Which of the following is true? there is a phase shift to the left. there is a phase shift to the right. the graph is reflected across the x-axis the graph is stretched horizontally. the graph is compressed horizontally.

Answers

Answer 1

Answer:

a. There is a phase shift to the left

Step-by-step explanation:

Answer 2

The correct statement for the graph of y = cos (x + pi/6) compared to the graph of y = cos(x) is given by: Option A: There is a phase shift to the left.

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: [tex]y=f(x+c)[/tex]output, but c units earlier)Right shift by c units:  [tex]y=f(x-c)[/tex]  (same output, but c units late)

Vertical shift:

Up by d units: f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]

For this case, the parent function y = cos(x) is transformed to make the function y = cos (x + pi/6)

Thus, there is left shift of the graph of the function y =cos(x).

The graphs of both functions (parent function in red color and transformed function in blue color) is given below.

Thus, the correct statement for the graph of y = cos (x + pi/6) compared to the graph of y = cos(x) is given by: Option A: There is a phase shift to the left.

Learn more about transforming functions here:

https://brainly.com/question/17006186

Which Of The Following Is True? There Is A Phase Shift To The Left. There Is A Phase Shift To The Right.

Related Questions

In which of the following situations should a debit card be used? A Eugene is at a cash-only restaurant, and needs to use the ATM. B Eugene is going to buy a guitar, but he does not have the money for it. с Eugene is not sure how much money is in his account and does not want an overdraft fee. D Eugene was in a car crash, and now he has a lot of expensive medical bills to pay.​

Answers

Answer:

the answer is A

Step-by-step explanation:

If Eugene is at a cash-only restaurant he must withdraw cash out of his bank account (linked to debit card.)

A rectangular bathroom mirror is 4
feet tall and 7 feet wide. What is its
area?
square feet

Answers

Given -

A rectangular bathroom mirror is 4 feet tall and 7 feet wide.

ie, length of the mirror, L = 4 feet and breadth of the mirror, B = 7 feet .

To find -

the area of the mirror

Solution -

As we know to find the area of rectangle we use the formula, Area = L × B

Hence, we will be doing the same.

Area = 4 × 7

Area = 28 square feet

Answer:

28 sq. feet

Step-by-step explanation:

Given:-

The length of bathroom mirror :- 4 feetWidth :- 7 feet

To find:-

The area of the rectangular bathroom mirror

Solution:-

Area of rectangular bathroom mirror:- L × B

putting the values ,

Area :- 4 × 7 sq. feet

Area:- 28 sq. feet

The length of a rectangular frame is represented by the expression 2x 10, and the width of the rectangular frame is represented by the expression 2x 6. Write an equation to solve for the width of a rectangular frame that has a total area of 140 square inches. 4x2 32x − 80 = 0 4x2 32x 60 = 0 2x2 32x − 80 = 0 x2 16x 60 = 0.

Answers

The equation to solve for the width of a rectangular frame that has a total area of 140 square inches is 4x²+32x-80=0.

What is the area of the rectangle?

The area of the rectangle is the product of its length and its breadth.

As it is given that the length of the rectangular frame is (2x+10), while the width of the rectangular frame is (2x+6). Also, it is mentioned that the area of the rectangular frame is 140 in².

Now we know the area is the product of length and breadth, therefore,

[tex]\rm \text{Area of rectangle} = length \times breadth[/tex]

[tex]140 = (2x+10)(2x+6)\\\\140 = 4x^2 + 12x + 20x + 60\\\\0=-140+4x^2 + 12x + 20x + 60\\\\4x^2 + 32 x -80=0[/tex]

Hence, the equation to solve for the width of a rectangular frame that has a total area of 140 square inches is 4x²+32x-80=0.

Learn more about the Area of Rectangle:

https://brainly.com/question/14383947

Answer:

A.)  4x2 + 32x − 80 = 0

Step-by-step explanation:

Just took the test

Which ordered pair is a solution to the system of inequalities {y <3x-1
y>|x-2|

Answers

Answer:

(4, 4)

Explanation:

I have solved it using graph.

(4, 4) is the only point which lies inside both of the inequalities.

Gobe weighs 53.6 kg. he wears shoes which weigh 450 gm and carries a school bag weighing 4.5 kg. if he stands on the scales in his shoes and carrying the school bag. what weight will be recorded?​

Answers

Answer:

The key to this question is converting all the mass units to the same unit and adding them all up.

The only value that isn't consistent with the other units is 450 gm or grams.

