As a salesperson at Trading Cards Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sells $500 worth of merchandise in one month, he is paid $410. If he sells $900 of merchandise in one month, he is paid $498.​

Answer:

The new slope is 1 and the line is shifted flatter.

Step-by-step explanation:

Line A slope is 4.

Line B slope is 1.

The y-intercept rose up 3

As far as slope, it became flatter because the line only rises 1 'square' for every 1 'square' it travels to the right. It was rising 4 'squares' for every 1 to the right.  

Answer:

x = - 2

Step-by-step explanation:

- 8 = - 2x - 12

- 8 + 12 = - 2x - 12 + 12

- 2x = 4

- 2x ÷ - 2 = 4 ÷ - 2

x = - 2

Answer:

[tex]\displaystyle w=\frac{9}{2}=4.5[/tex]

Step-by-step explanation:

We can use slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So:

[tex]\displaystyle m=\frac{4-w}{-10-(-6)}=\frac{4-w}{-10+6}=\frac{4-w}{-4}[/tex]

We are given that this equals 1/8. Therefore:

[tex]\displaystyle \frac{4-w}{-4}=\frac{1}{8}[/tex]

Solve for w. Cross-multiply:

[tex]-4(1)=8(4-w)[/tex]

Distribute:

[tex]-4=32-8w[/tex]

Isolate:

[tex]-8w=-36[/tex]

So:

[tex]\displaystyle w=\frac{-36}{-8}=\frac{9}{2}=4.5[/tex]

Answer:

[tex]\frac{3}{10} , 0.48 , 0.73[/tex]

Step-by-step explanation:

In order to put this number in order from least to greatest, we have to turn them into fractions with the same denominator, so firstly we write down all of the decimals as fractions, and we will get...

[tex]0.48 = \frac{48}{100} \\\\0.73 = \frac{73}{100}[/tex]

Now, we need to find the smallest number that is divisible by 100 and by 10, and this number will be the least common denominator. The smallest number that is divisible by 100 and by 10 is 100, therefore 100 is the least common denominator. Now we have to make all of the fractions have the denominator of 100 and we do that in the following way...

[tex]\frac{48}{100}= \frac{48}{100}\\\\\frac{73}{100} = \frac{73}{100}\\\\\frac{3}{10} = \frac{(3)(10)}{(10)(10)} = \frac{30}{100}[/tex]

By looking at this we need to understand that...

[tex]\frac{30}{100}<\frac{48}{100}<\frac{73}{100}[/tex]

Therefore...

[tex]\frac{3}{10} < 0.48 < 0.73[/tex]

Given:

The vertices of a triangle are [tex](1,1),(-1,-1),(-\sqrt{3},\sqrt{3})[/tex].

To prove:

The given vertices are the vertices of an equilateral triangle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let the vertices of the triangle are [tex]A(1,1),B(-1,-1),C(-\sqrt{3},\sqrt{3})[/tex]. Then, by using the distance formula, we get

[tex]AB=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]

[tex]AB=\sqrt{(-2)^2+(-2)^2}[/tex]

[tex]AB=\sqrt{4+4}[/tex]

[tex]AB=\sqrt{8}[/tex]

Similarly,

[tex]BC=\sqrt{(-\sqrt{3}-(-1))^2+(\sqrt{3}-(-1))^2}[/tex]

[tex]BC=\sqrt{(1-\sqrt{3})^2+(1+\sqrt{3})^2}[/tex]

[tex]BC=\sqrt{(1)^2+(\sqrt{3})^2-2\sqrt{3}+(1)^2+(\sqrt{3})^2+2\sqrt{3}}[/tex]

[tex]BC=\sqrt{1+3+1+3}[/tex]

[tex]BC=\sqrt{8}[/tex]

And,

[tex]CA=\sqrt{(1-(-\sqrt{3}))^2+(1-\sqrt{3})^2}[/tex]

[tex]CA=\sqrt{(1+\sqrt{3}))^2+(1-\sqrt{3})^2}[/tex]

[tex]CA=\sqrt{(1)^2+(\sqrt{3})^2+2\sqrt{3}+(1)^2+(\sqrt{3})^2-2\sqrt{3}}[/tex]

[tex]CA=\sqrt{1+3+1+3}[/tex]

[tex]CA=\sqrt{8}[/tex]

Clearly, [tex]AB=BC=CA[/tex].

Since all sides of the given triangle are equal, therefore the given vertices are the vertices of an equilateral triangle.

