Answer:
I have a feeling that the answer is B. table 2
X=3
Just look at where the two lines intercept and see the x value
Answer:
y= 5x+13
Step-by-step explanation:
<u>Slope- intercept form</u>
y= mx +b, where m is the gradient and b is the y-intercept.
Parallel lines have the same gradient.
y= 5x +4
Gradient of given line= 5
Thus, gradient of line= 5
Subst. m=5 into the equation.
y= 5x +b
To find the value of b, substitute a coordinate
When x= -2, y=3,
3= 5(-2) +b
3= -10 +b
b= 3 +10 <em>(</em><em>+</em><em>1</em><em>0</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
b= 13
Thus, the equation of the line is y= 5x +13.
Answer:
x = - 1
Step-by-step explanation:
Length ( l ) = 2x + 8 cm
Width / Breadth ( b ) = 2 cm
Area ( rectangle ) = 12 cm
Formula : -
Area ( rectangle ) = lb
12 = ( 2x + 8 ) ( 2 )
Divide 2 on both sides,
12 / 2 = ( 2x + 8 ) ( 2 ) / 2
6 = 2x + 8
2x + 8 = 6
2x = 6 - 8
2x = - 2
x = - 2 / 2
x = - 1
Cost of the admission tickets: 11.75x
Cost of the box lunch: 5x
Expressions to find the total cost = (1) ....... 11.75x + 5x
That is equivalent to: (2) .......... (11.75 + 5)x = 16.75x.
Now calculate the cost for x = 5 using both expressions:
1) 11.75(5) + 5(5) = 58.75 + 25 = 83.75
2) 16.75(5) = 83.75
Of course you got the same result with both expressions.