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3 years ago

At which root does the graph of f(x)=(x+4)^6(x+7)^5 cross the x-axis ?

Mathematics

2 answers:

ddd [48]3 years ago

6 0

Answer:

-7

Step-by-step explanation:

The equation is simplified so there are two possible answers here, -4 and -7

There is a root where y = 0 and x = a number

At -4 and -7 y = 0

However at -4 the function bounces since the (x+4) is raised to the 6th power.

When you have an even power, the function bounces at the x-axis, and when you have an odd power the function goes through the x-axis.

Since you can only choose one answer, the logical answer would be -7.

At x = -7, y = 0 and the function crosses the x-axis.

At x = -4, y = 0 but the function bounces on the x-axis.

The logical answer here is -7.

Sindrei [870]3 years ago

4 0

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the solution to the following system of equations? 4x + 2y = 18 x − y = 3

Ber [7]

For this case we have the following system of equations:

$4x + 2y = 18\\x-y = 3$

To solve, we clear "x" from the second equation:

$x = 3 + y$

We substitute "x" in the first equation:

$4 (3 + y) + 2y = 18\\12 + 4y + 2y = 18\\12 + 6y = 18$

We clear the value of the variable "y":

$6y = 18-12\\6y = 6\\y = \frac {6} {6}\\y = 1$

We look for the value of the variable "x":

$x = 3 + y\\x = 3 + 1\\x = 4$

Thus, the solution of the system is given by:

$(x, y) :( 4,1)$

Answer:

$(x, y) :( 4,1)$

Option D

4 0

2 years ago

What's the standard equation of the circle with the general equation x2 + y2 + 4x – 2y – 20 = 0? answers: 1) (x + 2)2 + (y – 1)2

gizmo_the_mogwai [7]

Answer:

4). (x + 2)^2 + (y - 1)^2 = 25.

Step-by-step explanation:

x^2 + y^2 + 4x - 2y - 20 = 0

x^2 + 4x + y^2 - 2y = 20

Completing the square on the x and y terms:

(x + 2)^2 - 4 + (y - 1)^2 - 1 = 20

(x + 2)^2 + (y - 1)^2 = 20 + 4 + 1

(x + 2)^2 + (y - 1)^2 = 25.

3 0

3 years ago

Evaluate 1/3m -1-1/2n when m=21 and n =12 . How much it’s it ?

Alik [6]

Answer:

Step-by-step explanation:

1/3(21) -1 -1/2(12)

7 - 1 - 1/2(12)

6 - 1/2(12)

6 - 6

6 0

2 years ago

The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 276 people entered the park, an

elena55 [62]

35x + 20y = 7620
x+y=276

Y=276-x
35x+20(276-x)=7620
35x+5520-20x=7620
15x=2100
X=140
140+y=276
Y=136
140 adults and 136 children

7 0

3 years ago