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kobusy [5.1K]
3 years ago
10

6 is 30% of what number

Mathematics
1 answer:
Lina20 [59]3 years ago
7 0
Hello,

Shall we begin?

6 is 30% 

6.....................30%
x......................100%

x * 30 = 6 * 100
30x = 600
x = 600/30
x = 20


<span>Answers: 20</span>
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Find the value of m for which mx^2 - 6x + 5 = 0 has one solution.
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Answer:

m = \frac{9}{5}

Step-by-step explanation:

Given a quadratic equation in standard form ax² + bx + c = 0 ( a ≠ 0)

Then the discriminant Δ = b² - 4ac gives information on the nature of the solutions.

For the equation to have 1 solution we require b² - 4ac = 0

mx² - 6x + 5 = 0 ← is in standard form

with a = m, b = - 6, c = 5, then

b² - 4ac = 0

(- 6)² - (4 × m × 5) = 0

36 - 20m = 0 ( subtract 36 from both sides )

- 20m = - 36 ( divide both sides by - 20 )

m = \frac{-36}{-20} = \frac{9}{5}

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<span>The <u>correct answers</u> are:

x=-3 and x=-8.

Explanation<span>:

We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
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Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
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2 and 12 (sum 14)
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4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
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Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
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Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
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