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3 years ago

5x²—3x—2=0 by completing the square method

Mathematics

1 answer:

12345 [234]3 years ago

7 0

Answer:

{1, -2/5}

Step-by-step explanation:

5x^2 - 3x -2 = 0

x^2 - (3/5)x - 2/5 = 0

( x - (3/10) )^2 - (3/10)^2 - 2/5 = 0

( x - (3/10) )^2 = 2/5+9/100

( x - (3/10) )^2 = (7/10)^2

Take square roots on both sides

x - 3/10 = +/- 7/10

x = 3/10 +/- 7/10

= { 1, -2/5 }

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3 years ago

Please help!

Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7$

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

2 10

4 20

6 30

8 40

Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5$

The rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

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3 years ago

Name the binomial you can multiply by (x 9) to get the product x^2 5x - 36.

Mars2501 [29]

If you would like to solve (x^2 + 5x - 36) / (x + 9), you can do this using the following steps:

a = ?
(x + 9) * (x + a) = (x^2 + 5x - 36)
x^2 + ax + 9x + 9a = x^2 + 5x - 36
ax + 9x = 5x
a + 9 = 5
a = 5 - 9
a = - 4

The correct result would be c. x - 4.

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3 years ago

Cory's doughnuts sells a dozen doughnuts for $4.92. What is the unit cost per doughnut

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Answer:

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Why?

A dozen means 12. Therefore, Cory is selling 12 doughnuts for $4.92.

With that information, to find the price for one doughnut, we will divide $4.92 by 12.

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Thusly, the unit cost per doughnut is 41 cents or $\boxed{\$0.41}$ .

Hope this helps! (:

7 0

3 years ago

5x²—3x—2=0 by completing the square method ​

5x²—3x—2=0 by completing the square method