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3 years ago

Solve the system of equations by using substitution. y = 2x +3 y = -x + 6

Mathematics

1 answer:

padilas [110]3 years ago

4 0

Answer:

x =3, y =3

Step-by-step explanation:

From the second equation( y= -x+6) we can get x alone.

Subtracting 6 from both sides we get, y-6 = -x

And then dividing both sides by -1, -y+6 = x

Then we can substitute this value of x into the first equation.

y = 2(-y+6) +3

Simplifying,

y = -2y + 12+ 3

3y = 15

y = 3

Substituting this back into second equation we get 3 = -x + 6

and -x = -3

Dividing both sides by -1,

we get x =3

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the line of symmetry of a parabola whose equation is y = ax ^ 2 - 4x + 3 is =-2 what is the value of "a"

77julia77 [94]

Y= ax² -4x +3

-b/2a is x - coordinate of the vertex,
line of symmetry x=-2, x=-2 is a coordinate of the vertex also, because the line symmetry has vertex.

x= -b/2a
x= -2, b= -4
-2=-(-4)/2a
-2=4/2a
-2=2/a
a=2/(-2)=-1
a= - 1

5 0

3 years ago

Fill in the Blanks:

Damm [24]

Answer:

Unlike fractions: Fractions with different denominators are called, unlike fractions.

In case of two equivalent fractions, the product of the numerator of one fraction and denominator of the second fraction is equal to the product of the denominator of the first fraction and numerator of the second fraction.

A fraction is said to be in form if its numerator and denominator are 5. To add or subtract like fractions, we add or subtract the keeping the same.

Step-by-step explanation:

4 POINT I DONT NO

6 0

2 years ago

Fiona needs to choose a five-character password with a combination of three letters and the even numbers 0, 2, 4, 6, or 8.

katen-ka-za [31]

The total outcomes of creating a password is 20

<h3>How to determine the total outcomes creating different passwords with the given characters and numbers?</h3>

The given parameters are

Letters = 3

Digits = 5 digits i.e 0, 2, 4, 6, or 8.

From the question, the digits and the letters cannot be repeated.

So, we have:

Possible letters = 3 characters (position fixed)

Digits = 2 numbers

So, the total outcomes of creating different passwords is

Total = 1 * 1 * 1 * 5 * 4

Evaluate the product

Total = 20

Hence, the total outcomes of creating a password is 20