Answer:
Step-by-step explanation:
The vertex would be the highest/lowest point so lets factor this first
when we factor we get
2(x^2+6x+8)
2(x+4) (x+2)
Using zero product property we find the 2 x values and x intercepts are
-4 and -2
the middle point of these points is -3
Substitute -3 for x and solve
2(-3+4) (-3+2)
2 * 1 * -1
2*-1
-2
(-3,-2) is the vertex
Answer:
1)
2)
Step-by-step explanation:
To find : Calculate the Laplace transforms of the following from the definition ?
Solution :
We know that,
Laplace transforms of is given by,
1)
Laplace of y,
here n=2
2)
Laplace of y,
here n=3
Answer:
c
Step-by-step explanation:
option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).
<u>Step-by-step explanation:</u>
We have , The given expression as Three-fourths x = negative 6 , which can be written as . Now in order to solve this equation in one step , we must notice that coefficient of x must be 1 but it's , Let's make coefficient of x as 1 by multiplying both side of equations by 4/3:
⇒
⇒
⇒
⇒
⇒
Therefore, x= -8 & correct option to solve the equation Three-fourths x = negative 6 for x in one step is <u>option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).</u>
Answer:
y=x+1/2z+-1/2
Step-by-step explanation:
Let's solve for y.
2x−2y+z=1
Step 1: Add -2x to both sides.
2x−2y+z+−2x=1+−2x
−2y+z=−2x+1
Step 2: Add -z to both sides.
−2y+z+−z=−2x+1+−z
−2y=−2x−z+1
Step 3: Divide both sides by -2.
-2y/-2 = -2-z+1/-2
y=x +1/2z+-1/2