Hence proved.

Answer:

85 miles

Step-by-step explanation:

He needed to travel a total of 210 miles

He had already traveled 125 miles on bus

And he traveled the rest of the length on the train

If we want to find the distance he traveled on train we simply subtract total distance by distance traveled on bus

So distance traveled on train = 210 - 125 = 85

So he traveled a total of 85 miles on train

Answer:

rv = 18

Step-by-step explanation:

if rt is 36, rv is half of that so you take 36 and divide by 2 and get 18,

have a great day!!

Answer:

18

Step-by-step explanation:

Because i have parallegram RSTU

=> RT = 2*RV = 2*VT

SU = 2* SV = 2*VU

Answer:

You multiply length by width.

Step-by-step explanation:

To find the area of a rectangle you multiply length and width together.

For example if a rectangle has length 2 and width 3 the area of the rectangle would be 6, since 2 * 3 is 6.

Answer:area =length x width

Step-by-step explanation:

The focus is the point inside a parabola that helps determine the shape of the curve.

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

We have,

A parabola is a type of curve that is formed when a plane intersects a cone at an angle that is parallel to one of the cone's sides.

One of the key defining features of a parabola is that all points on the curve are equidistant from a fixed point, known as the focus, and a fixed line, known as the directrix.

The focus is located inside the parabola, and its distance from the directrix is equal to the distance from any point on the parabola to the directrix.

This property allows us to use the focus and directrix to determine the shape and location of the parabola.

Thus,

The focus is the point inside a parabola that helps determine the shape of the curve.

Learn more about parabola here:

https://brainly.com/question/21685473

#SPJ2

Answer:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

Answer:

Each raffle ticket cost $3.

Answer:

Step-by-step explanation:     6  29  7  42

6)  a number x increased by -18

             x + (-18)    

   or       x -  18

7)    x subtracted from its reciprocal

              1/x  - x  

8)   two numbers have the sum of 11, one number is q find the other

             x + q = 11

             x + q - q = 11 - q       q - q = 0

              x + 0  = 11 - q

              x = 11 - q

9)    six is added to 4 times a number equals 42, find the number

      ( I don't know the six steps discussed in class.  This is how I would do it)

             6 + 4x = 42

             6 - 6 + 4x = 42 - 6              isolate the variable,  - 6 from both sides

             0 + 4x = 36                            6 - 6 = 0,  43 - 6 = 36, solve for x

                4x/4 = 36/4                      divide both sides by 4

                  1x  =  36 /4                        4/4 = 1

                  x  =   9                            

Answer:

B 63 units

Step-by-step explanation:

Dilatation is an increase of shape , a larger imagine , the dilatation is 3 so times each side by three and add them all up

Answer:

yards

Step-by-step explanation:

Answer:

Which is greater, 2 miles

1 mile = 1760 yards

2 miles = 2 * 1760

2 miles = 3,520 yards

How much greater?

3,520 - 1000 = 2520 yards

Given:

The expression is:

[tex]13-\dfrac{5}{y}[/tex]

To find:

The description that matches the given expression.

Solution:

We have,

[tex]13-\dfrac{5}{y}[/tex]

Here, [tex]\dfrac{5}{y}[/tex] is describes as the quotient of five and a number and the minus sign describes the difference between 13 and the quotient.

So, the description that matches the given expression is "difference of thirteen and the quotient of five and a number".

Therefore, the correct option is C.

Answer:

the difference of thirteen and the quotient of five and a number

Step-by-step explanation:

Answer:

volumn= l*b*h

4x*2x*1x= 8000 cm3

8x= 8000 cm3

x= 1000cm3

length = 4000

breadth= 2000

height = 1000

Answer:

honestly for division of fractions the only sentence you need to know is...

"mine is not to question why, but to invert and multiply"...

fractional division can be done with "an inverse multiplication:

5/6 ÷ 1/6 can be changed to 5/6 * 6/1 = 30/6 = 5

3/5 ÷1/10 can be changed to 3/5 * 10/1 = 30/5 = 6

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

assuming this is what you mean:

(5x+2)=42

try to

isolate the variable by subtracting 2 from both sides

5x=40

continue to isolate the variable

divide by 5 on both sides

5x/5=40/5

x=8

Answer:

a

Step-by-step explanation:

first one i believe

Answer:

[tex]\sum\limits^3_{k=1}(k^3 - 6) = 18[/tex]

Step-by-step explanation:

Given

[tex]\sum\limits^3_{k=1}(k^3 - 6)[/tex]

Required

Evaluate

This means that we substitute 1 to 3 for k.

