Answer:
13 and 23
Step-by-step explanation:
create an equation to solve:
(2x-3) + x = 36
3x - 3 = 36 combine like terms
<u> +3 +3</u><u> </u> add 3 to both sides
<u>3</u>x = <u>39</u>
3 3 divide both sides by 3
x = 13
<u>13 is the first number</u>
the 2nd number is 3 let than twice the first so we create and solve a new equation:
2x - 3 = ?
2(13) = ? substitute 13 from the
smaller number to solve
<u>23 = the 2nd number</u>
Answer:
86.25
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Answer:
<em>$</em><em>1</em><em>0</em><em>9</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>difference</em><em> </em><em>between</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>bills</em>
Step-by-step explanation:
<em>Difference</em><em> </em><em>=</em><em>$</em><em>(</em><em>3</em><em>0</em><em>3</em><em>-</em><em>1</em><em>9</em><em>4</em><em>)</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>$</em><em>1</em><em>0</em><em>9</em>
<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em>
Hey there!
Answer = -21
Explanation:
Let's solve your equation step-by-step.
x + 7 = -14
Subtract seven from both sides:
x + 7 - 7 = -14 - 7
x = -21
So therefore, that is how you found your answer: x = -21
Lagrange multipliers:







(if

)

(if

)

(if

)
In the first octant, we assume

, so we can ignore the caveats above. Now,

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of

.
We also need to check the boundary of the region, i.e. the intersection of

with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force

, so the point we found is the only extremum.