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KIM [24]
3 years ago
10

Use the value of the discriminant to determine the type of roots for x²-3x+1=0

Mathematics
1 answer:
nignag [31]3 years ago
7 0

Hi,

Δ = 9 - 4 * 1 * 1 = 5

the roots are :

x1 = (3 - √5) / 2

x2 = (3 + √5) / 2

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Ten times the sum of half a number and 6 is 8 <br>(As an equation)
Firlakuza [10]
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4
3 0
4 years ago
Examine the table below showing the merchandising sales and answer the questions that follow.
-BARSIC- [3]

Answer:

The mean amount spent = £14.80

The modal product is hoodies.

Step-by-step explanation:

Here

25 T shirts each costing £10 were purchased

Amount spent on T shirts = 25 × 10 = £250

30 key ring of £5 were purchased

Amount spent on key ring = 30 × 5 = £150

40 Hoodies for £25 each

Amount spent on Hoodies = 40 × 25 =£1000

30 CD's for £15 each

Amount spent on CD's = 30 ×15 = £450

Total amount spent = 250 +150 + 1000 + 450 = £1850

Total items purchased = 25 + 30 + 40 + 30 = 125

Mean amount spent = \frac{1850}{125}= 14.80

The modal product is Hoodies as the maximum number of hoodies were purchased.


6 0
4 years ago
The table shows a linear function.
sergejj [24]

Answer:

\large\boxed{y=\dfrac{5}{3}x+9}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the table we have an y-intercept (0, 9) → b = 9.

Take other point from the table (-6, -1).

Calculate the slope:

m=\dfrac{-1-9}{-6-0}=\dfrac{-10}{-6}=\dfrac{5}{3}

Finally:

y=\dfrac{5}{3}x+9

7 0
3 years ago
Find the point-slope form of the equation of the line that passes through the given point and has the indicated slope. Point: (-
zzz [600]

Answer:

slope : 3

y + 3 = 3(x + 5)

y + 3 = 3x + 15

y = 3x + 12

5 0
3 years ago
Find the Net Pay: 40 hours worked, $7.85 an hour. Deductions: Federal tax $32.24, Social Security $24.02, Other $24.53 Answer $3
Trava [24]
For the answer to the question on what is the net pay if you are <span>40 hours worked, $7.85 an hour. Deductions: Federal tax $32.24, Social Security $24.02, Other.

The answer to this question is the last one which is </span><span>$233.21

I hope my answer helped you.</span>
6 0
4 years ago
Read 2 more answers
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