The cost of soda is $4.75 and the cost of hot dog is $2.5
<u>Step-by-step explanation</u>:
<u>Let us assume :</u>
- The cost of soda be 'x'.
- The cost of hot dog be 'y'.
<u>Given that,</u>
The cost of 2 sodas and 3 hot dogs are $17.
⇒ 2x + 3y = 17 ------(1)
The cost of 5 sodas and 6 hot dogs are $38.75
⇒ 5x + 6y = 38.75 -------(2)
<u>Solving the equations to find x and y values :</u>
Multiply eq(1) by 2 and subtract eq(2) from eq(1),
4x + 6y = 34
-(<u>5x + 6y = 38.75</u>)
<u>-x = -4.75 </u>
The value of x = 4.75
The cost of soda is $4.75
Substitute x=4.75 in eq(1),
2(4.75) + 3y = 17
3y = 17 - 9.5
3y = 7.5
y = 7.5/3
y = 2.5
The cost of hot dog is $2.5
I do believe that Ben's statement is always true because of the fact that when you divide a positive by a negative, or a negative by a positive, it will always equal a negative. For the equation 5.4/-6.8 the answer is -0.79411764705. And the equation -6.8/5.4 is equal to -1.25925925926. It will always equal to less then zero, except when you divide by zero.
1. -4+5x^3-(-3y)^0
-1+-3=-4
3x^2+ 2x^1= 5x^3
9y^1-6y^1=14y^0
2. 2y-(-3x^5)+10
5y-3y=2y
-3x^1+-2x^2=-5x^3
-5x^3+2x^2=-3x^5
3. 3x+3y+8
4x^2+2x=6x^3
6x^3-3x^2=3x
7y-2y=4y
4y-y=3y
-5+(-3)=8
4. 6x^3+4y+2
3x^2+3x^1=6x^3
7y-2y=5y
5y-y=4y
I hope this helped
The equation that is satisfied by all of the plotted points would be F. 3x because the y-intercept is at 0 so there wouldn't be one and the graph has a ratio of 3/1 so for every 3 numbers the line moves up it moves 1 space to the right, also indicating that it is positive.
The answer is -1280
hope this helps
