elect the correct answer.
which direction must the graph of f(x) = 2* be shifted to produce the graph of g(x) = 2(x+8)
OA. left
OB. right
O C.
down
OD.

Answer:

x = 1

Step-by-step explanation:

To solve an equation for a variable, we need to isolate (get the variable alone on one side)

(the order of the following was determined by PEMDAS)

5x + 5 = 5 (10 ÷ 5)   [simplify inside parentheses]

5x + 5 = 5 (2)

5x + 5 = 10

     - 5    -5             [subtract 5 from both sides to isolate x]

5x = 5

÷5    ÷5     [divide both sides to get x]

x = 1

hope this helps!!

Answer:

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

A relation is a function if each value of x maps onto no more than one value of y.

The domain of the function is:

D: {x ∈ R | x ≥ -6}

Here we have:

[tex]f(x) = \sqrt{(1/3)*x + 2}[/tex]

Remember that the argument of a square root can be only numbers equal to or larger than zero, so the domain of that function is such that:

[tex](1/3)*x + 2 \geq 0[/tex]

Now we can solve that for x.

[tex](1/3)*x + 2 \geq 0\\(1/3)*x \geq -2\\\\x \geq -2*(3/1)\\\\x \geq -6[/tex]

So the domain of the function is:

D: {x ∈ R | x ≥ -6}

If you want to learn more about domains:

https://brainly.com/question/1770447

#SPJ1

Answer:

The domain of the function is:

D: {x ∈ R | x ≥ -6}

The polynomial is given by f(x) = 9(4x − 3)² (3x - 1) .

A polynomial is an expression that consists of indeterminate , Coefficients , exponents and mathematical operations.

It is given that

The zero of the function is at 3/4 with multiplicity of 2 = (x - 3/4)²

The zero of the function is at 1/3 with multiplicity of 1 = (x - 1/3)

The polynomial can be written as

f(x) = a (4x − 3)² (3x - 1)

-81 = a (0 − 3)² (0 -1)

a = 9

f(x) = 9(4x − 3)² (3x - 1)

Therefore the polynomial is given by f(x) = 9(4x − 3)² (3x - 1) .

To know more about Polynomial

https://brainly.com/question/11536910

#SPJ1

Opposite values are those values which on the number line has the same distance between them and zero. The temperature in each city is PoT=-PhT and PhT =+PoT.

Opposite values are those values which on the number line has the same distance between them and zero. Although the sign on the values may be difference. For example if the first value is 4, then its opposite value is -4.

In general, the temperature equation for Portland, Maine is stated mathematically as

PoT=-PhT

As it is given in the question that the Portland, Maine and Phoenix, Arizona had opposite values. Also, the temperature in Portland is lower than in Phoenix. Therefore, the temperature in each city can be written as,

PoT=-PhT

PhT =+PoT

Hence, the temperature in each city is PoT=-PhT and PhT =+PoT.

Learn more about the Opposite Values:

https://brainly.com/question/780403

#SPJ1

Answer:

The area of a triangle is 1/2 × base × height. 24 = 1/2 × 12 × height. Therefore height = 24/6 = 4 .

Answer:

8

Step-by-step explanation:

24=6*h/2

48=6*h

8=h

h is altitude

The area of the wheel is  31415.9 ft².

The Central angle in degrees is 34.29°

Measure of a central angle in radians is 0.5984 radians

A) The image shows an example of this Ferris wheel.

We are given;

Diameter; d = 200 ft

Radius; r = 100 ft

Number of gondolas = 42

Area of the circle wheel = πr²

Area = π * 100²

Area = 31415.9 ft²

B) Now, the sum of angles in a circle is 360°.

Since there are 42 gondola's, then;

Each angle = 360/42 = 60/7°

The central angle will be an angle with its vertex at the center of a circle and with sides that are radii of the circle. From the image, we see that it covers approximately 4 gondola's. Thus;

Central angle = 4 * 60/7° = 34.29°

C) Central Angle in radians will be converted as 0.5984 rad.

D) Arc length between two gondolas is;

S = rθ

S = 100 * 0.5984

S = 59.84 radians

Read more about area and central angle at; https://brainly.com/question/12299316

#SPJ1

Here you go! please make sure you read it all too understand it, and make sure you try work before asking for help :D Have a awesome day/night

Answer:735

Step-by-step explanation:I was hoping you’d have another. Dv/dt=d/dt((7+5t)^3)=3x5x((7+5t)^2)=15x49. Does this work?

