Answer:
p = 2 or p = - 18
Step-by-step explanation:
given = 5 ( multiply both sides by 2 )
| p + 8 | = 10
The expression inside the absolute value can be positive or negative
that is p + 8 = ± 10
p + 8 = 10 ⇒ p = 10 - 8 = 2
p + 8 = - 10 ⇒ p = - 10 - 8 = - 18
Answer:
5 solutions.
x=0
x=0
x=0
x=1
x=-1
Step-by-step explanation:
To solve this, we need to handle the radical function somehow, an easy approach is to raise to square power the whole equation, this way you can get rid of it.
sqr( x^(3/2) = x^(5/2) )=
x^3 = x^5
Now, lets group terms
x^5-x^3==0
GCF x^3
x^3(x^2-1)=0
The above equation gives us already 5 answer
In order to satisfy the equation there are two choices:
x^3=0 (a)
or (x^2-1)=0 (b)
From (a), we have that x=0, thus given one solution from here.
However, the amount of solutions is not just one, its 3, because the amount of solutions is linked to the exponent of the variable.
the other equation (b)
gives us x =sqrt(1), leading to x= -1 or x=+1
We have two solutions here, again, the exponent of the variable already tells us the amount of solutions,
Answer:
Domain { -6,3,4,6,10}
The range is the output values, listed from smallest to largest with no repeats
Range { -13,-9,2,14,19}
Step-by-step explanation:
The domain is the input values, listed from smallest to largest with no repeats
Domain { -6,3,4,6,10}
The range is the output values, listed from smallest to largest with no repeats
Range { -13,-9,2,14,19}
Answer:
Step-by-step explanation:
Firstly,
We can tell by reading the question that they sell 48 cupcakes witch is 4 dozens every hour so if they continue to sell at that same rate then:
There are 8 hours between 9am and 5pm
∴ It is 48:1
That means 48 cupcakes per hour this is equation is a direct proportion so if any number increases so will the other
So if it is 48:1 then x:8 with be = 48x8
∴ Sarah and Jean will be able to sell 384 cupcakes