Which of the following is an X-intercept of the function f(X)=X^3-5X^2-8X+48

1 answer:

6 0

You have to searh the x values that make f(x) = 0

Factoring this equation is very difficult.

You can divide by x+3 and you will find that the equation can be factored as

(x+3)(x-4)^2

That means that x = -3 and x = 4 make f(x) = 0

Then the points are (-3,0) and (4,0).

You might be interested in

"Find the constants m and b in the linear function f(x) = mx + b so that f(2) = 10 and the straight line represented by f has sl

Ksju [112]

f(x) = mx + b m = slope = -5 f(2) = 10 = (-5)(2) + b b = 10 + 10 = 20 Ans. m=-5, b = 20

6 0

4 years ago

The integral of x(6x+7)^8

prisoha [69]

Hello,

Let's assume t=6x+7
x=(t-7)/6
dt=6dx

$\int\limits{x(6x+7)^8} \, dx = \int\limits { \dfrac{t-7}{6} t^8} \, \dfrac{dt}{6} \\

= \dfrac{1}{36} \int\limits{ (t^{9}-7t^8) \, dt = \dfrac{1}{36} ( \dfrac{t^{10}}{10}- \dfrac{7t^9}{9} )+C\\

= \dfrac{(6x+7)^9*(54x-7)}{3240} +C$

8 0

3 years ago

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.

Leokris [45]

Answer:a

Step-by-step explanation:

6 0

3 years ago

Which method is valid for proving that two circles are similar?

Grace [21]

First:

a. ratio of the diameter to the radius
the ratio of the diameter to the radius for any circle is always going to be 2:1 because the diameter is 2 times the legnth of the radius any time so A is not the right answer

b. the degrees of the circle is always 360, the circumference is the distance around the circle, so that would be a good indicator since 360 is constant, but the circumference can change, and if they are the same, then the circles are similar. so B is the right answer

c. Ratio of area to circumference. area=pir^2, and circumference=2pir
this is a good indicator becuase the ratio of the area and the circumference is different for every circle so c is the right answer

D. the ratio of the diameter to the circumference diameter=2r circumference=2pir
circumference=pi time diameter so the ratio of the diameter is 1:pi
this is not a good indicator so this is not the right answer

The answers are B and D, but if the teacher asks for only one, then I would pick c

3 0

3 years ago

Graph the image of Kite BCDE after a translation 5 units down.

NeTakaya

Answer:

See attachment for the translated kite

Step-by-step explanation:

Given

The attached image of BCDE

Required

Translate 5 units down

From the attachment;