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Dovator [93]
3 years ago
12

What is the value of h when the function is converted to vertex form?

Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0

Answer:  The value of 'h' is 3.

Step-by-step explanation:  Given that the vertex form of a function is given by

g(x)=a(x-h)^2+k~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to find the value of 'h' when the following function is converted to the vertex form.

g(x)=x^2-6x+14~~~~~~~~~~~~~~~~~~~~~~(ii)

From equation (ii), we have

g(x)=x^2-6x+14\\\\\Rightarrow g(x)=x^2-2\times x\times 3+3^2-3^2+14\\\\\Rightarrow g(x)=(x-3)^2-9+14\\\\\Rightarrow G(x)=(x-3)^2+5.

Comparing it with the vertex form (i), we get

h=3.

Thus, the value of 'h' is 3.

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Equation: -5 3/4- 3 1/2 Please help meh. ​
vampirchik [111]

Answer:

-9\frac{1}{4}

Step-by-step explanation:

-5\frac{3}{4}-3\frac{1}{2}

Step 1: Factor out the common term -1

=-\left(5\frac{3}{4}+3\frac{1}{2}\right)

Step 2: Add the whole numbers

5 + 3 = 8

Step 3: Combine the fractions:

\frac{3}{4}+\frac{1}{2} = \frac{5}{4}\\\\=-\left(8+\frac{5}{4}\right)

Step 4: Convert the improper fractions to mixed numbers

\frac{5}{4} = 1\frac{1}{4}\\\\=-\left(8+1\frac{1}{4}\right)

Step 5: Add the numbers

8 + 1 =9 \\\\=-9\frac{1}{4}

Therefore, the answer to the equation is -9\frac{1}{4} in fraction, and decimal; 9.25

4 0
3 years ago
Suppose g (x) is increasing and concave up everywhere and g(A)=7, gprime(A)=13, h=.01
rewona [7]
First we need a point (x,y) : (A, 7) 
<span>Now slope (from f'(A)) = 15 </span>
<span>Next, the equation (using point slope formula) </span>

<span>y - 7 = 15 (x -A) </span>
<span>y = 15 (x - A) + 7 </span>

<span>Now in the x spot we put 'A-.01' </span>
<span>y = 15 ( A - .01 - A) +7= 15(-.01) +7 = -.15+ 7 = 6.85 
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8 0
3 years ago
the sears tower in chicago is 1450 feet hugh. a model if the tower is 24 inches tall. what is the ratio of the height of the mod
VladimirAG [237]
1 foot = 12 inches

Therefore:

2 feet = 24 inches

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2 feet x 725 = 1450 feet

------------------

The real tower is 725 times taller than the actual model.

Ratio:

725 : 1
4 0
2 years ago
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Shkiper50 [21]

Answer: Table D

Step-by-step explanation:

The coefficient of x^2 is -9, the coefficient of x is 7, and the constant is 0, so we know a = -9, b = 7, c = 0.

  • This eliminates tables A, B, and C.

Thus, table D is the answer.

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2 years ago
A 4​-ft vertical post casts a 20​-in shadow at the same time a nearby cell phone tower casts a 115​-ft shadow. How tall is the c
Klio2033 [76]

Answer:

Step-by-step explanation4363 :

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