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mamaluj [8]
3 years ago
12

Which of the following is a true statement about functions?

Mathematics
1 answer:
olga2289 [7]3 years ago
5 0
The correct answer would be Choice D.

In this problem, the only change that was made was the order that you added the functions F and G. Since addition is commutative, we can reverse the order of the numbers being added without changing the problem.
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Is my answer correct? 10 points + brainleist!
Liono4ka [1.6K]

Answer:

your answer is incorrect.  The correct answer is  h=-13  and k=13 .

Step-by-step explanation:

If a quadratic function is f(x)=ax^2+bx+c and a>0, then minimum value of the function at point \left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right).

The given function is

f(x)=x^2+bx+182

Here, a=1, b=b and c=182. So.

-\dfrac{b}{2a}=-\dfrac{b}{2(1)}=-\dfrac{b}{2}

Put x=-\dfrac{b}{2} in the given function to find the minimum value of the function.

f(-\dfrac{b}{2})=(-\dfrac{b}{2})^2+b(-\dfrac{b}{2})+182

We know that minimum value is 13. So,

13=\dfrac{b^2}{4}-\dfrac{b^2}{2}+182

13-182=-\dfrac{b^2}{4}

-169=-\dfrac{b^2}{4}

169\times 4=b^2

Taking square root on both sides.

13\times 2=b

b=26

The value of b is 26.

So, the given function is  

f(x)=x^2+26x+182

Now, add and subtract square of half of coefficient of x.

f(x)=x^2+26x+182+(13)^2-(13)^2

f(x)=(x^2+2(13)x+(13)^2)+182-169

f(x)=(x+13)^2+13

On comparing with f(x)=(x-h)^2+k, we get

h=-13

k=13

Therefore, your answer is incorrect.

8 0
3 years ago
2x-2y=22 find the value of y when x equals 2
11111nata11111 [884]

Answer:

y = -9

Step-by-step explanation:

Step 1: Substitute x

2(2) - 2y = 22

Step 2: Isolate y

-2y = 18

Step 3: Divide by -2

y = -9

And you have your final answer!

8 0
3 years ago
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First Identify the Angle relationship, then solve for x.
aleksley [76]

Answer:

Corresponding Angles Theorem

x = -5

Step-by-step explanation:

Since they are corresponding angles, they are equal to each other.

x + 105 = 100

x = -5

3 0
3 years ago
Write two decimals that are equivalent to 3.7
DedPeter [7]
3.70 and 3.700 are some examples to get you started.
4 0
3 years ago
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Modeling a Bicycle Wheel Complete the table
Sladkaya [172]

Answer:

a= 6

b= 7

c= 8

d= 7

e= 6

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3 years ago
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