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Dvinal [7]
3 years ago
12

PLEASE HELP!!!!!!!!BRAINLIEST PLUS 50 POINTS

Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Use the quadratic formula to find:

x

=

1

±

√

85

5

Explanation:

5

x

2

−

10

x

−

12

is of the form  

a

x

2

+

b

x

+

c

with  

a

=

5

,  

b

=

−

10

and  

c

=

−

12

This has discriminant  

Δ

given by the formula:

Δ

=

b

2

−

4

a

c

=

(

−

10

)

2

−

(

4

×

5

×

−

12

)

=

100

+

240

=

340

=

2

2

⋅

85

This is positive, but not a perfect square, so the quadratic equation has a pair of irrational roots, given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

=

−

b

±

√

Δ

2

a

=

10

±

√

340

10

=

10

±

2

√

85

10

=

1

±

√

85

5

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Question: Jake has a summer job as a photographer at an amusement park. He wants to save $3500 . He must choose whether to sell large photos or small photos. For each photo, he will earn the amounts shown in the table. How many of each kind of photo will he need to sell to reach his goal of $3500 ?

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To figure out how many Small Photos Jake needs to sell, you can divide the amount he wants to save by the cost of the small photos:

On my calculator, 3500÷12 equals roughly 291.6666667. Realistically that number doesn't make sense in this context, so it's safe to round that to the nearest whole number, which would be 292. Selling 292 small photos will earn Jake $3504. It's okay that he's earned more than he wanted to save because it's safer to earn more instead of not earning the amount he needs. If we decided to stick with 291 small photos, Jake would have only earned $3492, which isn't enough.

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