What is the yyy-intercept of y=3-4xy=3−4xy, equals, 3, minus, 4, x?

2 answers:

7 0

We can rewrite the equation given above as,
y = 3 - 4x

This item asks us to determine the value of the y-intercept. The value is calculated by letting x of the equation be equal to zero. Applying this methodology to the given above,

y = 3 - 4(0)
y = 3

Hence, the y-intercept of the given function is 3.

sweet [91]2 years ago

7 0

So we are given the equation :
$y=3-4x$
In order to get the y-intercept, simply use the value x=0 in the equation like this:
$y=3-4\times0=3$
The y intercept is $y=3$

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What is the vertex of the parabola given by the equation y x^2+ 4?

max2010maxim [7]

Format of Quadratic Equation: y = ax2 + bx + c

Given Quadratic Equation: y = 2x2 - 3x + 3

Coefficient Variable Values: a = 2 and b = -3 and c = 3

Axis of Symmetry: x = -b/2a = -(-3)/2(2) so answer is x = 3/4

Vertex: x value is axis of symmetry (3/4) and y value is calculated substituting 3/4 for x in original equation: y = 2(3/4)2 - 3(3/4) + 3 = 2(9/16) - 9/4 + 3 = 9/8 - 9/4 + 3 = 9/8 - 18/8 + 24/8 = 15/8,
so answer is (3/4,15/8)

x intercepts (solve using quadratic formula): x = (-b plus or minus sqrt(b2 - 4ac)/2a, so plugging in coefficient values for a and b and c, we get x = [-(-3) plus or minus sqrt((-3)2 - 4(2)(-3)]/2(2), which results in x = (3 + sqrt(33))/4 or (3 - sqrt(33))/4 and answers to nearest tenth are x = (3 + 5.7) / 4 = 2.2
or x = (3 - 5.7) / 4 = -0.7

y intercept is calculated by substituting zero for x into original equation: y = 2x2 - 3x + 3, so y-intercept is 3.

Domain is range is from calculated negative x intercept (-0.7) to calculated positive x intercept (2.2) and is written as (-0.7,2.2)

Range is from calculated y-intercept to positive infinity, since parabola opens up due to positive x2 coefficient value, so range is written as (3,positive infinity). Note: infinity symbol is sideways 8.

4 0

3 years ago

Read 2 more answers

Which would you use to compare 10 / 12 and 2 / 5 a common numerator or common denominator?

BartSMP [9]

We can compare 2 fractions by means of the cross multiplication method. In our case, we have

since 50 is greater than 24 then 10/12 is greater than 2/5: