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andriy [413]
3 years ago
10

Choose which function is represented by the graph

Mathematics
1 answer:
Viefleur [7K]3 years ago
4 0

Given:

The graph of a function.

To find:

The function.

Solution:

From the given graph, it is clear that the graph intersect the x-axis at x=-4, -2, 1. It means -4, -2 and 1 are zeros of the given function graph.

If c is a zero of a function f(x), then (x-c) is a factor of f(x).

Using the above definition, we conclude that (x+4), (x+2) and (x-1) are the factors of given function. So,

f(x)=(x+4)(x+2)(x-1)

f(x)=(x-1)(x+2)(x+4)

Therefore, the correct option is A.

You might be interested in
What are the coordinates of the midpoint of GH with endpoints (-2,5) and<br> H(4,1)?
kozerog [31]

Answer:

(1, 3)

Step-by-step explanation:

Given coordinates of 2 endpoints, G(-2, 5) and H(4, 1), midpoint of AB is calculated as shown below:

Midpoint (M) of GH, for G(-2, 5) and H(4, 1) is given as:

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Let G(-2, 5) = (x_1, y_1)

H(4, 1) = (x_2, y_2)

Thus:

M(\frac{-2 + 4}{2}, \frac{5 + 1}{2})

M(\frac{2}{2}, \frac{6}{2})

M(1, 3)

Coordinates of the midpoint of GH = (1, 3).

6 0
3 years ago
Which kingdom was divided into provinces ruled by governors who reported to the king? a Ghana b Mali c Songhai
Vera_Pavlovna [14]

Answer: Songhai

explanation:

7 0
3 years ago
Read 2 more answers
Solve each system using elimination.<br> − 5 = −10 <br> − + = 6
Maksim231197 [3]

The values of (x, y) are (-5, 1), if the equations x-5y=-10 and -x+y=6 are solved by elimination method.

Step-by-step explanation:

The given is,

                      x-5y=-10................................(1)

                    -x+y=6.....................................(2)

Step:1

           Equation (2) is multiplied by -1 ( Eqn (2) × -1 )

                      x-y=-6..................................(3)

Step:2

         Substrate the equation (1) and equation (3),

                                      x-5y=-10

                                        x-y=-6

          ( - )

         After the Subtraction equation becomes,

                   (x-x)+(-5y+y)=(-10+6)

                                (0)+(-4y)=(-4)

                                            -4y=-4

                                                 y=1

Step:3

           By using y value find value of x,

                                  x-5y=-10

                             x-(5)(1)=-10

                                           x=-10+5

                                           x=-5

Step:4

           Check for solution,

                                  -x+y=6

                              -(-5)+1=6

                                             6=6

           Both sides are equal so answer is corrected

Result:

         The values of (x, y) are (-5, 1), if the equations x-5y=-10 and -x+y=6 are solved by elimination method.

5 0
3 years ago
Tom has 234 marbles. His brother James have 3 times as many marbles as Tom. If they put all their marbles into 9 jars. How many
shutvik [7]
78 marbles in each jar
234•3=702/9=78
8 0
3 years ago
Which of the following is true regarding the solution to the logarithmic equation below? log subscript 2 baseline (x 11) = 4. x
frez [133]

The value of x is 5. Thus, the correct statement is:

x = 5 is a true solution because log subscript 2 Baseline (16) = 4

<h3>Data obtained from the question </h3>
  • Log₂ (x + 11) = 4
  • Value of x =?
<h3>How to determine the value of x </h3>

Log₂ (x + 11) = 4

x + 11 = 2⁴

x + 11 = 16

Collect like terms

x = 16 – 11

x = 5

<h3>**Check** </h3>

Log₂ (x + 11) = 4

x = 5

Log₂ (5 + 11) = 4

Log₂ 16 = 4

Find the value of Log₂ 16

Log₂ 16 = n

16 = 2ⁿ

2⁴ = 2ⁿ

n = 4

Thus,

Log₂ 16 = 4

Therefore, the correct answer to the question is:

x = 5 is a true solution because log subscript 2 Baseline (16) = 4

Complete question

Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4. x + 11 = 2 Superscript 4. x + 11 = 16. x = 5. x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 2 x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 4 x = 5 is a true solution because log Subscript 2 Baseline (16) = 4 x = 5 is a true solution because log Subscript 4 Baseline (16) = 2

Learn more about Logarithm equation:

brainly.com/question/7302008

4 0
2 years ago
Read 2 more answers
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