Consider the system y= 4x-3 y= x+3

Mathematics

1 answer:

WARRIOR [948]2 years ago

4 0

Answer: x= 2 y=5 or (x, y) = (2, 5)

Step-by-step explanation:

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if the vertex of a parabola is (-4,6) and another point on the curve is (-3,14), what is the coefficient of the squared expressi

Softa [21]

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, 6 ), thus

y = a(x + 4)² + 6

To find a substitute (- 3, 14) into the equation

14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )

8 = a

Thus the coefficient of the x² term is a = 8

3 0

2 years ago

What is the solution to this equation?<br>1-2x = 4(x + 3)

valina [46]

Answer:

x=-1.83

Step-by-step explanation:

1-2x=4(x+3)

1-2x=4x+12

-2x=4x+12-1

-2x=4x+11

-2x-4x=11

-6x=11

x=11÷-6

x=-1.83

4 0

2 years ago

Solve equation for 5x-14=8x+4

creativ13 [48]

My answer-

Simplifying 5x + -14 = 8x + 4

Reorder the terms: -14 + 5x = 8x + 4 Reorder the terms: -14 + 5x = 4 + 8x

Solving -14 + 5x = 4 + 8x Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 5x + -8x = 4 + 8x + -8x

Combine like terms: 5x + -8x = -3x -14 + -3x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0 -14 + -3x = 4 + 0 -14 + -3x = 4 Add '14' to

each side of the equation. -14 + 14 + -3x = 4 + 14

Combine like terms: -14 + 14 = 0 0 + -3x = 4 + 14 -3x = 4 + 14

Combine like terms: 4 + 14 = 18 -3x = 18 <span>

Divide each side by '-3'. x = -6

Simplifying x = -6

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