Recall that 1 gram is equal to 0.001 kilo grams. So if you want to convert grams to kilograms you would multiply that amount by 0.001 or 1/1000

[tex]450gm * \frac{1}{1000} = 0.45kg[/tex]

Now let's add up all the masses.

[tex]53.6kg + 0.45kg + 4.5kg = 58.55 kg\\[/tex]

(Now a few footnotes here, that I considered but wasn't sure about. The answer asks for weight, but you're only given mass to work with. That would be fine, if the question asked you to convert it to SI weight units like Newtons, but there's no mention of that. And also I'm not sure if the question requires significant digits. But I'll continue the answer if you think so)

To convert this into weight in Newtons, multiply by 9.81 m/s^2

[tex]58.55kg*9.81m/s^2 = 574.3755 N\\\\= 5.7 * 10^2 N[/tex]

If $1209 is deposited in an account that pays 8. 2% interest compounded monthly, what is the balance after 26 years? Use: A=P(1+r)t
Round to the nearest cent

Answers

Answer:

Step-by-step explanation:

We can use the interest equation (mind you it is the same thing as said in the problem) to solve this:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the resulting amount, r is the interest rate, n is the number of times compounded per year and t is the time.

[tex]A=1209(1+\frac{.082}{12} )^{12*26}[/tex]

A = $10,120.29

The carson family pays $3,252 a year for their cell phones is $3,252 a reasonable answer?

Answers

Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

surface area of prisms: find it and. fix it​

Answers

Answer:

Step-by-step explanation:

i can't solve without seeing the prism

What are the solutions to the equation x^2 - 8x= 24

Answers

Answer:

Step-by-step explanation:

Try to get all the numbers and variables on one side of the =

X^2 - 8x - 24 = 0

I think solving this equation via factorisation would be difficult so you should use the quadratic formula which I have attached.

Question 9 (Mandatory) (1 point)
A bakery sells hollow chocolate spheres. Each chocolate sphere contains
about 19.4 cubic inches of chocolate.
The bakery packages 8 of them into a box. If the density of the chocolate is
1.308 g/cm3, determine and state, to the nearest gram, the total mass of the
chocolate in the box.
a) 198
b) 203g
C) 25g
d) 150g

Answers

Answer:

B) 203 grams

Step-by-step explanation:

19.4 * 1.308 = 25.3752

25.3752 * 8 = 203.0016

Suppose $500 is divided into two bank accounts. One account pays 15% simple interest per year and the other pays 10%. After three years there is a total of $200 in interest between the two accounts. How much was invested into the bank account that pays 15% simple interest (rounded to the nearest cent)? ​

Answers

Answer:

x = amount invested in the 15% account

x*.15*3 + (500-x)*.1*3 = 200

x = 333.33

so, 500-333.33 = 166.67 at 10%

Step-by-step explanation:

Answer:

x = amount invested in the 15% account

x*.15*3 + (500-x)*.1*3 = 200

x = 333.33

so, 500-333.33 = 166.67 at 10%

Step-by-step explanation:

sorry if i did it wrong

this is due today! please help and i will give 50 points

Answers

Answer:

D)  154 ft²

Step-by-step explanation:

Formula

Area of a rectangle = width x length

We only need to calculate the area of the walls.

There are two pairs of walls with the following dimensions:

5 ft x 7 ft6 ft x 7 ft

Therefore, area to paint = 2(5 x 7) + 2(6 x 7)

                                        = 70 + 84

                                        = 154 ft²

Bottom cube 's LSA need to be counted

H=7ftL=6B=5

LSA:

2H(L+B)2(7)(5+6)14(11)154ft²

Swimming Pool On a certain hot summer's day, 163 people used
the public swimming pool. The daily prices are $1.25 for children
and $2.00 for adults. The receipts for admission totaled $257.00.
How many children and how many adults swam at the public pool
that day?
There were
children at the public pool.

Answers

Approximately 21 children and 142 adults

The numbers in any column row or diagonal in the gird below multiply to give an answer of 1 complete the grid

Answers

Step-by-step explanation:

Let’s just start with rows. I’m going to use a, b, and c for the missing numbers (a in the first row, b in the second, c in the third).

