The graph of y = f (x) is given. Graph the indicated function.Graph y = f (-x) - 4

Using an exponential function and a differential equation, the constant k for the situation is given by:

k = 0.03.

An increasing exponential function is modeled according to the following rule:

[tex]A(t) = A(0)e^{kt}[/tex]

In which:

This exponential function is the solution to the following differential equation:

A'(t) = kA(t)

One example of application of these functions is for continuous compounding, in which the value of an investment of P(0) after t years is given by:

[tex]P(t) = P(0)e^{kt}[/tex]

For the continuous compounding situation in this problem, the interest rate is of 3%, hence k = 0.03, which is the desired parameter.

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Find the intercepts and domains

1. Intercepts

x-intercept (when y = 0)

x = 0

y-intercept (when x = 0)

y = 0

Domain

y = All real numbers

Symmetry

Yes it is symmetry

Answer: A.

Step-by-step explanation:

D is not less than c because c is a negative number.

To simplify the expression you can first use this property of exponents

Then you have

Now apply this property of exponents

Therefore, you have

An equation of the line containing the given point and parallel to the given line is y = 2x - 19.

In Mathematics, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts. This ultimately implies that, two (2) lines are parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

Mathematically, the point-slope form of a line is given by this equation:

y - y₁ = m(x - x₁)

Where:

Given the following equation:

2x - 56 = 3     ⇒ m₁ = 2

Therefore, m₁ = m₂ = 2.

At point (8, -3), we have:

y - y₁ = m(x - x₁)

y - (-3) = 2(x - 8)

y + 3 = 2(x - 8)

y + 3 = 2x - 16

y = 2x - 16 - 3

y = 2x - 19

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The graph is attached below.

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

For this problem, we are given the dimensions of a right triangle, we need to apply the trigonometric relation to determine which one results in 3/5.

We have three possible options sin, cos, and tan. The sine is the division between the opposite cathetus and the hypothenuse, which for this case is equal to 3/5, therefore it is the correct option.

The answer is A. sin.

Answer:

C. 0.16

Explanation:

In the table there are 59 students that prefer tacos and there are 367 students in total because

187 + 59 + 23 + 98 = 367

Then, the estimated population proportion of students that prefer tacos is calculated as

P = 59/367 = 0.16

Therefore, the answer is

C. 0.16

Answer:

D. Organ systems

Step-by-step explanation:

Homeostasis is maintained by the nervous and endocrine systems.

Solution:

iven :

To solve,

step 1: Convert the mixed fractions into improper fractions.

Thus,

step 2: Perform the operation of multiplication between both fractions.

Thus,

step 3: Convert the resulting improper fraction into a mixed fraction.

Thus,

Hence, the solution is

The expected value for the amount chosen from the bag is $5.90

We have

So in total, we have 1 + 2 + 3 +4 = 10 bills.

The expected value will be then given by the sum of the products between the value of each bill and the number of bills of that type, divided by the total number of bills.

EV = (1*$20 + 2*$10 + 3*$5 + 4*$1)/10 = $5.9

The expected value is $5.9

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The solution for the given inequalities are as follows

(17)k≥1     ,(18)c > 14      ,(20)y ≥ 2      ,(21)z < 9     ,(23)x < 1    ,(24)v ≤ -1  .

In the question ,

it is given that

(17) the inequality

3(k-5)+9k≥-3

3k-15+9k ≥ -3

12k -15 ≥ -3

12k ≥ 15-3

12k ≥ 12

k≥1

(18) the inequality

-(7c-18)-2c > 0

-7c+126-2c>0

-9c+126>0

-9c > -126

c > 126/9

c > 14

(20)given the inequality

-4 ≤ 4(6y-12)-2y

-4 ≤ 24y - 48 -2y

-4 ≤ 22y - 48

48-4 ≤ 22y

44/22 ≤ y

y ≥ 2

(21) given the inequality

30 > -(5z+15)+10z

30 > -5z -15 +10z

30 > 5z-15

45 > 5z

45/5 > z

z < 9

(23) given the inequality

4x+3 < 3x+6

4x-3x < 6-3

3x < 3

x < 1

(24) given the inequality

4v+8 ≥ 6v+10

-10+8 ≥ 6v-4v

-2 ≥ 2v

-2/2 ≥ v

-1 ≥ v

v ≤ -1

Therefore , the solution for the given inequalities are (17)k≥1     ,(18)c > 14      ,(20)y ≥ 2      ,(21)z < 9     ,(23)x < 1    ,(24)v ≤ -1  .

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The price per ticket, excluding the convenience charge, is  $65.

the rush delivery is given as $15.

The total cost of the tickets is said to be put at $352.50

Then the value that we would have for the the 5 tickets wpould be 352.50 - 15 = $337.50.

