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jok3333 [9.3K]
3 years ago
7

Pls help me on this question quickly for a lot of points!!!!!

Mathematics
2 answers:
lions [1.4K]3 years ago
4 0

Answer:

{ \rm{• \:4(x - 10) + 8(x - 15)}} \\   \\   {• \: \rm{(4x - 40) + (8x - 120)}}

• (4x + 8x) - (40 + 120)

• 12x - 160

Step-by-step explanation:

• For the first 4 weeks:

{ \tt{4(x - 10)}}

• For the next 8 weeks:

{ \tt{8(x - 15)}}

• Combine equations:

{ \tt{4(x - 10) + 8(x - 15)}}

• From distribution law:

{ \tt{(4x - 40) + (8x - 120)}}

• Simplify:

{ \tt{(4x + 8x) - (40 + 120) = 12x - 160}}

nika2105 [10]3 years ago
3 0

<u>all expression represent how much Judith spent.</u>

Answer:

<u>Question:</u>

Judith's grandmother paid her x dollars a week to mow the lawn during the summer. Judith decided to save some of her money and spend the rest. For the first 4 weeks, Judith  put $10 per week into savings. For the next 8 weeks, she put $15 per week into savings.

<u>Solution given:</u>

Judith's grandmother paid her x dollars a week

<u>it means Judith's income per week is x.</u>

Judith decided to save some of her money and spend the rest.

For the first 4 weeks, Judith  put $10 per week into savings.

<u>it mathematical expression it is expressed as:</u>

<u>4(x-$10)</u>

again

For the next 8 weeks, she put $15 per week into savings.

<u>it mathematical expression it is expressed as:</u>

<u>8(x-$15)</u>

<u>now,</u>

<u>Judith's </u> have

<u>4(x-$10)+8(x-$15) </u>it represent 1st expression.

solving above equation

<u>(4x-$40)+(8x-$120) </u>represents 4t h expression.

<u>(4x+8x)-($40+$120)</u> represents 2nd expression.

12x-$160  represents 3rd expression.

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Rosalie is organizing a circus performance to raise money for a charity. She is trying to decide how much to charge for tickets.
Ray Of Light [21]

Answer:

she should charge $7.395 per ticket in order to make the most money.

Step-by-step explanation:

From the given information:

If Rosalie charges $5   then 1175 people will attend the circus performance

If Rosalie charges $7   then 935 people will attend the circus performance

Let x be the cost and y to be the number of people that will attend the performance . Then, we will have two points which are;

(5, 1175) and (7, 935)

The slope(m) of this points = \dfrac{\Delta y}{\Delta x}

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However; we can now have the linear equation:

y-y_1 = m(x-x_1)

y-1175= -120(x-5)

y-1175= -120x+600

y= -120x+600+1175

y= -120x+1775

The linear function is : y = -120x + 1775

Now; the total amount of money she can now earn is:

f(x) = xy

f(x) = x(-120x + 1775)

f(x) = -120x² + 1775x

The above expression is a quadratic equation; Using the quadratic formula; we have:

=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}

where; a = -120 ; b = +1775 and c = 0

=\dfrac{-(1775) \pm \sqrt{(1775)^2-4(-120)(0)}}{2(-120)}

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=\dfrac{-(1775) +  (1775)}{(-240)}  \ \ \ \ \ OR  \ \ \ \  \dfrac{-(1775) - (1775)}{(-240)}

=\dfrac{0}{(-240)}  \ \ \ \ \ OR  \ \ \ \  \dfrac{-3550}{(-240)}

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Since; we are considering the value greater than zero

x = 14.79

maximum value of x = 14.79/2 = 7.395

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