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Dima020 [189]
2 years ago
14

Does the quadratic function

Mathematics
1 answer:
NeX [460]2 years ago
6 0

Answer:

no real zeros

Step-by-step explanation:

We can use b^2-4ac which is 25-16*29.

We know that is negative meaning there is no real zeros.

By the way, can you follow me on Brainly?

Thanks!

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The velocity of a ball is thrown up is 20 meters/second. It attains zero velocity after 3.5 seconds. What is the average acceler
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Average acceleration: ( v - v o ) / Δ t
v = 0 m/s,  v o = 20 m/s,  Δ t = 3.5 s
a (average) = ( 0 m/s - 20 m/s )/3.5 s = - 20 m/s / 3.5 s =
 = - 5.7142857 m/s² ≈ - 5.71 m/s²
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What is the d value of the following arithmetic sequence? 5, 2, -1, -4, -7,…
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The d value is going to be -3 because you have to compute the differences of all the adjacent terms. 2-5=-3    -1-2=-3     -4-(-1)=-3   -7-(-4)=-3   The difference between all the adjacent terms is the same and equal to -3
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What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!
Delicious77 [7]
ANSWER
f(x)= \frac{1}{4} {(x - 1)}^{2}

EXPLANATION

Since the directrix is
y = - 1

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

(1,1)

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

{(x - h)}^{2} = 4p(y - k)
where
(h,k)

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
(1, - 1)

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
h = \frac{1 + 1}{2} = 1

and
k = \frac{ - 1 + 1}{2} = 0

The equation of the parabola now becomes,

(x - 1) ^{2} = 4p(y - 0)

|p| = 1

Thus, the distance between the vertex and the directrix.

This means that,

p = - 1 \: or \: 1

Since the parabola opens up, we choose
p = 1
Our equation now becomes,

{(x - 1)}^{2} = 4(1)(y - 0)

This simplifies to
{(x - 1)}^{2} = 4y

or

y = \frac{1}{4} {(x - 1)}^{2}

This is the same as,

f(x)= \frac{1}{4} {(x - 1)}^{2}

The correct answer is D .
4 0
3 years ago
A triangle is rotated 90about the origin. Which rule describes the transformation
Gennadij [26K]

Answer:

Rotation

Step-by-step explanation:

5 0
3 years ago
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