Answer:
Equal 2 payments of 17.50$.
Answer: 8.4 miles per hour
Step-by-step explanation:
Since, total distance = 24.5 miles,
Time taken = ![175 \text{ minutes} = \frac{175}{60} \text{ hours} =\frac{35}{12} \text{ hours}](https://tex.z-dn.net/?f=175%20%5Ctext%7B%20minutes%7D%20%3D%20%5Cfrac%7B175%7D%7B60%7D%20%5Ctext%7B%20hours%7D%20%3D%5Cfrac%7B35%7D%7B12%7D%20%5Ctext%7B%20hours%7D)
Thus,
![\text{ The unit rate} = \frac{\text{ Total distance}}{\text{ Time taken}}](https://tex.z-dn.net/?f=%5Ctext%7B%20The%20unit%20rate%7D%20%3D%20%5Cfrac%7B%5Ctext%7B%20Total%20distance%7D%7D%7B%5Ctext%7B%20Time%20taken%7D%7D)
![=\frac{24.5}{35/12}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B24.5%7D%7B35%2F12%7D)
![=\frac{294}{35}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B294%7D%7B35%7D)
![=8.4\text{ miles per hour}](https://tex.z-dn.net/?f=%3D8.4%5Ctext%7B%20miles%20per%20hour%7D)
.7 is the answer to your question
Answer:
(- 2, 0 ) and (- 4, - 2 )
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
y = x² + 7x + 10 → (2)
Since both equations express y in terms of x we can equate them, that is
x² + 7x + 10 = x + 2 ( subtract x + 2 from both sides )
x² + 6x + 8 = 0 ← in standard form
(x + 2)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 4 = 0 ⇒ x = - 4
Substitute these values into (1) for corresponding values of y
x = - 2 : y = - 2 + 2 = 0 ⇒ (- 2, 0 )
x = - 4 : y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
Solutions are (- 2, 0 ) and (- 4, - 2 )