The graph of the function g(x) is a transformation of the parent function f(x)=x2 .
Which equation describes the function g?
g(x)=(x−3)2
g(x)=x2−3
g(x)=x2+3
g(x)=(x+3)2
Answers
The graph has remained intact, only skipped over 3 to The left, which, in standard form is:
[tex] {(x - h)}^{2} [/tex]
where h is the spot where it transforms to,
thus moving to (-3, 0) from (0, 0), thereby making the new vertex at x = -3, therefore h = -3, and resultantly:
[tex] {(x - - 3)}^{2} = {(x + 3)}^{2} \\ y = {(x + 3)}^{2} [/tex]
Related Questions
At noon, ship a is 30 nautical miles due west of ship
b. ship a is sailing west at 23 knots and ship b is sailing north at 17 knots. how fast (in knots) is the distance between the ships changing at 4 pm?
Answers
.. d = √((30 +23t)² +(17t)²)
.. = √(818t² +1380t +900)
The rate of change of distance with respect to time is
.. d' = (1/2)(2*818*t +1380)/√(818t² +1380t +900)
.. = (818t +690)/√(818t² +1380t +900)
At t=4, this is
.. d' = (818*4 +690)/√(818*16 +1380*4 +900)
.. = 3962/√19508
.. ≈ 28.37 . . . . . knots
The distance between the ships is increasing at about 28.37 knots at 4 pm.
The rate at which the distance between the two ships is changing is approximately 18.86 knots at 4pm.
Explanation:To find the rate at which the distance between the two ships is changing, we can use the concept of relative velocity. Let's consider ship A as the reference point. The velocity of ship A relative to the Earth is given as 23 knots due west, and the velocity of ship B relative to the Earth is given as 17 knots due north. The velocity of ship B relative to ship A can be found by subtracting the velocities.
Using the Pythagorean theorem, we can find the magnitude of the velocity of ship B relative to ship A. This magnitude represents the rate at which the distance between the ships is changing. Therefore, at 4 pm, the distance between the ships is changing at a rate of approximately 18.86 knots.
Find an equation for the contour of f(x,y)=2x2y+7x+20f(x,y)=2x2y+7x+20 that goes through the point (3,−2)(3,−2).
Answers
.. f(x, y) = f(3, -2)
.. 2x^2y +7x +20 = 2*3^2*(-2) +7*3 +20
2x^2*y +7x +20 = 5
A contour at height c have [tex]\mathbf{f(x, y) = c}[/tex] as its equation
The equation of the contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]
The given parameters are:
[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]
[tex]\mathbf{(x,y) = (3,-2)}[/tex]
Recall that:
[tex]\mathbf{f(x, y) = c}[/tex]
Substitute [tex]\mathbf{(x,y) = (3,-2)}[/tex] in f(x,y)
[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]
[tex]\mathbf{f(3,-2) = 2 \times 3^2 \times -2 + 7 \times 3 + 20}[/tex]
Evaluate exponents
[tex]\mathbf{f(3,-2) = 2 \times 9 \times -2 + 7 \times 3 + 20}[/tex]
Evaluate the products
[tex]\mathbf{f(3,-2) = -36 + 21 + 20}[/tex]
[tex]\mathbf{f(3,-2) = 5}[/tex]
Replace 3 and -2, with x and y
[tex]\mathbf{f(x,y) = 5}[/tex]
Substitute 5 for f(x,y) in [tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]
[tex]\mathbf{2x^2y + 7x + 20 = 5}[/tex]
Collect like terms
[tex]\mathbf{2x^2y + 7x + 20 - 5 = 0}[/tex]
[tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]
Hence, the equation of contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]
Read more about equations of parabola at:
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What will it cost to carpet a rectangular floor measuring 21 feet by 24 feet if the carpet costs $ 31.96 per square yard?
Answers
21 becomes 7, and 24 becomes 8. 7/8 = 56 yards squared.
Multiplied by $31.96, the total comes out to $1789.76.
Convert the following decimal to a common fraction. Reduce to lowest terms 0.2 =
Answers
When finding the lowest terms of a fraction, you want to find the highest number that can go into both numbers, or greatest common factor (GCF), of both the numerator and the denominator. In this case, the greatest common factor would be 2, since it can go into both 2 and 10 without any remainders.
2 can go into 2 once, and into 10 five times, making the reduced term 1/5.
I hope I could help! Feel free to reach out if you need any more help with conversions and reductions.
Use the appropriate property of determinants to find
a.a. do not evaluate the determinants.
Answers
The query is about applying properties of determinants to find a determinant without evaluating it. This involves using properties such as linearity, the effect of elemental operations, and the determinant of a product. The instructions also involve using simplified subscripts and omitting them if they are one.
Explanation:Properties of determinants are often used to simplify the process of determinant calculation without actually evaluating the determinant. In this particular scenario, to find a given determinant using the appropriate property, one must consider the properties such as linearity with regards to rows or columns, the determinant of a product, and the effect of elemental operations such as switching or scaling rows or columns. Remember, if you apply a transformation that changes the determinant's value, you need to account for that change. For instance, if you multiply a row by a scalar, the determinant is also multiplied by that scalar. If you switch two rows, the sign of the determinant is flipped.
When simplifying subscripts in the final formula, you should follow the instructions explicitly: use the simplified subscript and omit the subscript if it is one, as these rules can affect the determinants in certain cases involving submatrices or cofactors. Keep these guidelines in mind when you are working with determinants, although it appears that this particular question might be incomplete and does not specify the determinant to be simplified.
Question 30 Unsaved
What is the net force acting on a golf car traveling at a constant speed of 5 mph?
0 N
10 N
5 N
15 N
Answers
So likely your answer going to be c.
Please make me brainliest.
each side of a square shaped room is 7 ft long what is the rooms area
Answers
A square has four sides, and they have the same length. We must use a formula to calculate the area of a square. The formula is:
A = s^2
It's just the sides squared.
Each side is 7 feet long.
Substitute:
A = 7^2
A = 49
ANSWER:
The area of the room is 49 ft squared.
*Put a small 2 at the end of "ft" to indicate that it is squared!
A guy wire is stretched from the top of a tower to a point 10 yards from the base of the tower. The wire makes an angle of 65° with the ground. Draw a diagram and find the length of the guy wire. 4.2 yd. 11.0 yd. 23.7 yd.
Answers
The length of the wire will be given by:
cos θ = (adjacent)/(hypotenuse)
thus
cos 65=10/h
h=10/cos 65
h=23.66 yds~23.7 yds
the answer is 23.7 yd
Answer:
23.7 yards
Step-by-step explanation:
Given :A guy wire is stretched from the top of a tower to a point 10 yards from the base of the tower. The wire makes an angle of 65° with the ground
To Find: Draw a diagram and find the length of the guy wire
Solution :
Refer the attached figure
We are given that A guy wire is stretched from the top of a tower to a point 10 yards from the base of the tower i.e. AC = 10 yards
We are also given that wire makes an angle of 65° with the ground i.e. ∠BAC = 65°
Now to find the length of the guy wire i.e. AB
We will use trigonometric ratio.
[tex]cos\theta = \frac{Base}{Hypotenuse}[/tex]
[tex]cos 65 ^{\circ} = \frac{AC}{AB}[/tex]
[tex]0.4226= \frac{10}{AB}[/tex]
[tex]AB= \frac{10}{0.4226}[/tex]
[tex]AB= 23.66[/tex]
Thus AB = 23.66 yards ≈ 23.7 yards
Hence the length of the guy wire is 23.7 yards
Is this triangle a right triangle?
Answers
2^2 = 4
3^2 = 9
4^2 = 16
9+4 = 13
13 does not = 16
[tex] {x}^{2} = {2}^{2} + {3}^{2} \\ {x}^{2} = 4 + 9 = 13 \\ x = \sqrt{13} [/tex]
it's not a right triangle
Corporate bonds from Hyren Airlines are selling at 106.133, bonds from Xyx Motors are selling at 97.701, and bonds from Ergar Appliances are selling at 101.294. If all of the bonds mentioned have a par value of $1,000 apiece, how much will it cost George to purchase one from each corporation? a. $3,051.28 b. $3,000.00 c. $3,305.12 d. $2,694.88
Answers
Hyren Airlines - 106.133
Xyx Motors - 97.701
Ergar Appliances - 101.294
Par Value - $1,000 a piece
Hyren Airlines: 1,000 * 106.133 = 106,133
Xyx Motors: 1,000 * 97.701 = 97,701
Ergar Appliances: 1,000 * 101.294 = 101,294
Total 305,128
305,128 / 100 = 3,051.28
George will spend $3,051.28 to purchase one bond from each corporation.
Answer:
A IS YOUR ANSWER DONT EVEN BOTHER TO DOUBLE CHECK ON EGDE
Step-by-step explanation:
THANK YOU PLEASE LIKE
A stock had returns of 11 percent, -18 percent, -21 percent, 20 percent, and 34 percent over the past five years. what is the standard deviation of these returns?
a. 18.74 percent
b. 20.21 percent
c. 20.68 percent
d. 24.01 percent
e. 23.49 percent
Answers
The standard deviation of the returns is 21.5 percent.
