Explain the effect of C on the graph of Y=f(x) for the function y=f(x+c)

Answers

Answer 1

f(x) + c -> up by c

f(x) - c -> down by c

f(x + c) -> left by c

f(x - c) -> right by c

For y = f(x + c), the y value of x now takes the y value of the function of x + c, or the one c to the right of x, shifting the entire graph left by c.

Answer 2
Final answer:

The function y=f(x+c) signifies a horizontal shift of the graph y=f(x). The graph shifts left if 'c' is positive and right if 'c' is negative.

Explanation:

In mathematics, y=f(x+c) represents a transformation of the graph y=f(x). Specifically, the addition of the constant 'c' in the function results in a horizontal shift of the graph. If 'c' is positive, then the graph moves to the left by 'c' units. If 'c' is negative, then the graph moves to the right by 'c' units.

Let's look at an example to illustrate this. Consider the function y = f(x) where f(x) = x^2, the graph is a parabola centered on the origin (0,0). If we transform this function into y = f(x+c), where c = 2, the resulting graph y = (x+2)^2 would be a parabola shifted 2 units to the left of the origin.

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Related Questions

Suppose you have a coin collection of dimes and quarters containing 46 coins. If you have 6.70 dollars, how many of each type of coin do you have?

Answers

Answer:

The number of dimes = 32

The number of quarters  = 14

Step-by-step explanation:

Here, the total number of coins combined = 46

Let us assume the number of dimes = m

So, the Number of quarter = Total Coins - Number of dimes  = 46 - m

Now,as we know:

1 dime = $0.1

So, m dimes  = m x ($0.1) = $(0.1 m)

1 Quarter  = $0.25

So, ( 46 - m ) Quarters  = (46 - m ) x ( $ 0.25)   = 11.5 - 0.25 m

Also, given the total amount of coins = $ 6.70

Value of (Dimes + Quarters) = $ 6.70

or, (0.1 m) +  11.5 - 0.25 m  = 6.70

-0.15 m = - 4.8

or, m = 4.8/0.15  =  32

m = 32

Hence, the number of dimes = m = 32

And the number of quarters  = 46 - m= 46 -32 = 14

Suppose that $11,572 is invested at an interest rate of 6.2% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
a) The exponential growth function is P(t)= .
(Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)

Answers

so is this a multiple choice ?

Please help!!!! I’ll mark you as brainliest if you get it correct

Answers

Answer: $37.45(to the nearest hundredths)

Step-by-step explanation:

% increase in last year living cost =5%

% increase in last year income =5%

This year income = $39.420

To calculate last year income implies

5% decrease of this year income; thus:

5/100 * $39.420 = $1.971

Last year income = $39.420 - $1.971 = $37.449 = $37.45 (to the nearest hundredths)

Answer:

37.4490 (rounded to the nearest hundredth) = 37.45

Step-by-step explanation:

ok so her bills or wateva went up 5% right and she gets a lil 5% raise or sumn from her job which made her money got up to $39.42. so if you think about it all you do is multiply 39.42 and (5%) which = 0.05 in decimal form and then after you multiply you should get 1.9710 and once you get that you gone take her money she getting now which is 39.42 - her 5% raise she got and once you subtract you gone get 37.4490 or 37.45 rounded

What is the solution to the inequality d/7+4<0

Answers

Answer:

d < -28

d ∈ (-∞ , -28)

Step-by-step explanation:

[tex]\frac{d}{7}[/tex] + 4 < 0

Taking 4 on the right side of the equation,

We get,    [tex]\frac{d}{7}[/tex] < -4

Now, since 7 is positive number , we can transfer it to right side of the equation multiplying with -4,

It gives,  d < -28.

So  d belongs from -∞ to -28 excluding -28 ,

We can write, d ∈ (-∞ , -28).

What is gif of 18 and 24

Answers

Answer:

6

Step-by-step explanation:

I assume you mean GCF, greatest common factor.

First, write the prime factorizations for each:

18 = 2¹ × 3²

24 = 2³ × 3¹

Next, find what they have in common.  Both have a factor of 2¹ and 3¹.

