Anne owns a used car lot and in order to get cars to sell, she buys used cars at an
auction place. It costs $200 to attend the auction and she buys used cars at
$2,000 each. Last Tuesday, she purchased 10 cars. Which of the following
functions correctly represents this situation in function notation?
f(x) = 10x + 200
f(x) = 200x + 2,000
f(x) = 2,000x + 10
f(x) = 2,000x + 200

Answer:

Some points are: (1, 4), (0, 9), and (3, -6), just to name a few.

Step-by-step explanation:

We can find out an ordered pair for this equation by plotting the line 5x + y = 9 on a graph. If you graph 5x + y = 9, then we see that the point (1, 4) is a point that the line intersects. Let's substitute that values:

5(1) + 4 = 9

Order of operations, multiply first...

5(1) = 5

Then it becomes...

5 + 4 = 9

We can see that 5 plus 4 actually does equal 9, so the point (1, 4) works. Let's try a different point. We can see the point (0, 9) is another point that the line intersects. Same process for this point too.

5(0) + 9 = 9

Then...

5(0) = 0

0 + 9 = 9

We see that 0 plus 9 ALSO works, but let's try one more time. Another point that works is the point (3, -6) Again, same process.

5(3) + -6 = 9

That is equal to:

5(3) - 6 = 9

Simplify...

5(3) = 15

15 - 6 = 9

15 minus 6 works as well! Any point that the line intersects will be a solution for the equation. I hope this helps!

Answer:

2/3

24/36

32/48

are all equivalent to 8/12

Answer:

32/48

Step-by-step explanation:

32 divided by 4 is 8

48 divided by 4 is 12

Answer:

The correction is  D

Step-by-step explanation:

From the question we are told that

    The maximum height is  [tex]h_m = 18 ft[/tex]

    The minimum height is [tex]h_i = 4 ft[/tex]

     The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds

 Now at maximum height

       [tex]18 = - 14 sin(x) + 18[/tex]

=>     [tex]-14 sin(x) =0[/tex]

=>     [tex]sin(x) =0[/tex]        

=>     [tex]x =sin^{-1}[0][/tex]

=>     [tex]x =0 \ s[/tex]    

 Now at minimum  height

        [tex]4 = -14 sin(x) + 18[/tex]

=>      [tex]-14 = -14 sin(x)[/tex]

=>     [tex]sin (x) = 1[/tex]

=>     [tex](x) = sin^{-1}[1][/tex]

=>     [tex]x = 1.6 \ s[/tex]

Now this values is the time taken to move from the higher position of the blade to the lower position of the blade

Now it will take this same amount of time to complete the circle

So the total time take is

    [tex]x_t = 2 * |x|[/tex]

=>   [tex]x_t = 2 * 1.6[/tex]

=>   [tex]x_t = 3.2 \ s[/tex]

Answer:

83 points.

Step-by-step explanation:

Answer:

A & B

Step-by-step explanation:

See attachment for complete question

Given

[tex]y = \frac{1}{2}x[/tex]

Analyzing the given options

Option A:

[tex]6y = 3x[/tex]

Divide both sides by 6

[tex]\frac{6y}{6} = \frac{3x}{6}[/tex]

[tex]y = \frac{3x}{6}[/tex]

[tex]y = \frac{1}{2}x[/tex]

This is true for the given expression:

Option B:

From the graph:

x = 2, when y = 1

x = 4, when y = 2

Solving for the slope:

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

[tex]m = \frac{2 -1}{4 - 2}[/tex]

[tex]m = \frac{1}{2}[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 1 = \frac{1}{2}(x - 2)[/tex]

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

Add 1 to both sides

[tex]y - 1 +1 = \frac{1}{2}x - 1 + 1[/tex]

[tex]y = \frac{1}{2}x[/tex]

This is also true for the given expression.

Option C:

From the graph:

x = 2, when y = 4

x = 4, when y = 8

Solving for the slope:

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

[tex]m = \frac{8 - 4}{4 - 2}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m =2[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 4 = 2(x - 2)[/tex]

[tex]y - 4 = 2x - 4[/tex]

Add 4 to both sides

[tex]y - 4 + 4= 2x - 4 + 4[/tex]

[tex]y = 2x[/tex]

This isn't true for the given expression.

Option (D):

From the table:

x = 2, when y = 1

x = 4 when y = 3

Solving for the slope:

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

[tex]m = \frac{3 - 1}{4 - 2}[/tex]

[tex]m = \frac{2}{2}[/tex]

[tex]m = 1[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 1 = 1 * (x - 2)[/tex]

[tex]y - 1 = x - 2[/tex]

[tex]y = x - 2 +1[/tex]

[tex]y = x - 1[/tex]

This isn't true for the given expression.

Answer:

A,B, and E

Step-by-step explanation:

trust me.

Answer:

Total cost of membership will be the same for both gyms after 5 months.

Step-by-step explanation:

Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.

Tami's Toning does not charge an application fee, but charges $14 per month for membership.

