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xxTIMURxx [149]
3 years ago
8

Identify the vertex of g(x) = (x+10)^2+2

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

Answer:

(-10, 2)

Step-by-step explanation:

Compare:

g(x) = (x+10)^2+2

f(x)  = (x - h)^2 + k

Matching these up, term by term, we see that h = -10 and k = 2.  (h, k) represents the vertex of the parabola f(x)  = (x - h)^2 + k.

We conclude that the vertex of this parabola is (-10, 2).

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Ghella [55]

Answer:

To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20

It has to be equated to zero and the values of x are the x-intercepts. So,

4x2 – 24x + 20 = 0

The resulting equation is a quadratic equation which can be solved by different methods. The solution is

x = 5, 1

The average therefore is:

(1+5/)2 = 3

5 0
3 years ago
Read 2 more answers
Find the exponential equation for the given information. Pls help
nikitadnepr [17]

Answer:

y = 12 (2.9)^{x}

Step-by-step explanation:

The standard form of the exponential function is

y = a (b)^{x}

Find a and b by substituting ordered pairs from the table into the equation

Using (0, 12 ), then

12 = ab^{0} ( b^{0} = 1 ), so

a = 12, then

y = 12 b^{x}

Using (1, 34.8 ) , then

34.8 = 12 b^{1} ( divide both sides by 12 )

b = 2.9

Thus exponential function is

y = 12 (2.9)^{x}

3 0
3 years ago
L need help with this​
soldi70 [24.7K]

Answer:

$24.11

Step-by-step explanation:

Let the cost of the present be c.

Then (3/4)c = $18.33.

To isolate (solve for) c, mult. both sides of this equation by (4/3):

(4/3)(3/4)c = (4/3)($18.33), or

             c  =  $24.11

5 0
3 years ago
What is -3(6x+4)+20x
Leona [35]

Answer:

2x - 12

Step-by-step explanation:

Given:

-3(6x+4)+20x

Distribute:

-18x-12+20x

Combine like terms:

2x-12

Hope this helps, have a nice day :))

3 0
2 years ago
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The hypotenuse of a right triangle is 9 inches long and another side is 6 inches. Find the length of the missing side. Round you
olga nikolaevna [1]
A² + b² = c²
a² = c² - b²
a² = 9² - 6²
a² = 81 - 36
a² = 45
a = √45
a ≈ 6.7082
a = 6.7
3 0
3 years ago
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