Let f(x)=0, you'll get x=3 and x=-5, those are the x-intercepts of the function.
At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount.
Let x be the amount of one of Derek's withdrawals
Each of John's withdrawals was $5 more than each withdrawal that Derek made.
x + 5 is t the amount of one of John's withdrawals
Derek made 7 withdrawals
So amount withdraw 7 times = 7x
John made 5 withdrawals
So amount withdraw 5 times = 5(x+5)
Both Derek and John withdrew the same amount of money in the end
(A) 7x = 5(x+5)
(B) Solve for x
7x = 5x + 25
Subtract 5x from both sides
2x = 25
Divide by 2
x = 12.5
(C) check your solution
we plug in 12.5 for x in 7x= 5x + 25
7(12.5) = 5(12.5) + 25
87.5 = 62.5+ 25
87.5 = 87.5
(D) Each brother withdrawal 87.5 dollars
We know that the perimeter of a rectangle is twice the length, plus twice the width.
P = 2L + 2W
We also know that the perimeter is 156.
P = 156
Finally, we know that the width is 12 less than the length.
W = L - 12.
The next thing that we do is substitute the information that we have into the original equation:
P = 2L + 2W
156 = 2L + 2(L - 12)
From this point we start to solve
156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis
156 + 24 = 2L + 2L - 24 + 24
180 = 2L + 2L <--- getting like terms on same sides
180 = 4L <---combining like terms
180/4 = 4L/4 <--- getting like terms on same sides
45 = L <---now we have a value for L
Now we take the known value for L and substitute it in to our equation for W
W = L - 12
W = 45 - 12
W = 33
So now we have Length = 45 and Width = 33.
<h2>x > 9</h2>
Step-by-step explanation:
<h3><em>-</em><em>5</em><em> </em><em>(</em><em>x</em><em>-</em><em>1</em><em>)</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>0</em></h3><h3><em>-</em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>5</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>0</em></h3><h3><em>-</em><em>5</em><em>x</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>0</em><em> </em><em>-</em><em>5</em></h3><h3><em>-</em><em>5</em><em>x</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>5</em></h3><h3><em>x</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>5</em><em> </em><em>÷</em><em> </em><em>-</em><em>5</em></h3><h3><em>x</em><em> </em><em>></em><em> </em><em>9</em></h3>
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