Simplify: 1/2 (2a-4b+6)

Answer:

Step-by-step explanation:

The average rate of change in the value of the account for the first 3 years

is $1.58.

When the independent variable is in the power of some function we call them an exponential function, For example, \(e^x\) is an exponential function.

Given, The value of the account, in dollars, can be modeled as

\(V(t) = 30(1.05)^t\).

Now at t = 3 or after 3 years, it is \(V(t) = 30(1.05)^3\).

V(3) = $34.73 and he initially deposited $30.

So, The average rate of change is $(34.73 - 30)/3 = $(4.73)/3 = $1.58.

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Answer:

it would be 250 + 95x

Step-by-step explanation:

x would be the amount of hours if there isnt a written amount.

there fore 250 = 95 is 345x unless there is a designated amount of hours

MAY NOT BE THE RIGHT ANSWER BECAUSE LACK OF INFORMATION!

The total points that the four students score in round 1 is 75 points.

Based on the information given, it's important to convert the numbers to while numbers and then add.

John has 19.5. This will be 20.

Adam had 21.2. This will be 21.

Peter has 23.8. This will be 24.

Grace has 10.2. This will be 10.

The total points will be:

= 20 + 21 + 24 + 10

= 75

The complete question is given below.

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The points of four students are:

John 19.5

Adam 21.2

Peter 23.8

Grace 10.2

About how many points did the four students score in round 1. Estimate by rounding each point total to the nearest whole number

Answer:

± x . x−3=±6 x - 3 = ± 6

Step-by-step explanation:

Answer:

2/12

Step-by-step explanation:

Simply just Add the different amounts of different crayons as your denominator, and find the number of red, as your numerator. This gets you 2/12

Answer:

they ate 7/12 of the pizza I think but sry if I am wrong

Answer:

Her average per day was 750 meters.

Step-by-step explanation:

To find the average, add all the numbers up in the set and divide by how many numbers there are.

650 + 675 + 725 + 800 + 900 = 3750. Divide it by 5 and you get 750

Answer:

750 meters

Step-by-step explanation:

Step 1: Add all the given data

650 + 675 + 725 + 800 + 900 = 3750

Step 2: Divide the result by the number of numbers she swam

3750/5 = 750

The average distance per day is 750 meters.

Answer:

can you please put your question points higher? anyway the answer is C

Step-by-step explanation:

Answer:

7739.5

Step-by-step explanation:

The equation of the normal line to the curve x^2y^2 = 4 at the point (-1,-2) is y = x - 1.

To find the tangent line and normal line to the curve x^2y^2 = 4 at the point (-1,-2), we need to determine the derivative of the curve equation with respect to x and evaluate it at the given point.

First, let's differentiate the equation x^2y^2 = 4 implicitly with respect to x using the chain rule:

2x * (y^2) + 2y * (2xy * dy/dx) = 0

Simplifying the equation, we have:

2xy^2 + 4xy(dy/dx) = 0

Now, let's find the value of dy/dx at the point (-1,-2). Substitute x = -1 and y = -2 into the equation:

2*(-1)(-2)^2 + 4(-1)*(-2)(dy/dx) = 0

Simplifying further:

8 + 8(dy/dx) = 0

8(dy/dx) = -8

dy/dx = -1

We have found the derivative dy/dx at the point (-1,-2), which is -1. This represents the slope of the tangent line to the curve at that point.

Using the point-slope form of a line, we can write the equation of the tangent line as:

y - y₁ = m(x - x₁)

Substituting the values of (-1,-2) and dy/dx = -1 into the equation, we have:

y - (-2) = -1(x - (-1))

y + 2 = -1(x + 1)

y + 2 = -x - 1

y = -x - 3

Therefore, the equation of the tangent line to the curve x^2y^2 = 4 at the point (-1,-2) is y = -x - 3.

To find the normal line, we know that the slope of the normal line is the negative reciprocal of the slope of the tangent line. Therefore, the slope of the normal line is 1.

Using the point-slope form of a line again, we can write the equation of the normal line as:

y - y₁ = m'(x - x₁)

Substituting the values of (-1,-2) and m' = 1 into the equation, we have:

y - (-2) = 1(x - (-1))

y + 2 = x + 1

y = x - 1

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Answer:

Domain { -3,1,5,6,9}

Range { -8,-6,3,5,7}

Step-by-step explanation:

The domain is the inputs

Domain { 6,9,-3,1,5}

We normally put them in order from smallest to largest

Domain { -3,1,5,6,9}

The range is the outputs

Range { -8,-6,3,5,7}

The domain is the set of all x-coordinates.

So here, the domain is {6, 9, -3, 1, 5} which we

can write in ascending order as {-3, 1, 5, 6, 9}.

Note that the domain is usually written in ascending order.

In other words, from least to greatest.

Next, the range is the set of all y-coordinates.

So here, the range is {-8, 3, 5, -6, 7} which we

can write in ascending order as {-8, -6, 3, 5, 7}.

Like the domain, the range is usually written in ascending order.

Answer:

Step-by-step explanation:

Yochanan traveled a total of 35 km in 1.5 hours, part by walking 5 km/h, and part by riding a bus at 60 km/h. You want to know the distances covered in each mode of transportation.

The relation between time, speed, and distance is ...

  distance = speed × time

Let t represent the time spent riding the bus. Then (1.5 -t) is the time spent walking. The total distance covered at the different speeds is the sum of products of speed and time:

  5(1.5 -t) + 60(t) = 35

Simplifying the equation gives ...

