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umka21 [38]
3 years ago
13

Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 a

nd begins spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of money? How much do they have at that time?
Mathematics
1 answer:
Nata [24]3 years ago
6 0

Answer:

Let x represents the week and y represents the amount of money.

As per the given statement:

Diego has $11 and begins $5 each week toward buying a new phone.

⇒               ......[1]

It is also given that Lin $60 and begins spending $2 per week.

⇒               ....[2]

when they have the same amount.

equate [1] and [2] we get;

Add both sides 2x we get;

Subtract 11 from both sides we get;

Divide both sides by 7 we get;

x = 7

Substitute the value of x = 7 in [1] we have;

Therefore, at x= 7 week they have the same amount of money and they  have the amount at that time, $ 46

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Here, we want to get the value of x

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1. Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations
sasho [114]

Answer:

The equation is y=2x^2+4x-7

Step-by-step explanation:

Let the quadratic function be


y=ax^2+bx+c


The point (-4,9) must satisfy this function,

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The point (0,-7) must also satisfy this function,

\Rightarrow a(0)^2+b(0)+c=-7


\Rightarrow c=-7...(2)



The point (1,-1) must also satisfy this function,

\Rightarrow a(1)^2+b(1)+c=-1


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We put equation 2 into equation 1 to get;


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