MATHEMATICS MIDDLE SCHOOL

A study found that a​ student's GPA,​ g, is related to the number of hours worked each​ week, h, by the equation g=-0.0007h^2+0.015h+3.03. Estimate the number of hours worked each week for a student with a GPA of 2.15.

Answers

Answer 1
Answer:

Answer:

A student with GPA of 2.15 worked 47.8 hours per week.

Step-by-step explanation:

To find the numbers of hours worked when the GPA is 2.15, we solve the equation when g=2.15 or:

2.15= -0.0007h^2+0.015h+3.03

which can be rewritten as (by subtracting 2.15 from both sides)

-0.0007h^2+0.015h+0.88=0.

We solve this using the quadratic equation which says, for ax^2+bx+c=0,

x=(-b\pm√(b^2-4ac) )/(2a)

in our case

a=-0.0007

b=0.015,

therefore, we have

x=(-0.015\pm√(0.015^2-4(-0.0007)(0.88)) )/(2((-0.0007) )

x=(-0.015\pm0.051856 )/(-0.0014 )

\boxed{x=47.8}\n\n \boxed{x =-26.3}

and since only the positive solution applies to the real word, we choose x=47.8, and therefore, a student with GPA of 2.15 worked 47.8 hours per week.

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Answers

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⚠️ PLEASE HELP ASAP ⚠️Which expression is represented by the number line?
A 3-5.5 - 1.5
B 3-5.5 + 1.5
C 3-2.5-1
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Answers

Ok so I’m not completely sure but I think its B. Let me explain.

The thing starts at 0 and goes up to 3 it then goes down to -2.5 which is 3-5.5 it then goes up to -1 which makes the whole thing 3-5.5+1.5

Hope this helps some.

Answer:

The Answer is B

Step-by-step explanation:

You start at 0 you go up 3, then you go back down 5.5 which gives you 2.5, then you add 1.5 which gives you -1

Hope this helps I just took the quiz and got 100%

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Answers

Answer:

variable g represents the number of gallons

Step-by-step explanation:

Slope-intercept form:

The equation of the line is:

y=mx+b

where, m is the slope and b is the initial value or y-intercept.

Let g represents the number of gallons  and c(g) represents the total cost for a number of gallons g.

As per the statement:

Issac fills up his 20 -gallon gas tank with fuel that costs $3.54 per gallon.

⇒C(0)=b= 20 gallons

It is given that:

costs per gallon = $3.54

in g gallons = $ 3.54 g

⇒c(g) = 20+3.54g  where, g represents the number of gallons

The expression 3.54 g represents the cost for a number of gallons of fuel.

⇒The variable g represents the number of gallons
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Answers

Answer:

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Step-by-step explanation:

We can find a point on the line by choosing any value for x and putting it in to the equation. Then we can find the y value. For the purpose of this problem, we will use x = -3.

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Step-by-step explanation:

You

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Answers

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Answers

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Step-by-step explanation:
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