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aliya0001 [1]
3 years ago
14

Write an equation for the family of quadratic functions, in factored form, with the zeros 0 and negative 8.

Mathematics
1 answer:
Alisiya [41]3 years ago
4 0
F(x)=x(x+8) is the answer.
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Can someone please help me with this last one. I am totally lost and don’t understand
Ad libitum [116K]

Answer:

g(-4) = -1

g(-1) = -1

g(1) = 3

Explanation:

If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.

For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.

Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.

As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.

It is a coincidence that g(-1) = -1.

Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.

We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3

4 0
3 years ago
Which number can be inserted in the parentheses to make the statement true? negative 3 and one-fourth is greater than left-paren
DIA [1.3K]
The correct answer is D, -5 1/3.

The reason is that on a number line -3 1/4 would be placed to the right of -5 1/3.

The further you are to the right on the number line, the bigger the number.
4 0
3 years ago
Sharon read a 300-page book. She read at a rate of 15 pages per day in d days.
Gnom [1K]
15 times D= 300    
 the 15 is pages
 D is pages per day
 300 is amount of total pages           
8 0
3 years ago
Read 2 more answers
OKAY I HAVE A PICTURE NOW PLEASE HELP 40 POINTS I WILL GIVE JUST PLZ THERE WILL BE 4 PARTS BTW PT 1
sergiy2304 [10]

Answer:

WHERES THE PICTURE???

Step-by-step explanation:

6 0
2 years ago
Solve the equation 19 − x = 27<br> x = 8<br> x = 18<br> x = 46<br> x = -8
seraphim [82]
X = -8.
subtract 19.
-X = 8
divide by -1.
X = -8
7 0
3 years ago
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