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3 years ago

Tx^2+3x-7=0 has two real solutions. What can be deduced from value of T?

Mathematics

1 answer:

Nutka1998 [239]3 years ago

7 0

Answer:

T > -9/28

Step-by-step explanation:

A quadratic has two real solutions when the discriminant (b² - 4ac) is positive.

b² - 4ac > 0

3² - 4(T)(-7) > 0

9 + 28T > 0

28T > -9

T > -9/28

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When given Slope= -6/5 Y-intercept= 2 What is this in Point-Slope form?

marishachu [46]

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Answer: $\textsf{y - 2 = -6/5(x - 0)}$

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Given: $\textsf{Slope = -6/5, Goes through (0, 2)}$

Find: $\textsf{The equation in point-slope form}$

Solution: We need to take the values that were given to us and plug them into the point-slope form. It doesn't seem like the problem is asking for anything more than that so we will leave it at that.

Plug in the values

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - 2 = -6/5(x - 0)}$

Since the problem is just asking for the equation in point-slope form the final expression would be y - 2 = -6/5(x - 0).

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2 years ago

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Please help :0

Zinaida [17]

Mult. f(x) = x^4 by 2 will stretch the graph vertically by a factor of 2.
Thus, eliminate (a) and (b).

Mult. x by (1/4) will stretch the graph horiz. by a factor of 4. Thus, (c) is the correct answer.

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4 years ago

HEY PLS HELP IM STUCK

bagirrra123 [75]

Answer:16

Explanation:To find X intercept you plus in zero for X since X intercept is the value that the line touches the X axis so knowing this

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2 years ago

5x + 3y = 4z Solve for Y.

harkovskaia [24]

Answer:

y = -5/3x + 4/3z

Step-by-step explanation:

5x + 3y = 4z

3y = -5x + 4z

y = -5/3x + 4/3z

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3 years ago

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Factor the given expression. 64^3-343

Mashcka [7]

63³-343 = 261801

Factor the following integer:

261'801

The sum of the digits of 261801 is 2 + 6 + 1 + 8 + 0 + 1 = 18, which is divisible by 9. This means 261801 is too.

261801 = 9×29089:

261801 = 9×29089

9 = 3^2:

261801 = 3^2×29089

Because 29089 is odd, only test odd numbers for divisibility.

29089 is not divisible by 3, 5, 7, 9, 11, 13, 15 or 17.

29089 = 19×1531 which means 29089 is divisible by 19:

261801 = 3^2×19×1531

3 is prime:

261801 = 3^2×19×1531

Because 19 is odd, only test odd numbers for divisibility.

19 is not divisible by 3.

Since 19 is not divisible by any integer up to 4, it is prime:

261801 = 3^2×19×1531

Because 1531 is odd, only test odd numbers for divisibility.

1531 is not divisible by 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 or 39.

Since 1531 is not divisible by any integer up to 39, it is prime:

261801 = 3^2×19×1531

There are 2 copies of 3, 1 copy of 19 and 1 copy of 1531 in the product:

Answer: 261801 = 3^2×19×1531

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3 years ago

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