the cube root parent function is reflected and stretched by four. it is translated six to the right and five down. write an equation that represents this new function

Answers

Answer 1

The equation for new function is,

⇒ f (x) = ∛( 1/4x - 6) - 5

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The parent function is,

⇒ g (x) = ∛x

Now, After  reflected and stretched by 4, we get;

⇒ g (x) = f (1/4x) = ∛ 1/4x

And, After translated 6 units to the right, we get;

⇒ g (x) = f (x - 6) = ∛ 1/4x - 6

And, After 5 unit down, we get;

⇒ g (x) = h (x) - 5 = ∛( 1/4x - 6) - 5

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Related Questions

How many permutations are there of all the letters in each name?

a) Inverary
b) Beamsville
c) Mattawa
d) Penetanguishene

Answers

Permutations for each word can be calculated by considering the number of unique letters in it and taking factorial of it.

a) Inverary: There are 8 letters in the name "Inverary" (I, N, V, E, R, A, R, Y), so there are 8! (8 factorial) permutations of all the letters in the name. This equals 40320 permutations.

b) Beamsville: There are 9 letters in the name "Beamsville" (B, E, A, M, S, V, I, L, E), so there are 9! (9 factorial) permutations of all the letters in the name. This equals 362880 permutations.

c) Mattawa: There are 7 letters in the name "Mattawa" (M, A, T, T, A, W, A), so there are 7! (7 factorial) permutations of all the letters in the name. This equals 5040 permutations.

d) Penetanguishene: There are 14 letters in the name "Penetanguishene" (P, E, N, E, T, A, N, G, U, I, S, H, E, N), so there are 14! (14 factorial) permutations of all the letters in the name. This equals 87178291200 permutations.

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Which expression is equivalent to 7(d - 4)?
Submit
7(-4+ d)
-4(d + 7)
(d + 7).-4
-28d + 7

Answers

The phrase that is identical to 7(d - 4) in option B is -4(d+ 7). A mathematical expression is a statement that contains a minimum of two numbers .

what is expression ?

A mathematical expression is a phrase having a minimum of two numbers or variables and at least one mathematical operation. This mathematical operation may be addition, subtraction, multiplication, or division. An expression's basic components are as follows: Expression is (Number/Variable, Math Operator, Number/Variable). A mathematical expression is a statement that contains a minimum of two numbers or variables and at least one mathematical operation. Let's learn how to write expressions. A number is 6 more than half of another number, and that other number is called x. In a mathematical expression, this statement is represented as x/2 + 6.

given

The correct response is 4 less than 7, since 4 is less than 7.

Thus, 7-4=3 could be considered.

The first section of 7–4 appears to be answer B.

The phrase that is identical to 7(d - 4) in option B is -4(d+ 7).

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At 10:00 a.m. two planes leave an airport. if the northbound plane flies at 280 mph and the southbound at 320 mph, at what time will they be 1,000 miles apart? which equation can be used to solve for t, the time it takes the planes to be 1,000 miles apart?

Answers

280t + 320t = 1,000 is distance equation can be used to solve for t, the time it takes the planes to be 1,000 miles apart.

What does distance mean in a nutshell?

Distance is the overall movement of an object without consideration of direction.

                      Regardless of an object's starting or ending point, distance can be defined as the amount of ground it has traveled.

At 10:00 a.m. two planes leave an airport. If the northbound plane flies at 280 mph and the southbound at 320 mph

Let 't' be the time taken when they are 1000 miles apart

the northbound plane flies at 280 mph

Distance  = speed * time

distance covered by northbound plane D1= 280 * t= 280t

the southbound at 320 mph

distance covered by southbound plane D2=320 t

Distance is 1000 miles apart

D1 + D2= 1000

280t + 320t = 1,000

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11. - a? - 2bc - Icl
if a = -2, b = 3,
and c = -3
problem in the photo
algebra

Answers

Answer:

11

Step-by-step explanation:

remember that the absolute value function always gives a positive value, that is

| - a | = | a | = a

substitute the given values into the expression

- a² - 2bc - | c |

= - (- 2)² - 2(3)(- 3) - | - 3 |

= - (4) - 2(- 9) - | 3 |

= - 4 + 18 - 3

= 14 - 3

= 11


surface area of this triangle

Answers

On solving the provided question we can say that - area of the given triangle will be A = 60 cm sq.

