Samuel recorded the number of different types of pets his friends have in the table shown below: Cats 5 Dogs 3 Rabbits 1 Guinea
1 answer:
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Answer:
Option A, Left by 4 units
Step-by-step explanation:
<u>Step 1: Convert g(x) to a function square</u>
We currently have g(x) in this order:
However, we want g(x) to be in this order:
The first thing we have to do is to factor it out:
<u>Step 2: Now we can see which way we need to move it</u>
The original form is:
Since the - has changed to a +, that means that we moved -4 spaces down the x-axis. This means that we move left by 4 units.
Answer: Option A, Left by 4 units
<em>Look at the graphs below to make sure:</em>
Answer:
i (or no solution if you haven't learned about imaginary numbers yet)
Step-by-step explanation:
The first thing you want to do is isolate x, or get x alone.
7x²+46=32
=> 7x²+46-46=32-46
=>7x²=-14
=>7x²÷7=-14÷7
=>x²=-2
If you have learned about imaginary numbers read on. If not, you have to realize that squaring any number can't result in a negative number. This means that there is no solution.
If you have learned about imaginary numbers, read on.
Now that you have x^2=-2, you can take the square root of both sides.
x=
Using a property about square roots (I don't know what it's called)
the equation becomes:
x=
And since =i, you can substitute in this value in to get x=i
.
You're looking for the time 
that it takes for the principal 
to double, so 
. Dividing both sides of the formula by leaves you with
You're given that the account earns 0.75% interest and that the interest is compounded monthly, so
and 
.
You're given that the account earns 0.75% interest and that the interest is compounded monthly, so