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OlgaM077 [116]
3 years ago
12

Which equation has the solutions x = (5 +- 2 \sqrt(7))/(3)?

Mathematics
2 answers:
asambeis [7]3 years ago
8 0
Recall the formula to find the solutions for an equation ax² + bx + c:
x₁₂ = (- b +/- √(b²-4ac) )/ 2a

Since at the denominator of our solution we have 3, which is an odd number, therefore it cannot be 2a, but only a, we should use the formula:

x₁₂ = <span>(-β +/- √(β²-ac) )/ a

Where </span>β = b/2

Hence, the only options that have an even number as b coefficient are C and D.

Now, we need to find what values give √(β² - ac) = 2√7 = √(4·7) = √28:

C) √(β² - ac) = √(25 - 3·6) = √7
D) √(β² - ac) = <span>√(25 - 3·(-1))</span> = √28

Hence, the correct answer is D) 3x² - 10x - 1 = 0
S_A_V [24]3 years ago
6 0

Answer:D

Step-by-step explanation:

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The probability that a farmer is in debt is 0.700. The probability that a farmer is in debt and also lives in the Midwest is 0.2
bogdanovich [222]

Answer:

0.4

Step-by-step explanation:

Given that:

P(debt) = P(D) = Probability of being in debt = 0.7

P(debt n Midwest) = P(Dn M) = probability of being in debt and lives in Midwest = 0.280

The probability that a randomly selected farmer lives in the Midwest given that he is in debt is?

P(M | D) = p(D n M) / p(D)

P(M | D) = 0.280 / 0.7

P(M | D) = 0.4

5 0
3 years ago
6 1/2 divided by 3/4
Naddik [55]
The answer is 8 2/3.
5 0
3 years ago
Last one plz help me!
Mashutka [201]

Answer:

a) no real solutions

Step-by-step explanation:

the discriminant (b² - 4ac) is negative which indicates no real solutions

3 0
3 years ago
What is the answer?
lukranit [14]
A) 4/9 = g/36
b) g = 16
c) 52 total pints, 8pints in a gallon, so 6.5 gallons
8 0
3 years ago
In a lab, a colony of 100 bacteria is placed on a petri dish. The population triples every "h" hour. What is the population of b
dlinn [17]

Answer:

900

Step-by-step explanation:

3 squared is 9. 9 time 100 is 900

8 0
2 years ago
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