GCF = 2¹ × 3¹

GCF = 6

The greatest common factor is 6.

Answer:

6

Step-by-step explanation:

18 = 1x18 2x9 3x6

24 = 1x24 2x12 4x6 3x8

can you tell me if they are proportional or nonproportional

Answers

Answer:

4. All of the values are not proportional except 2 values

5. All of the values are non-proportional

6. All of the values are proportional

7. The two variables are proportional when, (no. of pies ordered (one of the variables)) is ≥ 12 . but the two variables are non-proportional when, 0 < (no. of pies ordered (one of the variables))  < 12.

Step-by-step explanation:

4.All of  the values in table 4. are not proportional, except 2 since,

[tex]\frac {1}{17.25} = \frac{4}{70} \neq \frac{2}{35.50}  \neq \frac{3}{50.75}[/tex]

although the units for all fractions is the same i.e.,  hour/dollar

5. All  of the  values in table 5 are non-proportional since,

[tex]\frac {1}{37} \neq \frac {2}{73} \neq \frac {3}{109} \neq  \frac{4}{145}[/tex]

although units for all the fractions are the same. i. e., hour/no. of pages

6. All  of the values of the table 6. are proportional, since,

[tex]\frac {1}{2.75} = \frac {2}{5.5} = \frac {3}{8.25} = \frac {4}{11}[/tex]

and all of the fractions  have same unit i. e.,   number of lunches/dollar

7. If no, of pies ordered is less than a dozen, then the cost is given by,

 y = 5 + 4.5x    [y in $, where x is the no. of pies ordered and 0 < x < 12]

clearly, y is not proportional to x.

The table of some values is given by,

   x          y

   1          $ 9.5

   2          $  14

   3          $ 18.5                         etc.

If no, of pies ordered ≥ 12, then the cost is given by,

   m = 4.5n [m in $, where, n is  no. of pies ordered and n ≥ 12]

clearly, m is proportional to n

The table of some values is given by,

  n               m

  12             $ 54

  13              $ 58.5            

  14              $ 63                      etc.

Determine the intercepts of the line: -3x-4=-5y-8

Answers

Final answer:

To find the intercepts of the given line, the equation is rearranged into the slope-intercept form, revealing the y-intercept directly and allowing for easy calculation of the x-intercept by setting y=0. Thus, the x-intercept is 4/3.

Explanation:

To determine the intercepts of the line given by the equation -3x - 4 = -5y - 8, we should find both the x-intercept and y-intercept. The general form of a line is given by y = mx + b, where m is the slope, and b is the y-intercept.

Steps to find the intercepts:

Rearrange the equation to the slope-intercept form y = mx + b by adding 3x to both sides and then adding 8, resulting in -5y = 3x - 4. By further dividing both sides by -5, we get  y = -3/5x + 4/5.

To find the y-intercept (b), set x=0 in the rearranged equation, which gives y = 4/5. Thus, the y-intercept is 4/5.

To find the x-intercept, set y=0 in the rearranged equation, resulting in 0 = -3/5x + 4/5. Multiplying both sides by 5 and then dividing by -3, we find x = 4/3. Thus, the x-intercept is 4/3.

17. Match each example with the appropriate property.
1. × + (-×) = 0
2. × + 0 = x
3. × . 1
4. × . 1 = x
A. Mutiplicative identity
B. Mutiplicative inverse
C. Additive identity
D. Additive inverse

Answers

Answer:

x+(-x)=0  matches D. Additive inverse (When you add at any number its inverse value, the result is allways 0 - zero- example : 3 + (-3) =3 -3 =0.x+ 0 =x matches C. Additive identity (Zero is a neutral element in any sum, then, if you add zero to any number, the number remains the same, example: 3 + 0 =3)(sorry, I understand that this expression may be not well copied)            x. (1/x)  = 1  matches B. multiplicative inverse (multiplicative inverse is that number that when multiply with our originalnumber,in this case x will give us the number 1 - example: the multiplicative inverse of 3 is [tex]\frac{1}{3}[/tex], because [tex]3\frac{1}{3}=1[/tex].x . 1 = x matches A. Multiplicative identity (One is the neutral element of multiplication, thenif you multiply any number by 1, it remains the same, example: 3 . 1= 3)

0.2x=0.1y+0.3 in standard form

Answers

Answer:

2x - y = 3.

