Ask question

Ask question

All categories

3 years ago

9

Describe the behavior of the graph at the x-intercepts for the functions f(x)=(2x-7)^7 (x+3)^4. Be sure to identify each x-inter

cept and justify your answer.

1 answer:

k0ka [10]3 years ago

3 0

Answer:

Touches at -3 and crosses at 3.5

Step-by-step explanation:

f(x)=(2x-7)^7 (x+3)^4 is given

To find x intercepts:

for x intercepts the value of f(x) =0

Hence f(x)=(2x-7)^7 (x+3)^4=0

Solving we get

2x-7 =0 or x+3 =0

x = 3.5 or x=-3

Thus we find the zeroes of the polynomial of f(x) are 3.5 and -3.

3.5 has a multiplicity of 7 and -3 a multiplicity of 4

Since 7 is odd, i.e. 3.5 has a multiplicity of odd number, hence f(x) crosses x axis at x 3.5

Since -3 has a multiplicity of an even number 4, we find that the curve touches x axis at the point -3.

You might be interested in

PLEASE ANSWER THIS AND IF YOU DO YOU GET <br> 1. FOLLOW<br> 2. BRAINLIEST

snow_lady [41]

First: 0
Second: 0
Third: -5
Fourth: y=4x

7 0

3 years ago

There are 3 people pulling on an object, the first person pulls with a force of 226 newtons at a direction of 145 degrees the se

Alona [7]

Answer:

$R=883.74N$

Step-by-step explanation:

From the question we are told that:

Force 1 $F_1=226N$

Force 2 $F_2=331N$

Force 3 $F_3=377N$

Direction 1 $\theta_1=145 degrees \approx 35 \textdegree (2nd qudrant)$

Direction 2 $\theta_2=303 degrees \approx 57 \textdegree (3rd qudrant)$

Direction 3 $\theta_3=77 degrees$

Generally Resolving forces to X axis is mathematically given by

$\sum f_x=337cos77+331cos57+226sin35$

$\sum f_x=351.596N$

Generally Resolving forces to Y axis is mathematically given by

$\sum f_y=337sin77+331sin57+226cos35$

$\sum f_x=810.788N$

Generally the equation for Resultant force R is mathematically given by

$R=\sqrt{\sum f_x^2+\sum f_x^2}$

$R=\sqrt{351.596^2+810.788^2}$

$R=883.74N$

7 0

3 years ago

Please solve all with explanation

garri49 [273]

Answer:

1. $\frac{x^2}{y^8}$

2 a) $\frac{-49}{2}$

b) 0

3. x = 10

Step-by-step explanation:

1.

$(\frac{x^{-3}y^4}{x^{-2}})^{-2}\\({x^{-3+2}y^4})^{-2}\\({x^{-1}y^4})^{-2}({x^{-1*-2}y^{4*-2})= \frac{x^2}{y^8}$

2. a)

$2 [(\frac{-1}{4}) -12 (-1)^2] - 5[24 +2 (-12)]^2\\2[(\frac{-1}{4}) -12] - 5[24 -24]^2\\2 * [(\frac{-1}{4}) -12] -0\\\frac{-49}{2}$

b)

$-a^2b^2 - 3a^3b^2\\-\frac{1}{9}*1 - 3 * \frac{-1}{27} *1\\-\frac{1}{9} + \frac{1}{9}\\0$

3.

$\frac{3}{4}x + \frac{5}{6} = 5x -\frac{125}{3} \\\frac{5}{6} + \frac{125}{3} = 5x - \frac{3}{4}x\\\frac{5+250}{6} = \frac{20x -3x}{4}\\\frac{255}{6} = \frac{17x}{4}\\x = 10$

7 0

3 years ago

What is the x intercept of -6x-3y=18?

damaskus [11]

<span>-6x-3y=18
Substitute 0 for y
-6x-3(0)=18
Multply -3 by 0
-6x=18
Divide both sides by -6 so that the only thing on the left side is the variable x.
Final Answer: x= -3</span>

4 0

3 years ago

What is the equation of the translated function g(x) if f(x)=x^2

LenaWriter [7]

$\boxed{(f\circ g)(x)=x^2}$

3 0

3 years ago

Read 2 more answers