Two balloonists, Jim and Chris, are in separate balloons. Jim's balloon is 10 m above the ground and rising at 15 m per minute. Chris's balloon is at 30 m above the ground and rising at 10 m per minute. Write an equation in the form y=mx+b for each balloon's movement, where y is the height, in metres, and x is the time, in minutes.
Answer:
See below
Step-by-step explanation:
Jim
10 m starting point and speed is 15 m/min:
y = 15x + 10Chris
30 m starting point and speed is 10 m/min
y = 10x + 30Solve the system of linear equations
{x + y + 2z - w = -2 {3y + z + 2w = = 2 {x + y + 3w = 2 {-3x + z + 2w = 5
The given system of linear equations consists of four equations with four variables: x, y, z, and w. To solve the system, we can use various methods, such as Gaussian elimination or matrix operations.
By performing row operations, we can reduce the system to its row-echelon form or solve it directly to find the values of x, y, z, and w. We will solve the system of linear equations using the method of Gaussian elimination. The augmented matrix representation of the system is:
[1 1 2 -1 | -2]
[0 3 1 2 | 2]
[1 1 0 3 | 2]
[-3 0 1 2 | 5]
First, we'll perform row operations to transform the matrix into the row-echelon form:
R2 = R2 - 3R1
R3 = R3 - R1
R4 = R4 + 3R1
The resulting matrix after these operations is:
[1 1 2 -1 | -2]
[0 0 -5 5 | 8]
[0 0 -2 4 | 4]
[0 3 1 2 | 5]
Next, we'll perform additional row operations to further simplify the matrix:
R4 = R4 - 3R2
The matrix now becomes:
[1 1 2 -1 | -2]
[0 0 -5 5 | 8]
[0 0 -2 4 | 4]
[0 3 1 2 | -19]
Finally, we'll perform the last row operation:
R3 = R3 + 2R2
The matrix is now in row-echelon form:
[1 1 2 -1 | -2]
[0 0 -5 5 | 8]
[0 0 0 14 | 20]
[0 3 1 2 | -19]
From this row-echelon form, we can solve for the variables. Starting from the bottom row, we obtain:
3w + z + 2w = -19, which simplifies to 5w + z = -19.
Next, we have 0x + 0y - 5z + 5w = 8, which simplifies to -5z + 5w = 8.
Lastly, x + y + 2z - w = -2.
At this point, we have three equations with three variables: x, y, and z. By solving this simplified system, we can find the values of x, y, and z.
Learn more about variables here:- brainly.com/question/15078630
#SPJ11
Ava graphs the function h(x) = x2 4. victor graphs the function g(x) = (x 4)2. which statements are true regarding the two graphs? select three options.
Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:
The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).
The vertex represents the minimum or maximum point of the parabola.
The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\) term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)
The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)
On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)
It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.
The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.
For similar question on functions.
https://brainly.com/question/29631554
#SPJ8