Step-by-step explanation:

0.2x = 0.1y + 0.3

Multiply through by 10:

2x = y + 3

2x - y = 3.

Write two ordered pairs to show that the equation y = 15x represents the data.

A. (1, 15), (2, 50)

B. (1, 15), (2, 30)

C. (2, 15), (2, 40)

D. (1, 25), (2, 60)

Answers

Answer:

b

Step-by-step explanation:

the only one that has a cop of 15 is b

The two ordered pairs to show that the equation y = 15x represents the data are (1, 15) and (2, 30) option (B) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation is:

y = 15x

Plug x = 1

y = 15

Plug x = 2

y = 30

The two points are (1, 15) and (2, 30) which lie on the equation of the line y = 15x

Thus, the two ordered pairs to show that the equation y = 15x represents the data are (1, 15) and (2, 30) option (B) is correct.

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If 2x - 1 = 6, what is the value of 4x^2 - 1​

Answers

Answer:

48

Step-by-step explanation:

2x-1=6

2x=6+1

2x=7

x=7/2

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

4x^2-1

4(7/2)^2-1

4(49/4)-1

49-1

48

Answer: 48

Step-by-step explanation:

2x - 1 = 6

Add 1 to both sides of the equation , we have:

2x = 7

divide through by 2

x = 7/2

The value of [tex]4x^{2}[/tex] - 1 will be calculated by substituting in the value of x , that is

[tex]4x^{2}[/tex] - 1 = 4([tex](\frac{7}{2} )^{2}[/tex] - 1

= 4([tex]\frac{49}{4}[/tex]) - 1

= 49 - 1

= 48

If 2 angles are supplementary and their measures are m<1 (5x +10)° and m<2 (x +14)°. Find x and the measure for both angles.

Answers

Answer:

(5x+10) + (x+14) =180

6x+24=180

x=26

Angles are 140 and 40

Step-by-step explanation:

A store increased the price of a pair of jeans by $3, and then a man bought 4 pairs of jeans. If he paid $164, how much was each pair of jeans originally?

Answers

Answer:

$38.00

Step-by-step explanation:

164/4=41          41-3=38

Every time Liliana bakes a batch of brownies,
she uses 3/4 cup of chocolate. If she has 12/8
cup(s) of chocolate remaining, how many
batches of brownies can Liliana make?

Answers

Answer:

Liliana can make two batches of brownies!

Step-by-step explanation:

12/8 is equal to 6/4, which is double 3/4.

Liliana can make 2 batches of brownies.

12/8 is equal to 6/4

3/4 x 2 = 6/4

May I have brainliest please? :)

What do both shapes have in common ?

Answers

Answer:

1 right angle

Step-by-step explanation:

The sides are not in common

Answer:

1 right angle

Step-by-step explanation:

They dont have the same number of sides

Find the solution for 3x + 7 ≥ -29.

Answers

Answer:

x>=-12

Step-by-step explanation:

3x+7>=-29

3x>=-29-7

3x>=-36

x>=-36/3

x>=-12

This the answer yessir

Carys calculates the total amount EEE, in dollars, that she earns for working hhh hours using the equation E=10hE=10hE, equals, 10, h.

Answers

Answer:

$10 per hour. It takes 0.1 hours to earn $1

Step-by-step explanation:

E=10h

E=10 x 1

E=10

Carys earns $10 per hour.

E=10h

1=10h

1/10=10h/10

0.1=h

It takes Carys 0.1 hours to earn a dollar.

8 divided by 2(2+2)
answer??

Answers

Answer:

1

Step-by-step explanation:

8/2*4=8/8=1

(ANSWERS IN THE IMAGE ABOVE)
Select the correct graph that shows the solution to 18 > 3x - 3

Answers

Answer:

c

Step-by-step explanation:

Solve the inequality, that is

18 > 3x - 3 ( add 3 to both sides )

21 > 3x ( divide both sides by 3 )

7 > x, hence

x < 7

< is denoted by an open circle on the number line at 7, meaning that x cannot be equal to 7. Since less than 7 then the arrow head points to the left of 7

This is represented by Graph c

the half of 4 plus 4?​

Answers

The answer is 6 I believe.