  7.5 +55t = 35

  55t = 27.5 . . . . . . . subtract 7.5

  t = 1/2 . . . . . . . . . divide by 55

  1.5-t = 1.5 -0.5 = 1 . . . . . time spent walking

The distance traveled by walking is ...

  (1 h)(5 km/h) = 5 km . . . . walking distance

The distance traveled by bus is ...

  (0.5 h)(60 km/h) = 30 km . . . . bus distance

Yochanan covered a distance of 35 km in 1.5 hours, some of it on foot at a speed of 5 km/h and some of it on a bus moving at 60 km/h.

In mathematics, it deals with numbers of operations according to the statements.

Here,
Let the time taken by the Yochanan to go through the bus be t.
time is taken to the bus stop through walk = 1.5 - t
Now,
According to the question,
5(1.5 - t) + 60t = 35
7.5 - 5t + 60t = 35
t = 0.5

Now,
Distance traveled by walk = 5(1.5 - 0.5) = 5 Km
Distance traveled by bus = 35 - 5 = 30 Km

Thus, Yochanan covered a distance of 35 km in 1.5 hours, some of it on foot at a speed of 5 km/h and some of it on a bus moving at 60 km/h.

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Answer: 82

Step-by-step explanation:

Sorry if I'm wrong but I hope this helps! :)

Answer:

The maximum possible difference between the largest and the smallest of these 5 numbers is 65( if numbers aren't repeated )

Answer:

try this!!

1. 14

2. 8

3. 48

4. 318

5. 23

6. 4

7. a) 10 b) 60 c) 8 d) 107

8. $1,532

9. 1

10. $15.50

11. .95

Step-by-step explanation:

Answer:

1. 14

2. 8

3. 48

4. 318

5. 23

6. 4

7. a) 10 b) 60 c) 8 d) 107

8. $1,532

9. 1

10. $15.50

11. .95

Step-by-step explanation:

Penn Foster

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer:Exact Form: one over 9  

1

9

Step-by-step explanation: ,..

Answer:

Beause In the first equation 3 is being multiplied by .1 and the second equation is being multiplied by 10

Step-by-step explanation:

1/10 In decimal for is .1 and .1 times 3 is .3

3 times 10 is 30 so therefore 3 x 1/10 less then 3x 10

Answer: 36 cm^3

Step-by-step explanation:

To solve this you multiply the length by the width by height (so 6x2x3) this is the same formula you use to solve volume for similar equations. 6x2x3 is 36 but you need to remember to add the unit of measurement and to cube it (^3). I hope this helps!!!!

Answer:

Cheryl stayed in the hotel for 2 weeks

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

No. Picture them as fractions. Is 3/4 the same as 4/3? No it isn't, and the ratios are the same way! No. Picture them as fractions. Is 3/4 the same as 4/3? No it isn't, and the ratios are the same way!

Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.

In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.

For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.

To find the image of point E under this translation, you can apply the same translation to point E:

Point E is located at (5, 5).

The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).

You can follow the same process to find the images of the other points under the translation.

Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.

In this case, the translation vector is given by the displacement from point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).

To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:

Point E is located at (5, 5).

The translation vector is (-8, -7).

The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).

You can follow the same process to find the images of the other points under the translation.

Step-by-step explanation:

Answer:

A.) The inverse is not well defined because it is not one-to-one.

B.) The inverse is f^-1 = (x -3)/2

Step-by-step explanation:

A.) The inverse is not well defined because there is not a subset X = {0}, X ⊆ A, thus the function is not one to one.

B.)  It is an inverse because it is both onto and one-to-one.

Inverse: y = 2x + 3

x = 2y + 3

x - 3 = 2y

y = (x - 3)/2

Answer: I only see 10 points

Step-by-step explanation:

To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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Answer:

m = 25 + 6n

Step-by-step explanation:

To write a function for the amount of money Makayla spent going to the movies during the club, you need to consider two things: the annual registration fee and the discounted ticket price. The annual registration fee is a fixed amount that does not depend on the number of movie tickets Makayla purchases. The discounted ticket price is a variable amount that depends on the number of movie tickets Makayla purchases. You can use a letter, such as n, to represent the number of movie tickets Makayla purchases. Then, you can write an expression for the amount of money Makayla spent on movie tickets, which is 6 times n, or 6n. To find the total amount of money Makayla spent going to the movies during the club, you need to add the annual registration fee and the amount of money spent on movie tickets. This gives you the expression 25 + 6n. You can use another letter, such as m, to represent the total amount of money Makayla spent going to the movies during the club. Then, you can write an equation that relates m and n, which is m = 25 + 6n. This equation is a function that models the amount of money Makayla spent going to the movies during the club as a function of the number of movie tickets she purchased.

The average weight of a male Florida panther rounded to the nearest whole number is 53 kg

What is average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Average weight = 52.6 kg

52.6

The number after decimal point is 6 which is more than 5.

So add  1 to the 52, we get 53

Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg

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The linear equation that passes through (-1, 8) and (5,-2) is:

y = (5/3)*x + 29/3

A general linear equation in the slope-intercept form is:

y = a*x + b

Where a is the slope, and b is the y-intercept.

If we know that this line passes trhough the points (-1, 8) and (5, -2) then we can write the slope as:

a = (-2 - 8)/(5 + 1) = -10/6 = 5/3

Then we can write:

y = (5/3)*x + b

Now to find the value of b we can replace the values of one of the points in the line, if we use (-1, 8) we will get:

8 = (5/3)*-1 + b

8 + 5/3 = b

24/3+  5/3 = b

29/3 = b

We conclude that the linear equation is:

y = (5/3)*x + 29/3

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