Which is the equation of a line with the same y-intercept as the line with the equation 5x -4y =12!

Mathematics

1 answer:

Lynna [10]3 years ago

7 0

Answer: the answer is d

Step-by-step explanation:

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Please help me understand how to do this and the answer!

Murrr4er [49]

Turn F(x) into vertex form:

y=x^2+8x+6
y-6=x^2+8x
y-6+16=x^2+8x+16
y+10=(x+4)^2
Thus the vertex is (-4,-10)

This is a minimum because the parabola is up up, or is positive

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3 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 3x = 24

Sophie [7]

We have that
x² + 3x = 24
Group terms that contain the same variable
(x² + 3x) = 24
Complete the square. Remember to balance the equation by adding the same constants to each side
(x² + 3x+2.25) = 24+2.25

Rewrite as perfect squares

(x+1.5)² = 26.25
(+/-)[x+1.5]=5.12
(+)[x+1.5]=5.12----> x=5.12-1.5---> x=3.62
(-)[x+1.5]=5.12-----> x=-1.5-5.12---> x=-6.62

the answer is
3.62, –6.62

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3 years ago

Graph a parabola whose x-intercepts are at x=-3 and x=5 and whose minimum value is y=-4

docker41 [41]

Answer:

(See explanation for further details)

Step-by-step explanation:

The standard equation of the parabola is:

$y + 4 = C \cdot (x-k)^{2}$