Explanation:To calculate the standard deviation of the returns, we need to follow these steps:
Calculate the mean of the returnsSubtract the mean from each return to find the deviationsSquare the deviationsCalculate the mean of the squared deviationsTake the square root of the mean of the squared deviationsLet's perform these steps:
The mean of the returns is (11 - 18 - 21 + 20 + 34) / 5 = 5.2 percentThe deviations are (11 - 5.2) = 5.8, (-18 - 5.2) = -23.2, (-21 - 5.2) = -26.2, (20 - 5.2) = 14.8, (34 - 5.2) = 28.8 percentThe squared deviations are 33.64, 538.24, 685.44, 219.04, 829.44 percent squaredThe mean of the squared deviations is (33.64 + 538.24 + 685.44 + 219.04 + 829.44) / 5 = 461.96 percent squaredThe square root of the mean of the squared deviations is sqrt(461.96) = 21.5 percentTherefore, the standard deviation of the returns is 21.5 percent.
The walking distance from the Empire State Building in New York City to Times Square is about 9/10 mile. The walking distance from the Empire State Building into sues hotel is 8 times as far
Answers
what I did was multiply 9 and 8 to get 72/10 and turned the improper fraction into a mixed number to get 7 2/10
Answer: Walking distance is [tex]7\frac{2}{10}\ miles[/tex]
Step-by-step explanation:
Since we have given that
Walking distance from the Empire State Building in New York City to Times Square = [tex]\frac{9}{10}\ mile[/tex]
According to question, the walking distance from the Empire State Building into Sues Hotel is 8 times as far.
So, Walking distance from the Empire State Building into Sues Hotel is given by
[tex]8\times \frac{9}{10}\\\\=\frac{72}{10}\\\\=7\frac{2}{10}\ miles[/tex]
Hence, Walking distance is [tex]7\frac{2}{10}\ miles[/tex]
6 students share 4 bagels equally. How many pieces does each person get? (p.s thanks to everyone who answers)
Answers
You would get 1 and a half bagel for each person
6/4 = 1 1/2 or 1.5
Solution:
we are given that
6 students share 4 bagels equally.
we have been asked to find that
How many pieces does each person get?
Here we will have to use the concept of division. Because we are dividing bagels among the students.
So To get the number of pieces each will get divide 6 by 4.
Number of Pieces for each boys [tex] =\frac{6}{4}=\frac{3}{2}=1\frac{1}{2} \\ [/tex]
CAN SOMEONE HELP (AND HELP ME UNDERSTAND)
Answers
Now, consider what happens when Z falls on top of tangent point Y. The angle is still half the measure of arc XY, still 62°.
Selection C is appropriate.
_____
I apologize for any confusion caused by my choice of Z as the name of the point I added. Nothing in my explanation is intended to refer to the Z already shown in the unmodified figure.
Breanna sold 1,200 Of Clothes At The dress shop and earned a commission of $210. What is her commission percent?
Answers
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1200&100\\ 210&x \end{array}\implies \cfrac{1200}{210}=\cfrac{100}{x}\implies x=\cfrac{210\cdot 100}{1200}[/tex]
Chris bought n packs of pencils. Each pack has 10 pencils. Write an equation to represent the total number of pencils p that Chris bought.
Answers
p = number of pencils
equation: p = 10n
P= total packs
Total packs equals pencils per pack times number of packs.
EQUATION:
P= 10x
Hope this helps! :)
Is 2 , -5 a solution to this system equation 2x + 5y = -19, 6y - 8x = -54 .? Justify your answer
Answers
So for 2x + 5y = -19,
2(2) + 5(-5) = -19
4 - 25 = -19
-21 ≠ -19.
You can continue and try it out for 6y - 8x = -54
6(-5) - 8(2) = -54
-30 - 16 = -54
-46 ≠ -54
But since (2, -5) already doesn't work for one equation, it cannot be a solution to the system of equations.
Which is a counterexample to this conjecture? The sum of any two consecutive integers is a composite number. A. 16 + 17 = 33 B. 10 + 11 = 21 C. 6 + 7 = 13 D. 7 + 8 = 15
Answers
This is because 33, 21, and 15 are composite numbers, and 13 is not.
Final answer:
The sum of two consecutive integers being composite is disproved by the example 7 + 8 = 15, which is prime.
Explanation:
Counterexample: The sum of any two consecutive integers being a composite number is disproved by the example: 7 + 8 = 15, which is a prime number and not composite.
Explanation: A composite number is a positive integer that has more than two distinct positive divisors. In the case of 7 + 8 = 15, 15 only has divisors 1 and 15, making it a prime number, not composite.
Understanding Conjectures: Counterexamples are essential in mathematics to disprove conjectures by showing cases where the given rule or statement does not hold true.
A farmer has harvested 60% of his crops. If he has harvested 72 acres, how many acres does the farmer have in all?
Answers
Answer:
120 Acres
Step-by-step explanation:
We want to find the total amount of acres that a farmer has given that we know how many acres are in a percentage of his farm.
The farmer has 120 acres in total.
