The function p(x) = x(x - 5)(x − 2)(x+3) has four zeros. What is the smallest zero?
=
X =
1
1
2

X
3

Answers

Answer 1

Answer: The smallest zero is -3.

Step-by-step explanation: Zeros of a function are the values of input for which the function gives 0 output.

Here, the given function is,

p(x) = x(x-5)(x-2)(x+3)

For finding the zeroes of p(x),

p(x) = 0

⇒ x(x-5)(x-2)(x+3) = 0,

⇒ x = 0 or x - 5 = 0 or x-2=0 or x+3=0

⇒ x = 0 or x = 5 or x = 2 or x = -3

Thus, the zeros of the given function are 0, 5, 2, -3

In which -3 is smallest.

Answer 2

Answer:

x = -3

Step-by-step explanation:

x(x-5)(x-2)(x+3) = 0    means at least one of these terms = 0

so  

                        x = 0       or

x-5 = 0     then x = 5        or

x-2 = 0     then x = 2       or

x+3 = 0     then x= -3


Related Questions

Please someone help me with my question

Answers

Answer:

∠A≅∠Y        AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X         BC≅ZX

ΔABC ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

plssss i need helpp again​

Answers

Answer:

4〉

Shoe box is an example of rectangular prism.

5〉

Classroom ↬

6〉

Book ↬ cm²

7〉

Matchbox ↬ mm²

8〉

8 cm³ = 0.000008 or 8 × 10

9〉

28 m³ = 28000000 cm³ or 2.8 × 10⁷ cm³

10〉

95 cm³ = 0.095 L

What value of x makes this equation true?

6x=3x+18

Answers

Answer:

x= 6

Step-by-step explanation:

To find the value of x that makes the equation true, first shift all the x terms to one side of the equation.

6x -3x= 18

Simplify:

3x= 18

Divide both sides by 3:

x= 18 ÷3

x= 6

              [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       What value of x makes the equation [tex]\large\textit{6x=3x+18}[/tex] true?

         

[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

   [tex]\dagger[/tex] When solving an equation, we need to make sure that variables are on one side of the equation, which is usually the left-hand side,  and numbers are on the other side, which is usually the right-hand side, of the equation.

[tex]\bigstar[/tex] Since we have variables on the right-hand side as well as the left-hand side, we need to move all of them to the left-hand side, with the opposite operation:-

[tex]\sf{6x-3x=18}[/tex]                Subtract 6x-3x:-

[tex]\sf{3x=18}[/tex]                 Now, divide by 3 on both sides:-

[tex]\boxed{\boxed{\sf{x=6}}}\checkmark[/tex]

We've found the value of x, but we also need to make sure our solution is correct.

         We can do that by substituting 6 for x (into the original equation)

       and seeing whether or not we have a true statement:-

        [tex]\implies\sf{6(6)=3(6)+18}[/tex]

       [tex]\implies\sf{36=18+18}[/tex]

      [tex]\implies\sf{36=36}[/tex]

     [tex]\bigstar[/tex] Since the LHS equals the RHS, our solution (x=6) is correct.

Good luck with your studies.

         [tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

A perfect triangle is a triangle with two key characteristics: 1) all three side lengths are positive integers, and 2) the area of the triangle area is equal to its perimeter. is a triangle with sides of length 8, 9, and 16 a perfect triangle? set up expressions and show the work needed to solve in order to answer the question.

Answers

Answer: It is not a perfect triangle.

Step-by-step explanation:

The surface area of this cube is 54 square millimeters. What is the volume?

Answers

Answer:

27

Step-by-step explanation:

One face of the cube is 9 square cm (54/6). So the length of an edge is 3 cm.

3x3x3 = 27

Find the value of x that makes m ∥ n

Answers

Answer:

26

Step-by-step explanation:

When two lines are parallel, corresponding angles are equal.

Here,

m II n

5x + 13 and 143 are corresponding angles.

So,

5x + 13 = 143

Substract 13 on both sides,

5x = 143 - 13

5x = 130

Divide 5 on both sides,

x = 130 / 5

x = 26

need help will give brainliest i am timed answer in 20 minutes
What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

3
6
112
121

The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.

The axis of symmetry is the line x = 6.
The vertex of the graph is at (–6, –11).
The parabola has a minimum.
The parabola opens down.
The value of h, when the equation is written in vertex form, is positive.

