D=rt and we are told d=546 and r=1.3m/s so
1.3t=546 divide both sides by 1.3
t=420 seconds so
420s(min/60s)=7 min
So it takes him 7 minutes to walk to Sara's house.
62,349,984
hope it helps!!
Answer:
$180
Step-by-step explanation:
Since the cost of the telescope with the 30% discount is $126 then $126 is 70% of the original price. Remember 100-30=70. To find the original price set up a proportion with these values:
Solve for the original price by cross multiplying numerator with denominator.
x(70) = 126(100)
70x = 12600
x= $180
Answer:
x = -2,1, 2
Step-by-step explanation:
g(x) = (x + 2)(x − 1)(x − 2)
Assuming we are looking for the roots
0 = (x + 2)(x − 1)(x − 2)
Using the zero product property
0 = x+2 0 =x-1 0 = x-2
x=-2 x = 1 x =2
f (x ) = 2 x + 5
For g (x) we will solve the system:
- 1 =-2 m + b
+
-9 = 2 m + b
----------------------
-10 = 2 b, b = -5
-9 = 2 m - 5
2 m = -4
m = -2
g ( x ) = - 2 x - 5
For h (X):
m = (-1-5 ) / ( 3-0 ) = -6/3 = -2
5 = 0 + b, b = 5
h ( x) = - 2 x + 5.
Now we have 4 linear functions:
1 ) f ( x ) = 2 x + 5
The slope is m = 2, y - intercept: y = 5 , zero: x = -2.5 and the function increases ( m > 0 ).
2 ) g(x) = - 2 x - 5
The slope is m = - 2, y-intercept: y =-5 , zero: x = -2.5 and the function decreases ( m < 0 ).
3 ) h ( x ) = - 2 x + 5
The slope is m = - 2, y - intercept . y = 5, zero: x = 2.5 and the function decreases.
4 ) j (x) = 2 x + 5
The slope is m = 2, y -intercept: y = 5, zero: x = -2.5 and the function decreases.
The functions f( x ) and j ( x ) are parallel and also g( x ) and h ( x ). They have the same slope.
The functions f ( x ) and j (x ) are increasing and h ( x ) and h ( x ) are decreasing.