So, we have:

[tex]\sum\limits^3_{k=1}(k^3 - 6) = (1^3 - 6)+(2^3 - 6)+(3^3 - 6)[/tex]

[tex]\sum\limits^3_{k=1}(k^3 - 6) = (1 - 6)+(8 - 6)+(27 - 6)[/tex]

[tex]\sum\limits^3_{k=1}(k^3 - 6) = -5+2+21[/tex]

[tex]\sum\limits^3_{k=1}(k^3 - 6) = 18[/tex]

Answer:

x = 14000

Step-by-step explanation:

Function representing the cost to the company,

C(x) = -27x² + 51000x + 20433

Function defining the revenue generated,

R(x) = -36x²+ 303000x

Since, Profit to the company = Revenue - Cost

                                                = R(x) - C(x)

P(x) = -36x² + 303000x - (-27x² + 51000x + 20433)

      = -36x² + 27x² + 303000x - 51000x - 20433

P(x) = -9x² + 252000x - 20433

To maximize the profit,

P'(x) = -18x + 252000 [Derivative of the function P(x)]

P'(x) = 0

-18x + 252000 = 0

18x = 252000

x = 14000

Therefore, for the maximum profit company has to produce and sell 14000 phones.

[tex]\longrightarrow{\green{ C. \:4 \sqrt{5} }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] = \sqrt{2} \times \sqrt{5} \times \sqrt{8} [/tex]

[tex] = \sqrt{2 \times 5 \times 8} [/tex]

[tex] = \sqrt{2 \times 5 \times 2 \times 2 \times 2} [/tex]

[tex] = \sqrt{(2 \times 2) \times (2 \times 2) \times 5} [/tex]

[tex] = \sqrt{ {2}^{2} \times {2}^{2} \times 5} [/tex]

[tex] = \sqrt{ {2}^{2} } \times \sqrt{ {2 }^{2} } \times \sqrt{5} [/tex]

[tex] = 2 \times 2 \sqrt{5} [/tex]

[tex] = 4 \sqrt{5} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

[tex]\sf Q) \sqrt{2} \times \sqrt{5} \times \sqrt{8}[/tex]

[tex]\sf\implies \sqrt{2 \times 5 \times 8}[/tex]

[tex]\sf\implies \sqrt{2 \times 5 \times 2 \times 2 \times 2}[/tex]

[tex]\sf\implies \sqrt{(2 \times 2) \times (2 \times 2) \times 5}[/tex]

[tex]\sf\implies \sqrt{ {2}^{2} \times {2}^{2} \times 5}[/tex]

[tex]\sf\implies \sqrt{ {2}^{2} } \times \sqrt{ {2 }^{2} } \times \sqrt{5}[/tex]

[tex]\sf\implies 2 \times 2 \sqrt{5}[/tex]

[tex]\sf\implies 4 \sqrt{5}[/tex]

Answer:

R6.775

Step-by-step explanation:

Given that :

The transaction fee charged is calculated using the relation :

Transaction fee = R2.50 + 0.95%(amount deposited)

If amount to deposit is R450 ; the bank charge will be:

R2.50 + 0.95%(Amount deposited)

R2.50 + 0.0095(450)

R2.50 + R4.275

R(2.50 + 4.275)

R6.775

Answer:

[tex]= \frac{2x-3\sqrt{x} }{x-1}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}[/tex]

Expand

[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}\\= \frac{x+2\sqrt{x}+1+(x-2\sqrt{x} +1) }{x-1}- \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1}{x-1} - \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1-(3\sqrt{x} +1)}{x-1}\\= \frac{2x-3\sqrt{x} +1-1}{x-1}\\= \frac{2x-3\sqrt{x} }{x-1}[/tex]

This gives the simplified form

Answer:

67

Step-by-step explanation:

we are given adjacent and opposite sides. thus tan^-1 would be used to determine the angle

opposite side = 665 - 5 = 660

adjacent side = 280

tan = opposite / adjacent

[tex]tan^{-1}[/tex] (660/280) = 67

Answer:

67

Step-by-step explanation:

I took it on EDG

Answer:

y = -5x - 9

Step-by-step explanation:

y = -5x + b

6 = -5(-3) + b

6 = 15 + b

b = -9