Answer:
3x - 6 = -10. - 3x = -4!
2x - 6 = 5x-10
Step-by-step explanation:
2x-(3-4y), when x = 5 and y=-3. 215)-(3-4(-3)). 10-(3+12). 10-15. 2. ... by 5 to clear the fractions. 2x - 6 = 5x-10. - 3x - 6 = -10. - 3x = -4.
The standard equation for a parabola that opens upward parallel to the y-axis is x2=4ay, where a = distance from the vertex to focus. Vertex is at origin(0,0)
4a=2
a=2/4
a=1/2 or 0.5
the coordinate of the focus is (0, 1/2)
the equation of the directrix is y=-1/2
Answer:
see explanation
Step-by-step explanation:
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
Express in standard form, that is 6x² - 7x - 3
product = 6 × - 3 = - 18, sum = - 7
The factors are - 9 and + 2
Use these factors to split the middle term
6x² - 9x + 2x - 3 ( factor the first/second and third/fourth terms )
= 3x(2x - 3) + 1(2x - 3) ← factor out (2x - 3)
= (2x - 3)(3x + 1)
To obtain zeros equate to zero
(2x - 3)(3x + 1) = 0
Equate each factor to zero and solve for x
2x - 3 = 0 ⇒ x =
3x + 1 = 0 ⇒ x = -
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The relationship between the zeros and the coefficients is
sum of zeros = - and
product of zeros =
- = - and
- =
× - = - and
= = -
Verifying both relationships
Divide 25 by 24:
25 / 24 = 1.0416
The hundredth place is the second decimal place, because the third decimal place is less than 5, the hundredths place stays the same:
Answer: 1.04