<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.
Answer:
A solution curve pass through the point (0,4) when
.
There is not a solution curve passing through the point(0,1).
Step-by-step explanation:
We have the following solution:

Does any solution curve pass through the point (0, 4)?
We have to see if P = 4 when t = 0.




A solution curve pass through the point (0,4) when
.
Through the point (0, 1)?
Same thing as above




No solution.
So there is not a solution curve passing through the point(0,1).
The given trinomial can be factored using the factorization method.
x² - 2x - 24
The middle term should be written is such a way that the sum of two terms is equal to the middle one and their product should be equal to the product of first and third term. So the above expression can be written as
= x² -6x + 4x - 24
= x(x-6) + 4(x-6)
= (x-6)(x+4)
Thus, (x-6)(x+4) is the factored form of the polynomial.
So the correct answer is option B
Answer:
____________
the answer is B
___________
explanation
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(x^2 - 2x) - 3xy + 6y
Factor out the greatest common factor (GCF) from each group.
x(x - 2) - 3y (x - 2)
Factor the polynomial by factoring out the greatest common factor, x - 2
(x - 2) (x - 3y)
Answer:
54mph
Step-by-step explanation:
Answer:
= 54 miles per hour
Showing WorkThis is a fraction equal to
324 miles ÷ 6 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 6
324 miles
÷ 6
6 hours
÷ 6
=
54 miles
1 hour
=
54 miles
hour
= 54 miles per hour