The monthly payment is; $104.9; The total amount paid over the term of the loan is; $31470

We are given;

Loan principal = $12,500

Interest rate = 12%

Number of payments per year = 12 payments per year.

Loan term = 25 years.

Formula for monthly payment is;

PMT = (p * APR/n)/[1 - (1 + APR/n)^(-nY)]

Where;

p is principal

APR is interest rate

n is number of payments per year

Y is loan term

Thus;

PMT = (12500 * 0.09/12)/[1 - (1 + 0.09/12)^(-12 * 25)]

PMT = 93.75/(1 - 0.106288)

PMT = $104.9

B) Total amount paid over the loan term is;

A = PMT * m * n

where;

m is number of months in a year,

n is number of years

A = 104.9 * 12 * 25

A = $31470

C) The principal as a percentage of the loan is;

P/A = 12500/31470

P/A = 39.72%

Percentage paid for interest is = 100% - 39.72% = 80.28%

Read more about APR at; https://brainly.com/question/24703884

#SPJ1

The length of the chord AB will be 6.08 cm

A chord of a circle is a section of a straight line whose ends both fall on an arc of a circle. A secant line, often known as secant, is a chord's infinite line extension. A chord is, more broadly speaking, a line segment connecting two points on any curve, such as an ellipse.

Given two concentric circles have radii 7cm and 4cm respectively. PQ, a chord to the larger circle, is 13cm

We have to find the length of chord AB drawn to smaller circle

Given:

PQ = 13 cm

R = 7 cm

r = 4 cm

The formula to find length of chord is as follow:

Length of chord = 2 x √(R²-d²)

Where,

R = radius of circle

D = Perpendicular distance from center of circle to chord

So,

PQ = 2 x √(R²-d²)

13 = 2 x √(7²-d²)

d = 2.59 cm

Now,

AB = 2 x √(r²-d²)

AB = 2 x √(4²-2.59²)

AB = 6.08 cm

Hence the length of chord AB will be 6.08 cm

Learn more about chord here:

https://brainly.com/question/13950364

#SPJ10

Answer:

1)   k = -3

2)   B.  The curve would be narrower, but the vertex would be in the same position.

Step-by-step explanation:

Transformations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Question 1

When a graph is shifted up or down we add or subtract the number of units it has shifted from the function.

From inspection of the graph, the vertex of function j(x) is (0, 2)

From inspection of the graph, the vertex of function j(x) + k is (0, -1)

Therefore, function j(x) has been translated 3 units down.

Therefore, the value of k is -3, since the function of the graph is j(x) -3

Question 2

When discussing the stretching of curves, it is usual to always refer to it as a "stretch" rather than a stretch or compression.  

If the scale factor a is 0 < a < 1 then the graph gets wider.  

If the scale factor a is a > 1 then the graph gets narrower (i.e. "compressed").

h(x) to h(2x) means that the function h(x) has been stretched horizontally by a factor of 1/2.  The other way to say this is that is have been compressed horizontally by a factor of 2.  In any case, as a > 1 the graph gets narrower.

Therefore, the vertex would stay in the same place but the curve would be narrower.

Step-by-step explanation:

hope you can understand

tell me your the greatest but once you turn they hate us

Option B. x-8 = 40-2x is the correct equation for the opposite angle theorem.

According to the Opposite angles theorem,

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

[tex]= > x-8=40-2x[/tex] ( : Because opposite vertex angles are equal)

So option B is correct in the given question

Learn more about opposite angle theorem on:

https://brainly.ph/question/26594949

#SPJ10

Answer:

D.) 3y-15 =85+

Step-by-step explanation:

simply put, opposite angles theorem is where the angles are on the opposite side so the parallelogram in the photo shows that 3y-15 is on the opposite angle as 85+y (I also got this one right lol)

Answer:

it should be option A

and in option there should be "x" instead of "*"

Equation of circle is,

⇒ (x + 1)² + (y - 2)² = 9

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle below is centered at the point (-1, 2) and has a radius of length 3.

