Step-by-step explanation:
Let's solve your equation step-by-step.
−2x+8=10
Step 1: Subtract 8 from both sides.
−2x+8−8=10−8
−2x=2
Step 2: Divide both sides by -2.
−2x−2=2−2
x=−1
Answer:
Answer: The required value of y is 19.
Step-by-step explanation: We are given to find the value of y in the solution to the following system of equations :

Comparing equations (i) and (ii), we get

From equation (i), we get

Thus, the required value of y is 19.
Answer:
Option C. exponential decay function
Step-by-step explanation:
In this problem we have a exponential function of the form

where
y ---> is the money that is in the bank
x ----> number of days
a ---> is the initial value or y-intercept
b is the base of the exponential function
r ---> is the rate of change
b=(1+r)
In this problem we have that
Each day 1/2 of the money that is in bank value is removed
so
---> is negative because is a decreasing function
The value of b is equal to


The value of b is less than 1
b<1
That means -----> Is a exponential decay function
Answer:
y = 2(x + 3)² - 4
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
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form