Answer:
Domain: All real numbers, except for x=4
Range: All real numbers
Step-by-step explanation:
There is no limit to how far either of the graphs go, so it will be infinite.
d) You have a <u>difference of squares</u>:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
Answer:
36 yards
Step-by-step explanation:
The triangle is a 3-4-5 right triangle with a scaling factor of 12. No complicated Pythagorean theorem has to be used in this case.
60/12 = 5
48/12 = 4
3 is the only base number remaining.
3(12) =36
Answer:
To calculate a break-even point based on units: Divide fixed costs by the revenue per unit minus the variable cost per unit. ...
When determining a break-even point based on sales dollars: Divide the fixed costs by the contribution margin.
Answer:
24/91
Step-by-step explanation:
6 red socks and 8 black = 14 socks
P( red) = red/total = 6/14 = 3/7
Keep the red sock
5 red socks and 8 black = 13 socks
P(black) = black / total = 8/13
P(red, black, keeping the sock) = 3/7 * 8/13 = 24/91
