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9966 [12]
3 years ago
13

3. two lines, a and b, are represented by the following equations:

Mathematics
1 answer:
Sveta_85 [38]3 years ago
3 0
2x + y = 6 . . . . . (1)
x + y = 4 . . . . . (2)

(1) - (2) => x = 2

From (2): 2 + y = 4 => y = 4 - 2 = 2

Therefore, the solution is (2, 2)
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The profit P (in dollars) from selling x calculators is P=25x(-10x+ 250). How many calculators are sold when the profit is $425?
Crank
Okay, so this is what I came to. I think that you might need to look through the placement of the problem again and your x's, but other than that, here it is!

Step 1: Simplify both sides of the equation.<span>425=<span><span>−<span>250<span>x2</span></span></span>+<span>6250x

</span></span></span>Step 2: Subtract -250x^2+6250x from both sides.<span><span>425−<span>(<span><span>−<span>250<span>x2</span></span></span>+<span>6250x</span></span>)</span></span>=<span><span><span>−<span>250<span>x2</span></span></span>+<span>6250x</span></span>−<span>(<span><span>−<span>250<span>x2</span></span></span>+<span>6250x</span></span>)</span></span></span><span><span><span><span>250<span>x2</span></span>−<span>6250x</span></span>+425</span>=0
</span>
Step 3: Use quadratic formula with a=250, b=-6250, c=425.<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(<span>−6250</span>)</span></span>±<span>√<span><span><span>(<span>−6250</span>)</span>2</span>−<span><span>4<span>(250)</span></span><span>(425)</span></span></span></span></span><span>2<span>(250)</span></span></span></span><span>x=<span><span>6250±<span>√38637500</span></span>500</span></span><span><span>x=<span><span>252</span>+<span><span><span><span>110</span><span>√15455</span></span><span> or </span></span>x</span></span></span>=<span><span>252</span>+<span><span><span>−1</span>10</span><span>√15455
</span></span></span></span><u>
Answer:</u><span><span>x=<span><span>252</span>+<span><span><span><span>110</span><span>√15455</span></span><span> or </span></span>x</span></span></span>=<span><span>252</span>+<span><span><span>−1</span>10</span><span>√<span>15455</span></span></span></span></span>
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3 years ago
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