Answer:
y = 2(x - 1)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, - 3), thus
y = a(x - 1)² - 3
To find a substitute (- 1, 5) into the equation
5 = a(- 1 - 1)² - 3
5 = (- 2)²a - 3 ( add 3 to both sides )
8 = 4a ( divide both sides by 4 )
a = 2
Thus
y = 2(x - 1)² - 3 ← in vertex form
Answer:
7/1000
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's solve for x.
−3x+2y=−10
Step 1: Add -2y to both sides.
−3x+2y+−2y=−10+−2y
−3x=−2y−10
Step 2: Divide both sides by -3.
−3x
/−3
=
−2y−10
−3
x=
2
/3
y+
10
/3
Answer:
x=
2
/3
y+
10
/3
Answer:
The answer is B, 721
Step-by-step explanation:
edge 2021
Answer:
Example to help you out!
May rides her bike the same distance that leah walks. may rides her bike 10 km/h faster than leah walks. if it takes may 1 h and leah 3 h to travel that distance, how fast does each travel?
----------------------------------------
May DATA:
time = 1 hr. ; rate = x+10 mph ; distance = rt = (x+10)*1 mi
--------------------
Leah DATA:
time = 3 hr. ; rate = x mph ; distance = rt = 3x mi
-----------------------
Equation:
distance = distance
x+10 = 3x
2x = 10
x = 5 mph (Leah's rate)
x+10 = 15 mph (May's rate)
Step-by-step explanation:
