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Katena32 [7]
3 years ago
9

The price to travel in a taxi in a certain large city costs $2.50 for the initial fare and $0.50 per mile. The cost to ride in a

town car in the same city is $3 per mile. Which of the following is true?
The slope of the line for the graph representing the taxi cost is steeper than the slope of the line of the graph representing the town car.
The slope of the line for the graph representing the town car cost is steeper than the slope of the line of the graph representing the taxi.
The y-intercept on the graph of the town car is greater than the y-intercept of the graph of the taxi.
The y-intercept is zero for both graphs.

Mathematics
2 answers:
Debora [2.8K]3 years ago
6 0

I just want 5 piont just to ask a questuin

strojnjashka [21]3 years ago
3 0
The third one because the initial fee is $2.50 for the taxi so thats where the line is going to start there. the initial fee for the car is $3 so it will start there. $3 is more than $2.50 so its the third one.
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Two of the vertices of a rectangle are (1, −6) and (−8, −6). If the rectangle has a perimeter of 26 units, what are the coordina
pantera1 [17]

Answer:(x_1,y_1)=(1,-2)

(x_2,y_2)=(-8,-2)

Step-by-step explanation:

Given

Co ordinates of vertices(1,-6) and (-8,-6)

When two points is given then Length of two points is given by

L=\sqrt{\left ( x_2-x_1\right )^2+\left ( y_2-y_1\right )^2}

L=\sqrt{\left ( 1-\left ( -8\right )\right )^2+\left ( -6+6\right )^2}

L=\sqrt{9^2}=9 units

Perimeter of rectangle is =26 units

Let the other side be x

thus

2\left ( x+9\right )=26

x+9=13

x=4 units

therefore to get the other two co ordinates

such that the length of that side is 4 units is

(x_1,y_1)=(1,-2)

(x_2,y_2)=(-8,-2)

Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates

To verify the above two  distance between two points must be 13 units

6 0
3 years ago
Use the trigonometric subtraction formula for sine to verify this identity: sin((π / 2) – x) = cos x
KIM [24]

Answer:

Step-by-step explanation:

sin (\frac{\pi}{2} - x) = cos x \\\\ sin (a - b) = sin a.cos b - sin b.cos a \\\\ sin (\frac{\pi}{2} - x) = sin \frac{\pi}{2}.cos x - sin x.cos \frac{\pi}{2} \\\\ sin \frac{\pi}{2} = 1; cos \frac{\pi}{2} = 0 \\\\ sin (\frac{\pi}{2} - x) = 1.cos x - sin x.0 \\\\ sin (\frac{\pi}{2} - x) = cos x

I hope I helped you.

4 0
3 years ago
What is the solution of x+8/5x-1>0?
DerKrebs [107]

Answer:

x<-8 or x>1/5

Step-by-step explanation:

\frac{x+8}{5x-1} >0

First we replace > symbol by = sign

\frac{x+8}{5x-1} =0

To solve for x we multiply 5x-1 on both sides

x+8 =0

x=-8

5x-1=0 solve for x

x= 1/5

WE got two values x=-8  and x= 1/5

Now we make a number line and check with each interval

x<-8,  -8<x<1/5,  x>1/5

Pick x= -9 and check with the given inequality

\frac{-9+8}{5(-9)-1} >0

1/46 >0 is true, so x<-8 satisfies our inequality

Pick x= 0 and check with the given inequality

\frac{0+8}{5(0)-1} >0

-8 >0 is false , -8<x<1/5 does not satifies our inequality

Pick x= 2 and check with the given inequality

\frac{2+8}{5(2)-1} >0

10/9>0 is true , x>1/5  satisfies our inequality

3 0
3 years ago
Read 2 more answers
Need help with 7, 8, and 9 plz :]
Lelechka [254]
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8 0
3 years ago
Which graph best represents the feasibility region for the system shown above? ( pics are in this)
zalisa [80]

Consider the system of inequalities

\left\{ \begin{array}{l}  y\ge 2 \\  x\le 6 \\  y\le 3x+2 \\  y\le -x+10. \end{array}\right.

1. Plot all lines that are determined by equalities (see attached diagram)

\left\{ \begin{array}{l}  y=2 \text{ (red line)} \\  x= 6  \text{ (blue line)}\\  y=3x+2 \text{ (green line)} \\  y= -x+10  \text{ (orange line)}. \end{array}\right.

2. Determine which bounded part of the plane you should select:

  1. y\ge 2 means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
  2. x\le 6 means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);
  3. for y\le 3x+2 you can check where the origin is placed. Since 0\le 3\cdot 0+2, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
  4. for y\le -x+10 you can check where the origin is placed. Since 0\le -1\cdot 0+10, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.

3. According to the previous explanations, the shaded region is as in A diagram.

Answer: correct choice is A.


5 0
4 years ago
Read 2 more answers
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