Answers

Answer:

121

.

The axis of symmetry is the line x= 6

The parabola opens downwards.

The value of h when the equation is in vertex form is positive.

Step-by-step explanation:

In the pictures.

Hope it helps! :)

Does anybody know this? I think know the second one but I'm not sure. ABCD is a square find the following.

Answers

Answer:

see explanation

Step-by-step explanation:

in a square

• all sides are congruent

• all angles are right

• diagonals bisect the angles

• diagonals are perpendicular bisectors of each other

Then

∠ BCA = [tex]\frac{1}{2}[/tex] × ∠ BCD = [tex]\frac{1}{2}[/tex] × 90° = 45°

∠ AWD = 90°

Is (2, 2) a solution of the inequality y ≤ 3x - 5?
O (2,2) is not a solution.
O (2, 2) would be a solution if the inequality was y < 3x - 5.
• (2, 2) is a solution.
•There is not enough given information to determine this.

Answers

               - - - - -  - - -- - - - - - - - - - - - - - - - - - - - - - - -- - - -- - - - - - - - - - - - - - -- -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Is (2,2) a solution of the inequality y≤3x-5?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Simply write the y-coordinate in lieu of y and write the x-coordinate in lieu of x:-

2≤3(2)-5

Multiply:-

2≤6-5

2≤1

2 is less than 1, but it's not equal to 1.

So the right option is:-

[tex]\bigcirc\!\!\!\!\!\bigstar[/tex] (2,2) would be a solution if the inequality was y<3x-5

Good luck.

       - - - - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  - - - - - - -

50/13 rounded to the nearest tenth

Answers

Answer:

50/13= 3.846153846

nearest tenth anwer is easily 3.8

What is the greater rate, 22 miles in 20 minutes or 38 miles in 20 minutes? Show your work.

Answers

Answer:

the greater rate would be 38 miles in 20 minutes

Step-by-step explanation:

This is because when going 38 miles per 20 minutes, you are going 10 miles faster than 22 miles per 20 minutes

Given the two rectangles below. Find the area of the shaded region.
7
2
4
2

Answer:
\text{ units}^2 units
2

Answers

Answer:

52 units²

Step-by-step explanation:

A = L × W

Area = Length × Width

First find the total area: 44

Half that to find the total left side that is shaded: 22

Find the bottom right side, imagine it is a seperate shape. It would be 4 × 2 = 8. 44 + 8 = 52.

- Educator

determine whether each pair of polygons is similar. Explain.

Answers

Answer:

they are similar because polygons have three or more sides

Lamar pays 15.60 for a pack of 6 towels. Find the unit price in dollars per towel. If necessary, round your answer to the nearest cent.

Answers

Divide total price by quantity:


15.60 / 6 = 2.60

Unit price = $2.60

What is the surface area (in square meters) of a box with length of 3 m, width of 4 m and a height of 2 m? Round to the nearest whole number.

Answers

Answer:

C) 52

Step-by-step explanation:

=  2x 4x  3x  2x  3x  2x  4

Hope this helps!

2
3
4
5 5
6
7
8
9
10
TIME
A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?

Answers

Answer:

a is equal to 3 ...................

what is x in 2x − 3 + 4x = 21

Answers

Answer: x = 4

Step-by-step explanation:

2x - 3 + 4x = 21

6x - 3 = 21

6x - 3 (+3)  = 21 (+3)

6x = 24

24/6

x = 4

So first to rearrange the question so like terms are together

2x + 4x = 21 - 3

Then simplify

6x = 18

Then divide 6 to both sides to find x

X=3

Hope this helps!

What is the value of [(2/3)^0]^-3

Answers

Answer:

1

(2/3)^0=1

(1)^‐³

(1/1)³

1

Which polynomial lists the powers in descending order?
O A. 45+34-2-22+1
O
B. 3A-2+45-22+1
O C.1-22-2+45+34
© D. 4x5-22-2+3/+1

Answers

Answer:

D i believe

Step-by-step explanation: hoped this helps

SOLVE MATH TO GET 100+ PTS

Answers

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

How to represent a linear equation?

The situation forms a linear equation. Therefore,

y = mx + b

where

m = slopeb = y-intercept

Therefore, let's model the equation linearly,

where

b = number of books bought

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

learn more on linear equation here: https://brainly.com/question/11897796

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Answer:

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

How to represent a linear equation?