Now, We get;

The equation of circle is,

⇒ (x - (- 1))² + (y- 2)² = 3²

⇒ (x + 1)² + (y - 2)² = 9

Thus, Equation of circle is,

⇒ (x + 1)² + (y - 2)² = 9

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ5

Answer: B(1, 3) and D(1, −2)

Step-by-step explanation:

The distance from A to C is 5, meaning we need the length to be 4.

If they lie to the right, we need to add 4 to the x coordinates, so the x coordinates should be 1, and the y coordinates should be 3 and -2.

The locations of B and D are given by (A) B(1,3) and D(1,-2).

The area of rectangle is given by the product of the length and width of that rectangle.

Area = Length*Width

Distance between two points (a,b) and (c,d) is given by,

[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Here in the given question it is mentioned that AC forms width of a rectangle and A is at (-3,3) and C is at (-3,-2)

Now the width is [tex]=\sqrt{(-3-(-3))^2+(-2-3)^2}=\sqrt{0^2+(-5)^2}=\sqrt{25}=5[/tex] unit.

Also it is given that, the area of the rectangle is 20 square units.

So the length is = 20/5 = 4 units

B and D lie to the right of points A and C respectively.

We have to go 4 units right to the A to find B and 4 units right to C to find D.

A is at (-3,3)

then B is at (-3+4,3) = (1,3)

C is at (-3,-2)

So D is at (-3+4,-2) = (1,-2)

Hence correct option is (A) B(1,3) and D(1,-2)

Learn more about Rectangle here -

https://brainly.com/question/25292087

#SPJ10

Answer:

29/60

Step-by-step explanation:

probability of playing is 290/600 which when simplified is29/60

The Z- score representing the 99th percentile is given by 2.33

Problems of commonly distributed samples can be solved using the z-score formula.

For a set with a standard deviation, the z-score scale X is provided by:

Z = ( x- mean )/ standard deviation

Z-score measures how many standard deviations are derived from the description. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the scale is less than X, that is, the X percentage. Subtract 1 with p-value, we get the chance that the average value is greater than X.

To Find the z-result corresponding to P99, 99 percent of the normal distribution curve.

This is the Z value where X has a p-value of 0.99. This is between 2.32 and 2.33, so the answer is Z = 2.33

For more information regarding normal distribution, visit https://brainly.com/question/12691636

#SPJ10

Answer:

Step-by-step explanationp :

ph =lo 4

Answer:

-4 x³+2x²-5x+3x²

combine like terms

-4x³ +5x²-5x

common factors

-1(4x³-5x²+5x)

find one factors

Ans: -x (4x²-5x+5)

Despite not being a part of the function graph, a vertical asymptote is a vertical line that serves as a guide f (x) = 3csc4x.

The denominator of the function, n(x), is the place where vertical asymptotes can be located.

If the numerator, t(x), is not zero for the same value of x, then the vertical asymptotes can be determined by solving the equation n(x) = 0 where n(x) is the denominator.

f (x) = 3csc4x.

Periodicity of 3csc(4x) : π / 2

Domain of  3csc(4x) :

Solution : π  / 2 n<x < π  / 4 + π  / 2 n or π /4 + π  / 2 n< x < π /2 + π /2 n

Interval Notation : ( π / 2 n,π /4 + π /2)n) ∪ (π / 4 + π /2 n, π  / 2 + π /2 n)

Range of  3csc(4x) :

Solution : f(x) ≤ -3 or f(x) ≥ 3

Interval notation : ( - ∝ , -3 ) ∪ (3,∝)

Axis interception points of 3csc(4x) :  None

Asymptotes of 3csc(4x) :  vertical: x = π / 2 n, x = π / 4 + π/2 n

extreme points of 3csc(4x) :

Minimum (π /8 + π / 2 n,3 ),

Maximum ( 3π / 8 + π/2n, -3).

To Learn more About vertical asymptote refer To:

https://brainly.com/question/26124207

#SPJ1

Despite not being a part of the function graph, a vertical asymptote is a vertical line that serves as a guide f (x) = 3csc4x.

The denominator of the function, n(x), is the place where vertical asymptotes can be located.

If the numerator, t(x), is not zero for the same value of x, then the vertical asymptotes can be determined by solving the equation n(x) = 0 where n(x) is the denominator.

f (x) = 3csc4x.

Periodicity of 3csc(4x) : π / 2

Domain of  3csc(4x) :

Solution : π  / 2 n<x < π  / 4 + π  / 2 n or π /4 + π  / 2 n< x < π /2 + π /2 n

Interval Notation : ( π / 2 n,π /4 + π /2)n) ∪ (π / 4 + π /2 n, π  / 2 + π /2 n)

Range of  3csc(4x) :

Solution : f(x) ≤ -3 or f(x) ≥ 3

Interval notation : ( - ∝ , -3 ) ∪ (3,∝)

Axis interception points of 3csc(4x) :  None

Asymptotes of 3csc(4x) :  vertical: x = π / 2 n, x = π / 4 + π/2 n

extreme points of 3csc(4x) :

Minimum (π /8 + π / 2 n,3 ),

Maximum ( 3π / 8 + π/2n, -3).

To Learn more About vertical asymptote refer To:

brainly.com/question/26124207

#SPJ1

The question can't be solved because we can't have negative sign under square root

Answer:

 -5 +6i

Step-by-step explanation:

Square roots of negative numbers are imaginary. This is asking for the difference of two complex numbers. A suitable calculator can show you what that is.

__

We know that √(-1) ≜ i. This means the radicals can be simplified to ...

  [tex]\sqrt{-81}=\sqrt{9^2(-1)}=9\sqrt{-1}=9i\\\\\sqrt{-9}=\sqrt{3^2(-1)}=3\sqrt{-1}=3i[/tex]

So the expression becomes ...

  (4 +9i) -(9 +3i)

Like terms can be combined in the usual way. For the purpose here, i can be treated as though it were a variable.

  (4 +9i) -(9 +3i) = 4 +9i -9 -3i

  = (4 -9) +(9 -3)i

  = -5 +6i

The asymptotes of the graph of [tex]f(x) = \frac{5}{x - 1}[/tex] are as follows:

In this problem, the function is:

[tex]f(x) = \frac{5}{x - 1}[/tex]

For the vertical asymptote, we have that:

[tex]x - 1 = 0 \rightarrow x = 1[/tex].

For the horizontal asymptote, we have that:

[tex]y = \lim_{x \rightarrow \infty} f(x) = \frac{5}{\infty - 1} = 0[/tex].

More can be learned about asymptotes at https://brainly.com/question/16948935

#SPJ1

Step-by-step explanation:

this is quite easy, when you use just common sense and identify the right numbers and variable names.

they is nothing special needed, you don't even need to create the equations yourself.

$4.99 per pound. buys b pounds and pays $14.95.

14.95 = 4.99 × b

$4.99 per pound. buys b pounds and pays c.

this is exactly the same as before, just that this time the total amount is not given as a constant but as a variable.

c = 4.99 × b

d dollars per pound. buys b pounds and pays t.

the same as the 2 cases before, just now everything is a variable. no more constants, but otherwise the completely same structure and method.

t = d × b

earned $275, which is $45 more than Noah ("n").

$275 = n + $45

earned m dollars, which is $45 more than Noah ("n").

m = n + $45

earned m dollars, which is y dollars more than Noah (we are asked that Noah's earnings are now called "v").

here your teacher made a mistake.

sure, the only remaining answer is

v = m + y

but it is not correct. given the names of the prime and associated variables the correct answer would be

m = v + y or v = m - y

Answer:

l

Step-by-step explanation:

Answer:

Lines L and n are parallel

Explanation -

In the question it is given that angle 7 and angle 5 are supplementary.

which means that sum of this angle is 180°

so line L and n are parallel

Based on the calculations, the area of the whole sector is equal to 4,508 cm².

Given the following data:

Mathematically, the area of a sector can be calculated by using this formula:

Area of sector = θr²/2

Where:

Substituting the given parameters into the formula, we have;

Area of sector = 46 × 14²/2

Area of sector = 46 × 196/2

Area of sector = 9016/2

Area of sector = 4,508 cm².

Read more on radius here: brainly.com/question/14478195

#SPJ1

Answer: Point G.

Step-by-step explanation:

Count the number of spaces between points A and B. Then divide that number by 2 and count that many spaces from one point.

14/2=7

I hope this helps!! Pls mark brainliest :)