Brainliest for the first to answer these

1) (x - 2)/(x - 3) + (3x - 11)/(x - 4) = (4x + 13)/(x + 1)

mote1985 [20]

Step-by-step explanation:

or,(x-2)(x-4)+(3x-11)(x-3)/(x-3)(x-4)=(4x+13)/(x+1)

or,x^2-4x-2x+8+3x^2-9x-11x+33/x^2-4x-3x+12=(4x+13)/(x+1)

or,4x^2-4x-2x-9x-11x+8+33/x^2-7x+12=(4x+13)/(x+1)

or,4x^2-26x+41/x^2-7x+12=(4x+13)/(x+1)

or, (x+1)(4x^2-26x+41)=(4x+13)(x^2-7x+12)

or,4x^3-26x^2+41x+4x^2-26x+41=4x^3-28x^2+48x+13x^2-91x+156

or,-26x^2+4x^2+28x^2-13x^2+41x-26x-48x+91x=156-41

or,-7x^2+58x=115

or,-7x^2+58x-115=0

or,-(7x^2-58x+115)=0

or,7x^2-58x+115=0

or,7x^2-(35+23)x+115=0

or,7x^2-35x-23x+115=0

or,7x (x-5)-23 (x-5)=0

or, (x-5)(7x-23)=0

Either, Or,

(x-5)=0 (7x-23)=0

or,x=0+5 or,7x=23

:x=5 :x=23/7

Hence,x=5 or 23/7

7 0

3 years ago

The factored form of a quadratic equation is y=(2x+1)(x-5), and the standard form is y=2x²-9x-5. Which of the following statemen

Troyanec [42]

Answer:

<h2>B) The x-intercepts are -1/2 and 5,</h2><h2>and the y-intercept is -5.</h2>

Step-by-step explanation:

The intercept form of a quadratic equation y = ax² + bx + c:

$y=a(x-p)(x-q)$

$\text{x-intercepts:}\ p\ \text{and}\ q\\\\\text{y-intercept}:\ a(-p)(-q)$

We have the equation:

$y=2x^2-9x-5=(2x+1)(x-5)$

$2x+1=2\left(x+\dfrac{1}{2}\right)\to y=2\left(x+\dfrac{1}{2}\right)(x-5)$

$y=2\bigg(x-\left(-\dfrac{1}{2}\right)\bigg)(x-5)$

Therefore

$a=2\\\\x-intercepts:\ p=-\dfrac{1}{2}\ \text{and}\ q=5\\\\\text{y-intercept:}\ (2)\left(-\dfrac{1}{2}\right)(5)=-5$

5 0

3 years ago

Use the information in the diagram to determine the height of the tree to the nearest foot.

Illusion [34]

The answer is 80 ft.

Based on the diagram we know that the tree triangle and the building triangle are similar triangles where the lengths of each are proportional to the other.

The lengths of the triangle the tree makes are half of the lengths of the building triangle. So this problem can be solved using ratio and proportion:

$\frac{144}{160} = \frac{72}{x}$

to solve for x, all you need to do is cross multiply then divide.

$\frac{160*72}{144} =x$

The answer is then 80ft.

Another way to solve this is just by using logic. If the lengths of the tree triangle is half of the building, simply divide the lengths of the building triangle by two.

160ft/2 = 80ft.

8 0

3 years ago

PLEASE HELP WITH THIS ASPA 3/8 divided by-3/5

Nimfa-mama [501]

Answer:

Step-by-step explanation:

8 0

3 years ago

Cual de estos tipos de mentalidad puede contribuir a superar situaciones de no inclusión porque

posledela

La mentalidad de crecimiento, ya que a diferencia de la mentalidad fija, nos permite ver en otras personas la mentalidad de mejorar y perseverar.

5 0

4 years ago