We notice a factor of 2x in both
2x(5x^2+4x-3)
trial and error
(5x-3)(x+1) yeilds 5x^2+2x-3, nope
(5x+3)(x-1) yeilds 5x^2-2x-3, nope
(5x-1)(x+3) yeilds 5x^2+14x-3, nope
(5x+1)(x-3) yeilds 5x^2-14x-3, nope
simplest form is
2x(5x^2+4x-3)
Answer:
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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
Answer:
Step-by-step explanation:
1.) Get the equation in the form y = ax^2 + bx + c.
2.) Calculate -b / 2a. This is the x-coordinate of the vertex.
3.) To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.
1.) y = -x^2 - 10x + 24
2.) -(-10) / 2(-1) = -5
3.) y = -(-5)^2 - 10(-5) + 24
y = -25 + 50 + 24
y = 49
Answer:
8450 metres.
Step-by-step explanation:
To convert kilometres to metres, multiply the kilometre value by 1000.
For example:
It might also help to see it as shifting the decimal point three places to the right.
