Answer:
i can't see the rest of the question so i don't know the answer choices but:
since x≥8
whichever choice is less than 8 is incorrect
step-by-step explanation:
i can't see the rest of the question so i don't know the answer choices but:
7x≥56
x≥8
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
89,000,000 Dived -10,000,000 ang get -0.89
Answer:
7x - 42
Step-by-step explanation:
Answer:
Please mark me brainliest!!!!!!!
Step-by-step explanation:
Step 1:
Multiply each by 5, then make any necessary conversions to the other units of measurement (ie. gallon, quart, etc)
30 gallons x 5= 150 gallons
3 quarts x 5= 15 quarts
1 pint x 5= 5 pints
Step 2:
CONVERSION
1 gallon=4 quarts
1 gallon= 8 pints
1 quart= 2 pints
GALLONS: 150 gallons
QUARTS:
=15 quarts ÷ # quarts in gallon
=15/4= 3 gallons 3 quarts
PINTS:
=5 pints ÷ # pints in quart
=5/2= 2 quarts 1 pints
TOTALS:
150 gallons
3 gallons 3 quarts
2 quarts 1 pint
Since we have 5 additional quarts, and we know that 4 quarts=1 gallon, we need to convert again.
=3 quarts + 2 quarts
=5 quarts ÷ # quarts in gallon
=5/4 = 1 gallon 1 quart
FINAL TOTALS
GALLONS: 150 + 3 + 1= 154 gallons
QUARTS: 1 quart
PINTS: 1 pints