What is triangle?

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here,

B = 8cm

H = 15 cm

A = 1/2 BH = 1/2 X 8 X 15 = 60cm sq.

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An investment portfolio is shown below.


Investment Amount Invested ROR
Stock A $1,800 1.5%
Stock B $4,600 3.7%
Stock C $580 11.2%
Stock D $1,122 −2.8%


Using technology, calculate the weighted dollar amount of Stock C.
$27.00
$64.96
$170.20
$184.00

Answers

The required weight of the dollar amount of Stock C is $64.96.

The Correct option is (B).

What is simplification?

In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.

Given:

Investment Amount Invested ROR

Stock A     $1,800     1.5%

Stock B     $4,600     3.7%

Stock C     $580        11.2%

Stock D     $1,122      −2.8%

According to the question,

Weight of dollar amount of Stock C

= 580 × 11.2%

= 580 x 0.112

= $64.96

Hence, the required weight is $64.96.

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The population for Rainbow City is 36,000. The growth rate is 3%. About how many people will it have after 5 years

Answers

Answer:

41,500 people

Step-by-step explanation:

First you find 3% of 36,000= 1,080

Then you do 1080 x 5= 4,500

Then finally do 36,000 + 4,500= 41,500

Pleas help me with #2, thanks

Answers

A. 6 miles
B. An hour and a half
C. 12 MPH
D. Half an hour
E. About 3 hours and 15 minutes

Please provide an explanation

Answers

If [tex]$\mathrm{x} \neq 3$[/tex], the expression [tex]$\frac{2 x^3+7 x^2-3 x-25}{x+3}$[/tex] is equivalent to [tex]$2 x^2+x-6-\frac{7}{x+3}$$[/tex].

What is meant by expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used.

A mathematical sentence with variables, numbers, or both is known as an expression. Operation can also be a part of an expression, although an equal sign is never present in an operation. A mathematical expression that demonstrates the equality of two expressions is called an equation. There is a sign of equality in equations.

An expression in mathematics is made up of a mixture of variables, numbers, and functions (such as addition, subtraction, multiplication or division etc.) In some ways, phrases and expressions are comparable.

Let the equation be

[tex]$\frac{2 x^3+7 x^2-3 x-25}{x+3}[/tex]

simplifying the equation, we get

[tex]$& \text { Divide } \frac{2 x^3+7 x^2-3 x-25}{x+3}=2 x^2+\frac{x^2-3 x-25}{x+3} \\[/tex]

[tex]$& =2 x^2+\frac{x^2-3 x-25}{x+3}[/tex]

[tex]$& \text { Divide } \frac{x^2-3 x-25}{x+3}=x+\frac{-6 x-25}{x+3} \\[/tex]

[tex]$ =2 x^2+x+\frac{-6 x-25}{x+3}[/tex]

Divide [tex]$\frac{-6 x-25}{x+3}=-6+\frac{-7}{x+3}$[/tex]

[tex]$=2 x^2+x-6+\frac{-7}{x+3}$$[/tex]

Simplifying the equation, we get

[tex]$=2 x^2+x-6-\frac{7}{x+3}$$[/tex]

Therefore, the correct answer is option 1) [tex]$2 x^2+x-6-\frac{7}{x+3}$$[/tex].

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The red line on this graph is y=-2x-1
The dotted line is y=x.
Write the equation of the inverse of this function

Answers

Answer:

Step-by-step explanation:

•50 POINTS• don’t explain
-A
-B
-C

Answers

Answer:

C. Neither

------------------------------------

There is no indication that the given triangles are congruent.

