Mathematics High School

Consider the function f (x) = x (x+3)(x – 4).
What are the zeros of the function?

Answers

Answer 1

Answer:

The solutions are:

[tex]x=0,\:x=-3,\:x=4[/tex]

Step-by-step explanation:

Given the function

[tex]f(x) = x(x+3)(x - 4)[/tex]

In order to determine the zeros of the function, we substitute f(x) = 0

[tex]0\:=\:x\left(x+3\right)\left(x\:-\:4\right)[/tex]

switch sides

[tex]x\left(x+3\right)\left(x-4\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x=0\quad \mathrm{or}\quad \:x+3=0\quad \mathrm{or}\quad \:x-4=0[/tex]

Thus,

x = 0

and solving x + 3 = 0

x + 3 = 0

subtracting 3 from both sides

x + 3 - 3 = 0 - 3

x = -3

and solving x - 4 = 0

x - 4 = 0

x - 4 + 4 = 0 + 4

x = 4

Therefore, the solutions are:

[tex]x=0,\:x=-3,\:x=4[/tex]

Related Questions

4. (i) Solve the equation 2x2 – 7x + 4 = 0, giving
your answers correct to 2 decimal places.

(ii) Hence, find the values of y that satisfy the
equation 2(y – 1)2 – 7(y – 1) + 4 = 0.

Answers

????????????????????????????Step-by-step explanation:

!!help please!!
Solve the rational equation:

Answers

The answer is x = 1/2 or 0.5

What is the equation of the line containing the points (-1,9) and (2,18)

Answers

Answer:y = 3x + 12

Step-by-step explanation:

Which expression is equivalent to 10x+9+10x+1010x+9+10x+10?

Answers

: 10x + 10x +1010+ 10x= 1040x

9+9=18

Answer 1014x+ 18

Step-by-step explanation:

Answer:

ybcdafhuaydf

Step-by-step explanation:

i

dsf

ds

fds

f

dsf

What is the coefficient of the second term in this expression?


7 + 2n

Answers

Answer:

a2 = 11

Step-by-step explanation:

:)))))) help- thanks broski

Answers

Answer:

The answer is 12

Step-by-step explanation:

Brainlest pls :)

Answer:

12

Step-by-step explanation:

Remember order of operations:

6 + 3x 2^2 + 6 -3x4

6 + 3x4+6-12

6+12+6-12

12

Figs come in 2.4 lb bags. Apples come in 7.2 lb bags. How many times as many pounds are the apple bags as the fig bags?

Answers

Answer:

3

Step-by-step explanation:

7.2 ÷ 2.4 = 3

Write down the value of the 6 in the number 2693

Answers

Answer:

600

Step-by-step explanation:

The value of the 6 in 2693 is 600 because it is in the hundreths place.

(The 3 is in the ones place, the 9 is in the tens place, the 6 is in the hundreds place, and the 2 is in the thousands place.)

The sales tax rate is 3% . If Aaron buys a golf club priced at $96, how much tax will he


pay?

Answers

Answer:

98.88

Step-by-step explanation:

98.88 bru :)                              hope this helps you out bro.

What is the slope of (10,8) and (-5,8)

Answers

Answer: The slope is 0.

***If the picture is sideways, use the rotate button.

Answer: 2/1

Step-by-step explanation:

Can I pls have help!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3. The middle option

4. I have no idea, maybe someone else can solve it

5. The second-to-last option

6. right, isosceles

7. obtuse, scalene

8. obtuse, isosceles

9. 43 degrees

10. 14 degrees

Step-by-step explanation:

A system of equations is given below.

{
5
x
−
2
y
=
3
3
x
−
y
=
4
{
5x−2y=3 3x−y=4⁢
Which of these procedures will eliminate a variable in one of the equations in the system above?
A.
Multiply the second equation by –2 then add the result to the first equation.
B.
Multiply the second equation by 2 then add the result to the first equation.
C.
Multiply the first equation by –2 then add the result to the second equation.
D.
Multiply the first equation by 2 then add the result to the second equation.

Answers

The anwser is A

By multiplying the second equation by -2, it makes the new equation -6x+2y = -8

When you add that to the first equation you get x=-5

The procedures will eliminate a variable in one of the equations in the system 5x - 2y = 3 3x - y = 4⁢ is

A. Multiply the second equation by –2 then add the result to the first equation.

What are the types of solutions of a system f linear equations?

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Given, A linear system,

5x - 2y = 3...(1) and 3x - y = 4...(2)

Now, To eliminate one of the variables 'x' or 'y' we can apply arithmetic operations to the linear operations.

Now, If we Multiply the second equation by  - 2 and then add the result to the first equation we'll have,

- 6x + 2y = - 8

Now, Adding this to the eqn(1) variable 'y' gets cancelled and we have,

learn more about linear equations here :

https://brainly.com/question/29739212

#SPJ2

-2c+22=10
plz help calvarez0324

plz help asap
what is the answer
and what does c stand for??!?

