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oksano4ka [1.4K]
2 years ago
6

Jeanne babysits for 6 per hour . She also works as a reading tutor for 10 per hour . She is only allowed to work20 hours per wee

k . This week,her goal is to make at least 75
A. Use system of inequality to model the scenario above . Let x represent babysitting hours and y represent tutoring hours
B. Use the model created in part A to create a graph representing jenne’s Probable income earned and possible number hours to work this week
C. Analyze the set of coordinates values that represent solutions for the model created in par A. Choose one of the coordinates within the solution and algebraically prove that the coordinates represents a true solution for the model
Mathematics
1 answer:
mel-nik [20]2 years ago
7 0
The correct answer would be C
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Which equation represents a parabola that opens upward, has a minimum value of 3, and has an axis of symmetry at x= 3?
Ilya [14]

Answer:

y=(x-3)^2+3

Step-by-step explanation:

<u><em>The correct question is</em></u>

Which equation represents a parabola that opens upward, has a minimum value of y=3, and has an axis of symmetry at x= 3?

<em>Verify each case</em>

case 1) we have

y=(x+3)^2-6

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (-3,-6)

The minimum value of y=-6 ----> is not ok

The axis of symmetry is x=-3 ----> is not ok

case 2) we have

y=(x+3)^2+3

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (-3,3)

The minimum value of y=3 ----> is ok

The axis of symmetry is x=-3 ----> is not ok

case 3) we have

y=(x-3)^2-6

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (3,-6)

The minimum value of y=-6 ----> is not ok

The axis of symmetry is x=3 ----> is ok

case 4) we have

y=(x-3)^2+3

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (3,3)

The minimum value of y=3 ----> is ok

The axis of symmetry is x=3 ----> is ok

6 0
3 years ago
The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of
Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of a^{2} :b^{2}

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50(13689 -234x+x^{2} )=32x^{2}

Distribute the left side

684450-11700x+50x^{2}=32x^{2}

Subtract both sides 32x^{2} and rewrite it 18x^{2} -11700x+684450=0

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

x^{2}-650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

5 0
3 years ago
The area of a rectangle is 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same are b
Likurg_2 [28]
The second one would be a square
4 0
2 years ago
If 111 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the c
VikaD [51]

Answer:

57 children

54 adults

Step-by-step explanation:

Let's call x the number of children admitted and call z the number of adults admitted.

Then we know that:

x + z = 111

We also know that:

3.25x + 4z = 401.25

We want to find the value of x and z. Then we solve the system of equations:

-Multiplay the first equation by -4 and add it to the second equation:

-4x - 4z = -444

3.25x + 4z = 401.25

----------------------------------

-0.75x = -42.75

x =\frac{-42.75}{-0.75}\\\\x=57

Now we substitute the value of x in the first equation and solve for the variable z

57 + z = 111

z = 111-57

z = 54

5 0
2 years ago
Read 2 more answers
Kareem borrowed money from a credit union for 6 years and was charged simple interest at an annual rate of 8%. The total interes
Elina [12.6K]

Answer:

I think 220.8

  Step-by-step explanation:

6 0
3 years ago
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