1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bond [772]
3 years ago
12

Explain how to determine the zeros of f(x)=(x+3)(x-1)(x-8)

Mathematics
2 answers:
spin [16.1K]3 years ago
7 0

Answer:

x=-3,  x=1,  x=8

Step-by-step explanation:

When you have to find the zero of an equation like (x+3) all you have to do is solve for x.

x+3=0           equal the equation to zero

x+3-3=0-3    cancel out 3

x=-3              answer


If you have to find the zero of an equation like f(x)=-2x^2 - 5x + 7 then you would have to factor the equation.

7*-2=-14   multiply

-7 & 2   find the two numbers that when multiplied =14 and when added = -5

(2x^2 + 2)  (-7x + 7)  replace -5 with -7 & 2

-2x (x - 1)   -7 (x - 1)   factor

(x - 1)   (-2x - 7)    rewrite

1st: x - 1 = 0

          x = 1 : Answer

2nd: -2x - 7= 0

        -2x - 7 + 7 = 0 + 7

        -2x = 7

        -2x / -2 = 7 / -2

          x = 7 / -2 : Answer





arsen [322]3 years ago
4 0

Answer:

Solution :  x = -3, x = 1 , x = 8,

Steps : 1) Set f ( x ) = 0.

2) Set each factor equal to zero and solve to find the x- intercepts.

Step-by-step explanation:

Given : f(x)=(x+3)(x-1)(x-8).

To find : how to determine the zeros .

Solution : We have given that : f(x)=(x+3)(x-1)(x-8).

Steps for finding zeros

1) Set f ( x ) = 0.

2) Set each factor equal to zero and solve to find the x- intercepts.

Set f(x) = 0

(x+3)(x-1)(x-8) = 0

Now each factor equal to zero

(x+3) = 0

On subtracting by 3 both sides

x = -3

(x-1) = 0

On adding by 1 both side.

x = 1.

(x-8) = 0.

On adding by 8 both side.

x = 8.

Therefore, Solution :  x = -3, x = 1 , x = 8,

Steps : 1) Set f ( x ) = 0.

2) Set each factor equal to zero and solve to find the x- intercepts.

You might be interested in
X-intercept=2; containing the point (-5,4), using either the general form or the slope-intercept form of the equation of a line.
Rus_ich [418]
The line contains point (2, 0) and (-5, 4).
y - 0 = (4 - 0)/(-5 - 2) (x - 2)
y = -4/7 (x - 2)
7y = -4(x - 2)
7y = -4x + 8
4x + 7y = 8
8 0
3 years ago
Help me please im strugglin
IRINA_888 [86]

Answer:

propotianal

Step-by-step explanation:

Rise is how many you go up on the y axis x axis is how many you go to the left or right on the x axis if the number is negative you go the the right. the points match up with -4/1 - 1 so it's is proportional please give me brainliest

3 0
3 years ago
A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax 2 about the y-
Setler79 [48]

Answer:

a = \frac{1}{2}. Surface Area = \frac{4}{3}ft^{2}. and area of the Dish = \frac{4}{3}ft^{2}+pi4^{2} = \frac{4}{3}ft^{2}+50.27=51.6ft^{2}

Step-by-step explanation:

(1) Constant. y(x) = ax^{2} that is the curve that we need to rotate around the y axis to get the parabola with diameter of 8 feet and 2 meter depth that statement is translated in mathematics as x = -4 to 4 and y = 0 to 2.

y max = 2, x max = 4 setting up a equation with a unknown gives

2=a4 and  a = \frac{1}{2}.

so we have now.

y(x) = \frac{1}{2}x^{2} (Done with solving for a Constant).

(2) Surface Area.

Setting Up surface integral.

(i) range in x = 0 to 4.

(ii) range in y = 0 to 2.

integral is.

Integral(0-2)[{integral[(0-4)\frac{1}{32}x^{2}]}]dy

Evaluating this integral gives. \frac{4}{3}ft^{2}.

and area is surface area + area of the circle with 8ft diameter.

= \frac{4}{3}ft^{2}+pi4^{2} = \frac{4}{3}ft^{2}+50.27=51.6ft^{2}...

Note the Difference between area and aurface area.!

6 0
3 years ago
Graph ​ y+6=45(x+3) ​ using the point and slope given in the equation
il63 [147K]

Step-by-step explanation:

We have been given an equation y+6=45(x+3) in point slope form.

It says to use the point and slope from given equation to create the graph.

So compare equation y+6=45(x+3) with point slope formula

y-y1=m(x-x1)

we see that m=45, x1=-3 and y1=-6

Hence first point is at (-3,-6)

slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).

Now we just graph both points (-3,-6) and  (-2,39) and join them by a straight line. Final graph will look like the attached graph.

7 0
3 years ago
Devon had a length of rope that was 4.78 meters long. He cut a 1.45 meter length from it. How much rope does he have left
Inessa [10]
The answer would be 3.33 meters.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Sebastian is driving to a concert and needs to pay for parking. There is an automatic fee of $10 just to enter the parking lot,
    12·1 answer
  • the area of a rectangle is 56 centimeters. The length is 2 centimeters more than x and the width is 5 Centimeters less than twic
    13·1 answer
  • A circular fountain 10 feet in diameter has a circular walk 3 feet wide paved around it. What is the area of the walk?
    7·1 answer
  • Simplify the polynomial below<br><br> (a^3 + 4a^2 − 7) + (3a^3 − 2a^2 + 1)
    10·1 answer
  • 1) x+3 - 5x + 7 + 4y​
    10·2 answers
  • In need of help asaappppp
    8·2 answers
  • <img src="https://tex.z-dn.net/?f=f%282%29%20%2B%20g%283%29" id="TexFormula1" title="f(2) + g(3)" alt="f(2) + g(3)" align="absmi
    13·1 answer
  • Geometry Question! Please help me with this! Worth 20 points! WILL GIVE BRAINIEST
    10·1 answer
  • Please help quickly!!!!!
    8·2 answers
  • The area of a rectangle is 144a^8b^4 square units. If the width of the rectangle is 8a²b^2 units, what is the length in units?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!