Answer:
$700
Step-by-step explanation:
So, I like to extract the information we know and form it into an equation.
So we know that after multiplying what you have in the bank by 4, then add 200 dollars you get two thousand dollars less than a fourth of what's in your dad's bank account.
Your dad has $20,000 in the bank.
Before we write the equation let's find what two thousand less than a fourth of 20,000 is.
20,000/4 = 5,000
Now, 5,000 - 2,000 = 3,000
Ok let's say x is how much money you have
So:
4x + 200 = 3,000
we can isolate the variable by subtracting 200 from both sides
4x = 2,800
then we can divide by 4 on each side
x = 700
so you have $700 in the bank
For the answer to the question above asking to e<span>xplain why the events "getting a black marble" and "getting a red marble" are mutually exclusive.
</span>A marble can have only one color, so you cannot choose a marble that is both black and red. Therefore the events are mutually exclusive (cannot happen simultaneously)
<em>Answer:</em>
<em>The answer for this question will be 324 square roots</em>
<em>Step-by-step explanation:</em>
<em>The length and width of a rectangle are interchangeable, however we usually use the longer side for the length.
</em>
<em>If that's the case, </em><em>then the square is 18 x 18 = 324 square units.
</em>
<em>On the other hand, the square could also be 10 x 10 square units. You choose ! In reality, the length and width, like I said, are interchangeable.</em>
Answer:
(n-2) • (4n+3)
Step-by-step explanation:
4n2-5n-6
Final result :
(n - 2) • (4n + 3)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(22n2 - 5n) - 6
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 4n2-5n-6
The first term is, 4n2 its coefficient is 4 .
The middle term is, -5n its coefficient is -5 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3
4n2 - 8n + 3n - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
4n • (n-2)
Add up the last 2 terms, pulling out common factors :
3 • (n-2)
Step-5 : Add up the four terms of step 4 :
(4n+3) • (n-2)
Which is the desired factorization
Final result :
(n - 2) • (4n + 3)