We can see one angle of each triangle is marked as congruent and that is is. No more evidences of congruence and therefore we state the triangles are not congruent.

This is a choice C.

Colleen and Amy go shopping. The function below represents how much money each girl spent based on the number of hours they were shopping. If Colleen and Amy each go shopping for 3 hours, how much money did they spend together?
p(x)3x^4=x^4-3x^2+5
$32
$86
$248
$302

Answers

Answer:

$302

Step-by-step explanation:

p(x) 3x^4 = x^4-3x^2+5

We put 3 in for x and solve

3(3)^4 = 3^4 -3(3)^2 + 5

3(81) = 81 -3(9) + 5

243 = 81 - 27 + 5

243 = 59

Then we add 243 with 59 and get

$243 + $59 = $302

So, they spend together $302

If you can, please give me a Brainliest; thank you!

Help with these questions pls

Answers

The description of isometry and transformations is as follows,

isometry mean A distance-preserving transformation between metric spaces is known as isometry, congruence, or congruent transformation.

What is transformations?

The transformation, or f, is a function that maps to itself: X  X. Following the transformation, the pre-image X transforms into the image X. Any or all of the operations like translation, rotation, reflection, and dilation can be used in this transformation. A function is translated by moving it in a particular direction, rotated by spinning it about a point, reflection by reflecting the function, and dilation by scaling it.

Isometry: If two distinct points, a and b, were to be mapped to the same point, then the coincidence axiom of the metric d would be violated. This proof is similar to the proof that an order embedding exists between partially ordered sets. Clearly, a topological embedding exists for each and every isometry between metric spaces.

A bijective isometry is a global isometry, isometric isomorphism, or congruence mapping. A global isometry, like any other bijection, has a function inverse. A global isometry is also the inverse of a global isometry.

Types of transformations;

Transformation of Reflection: The term "reflection" refers to the kind of transformation that takes place when every point in the shape is reflected over a line. The image is on the opposite side of the line from the pre-image but at the same distance from the line when the points are reflected over it. An image point (q,p) is reflected from each point (p,q).

Transformation of Rotation: Rotation is the transformation that rotates each point of the shape by a predetermined number of degrees around that point. When the number of degrees is positive, the shape rotates counterclockwise, and when the number of degrees is negative, the shape rotates clockwise.

Transformation of Translation:  Sliding occurs when a 2-d shape is translated. Let's look at how the vertices of the blue and red figures are positioned in relation to one another in order to describe their relative positions. By comparing its position to the positions of A, B, and C, we must determine their positions.

Hence the basic description of transformation is as follows.

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SOME ONE HELP PLSSSS

which number line represents all of the values of x for the equation x2=100?

(picture below)

Answers

The correct answer is option A.) “-10 and 10.”

To find the values equivalent to that of x^2 = 100, we need to identify the square root of 100. The only number that can be multiplied by itself to give us a product of 100 is 10, so 10 is the square root; however, a negative • a negative always equals a positive. This means where 10 • 10 = 100, -10 • -10 also equals 100.

Hence, option A is the answer.

Solve the quadratic by factoring. 3x^{2}+7=-8x+3 3x 2 +7=−8x+3

Answers

The roots of the given quadratic equation are x = -2/3 and x = -2.

What is a quadratic equation?

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is a quadratic equation as follows -

3x² + 7 = - 8x + 3

The given quadratic equations are -

3x² + 7 = - 8x + 3

3x² + 8x = 3 - 7

3x² + 8x + 4 = 0

(x + 2/3)(x + 2) = 0

(x + 2/3) = 0   and   (x + 2) = 0

x = -2/3   and   x = -2    

Therefore, the roots of the given quadratic equation are x = -2/3 and x = -2.

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What is the answer of 2 by 7 and 3 by 5?

Answers

The answer of 2/7 + 3/5 is a fraction. The answer is 31/ 35.

