First, we need to set up the equation.
y = amount
x = new customer
Daniel gets 10 dollars each week. Let's think of this as a base pay, there's no variable to it.
So we start with 10.
Next, we have 3.50 dollars each week for each new customer.
So that would be 3.50 times each new customer which would become 3.50x
When you put those two together, you get y = 10 + 3.50x.
Answer:
The translation is 2x-7
Step-by-step explanation:
Here, we want to write the given statement in an algebraic form
Let the number be x
2 times the number is 2 * x = 2x
Difference between this and 7 will be 2x-7
Answer:
400.00
Step-by-step explanation:
20*20 is close to 2*2. Since we have zeros, we can multiply 2 and 2 to get 4. Then we add two zeros because of the zero in 20 and the zero in the other 20. This could also be written as because we're multiplying 20 by itself.
<h3>
Answer: B) 6</h3>
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Explanation:
Add the equations by adding the terms straight down.
The x terms add to x+x = 2x.
The y terms add to y+(-y) = y-y = 0y = 0, so the y terms go away
The constants add to 5+7 = 12
The z terms add to -z+z = 0z = 0 and those go away as well
After all that adding, we have 2x = 12 which solves to x = 6 after dividing both sides by 2.
Answer:
D
Step-by-step explanation:
Let's see if the lengths of these two segments are the same or not. We will use the distance formula, which says that for two points and , the distance between them is: .
For AB, is (-9, 12) and is (3, -6). So, the distance is:
For A'B', is (-3, 4) and is (1, -2). So, the distance is:
We can see that is 3 times of , which means that AB (the original) is 3 times the length of A'B' (the transformed).
Since the length has changed, we know that it must be some sort of dilation because that's the only kind of transformation that will change the length. We see that the segment has also shortened, which means that its scale factor must be less than 1.
The only answer that matches is D.
Hope this helps!