Row 1 — 5 × 4 × a = 1

20 × a = 1 → a = 1/20

Row 2 — b × 1 × 100 = 1

b × 100 = 1 → b = 1/100

Row 3 — 20 × 1/4 × c = 1

5 × c = 1 → c = 1/5

Check Columns:

5×1/100×20 = 5(20)/100 = 100/100 = 1 ✓

4 × 1 × 1/4 = 1 ✓

1/20×100×1/5 = 100/(20*5) = 100/100 = 1 ✓

Check Diagonals:

5 × 1 × 1/5 = 5/5 = 1 ✓

20 × 1 × 1/20 = 20/20 = 1 ✓

x=15 in the form of |x-b|=c
(where b is a number and c can be either number or an expression)

Answers

Step-by-step explanation:

don't mind with my hand writting

n expression is shown below. -x + 1 + 4x - 3

Answers

Answer:

3x - 2

Step-by-step explanation:

Collect like timers. -x + 4x = 3x and -3 + 1 = -2, 3x - 2

Hey there!

-x + 1 + 4x - 3

= -1x + 1 + 4x - 3

COMBINE the LIKE TERMS

= (-1x + 4x) + (1 - 3)

= -1x + 4x + 1 - 3

= 3x - 2


Therefore, your answer is: 3x - 2


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Brainliest if correct

Answers

Answer:

The answer is D

Step-by-step explanation:

Mark brainliest

Ella traveled by train to visit her friend.
• It took 3 hours for Ella to reach her destination.
• The train averaged a speed of 100 miles per hour.
Enter an equation to express the distance, d, Ella traveled.

Answers

Answer:

d = st, d = 100 x 3

Step-by-step explanation:

distance = speed x time

distance = 100 x 3, therefore, distance = 300, but if you just want the equation, it is d = 100 x 3 or d = st

Step-by-step explanation:

d = 100 x 3.

d= 100n

where n = time the journey took.

Given the function h of x equals negative 2 times the square root of x, which statement is true about h(x)?

The function is decreasing on the interval (0, ∞).
The function is decreasing on the interval (–∞, 0).
The function is increasing on the interval (0, ∞).
The function is increasing on the interval (–∞, 0).

Answers

Using translation concepts, it is found that the correct statement about h(x) is:

The function is decreasing on the interval (0, ∞).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is:

[tex]f(x) = \sqrt{x}[/tex]

Which is increasing on (0, ∞).

After the translation, the function is:

[tex]h(x) = -2\sqrt{x}[/tex]

It was multiplied by a negative number, which means that it was reflected over the x-axis, and it will be decreasing on the interval (0, ∞).

More can be learned about translation concepts at https://brainly.com/question/4521517

Draw and label a triangle with a base that is 3 times its height and has an area that is less than 50 square inches.

Answers

Answer: i dont knpw how to do tht can u tell me where to draw im just getting points

Step-by-step explanation:

learn.flvs.net/educator/student/examform.cgi?eprice34 annсait*sit=bNTabyUk8FP9A*4870*0017
Lessons
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$ Tools -
Question 4(Multiple Choice Worth 1 points)
(03.01 MC)
Simplify 972-317 + V8 - 28
011/2-5/7
0 1184 – 5/14
065
be
C 6/9
Question 5 Multiple Choice Worth 1 points)
(03.01 LC

Answers

Answer:

The choice A.

Step-by-step explanation:

[tex]9 \sqrt{2} - 3 \sqrt{7} + \sqrt{8} - \sqrt{28} \\ \\ 9 \sqrt{2} - 3 \sqrt{7} + ( \sqrt{2} \sqrt{4} ) - ( \sqrt{4} \sqrt{7} ) \\ 9 \sqrt{2} - 3 \sqrt{7} + (2 \sqrt{2} ) - (2 \sqrt{7} ) \\ 9 \sqrt{2} - 3 \sqrt{7} + 2 \sqrt{2} - 2 \sqrt{7} \\ (9 \sqrt{2} + 2 \sqrt{2} ) + ( - 3 \sqrt{7} - 2 \sqrt{7} ) \\ 11 \sqrt{2} - 5 \sqrt{7} [/tex]

The simplified value of in radical form is 11√2 - 5√7.

What is Radical?

In mathematics, a radical is the inverse of an exponent, which is represented by the symbol '√' , also known as root. It can be a square root or a cube root, and the number preceding the symbol or radical is known as an index number or degree. This is a whole integer with an exponent that cancels out the radical.

We have 9√2 - 3√7 + √8 - √28

First, solve the radical as possible

√8= 2√2

and, √28= 2√7

So, 9√2 - 3√7 + √8 - √28

= 9√2 - 3√7 + 2√2- 2√7

= 9√2 + 2√2- 3√7- 2√7

= 11√2 - 5√7

Learn more about Radical here:

https://brainly.com/question/1369233

#SPJ7

what is a solution in 6th-grade math?

Answers

Answer:

A solution means any variable that makes the equation true


A. where will vertex A be located after a rotation of -90°

B. where will vertex B be located after a rotation of 90°

C. where will vertex C be located after a -180° rotation

D. where will vertex D be located after a 270° rotation?

Answers

Answer:

this image should help a lot:

vertex b: (-5,3)

vertex a: (0,-1)

vertex c: (-6,-7)

vertex d: (-4,-1)

Step-by-step explanation:

An equation is shown below:

4(2x - 5) + 15 = 11

Write the steps you will use to solve the equation and explain each step.

Answers

Answer:

Step-by-step explanation:

What is the volume of a sphere with a radius of 3 m, rounded to the nearest tenth

Answers

Given:-

[tex]\rightarrow[/tex]Radius(r) of sphere = 3m

To Find:-

[tex]\rightarrow[/tex] Volume of the sphere.

Formula Used:-

[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex]

Solution:-

[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex](putting the value of r(radius) from the above given and pie(π) = [tex]\sf{\frac{22}{7}}[/tex])

[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×3^3}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×27}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\frac{2,376}{21}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=113.14m^3}[/tex]

Therefore, the volume of the sphere [tex]\sf{=113.14m^3}[/tex], which can be rounded off to it's nearest tenth as [tex]\sf{113.1m^3}[/tex]

____________________________________

Hope it helps you:)

Using the Linear equation 4x-3y=12, express each of the following.
y in terms of x. y=

Using the Linear equation 4x-3y=12, express each of the following.
x in terms of y. x=

Answers

Using the given linear function, it is found that the expressions are given by:

[tex]y = \frac{4x}{3} - 4[/tex].[tex]x = \frac{3y}{4} + 3[/tex].

What is the given linear function?

It is:

4x - 3y = 12.

To find y in terms of x, we isolate y, hence the expression is given by:

[tex]3y = 4x - 12[/tex]

[tex]y = \frac{4x}{3} - 4[/tex]

To find x in terms of y, we isolate x, hence the expression is given by:

[tex]4x = 12 + 3y[/tex]

[tex]x = \frac{3y}{4} + 3[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

A circular counter top has a radius of 5 feet.
Enter the area, in square feet, of the counter top. Round your answer to the nearest tenth.

Answers

Answer:78.6[tex]ft^{2}[/tex]

Step-by-step explanation:

Area=π[tex]r^{2}[/tex]

Area=[tex]\frac{22}{7}[/tex] x [tex]5^{2}[/tex]

=[tex]\frac{22}{7}[/tex] x 25

=78.6[tex]ft^{2}[/tex]

Can i get some help With This Please

Answers

Step-by-step explanation:

See the solution for each part

1)

f(-2) = - 3(-2) - 6 = 6 - 6 = 0

2)

g(3) = 3² + 4 = 9 + 4 = 13

3)

f(g(x)) = -3(x² + 4) - 6 = - 3x² - 12 - 6 = - 3x² - 18

4)

f(g(3)) = f(13) = - 3(13) - 6 = - 39 - 6 = - 45

5)

x = - 3f⁻¹(x) - 63f⁻¹(x) = - x - 63f⁻¹(x) = -(x + 6)f⁻¹(x) =  - (x + 6)/3
f(x)=-3x-6g(x)=x²+4

Now

f(-2)=-3(-2)-6=6-6=0g(3)=3²+4=9+4=13f(g(x))=-3(x²+4)-6=-3x²-12-6=-3x²-18f(g(3))=-3(3)^2-18=-27-18=-45

Is 1,-9 a solution to y=-9

Answers

Answer:

yes

Step-by-step explanation:

(x,y) -> (1,-9)   y=-9

A scale model of a ramp is a right triangular prism as given in this figure. in the actual ramp, the triangular base has a height of 0.5 yards. what is the surface area of the actual ramp, including the underside? enter your answer as a decimal in the box.

Answers

The surface area of the actual ramp including the underside is 16.8 ft²

The height of the actual ramp = 1.2 feet  

The height of the model = 6 cm

What is the surface area of a right triangular prism?

A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm

Actual base = 16 cm × 0.2 ft/cm = 3.2 ft

convert the units

9 cm = 9 cm × 0.2 ft/cm = 1.8 ft

10 cm = 10 cm × 0.2 ft/cm = 2 ft

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Surface area of actual ramp = 2(0.5 × 3.2 ft × 1.2 ft) + 2(2 ft × 1.8 ft) + (1.8 ft × 3.2 ft)

= 16.8 ft²

Hence, the surface area of the actual ramp including the underside is 16.8 ft²

Learn more about the area here:

brainly.com/question/25292087

Answer:

7.2 yd² for K12

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