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ICE Princess25 [194]
2 years ago
5

Which ordered pair is a solution of the equation -3+5y=2x+3y ?

Mathematics
1 answer:
Oksana_A [137]2 years ago
8 0

Answer: x = y + −3/2

Step-by-step explanation:

Let's solve for x.

−3+5y=2x+3y

Step 1: Flip the equation.

2x+3y=5y−3

Step 2: Add -3y to both sides.

2x+3y+−3y=5y−3+−3y

2x=2y−3

Step 3: Divide both sides by 2.

2x/2 = 2y - 3/2

ANSWER: x = y + -3/2

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What is the equation of the line in the following graph? 1)y=x+2
Levart [38]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (2, 0) and (-2, -4). Substitute:

m=\dfrac{-4-0}{-2-2}=\dfrac{-4}{-4}=1

Therefore we have the equation of a line

y=1x+b\to y=x+b

Put the coordinates of the point (2, 0) to the equation:

0=2+b     <em>subtract 2 from both sides</em>

-2=b\to b=-2

Answer: \boxed{y=x-2}\to\boxed{3)}

8 0
3 years ago
Joey fills 1/5 of a toffee box in 1/25 of a
butalik [34]
1/25 of a minute is 2,4 secs.

1/5 = 2,4s
5/5 = 12 secs

5 0
3 years ago
Read 2 more answers
Twenty one children and three teachers went to the movies. The total bill was $105. The price for
MrRissso [65]

Answer:

c = price of child ticket = $4.25

a = price of adult ticket = $4.25 + $1.00 = $5.25

Step-by-step explanation:

A child ticket costs c and an adult ticket costs a = c + 1.

21 children pay c dollars each for admission, and

3 teachers pay c + 1 dollars each for admission.

Thus,

21c + 3(c + 1) = $105, and

21c + 3c + 3 = $105, so that:

24c = $102

c = price of child ticket = $4.25

a = price of adult ticket = $4.25 + $1.00 = $5.25

3 0
3 years ago
Consider the quadratic function f(x) = –2x2 + 4x – 2. Find the y-intercept and the equation of the axis of symmetry.
RoseWind [281]

Answer:

The y-intercept is -2

The equation of the axis of symmetry is x = 1 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the general form of the quadratic function

- The general form of the quadratic function is f(x) = ax² + bx + c,

 where a, b , c are constant

# a is the coefficient of x²

# b is the coefficient of x

# c is the y-intercept

- The meaning of y-intercept is the graph of the function intersects

 the y-axis at point (0 , c)

- The axis of symmetry of the function is a vertical line

  (parallel to the y-axis) and passing through the vertex of the curve

- We can find the vertex (h , k) of the curve from a and b, where

 h is the x-coordinate of the vertex and k is the y-coordinate of it

# h = -b/a and k = f(h)

- The equation of any vertical line is x = constant

- The axis of symmetry of the quadratic function passing through

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* Now lets solve the problem

∵ f(x) = -2x² + 4x - 2

∴ a = -2 , b = 4 , c = -2

∵ The y-intercept is c

∴ The y-intercept is -2

∵ h = -b/2a

∴ h = -4/2(-2) = -4/-4 = 1

∴ The equation of the axis of symmetry is x = 1

4 0
3 years ago
There are 12 students who wish to enroll in a particular course. there are only five seats left in the classroom. how many diffe
siniylev [52]
792 is the answer

(12*11*10*9*8)/5!=792
5 0
3 years ago
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