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Vika [28.1K]
3 years ago
15

What does k^2 -8k-20=0

Mathematics
2 answers:
Karolina [17]3 years ago
7 0
k^{2}-8k-20=0 \\ (k-10)(k+2)=0 \\  \\ k-10=0 \\ k=10 \\  \\ k+2=0 \\ k=-2 \\  \\ \boxed{k=-2\ and\ 10}
victus00 [196]3 years ago
3 0
K² - 8k - 20 = 0
k = <u>-(-8) +/- √((-8)² - 4(1)(-20))</u>
                       2(1)
k = <u>8 +/- √(64 + 80)</u>
                 2
k = <u>8 +/- √(144)
</u>              2<u>
</u>k = <u>8 +/- 12</u><u>
</u>            2
k = <u>8 + 12</u>          k = <u>8 - 12</u>
          2                        2
h = <u>20</u>                k = <u>-4</u>
       2                        2
x = 10                k = -2
<u />
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Marni recorded the cost of different weights of apples and made a scatter plot of her data!
Alla [95]

Given:

The scatter plot and trend line.

To find:

Type of association, slope, equation of trend line and average cost of apple per pound.

Solution:

Form the given graph it is clear that the trend line passes through the two points (0,0) and (12,24).

Slope of trend line is

m=\dfrac{24-0}{12-0}

m=\dfrac{24}{12}

m=2

Slope of trend line is positive. It means, it represents positive correlation.

So, the type of association of the scatter plot is positive association.

Therefore, the slope of trend line is 2.

The trend line passes through (0,0) have slope 2, so the equation of the trend line is

y-y_1=m(x-x_1)

y-0=2(x-0)

y=2x

Therefore, the equation of trend line is y=2x.

Slope of the line is 2.

Therefore, the average cost of apples per pound is $2.

4 0
3 years ago
Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. the boat sold for
sukhopar [10]
2250 is the answer problem 15% of 15,000

3 0
3 years ago
Find the value of the length x rounded to 1 DP.
ivanzaharov [21]

Answer:

x = 13.6 cm

Step-by-step explanation:

part A:

using tan rule:

tan(x) = \frac{opposite}{adjacent}

tan(39) = \frac{6}{adjacent}

adjacent = \frac{6}{tan(39)}

adjacent = 7.41

part B:

using tan rule:

tan(x) = \frac{opposite}{adjacent}

tan(44) = \frac{6}{adjacent}

adjacent = 6.213

Total length of x:

part A + part B

7.41 + 6.213

13.6 cm

6 0
2 years ago
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3) Graph by making a<br> table.<br> y=x
Zanzabum

Answer:

See attachment for graph

Step-by-step explanation:

Given

y = x

Required

Plot the graph

First, we need to make a table.

To do this, we assume values for x

When x = 1

y = x = 1

(x_1,y_1) = (1,1)

When x = 2

y = x = 2

(x_2,y_2) = (2,2)

When x = 3

y = x = 3

(x_3,y_3) = (3,3)

When x = 4

y = x = 4

(x_4,y_4) = (4,4)

So, the table is:

x || 1 || 2 || 3 || 4

y || 1 || 2 || 3 || 4

<em>See attachment for graph</em>

8 0
3 years ago
What is the gfc of 24 and 36
Alexandra [31]

Answer:

6 is the gfc

Step-by-step explanation:

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8 0
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