Answer:
Manny will need an 94.
Step-by-step explanation:
85 x 4 =340
82 x 3= 246
340-246= 94.
Answer:
(- 1, 8 ) and (5, 2 )
Step-by-step explanation:
Given the 2 equations
y = - x + 7 → (1)
y = 0.5(x - 3)² → (2)
Substitute y = 0.5(x - 3)² into (1)
0.5(x - 3 )² = - x + 7 ← expand and simplify left side
0.5(x² - 6x + 9) = - x + 7 ( multiply both sides by 2 )
x² - 6x + 9 = - 2x + 14 ( subtract - 2x + 14 from both sides )
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = 1 + 7 = 8 ⇒ (- 1, 8 )
Option d, because 6 can be divided by 2 and that’s 3, and 10 can be divided by 2 and that’s 5 !!
For these equations, we are going to use the slope formula, as defined below (
is slope and 
and 
are coordinate points):
We can simply "plug in" the coordinates we are given:
Our answers are:
Super easy just add 2 in front of Na H CO3(s). Your formula will be balanced.