To add two fractions, the denominators must be the same, in this case, the denominators are different, so we need to find a common denominator to add these two fractions.

A common denominator for 2/7 and 3/5 is 35.

So we can convert both fractions to have 35 as the denominator,

2/7 becomes (2×5)/(7×5) = 10/35

3/5 becomes (3×7)/(5×7) = 21/35

then we can add the numerators:

10/35 + 21/35 = 31/35

so the final answer is 31/35

This is also the simplest form of this fraction which would be 31/35.

--The question is not clear, answering to the question below--

"What is the answer of 2/7 + 3/5?"

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For each linear relationship determine the y intercept write an ordered pair and explain its meaning
A: Ailee has a Gift card to a coffee shop worth $20 each drink she purchases using the gift card costs $4.25

B: Duncan begins to hike a trail that is an elevation of 1000 feet as he hikes his elevation increases 2000 feet each hour he hikes

Please help!!!

Answers

Answer: For the linear relationship in A, the y-intercept is the point where the line crosses the y-axis. This point represents the starting balance on Ailee's gift card before she makes any purchases.

The y-intercept of this linear relationship is the point (0, 20), which represents the fact that Ailee's gift card has a starting balance of $20 before she makes any purchases.

For the linear relationship in B, the y-intercept is the point where the line crosses the y-axis. This point represents Duncan's starting elevation before he begins to hike.

The y-intercept of this linear relationship is the point (0, 1000), which represents the fact that Duncan starts his hike at an elevation of 1000 feet.

Step-by-step explanation:

Jose has $34 to spend at the Texas State Fair. If the entrance ticket costs $12, then how much money does jose have to spend on food and games?

ONE-STEP EQUATIONS APPLICATION II 6TH MATH
WITH EQUATION!

Answers

Answer:

22

Step-by-step explanation:

34-12=22 you just basically subtract 34 and 12 and it gives you 22 but theres the equation too

34-12=22

Jose has 22$ to spend on food and games

Slope = -7; (4, -30) step by step​

Answers

Answer:

the equation of the line is y = -7x - 2.

Step-by-step explanation:

To find the equation of the line with slope -7 that passes through the point (4, -30), we can use the point-slope form of a line.

The point-slope form of a line is:

y - y1 = m(x - x1)

where:

(x1, y1) is a point on the line

m is the slope of the line

Substituting the given values, we get:

y - (-30) = (-7)(x - 4)

Expanding the right side, we get:

y + 30 = -7x + 28

Combining like terms, we get:

y = -7x - 2

So the equation of the line is y = -7x - 2.

Name a pair of vertical angles and a pair of adjacent angles in each figure.

Answers

On solving the provided question we cans ay thatVertical Angles: TZU, XZW Adjacent Angles: TZU, UZV are Vertical angle and adjacent angle.

What is Vertical angle and adjacent angle,?

Vertical angles are two angles that share the same vertex and are formed by two intersecting lines. They are congruent (i.e. have the same measure) and are opposite each other

Adjacent angles are two angles that share a common vertex and side, but do not overlap. They are also called "next to" or "sharing an arm" angles.

Fig 1:

Vertical Angles: NMJ, LMK

Adjacent Angles: NMJ, JMK

Fig 2:

Vertical Angles: DEA, CEB

Adjacent Angles: DEA, AEB

Fig 3:

Vertical Angles: LQM, PQN

Adjacent Angles: LQM, MQN

Fig 4:

Vertical Angles: TZU, XZW

Adjacent Angles: TZU, UZV

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solve for x and graph the solution on the number line below 7+x<16

Answers

Step-by-step explanation:

x<16-7x<11

.....................

Which table shows a proportional relationship between x and y?

Answers

Answer:

C

Step-by-step explanation:

Put in the form y/x and you should have equivalent fraction

12/4 = 3

15/5 = 3

18/6 = 3

When the fractions are simplified, they all equal 3.

what is 2.8 repeating as adecimal

Answers

If you mean 2.8888888888...
Let 2.888888888... = X
Then 10X = 28.888888888888....
10X - X = 9X = 28.8888888888... - 2.88888888888... = 26
So X = 26/9
Hope this is what you were asking for.

Find the value of x.
2x-8
6

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent.

[tex]6=2x-8 \\ \\ 2x=14 \\ \\ x=7[/tex]

Which shows that the set of irrational numbers under addition is not closed?
3+3
π + π
π +3
3π + (−3π)

Answers

The option that shows that the set of irrational numbers under addition is not closed is B. π + π.

What is an irrational number?

All real numbers that are not rational numbers are referred to as irrational numbers in mathematics. In other words, it is impossible to express an irrational number as the ratio of two integers. The collection of real numbers known as irrational numbers, where p and q are integers, are those that cannot be expressed as fractions, such as p/q.

The example of "π + π" shows that the set of irrational numbers under addition is not closed, because the result of adding two irrational numbers (π + π) is an irrational number (2π) which is not included in the set of irrational numbers.

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Eight packages of paper weigh a total of 38 pounds. What is the weight of 40 packages of the same kind of paper?​

Answers

Answer:

1,520 pounds

Step-by-step explanation:

40x 38 = 1520

Factor each polynomial completely.
a. 5a²c - 3a²d + 5b²c-3b²d
b. x^2n+ 6x^n +9

Answers

Answers
A = (a^2 + b^2) (5c - 3d)
B = (x^n + 3)^2

Explanation for A:
1. Factor out a^2 from (5a^2c - 3a^2d). This should look like a^2 (5c - 3d).

2. Factor out b^2 from (5b^2c - 3b^d). This should look like b^2 (5c - 3d).

3. Now multiply a^2 (5c - 3d) with b^2 (5c - 3d), by factoring out (5c - 3d) and writing a^2 + b^2 in parentheses like (a^2 + b^2) (5c - 3d)

Explanation for B:
1. Factor out x^n for x^2n + 6x^n, which should look like x^n (x^n + 6).

2. Write 9 as 3^2. The equation should look like x^n (x^n + 6) + 3^2. You can notice that the equation can be factored like (x^n + 3)^2 since you can get 6x^n by
(x^n + 3) multiples by 2, x^2n by squaring if, and 9 by squaring 3.

50 points + brainliest PLS HELP ME ASAP. All I need is a right answer and a clear solution. Ty in advance! :)
(anyone who gives absurd answers will be reported right away) ​

Answers

Dimensions of the parallelogram are:

Base is b = 2 ft, Side is a = 5 ft, Height is h = 4 ft.

Its perimeter is:

P = 2(2 + 5) = 2(7) = 14 ft

Its area is:

A = bh = 2*4 = 8 ft²

When the scale factor is 2

Perimeter is 2 times greater:

P = 2*14 = 28 ft

Area is 2*2 = 4 times greater:

A = 4*8 = 32 ft²

When the scale factor is 3

Perimeter is 3 times greater:

P = 3*14 = 42 ft

Area is 3*3 = 9 times greater:

A = 9*8 = 72 ft²

When the scale factor is 1/2

Perimeter is 2 times smaller:

P = 14/2 = 7 ft

Area is 2*2 = 4 times smaller:

A = 8/4 = 2 ft²

Which statement correctly describes this picture?

Answers

Answer is option D.

Because there, TY is show as a ray with one end point only. And PR is a lone segment.

how do i do this qution

Answers

y = -1/2x is the equation of example of the direct variation.

What is polynomia?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.

Given four linear equations in them we need to state which equation is an example of direct variation.

The direct variation equation has the form y = kx, where k is the constant proportionality. It is a linear equation with two variables. In a coordinate plane, the direct variation graph is a straight line. A constant is the ratio of two quantities that vary directly. Or in other words, the direct variation equation always passes through the origin point of a cartesian plane or (0, 0).

Therefore, in the given options y = -12/x is the only equation that is an example of direct variation.

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