Answer:
#1
Zeroes: x = 4, x = -6
The vertex is at ( -1 , 50 )
Step-by-step explanation:
I'll do the first one, you try the rest
All of these are written in y = a(x - x1)(x - x2) where x1 and x2 are given and x are the two different zeroes (or x-intercepts)
f(x) = -2(x-4)(x+6)
The zeroes are x - 4 = 0 and x + 6 = 0 if you solve, you get 4 and -6
Zeroes: x = 4, x = -6
The x value of the vertex can be found using -b/2a (in the form ax^2 + bx + c)
First expand f(x)
-2(x^2 + 2x - 24) => -2x^2 - 4x + 48
b = -4 and a = -2
-(-4)/2(-2) = 4/-4 = -1
the x-value of the vertex is -1
Now substitute -1 as x to find the y-value of the vertex
-2(-1-4)(-1+6) = -2(-5)(5) = 50 <= y-value of vertex
The vertex is at ( -1 , 50 )
Firstly: 3.3/4=15/4 h
She can walk 15÷(15/4)=4km in one hour
4*0.5=2km
So this woman can walk 2km within half an hour.
There are 625 different 4-digit codes only made with odd numbers.
<h3>
</h3><h3>
How many different combinations can you make?</h3>
To find the total number of combinations, we need to find the number of options for each one of the digits.
There are 4 digits, such that each digit can only be an odd number.
- For the first digit, there are 5 options {1, 3, 5, 7, 9}
- For the second digit, there are 5 options {1, 3, 5, 7, 9}
- For the third digit, there are 5 options {1, 3, 5, 7, 9}
- For the fourth digit, there are 5 options {1, 3, 5, 7, 9}
The total number of different combinations is given by the product between the numbers of options, so we have:
C = 5*5*5*5 = 625.
There are 625 different 4-digit codes only made with odd numbers.
If you want to learn more about combinations:
brainly.com/question/11732255
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Answer:
The answer is C 18
Step-by-step explanation:
4^2+8/4= 16+2=18
