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KIM [24]
3 years ago
13

Please answer number 16. please explain the steps

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
8 0

Answer:

X = -2 and 4

Step-by-step explanation:

Move all of the terms to one side and set the equation to 0:

2x^2-14x+40-3x^2+16x-32 = 0

Then combine all like terms which would look like the following:

-x^2 + 2x + 8=0

Change the signs on both sides of the equation:

x^2 - 2x - 8 =0

Write -2x as a difference:

x^2 + 2x - 4x -8 = 0

Factor the expression:

x(x+2) x 4(x+2)=0

Factor out x+2 from the equation:

(x+2) (x-4)=0

Split into classes and then find the answer from there:

x+2=0

x-4=0

Nimfa-mama [501]3 years ago
3 0
Work and explanation is attached
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1(Identifying):

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2(Equation):

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Step 3(Final Equations):

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Mo has some sweets. He shares them out between x of his friends in 2 different wys. 7 sweets each with 2 leftover or 6 sweets ea
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Answer:

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Step-by-step explanation:

An important thing to note is that whichever way Mo shares the sweets, the total number of sweets he has does not change. It means that if he chooses the first method to share the sweets, or the second method, he still has the same number of sweets. This will be helpful in setting up an equation that will help us solve the problem.

If he chooses the first way to share the sweets:

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<em>This is because each of his friends gets 7 sweets each, with 2 leftovers. If we add them up, it will give the total number of sweets available to be shared.</em>

<em />

If he chooses the second way to share the sweets:

6x + 7 = total number of sweets available.

<em>This is because each of his friends gets 6 sweets each, with 7 leftovers. If we add them up, it will give the total number of sweets available to be shared.</em>

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because the total number of sweets do not change, we have

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Grouping like terms,

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Therefore, Mo is sharing the sweets between 5 friends

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3 years ago
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