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2 years ago

A portion of the Quadratic Formula proof is shown. Fill in the missing statement

Mathematics

1 answer:

Montano1993 [528]2 years ago

8 0

-b +/- (square root) b^2-4ac / 2a

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What is always true about a line that slants downward from left to right

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12 x 12+144

Step-by-step explanation:

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3 years ago

Find the equation in slope-intercept form that describes a line through (4, –2) with slope –3

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B or D is the answer

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3 years ago

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In the supermarket a loaf of bread costs 37p how many loaves can david buy with a 2 coin ? How much money will be left over?

Rasek [7]

Answer: He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

Step-by-step explanation:

Given, In the supermarket a loaf of bread costs 37p .

To find: How many loaves can David buy with a $\pounds 2$ coin?

Since $\pounds 1=100\text{ pence}$

Then, $\pounds 2=200\text{ pence}$

Number of loaves he can buy = (Amount he has) ÷ (Cost of a loaf of bread)

= 200 p ÷ 37 p

$=5\dfrac{15}{37}$

i.e. he can buy 5 loaves of bread and 15 p will be left.

Hence, He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

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3 years ago

A rectangular poster is to contain 882 square inches of print. The margins at the top and bottom of the poster are to be 2 inche

Zinaida [17]

Answer:

L = 23 in

h = 46 in

Step-by-step explanation:

Let call " x " and " y " dimensions of the print area of the poster then:

882 = x*y and y = 882/x

We also know that dimensions of the poster is:

L = x + 2 in and h = y + 4 in

Therefore area of the poster is:

A(p) = ( x + 2 ) * ( y + 4 ) And area as function of x is:

A(x) = ( x + 2 ) * ( 882/x + 4 )

A(x) = 882 + 4*x + 1764 /x + 8

Taking derivatives on both sides of the equation we have:

A´(x) = 4 - 1764/x²

A´(x) = 0 ⇒ 4 - 1764/x² = 0 ⇒ 4*x² - 1764 = 0

x² = 1764 / 4

x² = 441

x = 21 in and y = 882/x y = 42

The second derivative A´´(x) is > 0 ( the second term changes its sign to +) there is a minimum for the function at the point x = 21

As x and y are dimensions of the printing area of the poster, dimensions of the poster are

L = x + 2 = 21 + 2 = 23 in and

h = y + 4 = 42 + 4 = 46 in

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