To find: After how many months will the total cost of membership be the same for both gyms

Solution:

Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms

For Suzy's Sculpting gym,

Total charges [tex]= 10+12t[/tex]

For Tami's Toning,

Total charges [tex]=14t[/tex]

Now solve [tex]10+12t=14t[/tex]

[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]

So, total cost of membership will be the same for both gyms after 5 months.

Answer:

80 degrees

Step-by-step explanation:

both intersections are the same, so we can count them as one. We notice that one line is a straight line compared to other so we can subtract 100 from 180 and get 80

Answer:

80

Step-by-step explanation:

Vertical angles equal 360 in total and the angles across from each other equal the same. 100 x 2 = 200

360-200 = 160

160/2 = 80

I hope this helps enjoy your day!

Answer:

(x + 5)(3x - 2)

Step-by-step explanation:

Assuming you require the expression factorised.

3x² + 13x - 10

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

The factors are + 15 and - 2

Use these factors to split the x- term

3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )

= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term

= (x + 5)(3x - 2) ← in factored form

Answer:

The answer is B.8 games,9 rides

The original price of the item was $70 if Joyce paid $31.50 for an item at the store that was 55 percent off the original price.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let x be the original price of the item. Then, we can write the equation:

x - 0.55x = 31.50

from the given expression we need to solve the value of x to get the original price if Joyce paid $31.50 for an item at the store that was 55 percent off the original price

Simplifying the given equation, we get:

0.45x = 31.50

Dividing both sides by 0.45, we get:

x = 70

Therefore, the original price of the item was $70.

To learn more about Algebraic expression from given link.

https://brainly.com/question/28884894

#SPJ1

Answer: A rotation of 180° around the origin.

Step-by-step explanation:

When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.

This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.

Now, let's analyze our case:

First a reflection over x-axis, and then a reflection over the y-axis.

This means that if our point starts in quadrant 1 then:

-The reflection over the x-axis will leave our point in quadrant 4.

-The reflection over the y-axis will leave our point in quadrant 3.

Now, if our point stated on quadrant 2.

-The reflection over the x-axis will leave our point in quadrant 3.

-The reflection over the y-axis will leave our point in quadrant 4.

So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.

This means that:

The distance between our point and the x-axis does not change.

The distance between our point and the y-axis does not change.

But if the distances to both axes do not change, then the distance between our point and the origin also does not change.

This means that we can find a rotation that is equivalent to this transformation.

So we must look at a rotation that moves our point 2 quadrants.

a rotation that moves our point 2 quadrants will be:

A rotation of 180° around the origin.

1. meters/second

2. $/pound

3. $/ tire

4. people/class

5. miles/gallons

6. calories/serving

Answer:

Hope it help you

Stayhomestaysafe

Plz mark my answer brainliest✍️✍️

Step-by-step explanation:

Answer is -4

REAL NAME - SHRESTH DUBEY

-4 is the Answer.

-32/8 would be -4

Answer:

42/6

Step-by-step explanation:

:P

Answer:

0

Step-by-step explanation:

5(x+3) replace x with -3

5(-3+3)

5(0)

0

Answer:

10

Step-by-step explanation:

1/3 of 24 is 8, and 1/4 is 6. 8+6=14, and 24-14=10. So I think that 10 people brought chips.

Answer:

10

Step-by-step explanation:

24 ÷ 3 = 8 so one third is 8

24 ÷ 4 = 6 so one fourth is 6

8 + 6 = 14 (14 people brought drinks or dessert)

24 - 14 = 10

ten people brought chips.

Answer:

n=3

Step-by-step explanation:

90×1/6=15 men

15*2=30 women

90-15-30=45 children

45 children: 15 men

3:1 ratio of children to men

n=3

Answer:

it is an acute angle

Step-by-step explanation:

less then 90° is a acute and above 90° angle is an obtuse

Answer:

b = 3/4

Step-by-step explanation:

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4

b = 3/4

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4

41 - 7 - 10 - 7 = 41 - 24 = 17.

The team scored 17 points in the last quarter.

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

Answer:

y = (-1/2)x + 4

Step-by-step explanation:

Slope (m): (-1/2)

down one, right two

y-intercept (b): 4

y = mx + b

The slope-intercept equation if the line is [tex]y=-\frac{1}{2}x+4[/tex]

To find the slope, you must put the 2 points into the slope equation.

[tex]\frac{3-4}{2-0}=\frac{-1}{2}[/tex]

And to find the y-intercept, you must find where the line crosses the y-axis.

(0,4)

If a=2 then you would have u=3b-2(2) or u=3b-4 :)

Answer:

Step-by-step explanation:

B= 2/3a-2//3+1/3u, u equals R, A equals r

A=3/2b+1-1/2u, u equals R b equals R

Answer:

$5.58

Step-by-step explanation:

Because divide 12 by 67:

67 ÷ 12 = 5.58

5.58 is the answer

Hope this helped! Pls Brainliest!

Answer:

$5.58

Step-by-step explanation:

$67.00÷12=$5.58

Hope this helps!

Answer:

x=8

Step-by-step explanation:

set the equations equal to themselves and solve

3x-9=2x-1

+9 and -2x

x=8

Check:

3(8)-9=2(8)-1

24-9=16-1

15=15