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3 years ago

Explain the effect that "h" has on the function f(x) = a(x - h)2 + k.

1 answer:

6 0

The expression given by f(x)=a(x-h)^2+k is a the equation of a vertex where (h,k) is the vertex. The importance of h is that it represents the x-intercept, the lowest or the highest point of the graph of the expression. This is a very important factor when determining the turning points of parabolas

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Witch of the following equations could be used to solve the problem? x2+2=36 2x+2=36 2x=36 2x+1=36

Tomtit [17]

Answer:

There is no problem stated, but here is the x's for every equations provided:

Step-by-step explanation:

a.) x²+2=36

x²=34

x=√34

b.) 2x + 2 =36

2x= 34

x= 17

c.)2x=36

x= 18

d.) 2x+1=36

2x=35

x=35/2

6 0

3 years ago

A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following

kiruha [24]

Answer:

After 47 days she will have more than 90 trillion pennies.

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

$1,2,4,8,16,32,.....$

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

$S_n=\dfrac{a(r^n-1)}{r-1}$

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

$\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}$

$\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}$

$\Rightarrow 90\times 10^{12}\le 2^n-1$

$\Rightarrow 2^n\ge 90\times 10^{12}+1$

$\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)$

$\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)$

$\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}$

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

8 0

3 years ago

Without doing the math, determine which is greater, 40 . 1/4 or 40/14. explain your reasoning

BARSIC [14]

40 is greater because we can easily see that 1/4 is not a whole number that is less than 40 and the 40/14 will be changed into a lesser mixed number which again, is less than 40.

8 0

3 years ago

use the pythagorean theorem to find the missing side length. 2 write sin, cosine, tangent of each angel.

Harlamova29_29 [7]

Answer:

1) $x=5\sqrt{3}$