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Molodets [167]
3 years ago
5

2x + 3y = 17 5x + 6y = 32 Usibg method if elimination

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0

Answer:

Solution (-2, 7)

Step-by-step explanation:

2x + 3y = 17      (1)

5x + 6y = 32    (2)

Using elimination method

Multiply (-2) to the equation (1)

-4x - 6y = -34  

Now you have 2 new equations

-4x - 6y = -34

5x + 6y = 32

----------------------------Add

x = -2

Substitute x = -2 into 2x + 3y = 17

2(-2) + 3y = 17

- 4 + 3y = 17

3y = 21

 y = 7

Solution (-2, 7)

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What is the difference between profit and revenue?
statuscvo [17]

Answer:

Revenue is the total amount producers receive after selling a good. Profit is the total amount producers earn after subtracting the production costs.

Step-by-step explanation:

Profit, or net gain, is the amount of money made after subtracting production costs.

Revenue is the total amount of money earned, or gross weight, before anything is subtracted for production costs.

3 0
3 years ago
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a science class have five girls and three boys in 7th grade at two girls and two boys in the 8th grade the teacher randomly sele
Elena-2011 [213]

Answer:

Possibility that the students  selected are both girls = 31.25%


Step-by-step explanation:

It is given that


A science class have 5 girls and 3 boys in 7th grade  

And 2 girls and 2 boys in the 8th grade

In 7th grade total students = 8

In 8th grade total students = 4

Total possibilities = 8 x 4 = 32

The teacher randomly selects a 7th grade and an 8th grade


The number ways a girl selected from 7th grade = 5c1 = 5


The number ways a girl selected from 8th grade = 2c1 = 2


Total possibilities = 5 x 2 = 10

Probability that the students  selected are both girls =10 /32 = 31.25%

6 0
4 years ago
List numbers that have 24 as a multiple
Vilka [71]
2,12, 1 ,24,3,8,4,3,6,
THese number has 24 as a multiple so they are actually factors
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4 0
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Which equation models a parabola with a vertex
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Answer:

4,6

Step-by-step explanation:

7 0
3 years ago
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A parabola has its vertex at (2, 2), and the equation of its directrix is y = 2.5. The equation that represents the parabola is
Xelga [282]

Answer:

In vertex form the equation is y=-\frac{1}{2}(x-2)^2+2

In standard form the equation is y=-\frac{1}{2}x^2+2x

Step-by-step explanation:

The equation of the directrix tells us that this is an x-squared parabola.  Because the directrix is above the vertex, the parabola will open downward.  The vertex form of this equation is:

4p(y-k)=-(x-h)^2

where p is the number of units between the directrix and the vertex.  The number of units here is .5 or 1/2.  Filling in the coordinates of the vertex and the p value of 1/2:

4(.5)(y-2)=-(x-2)^2

Simplifying we have:

2(y-2)=-(x-2)^2

Divide both sides by 2 to get:

y-2=-\frac{1}{2}(x-2)^2

Add 2 to both sides to get the final vertex form:

y=-\frac{1}{2}(x-2)^2+2

If you want that in standard form, you first need to expand the squared term to get:

y=-\frac{1}{2}(x^2-4x+4)+2

Order of operations tells us that we have to distribute in the -1/2 first to get:

y=-\frac{1}{2}x^2+2x+2-2

which simplifies to the standard form:

y=-\frac{1}{2}x^2+2x

5 0
3 years ago
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