Answer:
(- 2, 15 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = 3x² - 2x - 1 → (1)
2x + y = 11 → (2) ← subtract 2x from both sides
y = 11 - 2x → (3)
Substitute y = 3x² - 2x - 1 into (3)
3x² - 2x - 1 = 11 - 2x ( subtract 11 - 2x from both sides )
3x² - 12 = 0 ( add 12 to both sides )
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ±
= ± 2
Substitute these values into (3) for corresponding values of y
x = - 2 : y = 11 - 2(- 2) = 11 + 4 = 15 ⇒ (- 2, 15 )
x = 2 : y = 11 - 2(2) = 11 - 4 = 7 ⇒ (2, 7 )
Answer:Abigail age=32 and Cynthia age=24
Step-by-step explanation:
X=7 and y=4 are the correct equations
Answer:
![m =-4](https://tex.z-dn.net/?f=m%20%3D-4)
Step-by-step explanation:
Given
![p(m-3 , -6) = p(-7 , -6)](https://tex.z-dn.net/?f=p%28m-3%20%2C%20-6%29%20%3D%20p%28-7%20%2C%20-6%29)
Required
Find m
![p(m-3 , -6) = p(-7 , -6)](https://tex.z-dn.net/?f=p%28m-3%20%2C%20-6%29%20%3D%20p%28-7%20%2C%20-6%29)
By comparison:
![m-3 = -7](https://tex.z-dn.net/?f=m-3%20%20%3D%20-7)
Add 3 to both sides
![m = -7+3](https://tex.z-dn.net/?f=m%20%3D%20-7%2B3)
![m =-4](https://tex.z-dn.net/?f=m%20%3D-4)
Answer:
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Step-by-step explanation:asdsadadasd