The situation forms a linear equation. Therefore,

y = mx + b

where

m = slope

b = y-intercept

Therefore, let's model the equation linearly,

where

b = number of books bought

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

learn more on linear equation here: brainly.com/question/11897796

#SPJ1

which equation represents a linear function 2ry+y= 9 , y=12r-5 , 3y+r2+t=0, 4r+2(y-1)=0

Answers

The equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.

What is linear function?

Linear function is the function in which the highest power of the unknown variable is one. Linear functions are used to model the real life problem in the mathematical expressions.

The linear function with dependent variable y and independent variable x can be written as,

y=mx+c

Here, m is the slope of the line represented by the function and c is the y intercept.

The equation given in the problem are,

2ry+y= 9

y=12r-5

3y+r2+t=0

4r+2(y-1)=0

The second option is similar to the standard linear function.

Hence, the equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.

Learn more about the linear function here;

https://brainly.com/question/15602982

#SPJ1

3^5*2^-6 please answer fast

Answers

[tex]3^5 \cdot 2^{-6}=\dfrac{3^5}{2^6}=\dfrac{243}{64}[/tex]

An item is regularly priced at $35. It is now priced at a discount of 40% off the regular price. What is the price now?

Answers

Answer:

15

Step-by-step explanation:

Is the mean most useful when there is an outlier?

Answers

Answer:

The median is more useful because the mean, which his the average can be affected by a large or small outlier.

Step-by-step explanation:

answer as soon as u can i need this

Answers

Answer:

 25.12 cm.

Step-by-step explanation:

you take pie times the diameter (4)cm and times them together.

Answer:

4π cm

Step-by-step explanation:

Circumference of circle

d = 4 cm

Circumference = πd

                         = π*4

                         = 4π cm

Find the value of x in the figure.

Answers

Answer: x = 100

Step-by-Step Explanation:

In the Figure, both the Angles form a Linear pair which means they sum up to 180 degrees.

Therefore,
57 + x + 23 = 180
57 + 23 + x = 180
80 + x = 180
x = 180 - 80
=> x = 100

Therefore, x = 100

Also finding the missing Angle :-

= x + 23
= 100 + 23
=> 123

The Angle is 123 degrees.

8x-3y times 5x5y over 10x6y2

Answers

Answer:

8x-5/4

Step-by-step explanation:

Cancel 5y x 5y/10 x 6y²=5/12y

8x-3y 5/12y

apply fraction rule a× b/c = a×b

____

c

8x-3y⁵/12y

8x-3y×5/12y

8x-3×5/12y

8x-3×5/12

=8x-5/4

someone pls help with this

Answers

Answer: B

Step-by-step explanation:

Substituting in the coordinates into the lines which they lie on,

[tex]r=p+b\\\\5r=4p+b[/tex]

Subtracting the equations,

[tex]-4r=-3p \implies \frac{r}{p}=\frac{3}{4}[/tex]

Find the distance between the two points on the graph

Answers

Answer: The side highlighted is 6.3 units long

Step-by-step explanation:

You can use Pythagorean therum to solve this problem

a² + b² = c²

We already know the length of two of the sides, a and b. So we will replace those variables with the given values

2² + 6² = c²

And now we solve

2² + 6² = c²

4 + 36 = c²

c² = 40

√40 = 6.3

What value(s) of x will make x2 = 9 true?
.............................................................................

A. 81 and -81
B. V3
C. 3 and -3
D. 3


Thank you to anyone who answers !! :-)​

Answers

Answer:

C.) 3 and -3

Step-by-step explanation:

The question is asking: "Which numbers can be multiplied by themselves and equal 9?" You can formally find this answer by taking the square root of 9, the opposite of squaring a number. Or, in this case, you can try the guess-and-check method. Remember, multiplying two negative numbers together results in a positive answer.

A.) is incorrect because 81 x 81 = 6561 and -81 x -81 = 6561.

B.) I'm assuming this answer is [tex]\sqrt{3}[/tex] (if it's not, there is still a better answer). This answer is incorrect because [tex]\sqrt{3}[/tex] x [tex]\sqrt{3}[/tex] = 3.

C.) is correct because 3 x 3 = 9 and -3 x -3 = 9.

D.) is incorrect because -3² also equals 9.

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