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kirill115 [55]
4 years ago
13

The minimum of a parabola is located at (-1,-3). the point (0,1) is also on the graph. which equation can be solved to determine

the a value in the function representing the parabola?
Mathematics
2 answers:
mario62 [17]4 years ago
8 0

Answer:

The equation that can be used to solve for a is 1 = a(0=1)²-3.

Explanation:

In this case, I would model the parabola in vertex form.  Vertex form is y = a(x-h)²+k, where (h,k) is the vertex of the parabola.  Using the information from the question, we can plug in values to get 1 = a(0+1)²-3.  (This could be simplified as 1 = a(1)²-3 ⇒ 1 = a-3 ⇒ a = 4, but we are only interested in finding the equation that can solve for a.)

Travka [436]4 years ago
7 0

Answer:

The correct answer is A, 1 = a(0 + 1)^2 – 3

Step-by-step explanation:

The verified guy made a typo, putting = instead of + :P

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3 years ago
What are all of the real roots of the following polynomial? f(x) = x^4 -24x^2 - 25 A. -1 or 1 B. -5 or 5 C. -5, -1, 1, or 5 D. -
professor190 [17]

For this case we have the following function:

f (x) = x ^ 4-24x ^ 2-25

We make a change of variable:

u = x ^ 2

So, we have:

u ^ 2-24u-25

We apply the resolver:

a = 1\\b = -24\\c = -25\\

u = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\u = \frac {- (- 24) \pm \sqrt {(- 24) ^ 2-4 (1) (- 25)}} {2 (1)}\\u = \frac {24 \pm \sqrt {576 + 100}} {2}\\u = \frac {24 \pm \sqrt {676}} {2}\\u = \frac {24\pm26} {2}

We have two roots:

u_ {1} = \frac {24 + 26} {2} = 25\\u_ {2} = \frac {24-26} {2} = - 1

Returning the change:

x ^ 2 = 25\\x = \pm \sqrt {25} = \pm5

x ^ 2 = -1 Give the imaginary roots.

Answer:

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5 0
3 years ago
4. Multiply each side of the following equation by 4 and
neonofarm [45]

If the given inequality is -3x ≤ -7, then:

The equivalent inequality is the one in the third option:

-12x ≤ - 28

<h3></h3><h3>How to find the equivalent inequality?</h3>

If we have an inequality:

A > B

We can multiply both sides of that inequality for any real number larger than zero, and the inequality will not change.

In this case, our inequality is:

-3x ≤ -7

If we multiply both sides by 4 (which is a real larger than 4) then we will get the equivalent inequality:

4*(-3x) ≤ 4*(-7)

-12x ≤ - 28

Which is the third option.

Learn more about inequalities:

brainly.com/question/24372553

#SPJ1

8 0
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