MATHEMATICS COLLEGE

What are the zeros of the quadratic function f (x) = 2x^2 -10x-3?

Answers

Answer 1

Answer:

Answer:

x=2.5+sqrt(300)/4, 2.5-sqrt(300)/4

Step-by-step explanation:

1. Need to factor or can use the quadratic formula

2x^2-10x-3=0

a=2, b=-10, c=-3

[-b+-sqrt(b^2-4*a*c)]/(2*a)

[10+-sqrt(100-4*(-200)]/4

[10+- sqrt(300)]/4

x=2.5+sqrt(300)/4, 2.5-sqrt(300)/4

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Decide on what substitution to use, and then evaluate the given integral using a substitution.(Remember to use absolute values where appropriate.) ∫ [(x⁵− x⁴) / (5x6 − 6x5)] dx

Answers

Answer:

The answer is $(1)/(30)\Big[2\log x-\log 6\Big]$

Step-by-step explanation:

Given,

$\int (x^(5)-x^(4))/(5x^(6)-6x^5)dx$

$=\int (x^4(x-1))/(x^5(5x-6))dx$

$=(1)/(6)\int\Big[(1)/(x)+(1)/(5x-6)\Big]dx$

$=\fracd{1}{6}\int (1)/(x)dx+(1)/(6* 5)\int(5)/(5x-6)dx$

$=(1)/(30)\Big[5\log x +\log (5x-6)\Big]$

$=(1)/(30)(2\log x-\log 6)$

Hence the result.

Select all of the numbers that Brooke could multiply by 2386 to get a product greater than 2386

Answers

Answer:

Step-by-step explanation:

Any number greater than 1 will give a number greater than 2386

Which ordered pair is a solution of the equation? y=-2x+5y=−2x+5 (Choice A) A Only (2,-9)(2,−9) (Choice B) B Only (-2,9)(−2,9) (Choice C) C Both (2,-9)(2,−9) and (-2,9)(−2,9) (Choice D) D Neither

Answers

Answer:

Choice B: Only (-2, 9)

Step-by-step explanation:

Of the two choices, only the point (-2, 9) satisfies the equation:

... y = -2x +5

... 9 = -2(-2) +5 = 4 +5 = 9

Answer:

The correct answer is B. Only (-2,9) is a solution of the equation.

Step-by-step explanation:

To figure out if an ordered pair is a solution to an equation, you could perform a test.

Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.

We have the equation

$y=-2x+5$

and two different ordered pairs (2, -9) and (-2, 9).

We use the x-value in the first ordered pair, x = 2, and we plug it into the equation.

$y=-2(2)+5\ny=-4+5\ny=1$

If we compare with the ordered pair (2, -9), y must be equal to -9, but when we plugged x = 2 into the equation, we obtained that y = 1, so this is not a solution.

Using the x-value of the second ordered pair, x = -2, we get

$y=-2(-2)+5\ny=4+5\ny=9$

Because we obtained y = 9, when we plugged x = -2, the ordered pair (-2, 9) is a solution of the equation.

The correct answer is B. Only (-2,9) is a solution of the equation.

What does -7(x+7)=-56

Answers

Answer:

x=1

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Answer: x = 1

The way you find x is by dividing both sides of the equation by -7

During a chemistry experiment, the volume of a solution increases when distilled water is added to the solution at a constant rate of 100 mL/min. Initially, there are 50 mL of solution, and water is added for 5 min.

Answers

Answer:

yes and there a r godd film?

Step-by-step explanation:

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