9514 1404 393
Answer:
f(x) = 2(x -3)² +5
Step-by-step explanation:
For vertex (h, k) and scale factor 'a', the vertex form is ...
f(x) = a(x -h)² +k
We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.
55 = a(-2 -3)² +5
50 = 25a . . . . . . . . subtract 5
a = 2 . . . . . . . . . . . divide by 25
So, the function is ...
f(x) = 2(x -3)² +5
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In standard form, that will be ...
f(x) = 2x² -12x +23
9514 1404 393
Answer:
B. 25 people
Step-by-step explanation:
The remainders tell you the number will be 1 more than some multiple of the least common multiple (LCM) of 2, 3, and 4. The LCM is 3·4 = 12, so we want some multiple (n) of that such that 12n+1 is a multiple of 5. We know this is the case for n=2.
The least number of people who could be in the club is 2·12+1 = 25.
The answer is 1/27
To raise a fraction to a power, raise the numerator and denominator to that power
1 raised to any power equals 1
Answer:
(-3,-2)
Step-by-step explanation:
2x-5y=4
3x-7y=5
solve the equation
x=2+5/2y
3x-7y=5
substitute the value of x into an equation
3(2+5/2y)-7y=5
multiply 3 to 2. and. 3 to 5/2y
6+15/2y-7y=5
minus 6 to 5 and. add 15/2y to -7y
-1/2y=1
divide both sides by -1/2
y= -2
substitute the value of -2 into an equation
x=2+5/2•(-2)
multiply 5/2 to -2
x=2+-5
add but since 5 is negative then subtract the numbers
x= -3
combine y= -2 and x= -3 as a point
So the answer is (-3,-2)
