Step-by-step explanation:
his mistake was that he didnt follow the rules of the order of operations and he multiplied 4 by 4 and just added the third power and the 6th power getting the wrong answer
hope this helps:) good luck
Answer: A single turquoise guppy costs $3.69
Step-by-step explanation:
Let us use "x" to represent the amount a single turquoise is sold and use "y" to represent that of the Glo fish.
Since Kellen bought 4 guppies and 3 glo fishes for $41.73:
4x + 3y = 41.73 --------eqn 1
Similarly, Danielle purchased 3 guppies and 5 Glo fish for $56.02:
Therefore 3x + 5y = $56.02 -----eqn2
The 2 equations are;
4x + 3y = 41.73 (eqn 1)
3x + 5y = 56.02 (eqn 2)
We then solve the simultaneous equations using substitution method:
From eqn 1,
4x + 3y = 41.73
4x = 41.73 - 3y
x = (41.73 - 3y)/4
Substitute x for (41.73 - 3y)/4 in eqn2.
3[(41.73 - 3y)/4 + 5y = 56.02
11y + 125.19 = 224.08
11y =98.89
y = 98.89/11
y = $8.99
So, 1 Glo fish costs $8.99
Then, substitute "y" for 8.99 in equation 1
4x + (3×8.99) = 41.73
4x + 26.97 = 41.73
4x = 41.73 - 26.97
4x = 14.76
x = 14.76/4
x = $3.69
Therefore 1 turquoise guppy costs $3.69
Answer:
All real numbers
Step-by-step explanation:
The domain is just what values of x you can plug in as an input. In this case, you can plug in any number, as the graph is just a line that has no restrictions. An example of a case where the domain isnt just any number would be g(x) = 5/x, because in that case, x couldn't be 0 because you cant divide by zero.
<h3>
Answer: They're all the same</h3>
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Reason:
means we have 6 copies of "2" multiplied out as shown in choice B. That explains how A and B are the same, and we can say
The parenthesis are optional, but I find they're handy to count the '2's easier.
----------------
Now notice that
So,
The last step is possible because we have two copies of 
multiplied together.
This shows that choice C is equivalent to A and B.
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Lastly,
The jump to the last step is possible because we have three copies of 
multiplied together.
This shows choice D is equivalent to the others.
All four expressions are the same.
They represent different ways to say the same number. That number being 64.
Answer:
Step-by-step explanation:
Distribute: 6(4-z) expands to 24-6z
24-6z=2z: Add 6z to both sides to get 24=8z
Divide both sides by 8: z=3
