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gladu [14]
3 years ago
7

HELP PLEASE! Write a quadratic function that passes through the point (-1,9), has an axis of symmetry of x=-3 and a minimum valu

e of 7.
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
7 0

Answer:

y = \frac{1}{2}x^{2} - 3x + 11.5

Step-by-step explanation:

Vertex form of a quadratic equation;

y = a( x - h )^{2} + k

Vertex of the parabolas (h, k)

The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

y = a ( x + 3 ) ^{2} + 7

Now substitute in the given point; ( -1, 9) and solve for a;

9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7           -7\\2 = 4a\\\frac{1}{2} = a\\

Hence the equation in vertex form is;

y = \frac{1}{2}(x - 3)^{2} + 7

In standard form it is;

y = \frac{1}{2}x^{2} - 3x + 11.5

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larisa [96]
It is 2.4 because the ratio is 5:4 so when you apply that to lines DA and EC you would get 2.4
3 0
3 years ago
According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 –
elena55 [62]

Answer:


Step-by-step explanation:

Given is an algebraic polynomial of degree 5.

g(x) = 3x^5-2x^4+9x^3-x^2+12\\

Here leading term is p=3 and constant term is q =12

Factors of p are ±1,±2,±3

Factors of q are \frac{±1,±2,±3,±4,±6,±12} \\

Possible forms of p/q will be the same for any other polynomial of degree 5 with leading term =3 and constant term = 12

Hence any other polynomial

g(x) = 3x^5+ax^4+bx^3+cx^2+12

will have same possible zeroes of p/q, when a,b,c are rational.

Hence any polynomial of this type would have the same possible rational roots.

7 0
3 years ago
I need held asp pls help me
aksik [14]

Answer:

18/23=18/23

Step-by-step explanation:

This problem is already in simplest form.

Hope this helped!!!!

5 0
3 years ago
If an hourglass takes an average of 1 hour to empty a full cycle, what probability of time does it take longer than 72 minutes i
Arturiano [62]

Answer:

0.82%

Step-by-step explanation:

First find the z-score.

z = (x − μ) / σ

z = (72 − 60) / 5

z = 2.4

Use a chart or calculator to find the probability.

P(Z > 2.4) = 1 − P(Z < 2.4)

P(Z > 2.4) = 1 − 0.9918

P(Z > 2.4) = 0.0082

7 0
3 years ago
Help pleaseeeeeee and good morning
dimulka [17.4K]

Answer:

1a w=-9                 1b s=20/7

2a x=12                 2b v=11

3a b=10                 3b a=9/5

4a c=1                    4b x=2

Step-by-step explanation:

6 0
3 years ago
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