Answer:
Option (B)
Step-by-step explanation:
Given question is not complete; find the complete question in the attachment.
In the graph attached,
Parent function is an absolute value function,
f(x) = |x|
When this graph is shifted 4 units left, rule for the translation will be,
f(x) → f(x + 4)
Therefore, the new function of above translation will be,
g(x) = f(x + 4) = |x + 4|
Now the graph is shifted 2 units down so the translated function will be,
h(x) = g(x) - 2
h(x) = |x + 4| - 2
If we rewrite the function in the form of an equation, graph will be represented by
⇒ y = |x + 4| - 2
Therefore, Option (B) will be the answer.
Answer:
The quadratic equation is x^2-2x-4
Step-by-step explanation:
We want to know the equation that has the solution below;
x = 1 ± √5
This means x = 1 + √5 or 1 - √5
The equation would thus be;
(x-1-√5)(x-1+ √5)
= x(x-1+ √5)-1(x-1+ √5)-√5(x-1+ √5)
Opening the brackets we have ;
x^2-x+ √5x-x + 1 -√5-√5x+ √5-5
collecting like terms we have;
x^2-2x+1-5
= x^2-2x-4
Given
One month julia collected 8.4 gallons of rainwater.
she used 5.2 gallons of rainwater to water her garden
6.5 gallons of rainwater to water flowers
Find out how much was the supply of rainwater increased or decreased by the end of the month.
To proof
As given in the question
One month julia collected 8.4 gallons of rainwater
she used 5.2 gallons of rainwater to water her garden and 6.5 gallons of rainwater to water flowers
Total water she used in the month = 5.2 gallons + 6.5gallons
= 11.7 gallons
Let the supply of rainwater increased or decreased by the end of the month
be x .
Than the equation become in the form
x + 8.4 = 11.7
x = 3.3 gallons
Therefore the supply of rainwater increased or decreased by the end of the month is 3.3 gallons.
Hence proved
Answer:
Event A = { Chevrolet , Buick }
Event B = { Ford , Lincoln }
Event C = { Toyota }
Step-by-step explanation:
- Mutually exclusive events are such that their probability of coming true simultaneously is zero. If we consider set notations we could say.
P (A & B) = P (B & C) = P (A & C) = 0
- In our case these events A,B, and C can be defined as:
Answer:
Event A = { Chevrolet , Buick }
Event B = { Ford , Lincoln }
Event C = { Toyota }
Answer: 
Step-by-step explanation:
You can find the value of "c" that will make it a perfect square trinomial by Completing the square.
Given the following expression provided in the exercise:
You can notice that it is written in this form:
Then, you can identify that the coefficient "b" is:
Since to complete the square you must add and subtract the half of square of coefficient "b", you can conclude that:
Therefore, substituting "b" into , you get:
