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lesya [120]
3 years ago
14

The number of girls, g, in a room is four more than two times the number of boys, b. Half of the number of girls in the room min

us the number of boys is 2. The equations below represent the situation.
g=4+2b
1/2 g-b=2
Mathematics
2 answers:
stira [4]3 years ago
6 0
There are 8 girls.
and 2 boys.
Blizzard [7]3 years ago
4 0

The given equations to the above question are :

g=4+2b and

\frac{1}{2} g-b=2

We need to solve for g and b.

We write the equations in the form ax+by=c.

The first equation is g=4+2b

Subtracting 2b both sides :

g-2b=4.

This is of the form ax+by=c.

The second equation is :

\frac{1}{2} g-b=2

Multiplying both sides by 2 to get rid of the denominator 2 the equation reduces to

g-2b=4.This is of the form ax+by=c.

Both the equations are same .This implies the system of equations has infinite number of solutions.

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What are symbols of inclusion
Kipish [7]

Answer:

Symbols of inclusion are symbols used in mathematical expressions that group terms or factors together. They indicate that when we are simplifying expressions, we are to perform what's inside the symbols first. The three types of symbols of inclusion are parentheses, brackets, and braces.

5 0
2 years ago
When the two equations are graphed on a coordinate plane, they intersect at two points.
Law Incorporation [45]

Answer:

(0,4) and (-2,0)

Step-by-step explanation:

y=3x²+4x+4

y = -2x +4

3x²+4x+4 = - 2x +4

3x²+6x=0

3x(x+2)=0

x=0, x= -2

x=0, y=-2x+4= -2*0 + 4 =4,   (0,4)

x= - 2, y = 2x + 4= 2*(-2) +4=0,    (-2,0)

3 0
3 years ago
Rotate the triangle 180° about the cross.
V125BC [204]

A triangle is a three-edged polygon with three vertices. If the triangle is rotated 180° about the cross then it will be done as shown below.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to b

If the triangle is rotated 180° about the cross then it will be done as shown below. This is because the triangle is 2 units away from the cross(dot) therefore, after rotation it will be at the same distance from the point.

Learn more about Triangle:

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6 0
1 year ago
For all pairs of real numbers N and P, where N =5P+ 4, p=? Please help!!!!
drek231 [11]
N = 5P + 4
N - 4 = 5P
(N - 4) / 5 = P or (N/5) - 4/5 = P
4 0
3 years ago
Find the product.<br> (5x² – 4x+6)(–2x+3) =<br> 0
Nady [450]

Answer:

x = 3/2

Step-by-step explanation:

Solve for x over the real numbers:

(5 x^2 - 4 x + 6) (3 - 2 x) = 0

Split into two equations:

3 - 2 x = 0 or 5 x^2 - 4 x + 6 = 0

Multiply both sides by -1:

2 x - 3 = 0 or 5 x^2 - 4 x + 6 = 0

Add 3 to both sides:

2 x = 3 or 5 x^2 - 4 x + 6 = 0

Divide both sides by 2:

x = 3/2 or 5 x^2 - 4 x + 6 = 0

Divide both sides by 5:

x = 3/2 or x^2 - (4 x)/5 + 6/5 = 0

Subtract 6/5 from both sides:

x = 3/2 or x^2 - (4 x)/5 = -6/5

Add 4/25 to both sides:

x = 3/2 or x^2 - (4 x)/5 + 4/25 = -26/25

Write the left hand side as a square:

x = 3/2 or (x - 2/5)^2 = -26/25

(x - 2/5)^2 = -26/25 has no solution since for all x on the real line, (x - 2/5)^2 >=0 and -26/25<0:

Answer:  x = 3/2

7 0
3 years ago
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