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netineya [11]
2 years ago
5

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

Mathematics
2 answers:
Umnica [9.8K]2 years ago
7 0

Answer:

The value of h is 7.

Step-by-step explanation:

The given function is

p(x)=x^2-14x+29

where a=1,b=-14,c=29

The h-value of the vertex can be calculated with the formula;

h=-\frac{b}{2a}

We substitute the necessary values to obtain;

h=-\frac{-14}{2(1)}

Simplify to get;

h=7

elena-s [515]2 years ago
4 0

Answer: h=7

Step-by-step explanation:

By definition the function in vertex form is:

 f(x)=a(x-h)^{2}+k

Where (h,k) is the vertex of the parabola.

You must group the terms that contain the same variable in the function:

f(x)=(x^{2}-14x)+29

Complete the square as following:

f(x)=(x^{2}-14x+49)+29-49

Now you must rewrite it as following:

 f(x)=(x-7)^{2}-20

Then:

h=7

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What is -(5x+6)-x=-6-6x
Veronika [31]

Answer: All real numbers are solutions.

Step-by-step explanation:

<u>Let's solve your equation step-by-step.</u>

−(5x+6)−x=−6−6x

<u>Step 1: Simplify both sides of the equation.</u>

−(5x+6)−x=−6−6x

−5x+−6+−x=−6+−6x(Distribute)

(−5x+−x)+(−6)=−6x−6(Combine Like Terms)

−6x+−6=−6x−6

−6x−6=−6x−6

<u>Step 2: Add 6x to both sides.</u>

−6x−6+6x=−6x−6+6x

−6=−6

<u>Step 3: Add 6 to both sides.</u>

−6+6=−6+6

0=0

8 0
3 years ago
77+ 2(3x – 5) = 8 – 3(2x + 1)<br> 78 2 + 3(2 -7) – 0 - 13 I 1).
nika2105 [10]

Answer:

-31/6

Step-by-step explanation:

77+2(3x-5)=8-3(2x+1)

77+6x-10=8-6x-3

77-10+6x=8-3-6x

67+6x=5-6x

67+6x-(-6x)=5

67+6x+6x=5

67+12x=5

12x=5-67

12x=-62

x=-62/12

simplify

x=-31/6

3 0
2 years ago
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess
statuscvo [17]
Let's start by visualising this concept.

Number of grains on square:
1   2   4   8   16 ...

We can see that it starts to form a geometric sequence, with the common ratio being 2.

For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
T_n = ar^{n - 1}
T_{15} = 2^{14} = 16384

Thus, there are 16, 384 grains on the fifteenth square.

The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
S_n = \frac{a(r^{n} - 1)}{r - 1}
S_{15} = \frac{2^{15} - 1}{2 - 1}
S_{15} = 2^{15} - 1 = 32767

Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
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The answer is -8 because -2 * 4
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