Answer:
thats is the answer write it yourself and learn math
Answer:
Step-by-step explanation:
f * g = (x^2 + 3x - 4) (x+4)
open bracket
x((x^2 + 3x - 4) + 4 (x^2 + 3x - 4)
x³ +3x²-4x+x²+12x-16
x³+3x²+x²-4x+12x-16
x³+4x²+8x-16 (domain is all real numbers.
f/g = (x^2 + 3x - 4)/(x+4)
factorising (x^2 + 3x - 4)
x²+4x-x_4
x(x+4) -1 (x+4)
(x+4)(x-1)
f/g = (x^2 + 3x - 4)/(x+4) =(x+4)(x-1)/(x+4) = (x-1)
Before factorisation, this was a rational function so the domain is all real numbers excluding any value that would make the denominator equal zero.
Hence I got x - 1, and x cannot equal -4
So the domain is just all real numbers without -4
Answer:
the percent reduction is <u>33.6%</u> and the number of people who were issued a parking ticket are <u>42</u>.
Step-by-step explanation:
Given:
Last month in the village of 125 people were issued a parking ticket.
This month only 83 people were issued one.
Now, to find the percent reduction from this month to last month and the number of people who were issued a Parking ticket.
So, the reduction of the number of people who were issued a Parking ticket from this month to last month are:
125 people - 83 people = 42 people.
Thus, 42 people reduction from this month to last month.
Now, to get the percent reduction:



Therefore, the percent reduction is 33.6% and the number of people who were issued a parking ticket are 42.
If all the equations for the directrix are "x = " lines then this is a y^2 parabola. The actual equation is

. The standard form for a positive sideways-opening parabola is

. We know from the equation that the vertex of the parabola is at the origin, or else the translation would be reflected within the parenthesis in the equation. Our equation has no parenthesis to indicate movement from the origin. The vertex is (0, 0). Got that out of the way. That simplifies our standard form down to

. Let's take a look at our equation now. It is

. We could rewrite it and make it a closer match to the standard form if we multiply both sides by 8 to get rid of the fraction. That gives us an equation that looks like this:

. That means that 4p = 8, and p = 2. p is the distance that the focus and the directrix are from the vertex. Since this is a positive parabola, it opens up to the right. Which means, then, that the focus is to the right of the vertex, 2 units to be exact, and the directrix is 2 units to the left of the vertex. The formula for the focus is (h + p, k). Our h is 0, our k is 0 and our p is 2, so the coordinates of the focus are (2, 0). Going 2 units to the left of the origin then puts our directrix at the line x = -2. Your choice then as your answer is b.
Answer:
Maggie is 5 years old
Step-by-step explanation:
3M-4+M=16
add 4 to both sides
4M=20
Divide both sides by 4
20/4 = 5
M/Maggie is 5