Explanation: half of 4 is 2 + 4 = 6

Find out how much it cost for 8 apples if they are .99 cents. Write an equation

Answers

Answer:

7.92

Step-by-step explanation:

0.99*8=7.92

Answer:

8a = 8(.99)

7.92

hoope it helps

Enter the equation of the line in slope-intercept form.
Slope is 1/4, and (4, 2) is on the line.
The equation of the line is y =

Answers

Answer:

y=[tex]\frac{1}{4}[/tex]x

Step-by-step explanation:

the y intercept is 0

ASAP PLS I MUST PASS THIS 25 POINTS

You are going on a rod trip! You drive to your best friend’s house and then get on the highway. After 2.5 hours, you had traveled a total of 135 miles. You can average 50 miles per hour after you leave your friend’s house. Which of these equations best shows the distance you have gone since you left your house?

Answers

top left i guessed and got it correct

Answer:

A is correct so technically the top left hope this helps

Step-by-step explanation:

From a standard deck of cards you draw 4 cards. Find the probability of drawing 2 red and 2 black cards.

Answers

Answer:

P=0.39

Step-by-step explanation:

We use the Hypergeometric distribution to find the probability

The normal deck of cards has 52 cards, 26 red and 26 black

Taking 4 cards out of the whole deck can be done (without replacement) in

[tex]\begin{pmatrix}52\\4\end{pmatrix}[/tex]

different ways .

Taking 2 red cards can be done in

[tex]\begin{pmatrix}26\\2\end{pmatrix}[/tex]

different ways. Same applies to the black cards

So, the required probability can be computed as

[tex]P=\frac{\begin{pmatrix}26\\2\end{pmatrix}\begin{pmatrix}26\\2\end{pmatrix}}{\begin{pmatrix}52\\4\end{pmatrix}}[/tex]

[tex]{\begin{pmatrix}52\\4\end{pmatrix}}=\frac{52!}{4!48!}=270725[/tex]

[tex]{\begin{pmatrix}26\\2\end{pmatrix}}=\frac{26!}{2!24!}=325[/tex]

[tex]P=\frac{325x325}{270725}=0.39[/tex]

1) Tickets to a fundraiser are $14 if purchased ahead of time and $25 if
purchased at the door. The total amount raised from all ticket sales was $625. If
eleven tickets were purchased at the door, how many tickets were purchased
chead of time?

Answers

Answer:

25 tickets were purchased ahead of time

Step-by-step explanation:

25(11)=275 which is the price of the 11 bought at the door then you  take 625-275=350 which is the amount of money that was raised through purchases ahead of time so you take 350/14=25 meaning that 25 tickets were bought ahead of time.

There are 25 tickets were purchased ahead of time.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The cost of tickets to a fundraiser when purchased ahead = $14

The cost of tickets to a fundraiser when purchased at the door = $25

And, The total amount raised from all ticket sales = $625

Now,

Let number of tickets to a fundraiser when purchased ahead = x

And, The number of tickets to a fundraiser when purchased at the

door = y

We can formulate;

⇒ $14x + $25y = $625

Since, The number of tickets to a fundraiser when purchased at the

door = 11

So, y = 11

Hence, We can formulate;

⇒ $14x + $25y = $625

⇒ $14x + $25 × 11 = $625

⇒ $14x + $275 = $625

⇒ $14x = $625 - $275

⇒ $14x = $350

⇒ x = 25

Thus, There are 25 tickets were purchased ahead of time.

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In a local shelter, 300 people donated blood during the blood donation week. The samples collected of the different blood types are shown in the graph below. How many more people with Type A blood donated blood than those with Type B blood?

Answers

Answer:

D)24 people

Step-by-step explanation:

Total number of people, x=300

Number of people donated blood with type A, y

[tex]=\frac{28}{100}\times x\\=\frac{28}{100} \times 300\\=84[/tex]

Number of people donated blood with type B, z

[tex]=\frac{20}{100}\times x\\=\frac{20}{100} \times 300\\=60[/tex]

⇒Number of people with Type A blood donated more than those with Type B blood= y-z=84-60= 24

Answer:

D) There are 24 more people who donated Type - A then Type -B.

