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3 years ago

Find the standard form of the quadratic equation: f(x)=(2x-1)(x+4)

Mathematics

1 answer:

katrin [286]3 years ago

3 0

Answer:

$f(x) = 2x ^{2} + 7x - 4$

Step-by-step explanation:

$\because \: f(x) = (2x - 1)(x + 4) \\ \therefore \:f(x) = 2x(x + 4) - 1(x + 4) \\ \therefore \:f(x) = 2x ^{2} + 8x - x - 4 \\ \therefore \:f(x) = 2x ^{2} + 7x - 4 \\$

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2 years ago

Assume a and b are whole numbers, and a>b. Which expression has the least value?

dedylja [7]

a > b

A . a^5b^3/ab^4 = a^4/b

B. a^4 / a*a*a*a = a^4 / a^4 = 1

C. ab^2 / a^2b = b/a

D. b*b*b/b^3 = b^3/b^3 = 1

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C. b/a = 1/2 = 0.5

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3 years ago

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Arte-miy333 [17]

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3 years ago

Read 2 more answers

A large recipe calls for 3.18kg of sugar. Your bags of sugar are measured in pounds (lb). Remembering that 1kg=2.20462lb, how ma

evablogger [386]

Answer:

You will need to buy 5 1.50lb bags of sugar to make your recipe.

Step-by-step explanation:

This problem can be solved by consecutive rules of three.

A large recipe calls for 3.18kg of sugar. Your bags of sugar are measured in pounds (lb). Remembering that 1kg=2.20462lb

How many lbs of sugar you will need to buy?

1 kg - 2.20462lb

3.18 kg - x lb

$x = 3.18*2.20462$

$x = 7 lb$

How many 1.50lb bags of sugar will you need to buy to make your recipe?

1 bag - 1.50 lb

x bags - 7 lb

$1.5x = 7$

$x = \frac{7}{1.5}$

$x = 4.67$

You will need to buy 5 1.50lb bags of sugar to make your recipe.

8 0

3 years ago