Answer:

Step-by-step explanation:
f(x) = x² – 8 and g(x) = 4-x
y=f(x) - g(x)
y=(x² – 8) - (4-x)

Answer:
Please find attached the required graph and
Step-by-step explanation:
The values for the information given can be written down as follows;
Time, seconds Volume mL
0, 500
12, 450
24, 400
36, 350
48, 300
60, 250
72 250
84 250
96 250
108 250
120 250
132 250
144 250
156 250
168 250
180 250
192 250
204 250
216 250
228 250
240 250
252 250
264 250
276 250
288 250
300 250
312 225
324, 200
336, 175
348, 150
360, 125
372, 100
384, 75
396, 50
408, 25
420, 0
9514 1404 393
Answer:
- sides: 12 feet
- front: 28 feet
Step-by-step explanation:
Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...
P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle
80 = 2(x + (2x+4)) . . . . . with values from the problem filled in
40 = 3x +4 . . . . . . . . divide by 2, collect terms
36 = 3x . . . . . . . . . subtract 4
12 = x . . . . . . . . . divide by 3. This is the length of the side fence.
2x +4 = 2(12) +4 = 28
The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)
QUESTION 1
The given binomial is;

First terms are multiplied: 
Outside terms are multiplied: 
Inside terms are multiplied: 
Last terms are Multiplied: 
This gives us;


QUESTION 2
We want to factor

The HCF is 
We factor to get;

QUESTION 3;

Split the middle term;

Factor




The solutions are;
and 
These are the x-intercepts of the graph of the function

Answer:
C. 2
Step-by-step explanation:
Slope = (y2-y1) / (x2-x1) , (x1,y1) = (1,-5) , (x2,y2)=(4,1)
= (1-(-5)) / (4-1)
= (1+5) / 3
= 6/3
= 2