Answers

Answer:

-2c+22=10

-2c=-12

c=6

Step-by-step explanation:

subtract then divide

Answer: 6

Step-by-step explanation: because you move the 22 to the right side it is going to be -22 add 10 is -12

then you divide it by-2 which is 6 negative negative is always positive

What is the y-intercept of the equation:
y=-2/3 x - 12
A. -2/3
B. 12
C. -12
D. 2/3

Answers

Answer:

C

Step-by-step explanation:

C. -12

In the equation y=mx+b, the b is your y-intercept.

pls help me with this

Answers

Answer:

4.50

Step-by-step explanation:

sin 40°= opposite/hypotenuse

sin 40°= opp/7

0.6428= opp/7

multiply both sides by 7

[tex]0.6428 \times 7 = \frac{opp}{7} \times 7 [/tex]

4.4996= opp

to nearest hundredth = 4.50

Which of the following graphs has a constant rate of change?

Answers

Answer:

D

Step-by-step explanation:

Because I just know

VTim thought of a number X, multiplied it by 15, and then subtracted 3. And then he told the result Y to Jim.

Answers

Answer:

(15X-3)

Step-by-step explanation:

Let the number be x.

Tim thought of a number X, multiplied it by 15, and then subtracted 3.

It means, the number will be :

(15X-3)

Hence, he told (15X-3) to Jim.

PLS HELP WILL MARK BRAINLIEST
Jace has (n) nickels and (d) dimes. He has at most 20 coins altogether. Write this situation as an inequality.

Answers

Answer:

[tex]n+d\leq 20[/tex]

Change 6 17/100 to a %.

Answers

Step-by-step explanation:

6 17/100=(6×100+17)/100=617/100×100%=617%i think

i need help pls ASAP

Answers

C,

Reason
Square root of 7 is 2.6457
Should be “C” because of root 7 is approximately to 2.64

Roy and two friends are at a game center. Each person buys hot dogs for $3, fries for $2.49, and a drink for $2.50. They also have a coupon for $1 off each drink. Write an expression to represent the total cost. Then find the total cost.

Answers

Answer:

$20.97

Step-by-step explanation:

3 people, meaning to multiply each one by 3.

Total price of Hot Dogs= 9.00

Total price of Fries=7.47

Total price of Drinks=7.50

7.50 - 3= $4.50

9.00+7.47+4.50= $20.97

(3c2 - 7) + (4c + 7) - (c2 + 5c - 8) is equivalent to 2c2 - c + 8.
TRUE OR
FALSE

Answers

Answer:

TRUE

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

There are 20 flowers in a bouquet, and 2 of them are roses. What percent of the flowers are roses?
Please help. don't need any work just the answer is fine.

Answers

Answer

.4 percent

Step-by-step explanation:

Answer:

.5%

Step-by-step explanation:

The stock price for fwt was $42.61 in October. In November the stock had increased 7%, but in December the price fell by 7%. What was the price of fwt stock in December? Round your answer to the nearest cent, if necessary.

Answers

Answer:

$42

Step-by-step explanation:

The computation of the price of fwt stock in december is shown below:

In November, it would be

= Stock price in October × (1 + 0.07)

= $42.61 × 1.07

= $45.5927

In December it would be

= $45.5927 × (1 - 0.07)

= $42.40

= $42

Use greatest common factor and the distributive property to write equivalent expressions in factored form. 13 + 15

Answers

Answer:

The answer is "ab(13+15)".

Step-by-step explanation:

Please find the complete question in the attached file.

Given value:

[tex]\to 13ab+15ab\\\\\to ab(13+15)\\\\[/tex]

URGENT PLEASEEEE HELPPPP

Answers

Answer:

they should get 8/3 each but because of your question the answer lies between 2 and 3

Step-by-step explanation:

if 3 cats and 8 once then 8 divided by 3 is 8/3 which is about 2/6667 then that is between 2 and 3. Done!

You simply divide the 8 ounces of cat food between the 3 cats, so we have 8\3 which is equal to 2.66 therefore our answer lies between the whole numbers 2 and 3.

which translation is it?

Answers

the 2nd option

that would move the shape into quadrant 2 which is (-x,y). making all the number positive in the y value

please help, the answer choices are the following:

A. X=7in
B. X=8in
C. X=9in
D. X=10in
E. X=11in​

Answers

Answer:

B

Step-by-step explanation:

Hope this helped! please tell me if im wrong!

Plz help me...............

Answers

Pretty sure it’s c might be wrong doe

Input in standard form the equation of the given line.
The line through (0, -3) and (3, 0)

Answers

y=x-3
when you have y=x you get a line that passes through (0,0) so in order for the line to hit the points you listed (0,-3)(3,0) you need to adjust the y-intercept by subtracting 3 from x
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