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tino4ka555 [31]
3 years ago
5

(09.02)

Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0

Answer:

x = - 2, x = 10

Step-by-step explanation:

Given

x² - 8x - 20 = 0

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 8)

The factors are - 10 and + 2 , since

- 10 × 2 = - 20 and - 10 + 2 = - 8 , then

(x - 10)(x + 2) = 0

Equate each factor to zero and soilve for x

x + 2 = 0 ⇒ x = - 2

x - 10 = 0 ⇒ x = 10

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Scorpion4ik [409]

Answer:

Step-by-step explanation:

5y - 2y = 10

3y = 10

y = 10/3 = 3⅓

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3 years ago
Your neighbor agreed to trudge through the snow to buy snow shovels for 10 families on your street! The store owner gave him a d
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Answer:

$17

Step-by-step explanation:

We are assuming that snow shovels for 10 families means 10 shovel in total. If the manager is offering $2 discount per shovel, and there are ten shovels, then that is a 20 dollar discount. 85, the cost after discount, plus 20 is 105. 105/10=10.5. Your family is offering two pay for two shovels, so the total for you would come to $21, but there is the $2 discount, so subtract 4 dollars, and you have $17.

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3 years ago
Will an exponential function always, never, or sometimes exceed a polynomial function?
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3 years ago
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How is a system of equations created when each linear function is given as a set of two ordered pairs. Explain
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Answer:

Please check the explanation.

Step-by-step explanation:

If each linear function is given as a set of two ordered pairs, all we need is to find a slope between two lines and put one of the points in the slope- intercept form of the line equation to find the y-intercept 'b' and then writing the equation in the slope-intercept form. This is how we can generate a system of equations.

For example, let suppose a linear function has the following ordered pairs:

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Finding the slope between two points

\left(x_1,\:y_1\right)=\left(1,\:1\right),\:\left(x_2,\:y_2\right)=\left(2,\:3\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{3-1}{2-1}

m=2

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

Now, substituting the slope m = 2 and the point (1, 1) to determine the y-intercept

y=mx+b

1 = 2(1)+b

b = 1-2

b = -1

Now, substituting the slope m = 2 and the value of y-intercept in the slope-intercept form of the line equation

y=mx+b

y=2x+(-1)

y=2x-1

Thus, the equation of a line with the linear function having the points (1, 1) and (2, 3) is:

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