<h3>
Answer:</h3>
- running speed: 8 mph
- walking speed: 2 mph
<h3>
Step-by-step explanation:</h3>
Let w represent Lizette's walking speed. Then her running speed is w+6. The relationship between speed, time, and distance is ...
distance = speed × time
Lizette ran for 1.5 hours, then walked for 3 hours. Her total distance is ...
(w+6)·1.5 + w·3 = 18
4.5w + 9 = 18 . . . . . simplify
4.5w = 9 . . . . . . . . . subtract 9
w = 2 . . . . . . . . . . . .divide by 4.5
Lizette's walking speed is 2 mph; her running speed is 8 mph.
Step-by-step explanation:
........ .......... ....
Answer:
-8, -7
Step-by-step explanation:
f(x)=x^2+15x+56
0 =x^2+15x+56
What two numbers multiply together to make 56 and add together to 15
7*8 = 56
7+8=15
0 = (x+8) (x+7)
Then use the zero product property
x+8 =0 x+7 =0
x+8-8 =0-8 x+7-7 =0-7
x=-8 x=-7
Answer:
For
, x = 2, or x = - 2.
Step-by-step explanation:
Here, the given expression is :

Now, using the ALGEBRAIC IDENTITY:

Comparing this with the above expression, we get

⇒Either (x-2) = 0 , or ( x + 2) = 0
So, if ( x- 2) = 0 ⇒ x = 2
and if ( x + 2) = 0 ⇒ x = -2
Hence, for
, x = 2, or x = - 2.
Answer:
y = 20 x = 6
Step-by-step explanation:
1 (3x+ 2y = 58 ------------> -3x + -2y = -58
1x + 2y = 46 --------------> 1x + 2y = 46
____________
-2x = -12
-----------------
-2x -2x
x = 6
3(6) + 2y = 58
18 + 2y = 58
-18 -18
------------------
2y = 40
----- -----
2y 2y
y = 20