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2 years ago

For what values of x does 25× - 5×²-3?

Mathematics

1 answer:

dusya [7]2 years ago

4 0

Answer:

X = 3, -1; B

Step-by-step explanation:

Use log properties, log 5 on both sides, log 5 of 25 is 2 that times the exponent, so 2*x = 2x, and on the other side, log 5 and base of 5 cancels. So 2x = x^2 -3, which can be solved using factoring:

x^2 -2x -3 = (x-3)(x+1) = 0, x=3,-1

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Triangle Z W X is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right

sashaice [31]

Answer:

b = 9.1units

Step-by-step explanation:

Find the diagram attached

Using the similarity theorem of triangle

WX/XZ = WY/WX

Substitute;

b/a+5 = 6/b

b² = 6(a+5) ... 1

Also according to pythagoras theorem on triangle WYX;

b² = 6²+a²...2

Equate 1 and 2

6(a+5) = 6²+a²

6a+30 = 36 + a²

a²-6a+36-30 = 0

a²-6a+6 = 0

a = 6±√36+4(6)/2

a = 6±√60/2

a = 6±7.745/2

a = 13.745/2

a = 6.8725

Recall that

b² = 6²+a²

b² = 36+6.8725²

b² = 83.2313

b = 9.12units

b = 9.1units

3 0

2 years ago

Divide using long division.<br><br> <img src="https://tex.z-dn.net/?f=%282x%5E%7B3%7D%20%2B5x%5E%7B2%7D%20%20-7x%2B6%29" id="Tex

babunello [35]

Answer:

The quotient = 2x - 1 and the remainder = 4x + 2

Step-by-step explanation:

$\frac{2x^{3}+5x^{2}-7x+6}{x^{2}+3x-4}=2x+\frac{-x^{2}+x+6}{x^{2}+3x-4}$

$\frac{-x^{2}+x+6 }{x^{2}+3x-4}=-1+\frac{4x+2}{x^{2}+3x-4}$

The quotient = 2x - 1 and the remainder = 4x + 2

3 0

3 years ago

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laiz [17]

The answer is A because the input is x and the out put is y so that would make it 9.

5 0

3 years ago

5a-4=-1(4-5a)<br> helppppppp

photoshop1234 [79]

Are you trying to find a?

8 0

3 years ago

What is the vertex of the quadratic function f(x) = (x - 3)(x - 2)?<br> D

Lera25 [3.4K]

Answer:

Step-by-step explanation:

Get the equation in the form y = ax2 + bx + c.

Calculate -b / 2a. This is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.

- that's how you find the vertex of the quadratic function-

5 0

3 years ago