Answer:
(- 3, - 6 ) , (1, 2 )
Step-by-step explanation:
2y = 4x ( divide both sides by 2 )
y = 2x → (1)
x² + y = 3 → (2)
Substitute y = 2x into (2)
x² + 2x = 3 ( subtract 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Substitute theses values into (2) for corresponding values of y
x = - 3 : y = 2(- 3) = - 6 ⇒ (- 3, - 6 )
x = 1 : y = 2(1) = 2 ⇒ (1, 2 )
the answer is 3/6 which can further be simplified to 1/2
this is because there are 3 odd numbers and 3 even numbers on a die
The values of the coefficients a, b and c in the equation is -2, 1 and -1 respectively.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
Given the polynomial:
-2x³ - 7x² + 3x - 4
Simplifying:
= -(2x² - x + 1)(x + 4)
Hence:
-2x³ - 7x² + 3x - 4 = (-2x² + x - 1)(x + 4)
(x + 4)(ax² + bx + c) = −2x³ − 7x² + 3x − 4
The values of the coefficients a, b and c in the equation is -2, 1 and -1 respectively.
Find out more on equation at: brainly.com/question/2972832
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Answer:
AB=18 units.
Step-by-step explanation:
So, one of the angle measures is 6x. Since the shape is an equilateral triangle, this means that all the angles measure 6x. In other words, the total measure of the three angles is 6x+6x+6x=3(6x) or 18x. Recall that a triangle has a total interior angle sum of 180. Therefore, set 18x to 180 and solve for x:
![18x=180\\](https://tex.z-dn.net/?f=18x%3D180%5C%5C)
Divide both sides by 18:
![x=10](https://tex.z-dn.net/?f=x%3D10)
Therefore, x is equal to 10.
Now, since this is an equilaterial triangle, all three side lengths are the same. Thus, AB=BC=AC. We know that BC is equal to x+8. Find BC:
![BC=x+8\\BC=(10)+8\\BC=18](https://tex.z-dn.net/?f=BC%3Dx%2B8%5C%5CBC%3D%2810%29%2B8%5C%5CBC%3D18)
And since all the side lengths are equivalent, this means that side AB is also 18 units.
In each table, the x-values differ by 6. A linear function will also have a constant difference of y-values. Only the 4th table has that.
(x, y) = (-6, -3), (0, 2), (6, 7), (12, 12)
_____
An increase in x by 6 produces an increase in y by 5. The slope of this linear function is 5/6. In slope-intercept form, the equation is y = (5/6)x + 2.