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Aleks [24]
3 years ago
14

If f(x)=x2-2x-8 and g(x)=1/4x-1 for which value of x is f(x)=g(x)

Mathematics
1 answer:
fomenos3 years ago
6 0

f(x)=x^2-2x-8;\ g(x)=\dfrac{1}{4}x-1\\\\f(x)=g(x)\iff x^2-2x-8=\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4x^2-8x-32=x-4\qquad\text{subtract x from both sides}\\\\4x^2-9x-32=-4\qquad\text{add 4 to both sides}\\\\4x^2-9x-28=0\\\\4x^2-16x+7x-28=0\\\\4x(x-4)+7(x-4)=0\\\\(x-4)(4x+7)=0\iff x-4=0\ \vee\ 4x+7=0\\\\x=4\ \vee\ 4x=-7\\\\\boxed{x=4\ \vee\ x=-\dfrac{7}{4}}

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Select True or False to correctly classify each inequality.
Ksivusya [100]
<h2><u><em>Answer:</em></u></h2>

<u><em>1. FALSE</em></u>

<u><em>2. TRUE</em></u>

<u><em>3. FALSE</em></u>

<u><em>4. TRUE</em></u>

<h2>Step-by-step explanation:</h2>

<em>6≤-6 = False</em>

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3 0
3 years ago
Mr. Sen wants to treat a group of friends either to the movies or to a hockey game for his birthday. Both the theater and the ho
monitta

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8 0
2 years ago
Item 9 Find the annual interest rate. I=$562.50, P=$1500, t=5 yearsI=$562.50, P=$1500, t=5 years The annual interest rate is %.
Anton [14]
Hi there :-)
The formula of the simple interest is
I=prt
your question ask to find r which is interest rate you do that by dividing each side by (pt) to get
R=I÷pt
Now solve to get the interest rate
R=562.5÷(1,500×5)
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Hope it helps:-)

4 0
3 years ago
Product of prime factors in ascending order
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3 0
3 years ago
Help ASAP please!!!
tatyana61 [14]
U should add all the #s together so... it = 11.3
then divide by the # of terms. so...... 11.3/ 14= 0.9357 (rounded makes 0.94) 


So .... B
3 0
3 years ago
Read 2 more answers
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