What is 3 2/5⋅2 1/3 ?
A. 5 2/15
B. 6 2/15
C. 7 14/15
D. 8 1/15

Subtract the cost from the revenue:

(-0.32x^2+270x) - (70x+52)

270x - 70x = 200x

The answer would be -0.32x^2 + 200x + - 52

Answer:

P(x) = -0.32x² + 200x + (-52)

Step-by-step explanation:

A company sells lab equipment. Daily revenue and costs are modeled by the function as given in the question.

Revenue:             R(x) = -0.32x² + 270x

Cost :                   C(x) = 70x + 52

Here x = Number of units sold.

Now we have to determine the function P(x) for daily profit.

Since Profit = Revenue - Cost

            P(x) = R(x) - C(x)

            P(x) = (-0.32x² + 270x) - (70x + 52)

                   = -0.32x² + 270x - 70x - 52

            P(x) = -0.32x² + 200x - 52

Therefore, answer will be P(x) = -0.32x² + 200x + (-52)

The values of the slope and y-intercept are m=8 and b=−25

m=8

b=−25

To find the slope you would use the slope formula since you have two point coordinates. The slope formula is:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where y2 and y1 are the y coordinates of the two points and x2 and x1 are the x coordinates of the two points.

Substitute in 7 and -1 for y2 and y1; substitute in 4 and 3 for x2 and x1. Now your expression should look like:

[tex]\frac{7-(-1)}{4-3}[/tex]

Subtract -1 from 7, which is basically the same as 7 + 1. Then subtract 3 from 4. Once you complete these steps you can rewrite your fraction.

[tex]\frac{7+1}{4-3} =\frac{8}{1} =8[/tex]

The final answer is 8 after substituting the appropriate coordinates into the slope formula. This means that the slope of the line passing through the points (3, -1) and (4, 7) is 8.

The answer is: the slope of the line is 8.

Final answer:

Joseph's new balance, after borrowing more money which equals 5 times his initial debt of $15, is -$75.

Explanation:

Joseph initially owes his older brother $15, which can be represented as a balance of -$15. If Joseph's new balance is 5 times the previous amount, we would perform the following calculation:

Previous balance x 5 = New balance

So we would multiply -$15 by 5:

-$15 x 5 = -$75

Therefore, Joseph's new balance with his brother is -$75.

Answer:

the answer is no

Step-by-step explanation:

8²+12²≠16²

(0, 5), (1, 1 ), ( - 1, 9 )

to test the points substitute the x-coordinate into the equation and if the value is equal to the y- coordinate then it is an ordered pair

(0, 5 ) → y = 0 + 5 = 5 ← ordered pair

(1, 1 ) → y = - 4 + 5 = 1 ← ordered pair

(- 1, 9 ) → y = 4 + 5 = 9 ← ordered pair

( - 1, - 1 ) → y = 4 + 5 = 9 ← not an ordered pair

( - 1, - 9 ) → y = 4 + 5 = 9 ← not an ordered pair

(1, - 1 ) → y = - 4 + 5 = 1 ← not an ordered pair

(- 1, 1 ) → y = 4 + 5 = 9 ← not an ordered pair

How to get answer:

[tex]\mathrm{Group\:like\:terms}\\4x+8=2x+2x+7-20\\\mathrm{Add\:similar\:elements:}\:2x+2x=4x\\4x+8=4x+7-20\\\mathrm{Add/Subtract\:the\:numbers:}\:7-20=-13\\4x+8=4x-13\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\4x+8-8=4x-13-8\\\mathrm{Simplify}\\4x=4x-21\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\4x-4x=4x-21-4x\\Simplify\\0=-21\\The\:sides\:are\:not\:equal\\[/tex]

Steps:

4x + 8 = 2x + 7 + 2x - 20

Group like terms:

4x + 8 = 2x + 2x + 7 - 20

Add similar elements: 2x + 2x = 4x

4x + 8 =4x + 7 - 20

Add/Subtract the numbers: 7 - 20 = -13

4x + 8 = 4x - 13

Subtract 8 from both sides

4x + 8 - 8 = 4x - 13 - 8

Simplify:

4x = 4x - 21

Subtract 4x from both sides:

4x - 4x = 4x - 21 - 4x

Simplify

0 = -21

Hope this helps! :) and Happy Halloween! ~Zane

Answer:

90.5

Step-by-step explanation:

 0 9 0. 5 0 0

1 1 9 9 5. 5 0 0

 − 0          

   9 9        

 − 9 9        

     0 5      

   −   0      

       5 5    

     − 5 5    

         0 0  

       −   0  

           0 0

         −   0

             0

Answer:

{x,y} = {12,5}

Step-by-step explanation:

Tiger Algebra Solver logo

The Tiger Algebra Tiger

Algebra Calculator | Latest | Discuss | About | Help | Translation

23,965,445 solved | 1,065 online

3x-7y=1;-x+y=-7

Solution :

{x,y} = {12,5}

System of Linear Equations entered :

  [1]    3x - 7y = 1

  [2]    -x + y = -7

Graphic Representation of the Equations :

   -7y + 3x = 1        y - x = -7  

Solve by Substitution :

// Solve equation [2] for the variable  y

 [2]    y = x - 7

// Plug this in for variable  y  in equation [1]

  [1]    3x - 7•(x -7) = 1

  [1]    -4x = -48

// Solve equation [1] for the variable  x

  [1]    4x = 48

  [1]    x = 12

// By now we know this much :

   x = 12

   y = x-7

// Use the  x  value to solve for  y

   y = (12)-7 = 5

Solution :

{x,y} = {12,5}

<7 = 62° ----alternate exterior angle

Answer is C) < 7

Answer:

It's 3.14x10^1

Step-by-step explanation:

Here in the given equation, 3x + 8 the term 8 represents the weight of the empty bucket.

Its given that the number of marbles is x, and the weight of each marble is same which is 3. So, total weight of marbles is 3x.

Now, if 3x + 8 is the weight of the bucket and marbles, then 8 represents the weight of the empty bucket.

Answer:

24 spark plugs

Step-by-step explanation:

To find smallest quantity that could accommodate every order we will find LCM of 4,6 and 8.

Multiples of 4 are: 4,8,12,16,20, 24,28,..

Multiples of 6 are: 6,12,18,24,30,36,42,..

Multiples of 8 are: 8,16,24,32,40,..    

We can see that LCM of 4, 6 and 8 is 24. Therefore, order of 24 spark plugs will accommodate every order.

65X60/45=260/3km/hr=86.66km/hr

p^q , p-> q and ~p ^ q . all these three statements will give false when p is true and q is false

Answer:

1. You divide by 3 then multiply by 1 and multiply by 3 again

2. Slope of -3

3. Slope of 0

Step-by-step explanation:

Hello there!

[tex]1-f=\frac{9}{10}[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to subtract by 1 from both sides of the equation.

[tex]1-f-1=\frac{9}{10}-1[/tex]

Simplify

[tex]-f=-\frac{1}{10}[/tex]

Then you divide by -1 from both sides of the equation.

[tex]\frac{-f}{-1}=-\frac{1}{10}/-1[/tex]

Simplify it should the correct answer.

[tex]f=\frac{1}{10}[/tex]

Answer⇒⇒⇒f=1/10

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Answer:

The statement is true.

Step-by-step explanation:

Given the statement we have to tell the statement is true or false.

The statement is

"The circumcenter of a triangle is the center of the only circle that can be circumscribed about it"

The circumcenter of triangle is the point in the triangle where the perpendicular bisectors of sides intersect.

The center of the circumscribed circle is the the point where the perpendicular bisectors of the sides meet.

Hence,

The circumcenter is also center of the triangle's circumcircle - the circle that pass through all three of the triangle's vertices.

Therefore, the given statement is true.

Answer:

True

Step-by-step explanation:

Circumcircle: A circle drawn outside a circle is called circumcircle and its center is called circum-center.

Circum-center of triangle:It is the point where the perpendicular bisectors of a  triangle intersect.

The circumcenter of triangle is also the center of triangle's circumcircle.

The circumcenter is equidistant from each vertex of the triangle.

The circumcenter of right triangle falls on the side opposite the right triangle.

Hence, the circumcenter of a triangle is the center of the only circle that can be circumscribed about it.

Answer :True

(x + 7)² = 20

subtract 34 from both sides

x² + 14x = - 29

add (half the coefficient of the x- term )² to both sides

x² + 2(7)x + 49 = - 29 + 49

(x + 7)² = 20

Parabola A: directrix is at x = -1 and focus is at (2,2) so the vertex is the midpoint between those.  Vertex = (0.5, 2)

Parabola B: directrix is at x = 5 and focus is at (2,2) so the vertex is the midpoint between those.  Vertex = (3.5, 2)

Distance between Vertex A and Vertex B is the distance between (0.5, 2) and (3.5, 2) = 3

Answer: B

Given my current rate = $129.00 per month.

Savings of 15% over your prices.

Therefore, saving = 15% of $129.00 = 0.15 × 129.00 =$19.35.

Adjusted rate = current rate - saving = 129 - 19.35 = $109.65

Therefore, We can rewrite above expression as :

My current rate is $129.00 per month." Representative: "We will match any competitive offer. Your adjusted rate will be 109.65 dollars per month."

If my current rate is $129.00 per month. Your adjusted rate will be $109.65 dollars per month.

Using this formula

Adjusted rate = Current rate - Adjustment

Where:

Current rate=$129

Adjustment=(15%×$129)

Let plug in the formula

Adjusted rate=$129-(15%×$129)

Adjusted rate = $129 - $19.35

Adjusted rate =$109.65 per month

Inconclusion your adjusted rate will be $109.65 dollars per month.

Learn more about adjusted rate here:https://brainly.com/question/545887

You need to know the 30-60-90 triangles rules for lengths. (b, b√3, 2b)

the given side length of corresponds to the 30° angle.  So, b = 8

side y corresponds to the 60° angle so it is b√3. Since we determined that b = 8, then b√3 is 8√3.

side x corresponds to the 90° angle so it is 2b.  Since we determined that b = 8, then 2b = 2(8) = 16

Answer: x = 16, y = 8√3

Answer:

Can you attach a picture of the diagram?

Step-by-step explanation:

Answer:

9.42 Square Units

How:

You need to use the sector area formula.

Sector Area = Measure of Arc / 360° × π r²

So then you just plug in the numbers:

Sector Area = 45° / 360° × π 5²

Sector Area = 1/8 × 25π

Sector Area = 9.817477

Sector Area = 45° / 360° × π 7²

Sector Area = 1/8 × 49π

Sector Area = 19.242255

Then all you have to do is subtract them both to find the area.

19.242255 - 9.817477 = 9.42 Square Units

I Hope this helped!

Hello!

Given the function, [tex]f(x) = 2(\frac{1}{2})^{x}[/tex], notice that the function f(x) is an exponential function.

All exponential functions have a horizontal asymptote at y = 0, and this means that the graph never goes over the line y = 0. Therefore, the range is less than zero, but never equal to zero.

Also, this means that the domain of the function f(x) is all real numbers because as we substitute positive x-values into the function, the graph goes closer to zero, but never across zero. But, if we substitute negative x-values into the equation, it goes to infinity.

Therefore, the answer is choice C. The domain of f(x) is all real numbers, and the range is y > 0.

We want to find the domain and range of the given equation.

We will see that the correct option is C:

Domain: all real numbers;

Range: y > 0

First, we need to define what these are.

For a given function y = f(x), the domain is the set of all the possible x-values we can input on the function, and the range is the set of the possible outcomes.

We have the exponential equation:

f(x) = 2*(1/2)^x

To get the domain we start by assuming that the domain is the set of all real numbers, and then we see if the equation has a problem for a given value of x, then we remove that from the domain.

But here we have x on the exponent, so there are no value of x that causes problems, thus the domain is the set of all real numbers.

To get the range we can look at the graph, we can see that the range goes from near 0 to infinity, so we can say that:

range = y > 0.

(note that the function tends asymptotically to zero, meaning that it never becomes equal to zero).

Then the correct option is C:

Domain: all real numbers;

Range: y > 0

If you want to learn more, you can read:

https://brainly.com/question/21853810

55a and 22b both are terms in that equation