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soldier1979 [14.2K]
4 years ago
14

Without solving the equation, determine the nature of the roots of x2 - 2 x - 8 = 0.

Mathematics
1 answer:
ad-work [718]4 years ago
3 0
Evaluate using the discriminant (the part of the quadratic equation under the square root sign) b²-4ac
In your equation, a=1, b=(-2), and c=(-8)...substitute their values into the discriminant:
(-2)²-4(1)(-8)
4+32 = 36

The value is positive, therefore the equation has two real roots.
It's a perfect square (√36=6) so the roots are rational
Answer: two real, rational roots

(If the result was a negative number, the system would have two irrational roots. If the result was zero, the system would have a <em>double root </em>(one value repeated twice - when graphed, the vertex of the parabola falls on the x-axis)∨<em />
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F/5-2.2=-2.5 solve please
Neporo4naja [7]
Add 2.2 to both sides
F/5=-.3
then multiply both sides by 5 and you get 
-1.5
6 0
3 years ago
Find the slope of the line through each pair of points for questions 21 to 39​
likoan [24]

Answer:

23,24,26,27 sorry if you get it wrong

6 0
4 years ago
What is the prime factorization for 36?<br> A. 22x32<br> B. 2x3x6<br> C. 6x6
ICE Princess25 [194]

Answer:

c. 6x6

Step-by-step explanation:

because 6x6 is =36

3 0
3 years ago
Read 2 more answers
Kamran Company produces various types of fertilizer. No beginning units in process or finished units were on hand on January 1,
Sergeeva-Olga [200]

Answer:

Cost of Goods Manufactured   900,000

Step-by-step explanation:

Kamran Company

Cost of Goods Manufactured.

Total Materials Used  Rs 300,000

Direct Materials = 75% of Rs 300,000=  Rs 225,000

Direct Labor= 60% of 350,000=  Rs 210,000

Prime Cost = 435,000

Factory Overhead

Indirect Materials = 75,000

Indirect Labor = 90,000

Heat, light and power Rs. 115,000

Depreciation 78,000

Factory Taxes 65,000

Repairs and Maintenance 42,000

Cost of Good Available for Manufacture : 900,000

Add opening WIP  --- Nil

Less Closing WIP ---Nil

Cost of Goods Manufactured   900,000

Selling Expenses were Rs. 80,000 general and administrative expenses were Rs. 50,000 are used in making Profit & Loss or the income statement.

Beginning and Ending Finished Goods are used in the Cost of Goods Sold Statement.

4 0
3 years ago
Need help with finding the p point
Alexxandr [17]

If P is a midpoint of DE, then:

DP + PE = DE and DP = PE → 2DP = DE

We have:

DP = 3x + 2 and DE = 10x - 12

Substitute:

2(3x + 2) = 10x - 12     |use distributive property

(2)(3x) + (2)(2) = 10x - 12

6x + 4 = 10x - 12     |subtract 4 from both sides

6x = 10x - 16     |subtract 10x from both sides

-4x = -16    |divide both sides by (-4)

x = 4

Substitute the value of x to the equation DP = 3x + 2:

|DP = 3(4) + 2 = 12 + 2 = 14

Answer: DP = 14 units

5 0
4 years ago
Read 2 more answers
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