Vertex form is f(x) = a(x - b)^2 + c where the vertex is (b, c) and a is some constant.
So for the first part we have f(x) = a(x + 6)^2 - 1
for root -9:- a( -9+6)^2 - 1 = 0
9a - 1 = 0 , a = 1/9
The other 3 are derived in the same way.
so required equation is f(x) = (1/9)(x + 6)^2 - 1
Answer:
-2
Step-by-step explanation:
- and - is positive so -4+2 is -2
We will see that there are 50,000 different possible codes that start with an even number.
<h3>
How many possible codes are there?</h3>
We know that the code has 5 digits, each one with 10 possible options (except the first one, when we only can use even digits, so there we have 5 options).
And the numbers can be repeated any number of times through the code, then the total number of different codes that can be made is equal to the product between the numbers of options for each of the digits, we will have:
So there are 50,000 different codes.
If you want to know more about combinations:
brainly.com/question/251701
#SPJ1
<span>1/7 is the unit fraction or the simplest form of the given 12/84
Look into:
Equivalent fractions are fractions having the same value even if they look different. Look different means they may not have the same denominator or numerator but, when you multiply the top (numerator) and the bottom (denominator) by the same integer, the fraction keeps its value. </span>
<span> Equivalent fractions can be simplified and written as the same fraction for example, 18/27 = 6/9 = 2/3. </span>
<span>Example: </span>
<span>Two equivalent fractions of 8/24. </span>
<span>8/ 24 can also be 1/3. Why? How did it happen? </span><span>
Simply, get the GCF, the Greatest Common Factor or the GCD, Greatest common Divisor of both numerator and denominator.</span>
<span>8 = 1, 2, 4, 8 </span>
<span>24 = 1, 2, 3, 4, 6, 8, 12, 24 </span>
8 is the greatest common factor of 8 and 24 so,
<span><u>_8 </u>÷ <u> 8_ </u> = <u>_1_</u></span><span> </span><span>
24 8 3</span><span> </span>
8/24 is also equivalent to 2/6. Thus;
<span>8/24=2/6=1/3 <span>
</span></span>
30% of $15 is $4.50,hope this helps!