-4 next to x value means the graph is moved 4 units to the right
+5 on the end of the function means the graph is moved up 5 units
This pattern of question is always coming up. Since we can't easily guess, then let us set up simultaneous equation for the statements.
let the two numbers be x and y.
Multiply to 44. x*y = 44 ..........(a)
Add up to 12. x + y = 12 .........(b)
From (b)
y = 12 - x .......(c)
Substitute (c) into (a)
x*y = 44
x*(12 - x) = 44
12x - x² = 44
-x² + 12x = 44
-x² + 12x - 44 = 0.
Multiply both sides by -1
-1(-x² + 12x - 44) = -1*0
x² - 12x + 44 = 0.
This does not look factorizable, so let us just use quadratic formula
comparing to ax² + bx + c = 0, x² - 12x + 44 = 0, a = 1, b = -12, c = 44
x = (-b + √(b² - 4ac)) /2a or (-b - √(b² - 4ac)) /2a
x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)
x = (12 + √(144 - 176) )/ 2
x = (12 + √-32 )/ 2
√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2
Where i is a complex number. Note the equation has two values. We shall include the second, that has negative sign before the square root.
x = (12 + √-32 )/ 2 or (12 - √-32 )/ 2
x = (12 + 4i√2 )/ 2 (12 - 4i√2 )/ 2
x = 12/2 + (4i√2)/2 12/2 - (4i√2)/2
x = 6 + 2i√2 or 6 - 2i√2
Recall equation (c):
y = 12 - x, When x = 6 + 2i√2, y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2
When x = 6 - 2i√2, y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2
x = 6 + 2i√2, y = 6 - 2i√2
x = 6 - 2i√2, y = 6 + 2i√2
Therefore the two numbers that multiply to 44 and add up to 12 are:
6 + 2i√2 and 6 - 2i√2
Answer:
two sets are said to be overlapping if they contain at least one element in common A=(1,2,3,4)and B =(4,7,1,9)are said to be overlapping sets.
Step-by-step explanation:
please answer my question I answer your question
(xii) NH₂ + Cl₂ →→→→NH₂CI+ N₂
(xiv) NaOH + Cl₂ →→ NaCl + NaCIO + H₂O
" (vi) CH, + 0,— CO, + H,0
xviii) C₂H₂ + O₂2 CO₂ + H₂O
(xx) Na + H₂O → NaOH + H₂
A (xxii) PbO₂ PbO + 0₂
xxiv) NH3 + CuO →→→ → N₂ + H₂O + Cu
xxvi) H₂S + Cl₂ →→→ HCI + S
xviii) H₂S + H₂SO4 → H₂O + SO₂ + S
(xxx) C + HNO3 → CO₂ + NO₂ + H₂O
Step-by-step explanation:
the answer should be 1004
Answer:
There are about 48 shells in Mrs. Reeds collection.
Step-by-step explanation:
There are 16 ounces per 1 pound.
4 ounces per shell.
16 x 12 = 192 ounces
192 ounces divided by 4 = 48