We know that the 60% of the farmer crops is equivalent to 72 acres.
Now we want to find the 100%.
Then we write two equations:
100% = X
60% = 72 acres
Now we want to solve this for X.
To do it, we first take the quotient between the two equations:
100%/60% = X/(72 acres)
Now we solve this for X:
(100%/60%)*(72 acres) = X = 120 acres.
The farmer has 120 acres in total.
If you want to learn more, you can read:
https://brainly.com/question/17409120
what is the solution of the equation sqrt 5x-7 = sqrt 3x+5 ?
Answers
x=6 loves because it just does
Explain what equivalent fractions are and give an example.
Answers
Example:
1/2 and 2/4 are equivalent fractions because they are both equal to 0.5.
Hope this helps! Have a great day! :)
The annual interest rate on a loan is 10% which can be represented using the expression 1.10t. Write an expression that represents the quarterly interest rate.
Answers
annual rate=10%
quarterly rate=10/4=2.5%=0.025
given time t, this will be represented as :
(1+0.025)t
=1.025t
if the numbers 1 2 3 4 5 are to be used in a five number code how many different codes are possible if reputitions are not permitted
Answers
there is a possibility of 120 codes. <<<< answer.
Help with this math question please
Answers
Interest rate = r = 7.25% = 0.0725
Time in years = t = 8 years
Amount accumulated = A
Formula for compound interest is:
[tex]A=P e^{rt} [/tex]
Using the given values, we get:
[tex]A=4100 e^{0.0725*8}=7322.76 [/tex]
Rounding of to nearest hundredth, the balance in the account after 8 years will be $7322.76
a loan of $940 was repaid at the end of 12 months with a check of $960 What annual rate of interest was changed
Answers
960÷11,280= 0.085 and that is the answer.
Jack is learning to play piano. He knows that a piano has 88 keys and that there are 12 unique keys in each group called octave. How many complete octaves are on a piano?
Answers
Answer:
7 octaves
Step-by-step explanation:
Total number of keys in piano = 88 keys
Numbers of keys in each group called octave= 12 unique keys
We have to find the number of complete octaves on piano
Number of octaves consists of 12 keys= [tex]\frac{Total number of keys}{12}[/tex]
Number of octaves consists of 12 keys= [tex]\frac{88}{12}[/tex]
Number of octaves consists of 12 keys= 7 octaves
Hence, the correct answer is 7 octaves
Consider the quadratic equation y^2-y=6. What is the error with the solution below?
Answers
y^2-y-6=0 => y^2-3y+2y-6=0 => y(y-3)+ 2(y-3)=0 => (y-3) (y+2)=0
y-3=0 or y+2=0 => y=3 or y= -2
Check 1: 3^2 - 3 = 6 => 9-3=6 => 6=6 Identity prove solution
Check 2: (-2)^2 - (-2) =6 => 4+2=6 => 6=6 Identity prove solution
Good luck!!!!
The error in the given solution to the quadratic equation y²-y=6 is identified and corrected step by step.
In the given quadratic equation y²-y=6, the mistake in the solution provided is the incorrect manipulation of the equation. To find the correct solution, follow these steps:
Re-write the equation as y² - y - 6 = 0.
Factor the quadratic equation as (y - 3)(y + 2) = 0.
Solve for y by setting each factor to zero: y = 3 or y = -2.
simplify -1/2x+3-4x+5+3/2x
Answers
A rectangular kitchen floor measures 18 feet by 15 feet. A stove on the floor has a rectangular base measuring 3 feet by 4 feet, and a refrigerator covers a rectangular area of the floor measuring 4 feet by 5 feet. How many square feet of tile will be needed to cover the kitchen floor not counting the area used by the stove and the refrigerator?
Answers
Refrigerator area = 20 square feet
Entire kitchen floor = 270 square feet
12 + 20 = 32 square feet
270 square feet - 32 square feet = 238 square feet
238 square feet will be needed
Number of square feet of tile will be needed to cover the kitchen floor is 238 square feet.
Given that, a rectangular kitchen floor measures 18 feet by 15 feet.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Area of a rectangular kitchen floor
= 18×15
= 270 square feet
Area covered by a stove
= 3×4
= 12 square feet
Area covered by a refrigerator
= 4×5
= 20 square feet
Area covered by tiles
= 270-(12+20)
= 270-32
= 238 square feet
Therefore, number of square feet of tile will be needed to cover the kitchen floor is 238 square feet.
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Marco drew 24 pictures he drew 1/6 of them in art class how many pictures did marco draw in art class
Answers
If he drew 1/6 of them ⇒ he drew 1/6 of the 24
1/6 of 24 =1/6 x 24 = 4
So he drew 4 of them.
24 × 1/6 = 24/6 = 4
Marco drew 4 pictures in art class.
Hope this helps!