All categories

3 years ago

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

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

5 0

Answer:

f(x) crosses the x-axis, then

f(x)=(x+4)^6(x+7)^5 = 0

=> x+4 =0 or x+7=0

=> x =-4 or x = -7

You might be interested in

ASAP PLZZZ The axis of symmetry for the graph of the function f start bracket x end bracket equals one-quarter x square plus b x

Lilit [14]

Answer:

$b=-3$

Step-by-step explanation:

The given function is $f(x)=\frac{1}{4}x^2+bx+10$ .

When we compare to $ax^2+bx+=0$ , we have

$a=\frac{1}{4}$ and c=10

The equation of the axis of symmetry of a vertical parabola is:

$x=-\frac{b}{2a}$

Also from the question the axis of symmetry is x=6

We substitute the values to get:

$6=-\frac{b}{2*\frac{1}{4}}$

$6=-\frac{b}{\frac{1}{2}}$

$b=-\frac{1}{2}*6$

$b=-3$

7 0

3 years ago

Read 2 more answers

Solve for z 15z–19≥–9 or z+13≤6

babunello [35]

Answer:

the answer is A

i hope this helps

5 0

3 years ago

Read 2 more answers

A garden in the shape of an equilateral triangle

Strike441 [17]

Answer:

area is $25\sqrt{3}$

Step-by-step explanation:

the hight is $5\sqrt{3}$

$5\sqrt{3}$ *10/2= $25\sqrt{3}$

8 0

2 years ago

WHAT IS THIS???????

kodGreya [7K]

Answer:

i think you have to mark where the dog leashes go on the line plot based on their length?? for example, a 3 foot dog leash is on the list, so maybe you're supposed to put an X or something above the number 3 on the line plot? so sorry if this didn't help..

7 0

3 years ago

Write a system of inequalities using the given graph

ch4aika [34]

Take two points

(-2,1)
(0,-3)

Slope

m=-3-1/0+2=-4/2=-2

Parallel lines so slopes are equal

Only y intercept will vary

So both lines have y intercept at -3 and -1 respectively

The equations

y=-2x-3
y=-2x-1

Put (0,0) on first one

0>-3

On second one

0>-1

So as lines are dashed symbols remain >

The inequalities are

y>-2x-3
y>-2x-1

4 0

1 year ago