There is the convenience charge of $2.50 per ticket. This charge is excluded from the convenience charge that is to be paid.

Hence you would have to make the payment of

337.50 - 5*2.50

= 325.

Next we are to solve for the price of the ticket whioch is independent of the convenience charge

= 325 / 5

= $65

Hence the price per ticket is given as 65 dollars

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Hello! So....

We are given the following:

[tex]\frac{4250}{204}= \frac{y}{528}[/tex]

_______________________

1. Switch sides.

[tex]\frac{y}{528} =\frac{4250}{204}[/tex]

_______________________

2. Cancel the common factor (34).

[tex]\frac{y}{528}= \frac{125}{6}[/tex]

_______________________

3. Multiply both sides by 528.

[tex]\frac{528y}{528} =\frac{125*528}{6}[/tex]

_______________________

4. Simplify.

[tex]y=11,000[/tex]

^Hence, our solution.

____________________________________

Hope this helps! If so, please lmk! Thanks and good luck!

4,250/204 = y/528

Multiply both sides of the equation by 8976, the lowest common denominator of 204,528.

44×4250 = 17y

Multiply 44 and 4,250 to get 187,000.

187000 = 17y

Swap the sides so that all the terms of the variables are on the left side.

17y = 187000

Divide both sides by 17.

y = 187000/17

Divide 187,000 by 17 to get 11,000.

y=11000

The number of large cups that would contain the same amount as 10 1/2 small cups is 6.

From the information, it was stated that we should find the number of large cups that would contain the same amount as 10 1/2 small cups if a large cup holds 1 3/4 times the quantity of liquid that's in a small cup.

This simply means that we have to divide the values that are given. This will be illustrated as:

= 10 1/2 ÷ 1 3/4

= 10.5 / 1.75

= 6

There'll be 6 large cups.

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The warmest recorded temperature is 214°F higher than the coldest temperature.

Since the sign of the two numbers are same, their final values will be added and the result will have the same signs as the two numbers (or the one with the greater absolute value). This is called the multiplicative property.

Expression for difference between the two temperatures is,

= 134−(−80)

By applying the multiplicative property of negative sign, we get

=134+80

= 214°F

Therefore, we conclude that the warmest recorded temperature is 214°F  higher than the coldest temperature.

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The image of the point B ( − 4 , 6 ) under 270° clockwise rotation is point (-6 , -4).

A transformation that revolves a figure around a point is called a rotation. The rotational center is where we refer to it. The shape and dimensions of a figure remain the same while facing in a different direction. You can rotate a figure either clockwise or counterclockwise.

Under a rotation about the origin, the point A ( 5 , − 1 ) is mapped to the point A ' ( 1 , 5 ) is a -

270° clockwise rotation: (x,y) becomes (-y,x)

The image of the point B ( − 4 , 6 ) under this rotation is

(x , y) = (-y , x)

i.e.  (-6 , -4)

Assuming that the rotation's center is at (0, 0). Here are the guidelines for rotation:

Therefore , The image of the point B ( 4, 6) when rotated 270 degrees clockwise is point (-6 , -4).

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b) No, it is not

c) x + 1 is a factor

To determine if 10 is a function, we substitute x with 10 in the function:

No, it isn't a . This is because f(10) is not equal to zero, it is not a zero o. It has a remanider of 396.

c) Using synthetic division:

for x + 1: to be a factor, x = -1

+1 1 0

The last number is equal to zero. This indicates the remainder is zero.

Hence, x + 1 is a factor of the function f(x)

We have to write the equation of the line that pass through (4,-5) and (2,0).

We can calculate the slope as:

We can then write the slope-point form of the equation as:

Answer: y=-2.5x+5

We are asked to determine the equation of a line that passes through the point (-3, -1) and has a slope 2/5. To do that we will use the point-slope form of a line equation:

Where:

Now, we plug in the values:

Simplifying we get:

Now, we apply the distributive law:

Now, we subtract 1 from both sides:

and thus we get the equation of the line.

To find the horizontal tangent line, we have to conduct the first derivative test. The first derivative test sets the derivative of the function equal to 0.

Let's start out with finding the derivative of the function:

It seems like we will have to use Quotient Rule.

Now we can use basic derivative rules and properties to find the final derivative:

Setting the derivative equal to 0, we can begin the first derivative test:

We can simplify the derivative before solving (expand and combine like terms):

From here, we need to determine our values of x that will make the derivative equal to 0 or undefined. In this case, since we are not trying to find relative maxima or minima, we just need to find where the entire derivative is equal to 0. We can simply just graph the numerator and find its roots:

We can see that the values of x will be -21.0416 and 3.04159 will be the values that make the derivative equal to 0.

Also recall what the derivative is. The derivative is the slope of the tangent line. In order to find the horizontal tangent line, we know that horizontal tangent lines' slope is equal to 0.

Therefore, we can use either value of x to now find our equation.

Recall what the point-slope form of a line is:

Since we know that the derivative slope must equal 0, then we know that m = 0. We now need to find a point (x, y). Substitute one of the x values into the original equation to find an actual point on the function (remember not to round intermediate values on your calculator!):

Now we have a point (x, y) (I will put it in the actual radical form here):

Substitute our variables into point-slope form:

Simplify and rewrite to obtain our final answer:

Answer:

36

Step-by-step explanation:

-2(-3)(6)

6(6)

36

Answer:

-8/2 / 6/-3 -8/2 x -3/6 24/12= 2

Step-by-step explanation:

Answer:

2. Speed of the car.

Step-by-step explanation:

Given equation:

[tex]D=280-59t[/tex]

where:

The car begins its journey at Albany.  

Therefore, the car is at Albany when t = 0:

[tex]t=0 \implies D=280-59(0)=280[/tex]

Therefore, 280 represents the distance between Buffalo and Albany.

After 1 hour of driving:

[tex]t=1 \implies D=280-59(1)=221[/tex]

Therefore, after 1 hour of driving, the car is 59 miles closer to Buffalo and therefore 59 miles from Albany.

After 2 hours of driving:

[tex]t=2 \implies D=280-59(2)=162[/tex]

Therefore, after 2 hours of driving, the car is 158 miles closer to Buffalo and therefore 158 miles from Albany.

Therefore, the 59 represents the speed of the car as the car travels 59 miles per hour.

[tex] \: \huge \tt{\pink{A}{\orange{N}S{\green{W}{\blue{E}{\purple{R}}}}}} : \\ \\ \: \: \rightarrow \tt \: \:B. \: Smooth \: \: muscle \: \: contractions[/tex]

Esophagus move food to the stomach with the help of Smooth muscle contractions. Thus, option B is correct.

The esophagus is the tubular structure that transports food from your mouth to your stomach. Esophagitis can cause uncomfortable swallowing and chest discomfort. Esophagitis can be caused by a number of factors. Some typical causes comprise stomach acids backing up into the esophagus, illness, oral medications, and allergies.

As food enters the stomach, the esophagus contracts. The lower esophageal sphincter (LES) is a "valve" placed directly before the stomach entrance. This valve opens to allow food to travel from the esophagus into the stomach and closes to prevent food from moving back up into the esophagus from the stomach. Hence, option B is correct.

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Answer:

-16

Step-by-step explanation:

b) -x²;                   x = -4

-(-4)²

-(16)

-16

I hope this helps!

Answer: -16

Step-by-step explanation:

Anime Girl, this is the solution:

We have a total of 70 students (male and female), in consequence:

• Students that got an A = 18

• Students that got a B = 28

• Stiudents that got a C = 24

• P(A or B) = A + B / Total students

• P(A or B) = 18 + 28/70

• P(A or B )= 46/70

• P(A or B) = 23/35 (Simplifying) or 0.66

The percentage that 7.64% gain experienced you if sold your shares, your account showed $4680 for a total gain of $357.50.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

Given that when you sold your shares, your account showed $4680.00 ($72.00 × 65 shares)

For a total gain of $357.50 ($4680.00 – $4322.50).

Let the percentage gain you experienced be x %

As per the given data, the solution would be as:

⇒ x% of 357.50 = 4680.00

x%  is expressed as x/100 in fractional form

⇒ (x/100)(357.50) = 4680.00

⇒ x = 357.50/4680.00 × 100

⇒ x = 7.64%

Therefore, the percentage that 7.64% gain experienced you.

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The function is  f(x) = [tex]x^3[/tex]  + 2x is an odd function.

Given the function is :

f(x)=x^3-2x

To determine the function is Even , Odd , or Neither.

Let's Know :

What is  an Odd function?

A function f is said to be an odd function if -f(x) = f(-x), for all value of x. In Mathematics, the functions even and odd are those that satisfy specific symmetry relations, with respect to considering additive inverses.

Now, Come to the question:

According to the question;

f(x) = [tex]x^{3}[/tex] - 2x

f(-x) = (-[tex]x^3[/tex])  - 2(-x)

f(-x) = -[tex]x^3[/tex]  + 2x

Identify the relation between f(x) and f(-x)

f(x) ≠ f(-x)

Find -f(-x)

-f(-x) = -( -[tex]x^3[/tex]  + 2x)

Remove the parentheses:

-f(-x) =  [tex]x^3[/tex]  + 2x

Identify the relation:

f(x) = -f(-x)

Hence, The function is  f(x) = [tex]x^3[/tex]  + 2x is an odd function.

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