Step-by-step explanation:

Total number of people who donated the blood in shelter = 300

Percentage of people who donated the type A = 28%

Percentage of people who donated the type B = 20%

Now, 28 %  of 300 = [tex]\frac{28}{100 } \times 300 = 84[/tex]

So, the total number of people who donated the Type - A  = 84 people.

Also, 20 %  of 300 = [tex]\frac{20}{100 } \times 300 = 60[/tex]

So, the total number of people who donated the Type - B  = 60 people.

So, the difference in the people who donated type A and Type B  

= Number of people who donated the {Type - A  - Type - B}

= 84 people -  60 people

= 24 people

or, the difference in the people who donated type A and Type B  = 24

Hence, there are 24 more people who donated Type - A then Type -B.

What is the product?

Answers

Answer:

Option D =[6    18]  is the correct answer

Step-by-step explanation:

Given that:

[4  2] * [-2    5; 7    -1]

For taking product:

above matrices are okay for multiplication as number of columns of first matrix are equal to number of rows of second matrix.So it will be done as follows:

= [4*-2 + 2*7    4*5 + 2*-1]

=[-8 + 14        20 + (-2) ]

=[6    18]

i hope it will help you!

Whitney contributes 13% of her $70,600 annual salary to her 401(k) plan.
What is her pretax income?
O A. $71,41.92
O B. $61,422
O C. $49,016
O D. $59,808

Answers

Answer:

option (B) $61,422

Explanation:

Given the annual salary is $70,600

Percent of Contribution made from the income = 13%

Pretax Salary/Income is calculated by the formula, Salary – 13% of salary

Pretax income =

[tex]70600 - \frac{13}{100} \times 70600[/tex]

= 70600 – 9178 = 61422

Therefore whitney’s pretax income is $ 61422

Hence, option (B) is correct

Answer:

The correct answer is B. $61,422

Step-by-step explanation:

Please explain your answer. Thank you!

Answers

Answer:

C

Step-by-step explanation:

Let length of rectangle be "l"

Let width of rectangle be "w"

We know,

LENGTH is 2 MORE THAN WIDTH, we can write:

l = w + 2

Also, note the perimeter is the sum of all 4 sides of a rectangle, thus:

length + width + length + width

Now,

The perimeter is given as 72, so we can write:

l + l + w + w = 72

2l + 2w = 72

We have 2 equations that we need to solve and find the length (l).

The first equation is:

l = w + 2

Rearranging, we have:

w = l - 2

We put this into 2nd equation and find the value of l:

[tex]2l + 2w = 72\\2l + 2(l-2) = 72\\2l+2l-4=72\\4l-4=72\\4l=76\\l=\frac{76}{4}\\l=19[/tex]

The length is 19 meters, the correct answer is C

Hello! Can someone please help me solve this? its very hard for me.

Answers

Answer:

16990.616 $ you can expect to have in your account after five years.

Step-by-step explanation:

Given that,

Amount invested is principal amount (p) = $ 15000

Annual rate of interest (r) = 2.5% = 0.025

Compounded quarterly (n) = 4

Sum of the amount after 5 years (t)

We know that from compound interest formula,

[tex]\text { Final amount }(\mathrm{A})=P\left(1+\frac{r}{n}\right)^{n t}[/tex]

To find the final amount substitute the given values in the above formula,

[tex]\text { Final amount }(\mathrm{A})=15000\left(1+\frac{0.025}{4}\right)^{4 \times 5}[/tex]

[tex]\text { Final amount }(\mathrm{A})=15000\left(1+6.25 \times 10^{-3}\right)^{20}[/tex]

[tex]\text { Final amount }(\mathrm{A})=15000(1.00625)^{20}[/tex]

[tex]\text { Final amount }(\mathrm{A})=15000 \times 1.132707738[/tex]

Final amount (A) = 16990.62

The final amount that he can expect is $ 16990.62.

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